pacman::p_load(tidyverse, sf, sp,DT,stplanr,reshape2,ggpubr,
tmap,performance,httr,corrplot)Take Home Exercise 2
Overview
This study focuses on analyzing weekday morning peak bus commuter flows (6 AM to 9 AM) in Singapore, aiming to understand travel patterns and behaviors during these crucial hours. By examining spatial interactions among various locales, the study seeks to uncover key trends in urban mobility and commuter preferences.
Getting started
tidyverse for importing, integrating, wrangling and visualising data.
sf for importing, integrating, processing and transforming geospatial data.
sp for spatial data
DT for working with HTTP organised by HTTP verbs.
stplanr for transport planning and analysis
reshape2 for melt function
ggpubr for creating publication quality statistical graphics.
tmap for plotting cartographicquality thematic maps.
performance for computing model comparison matrices such as rmse.
httr for working with HTTP
corrplot for correlation matrix
Preparing the Flow Data
Importing the OD data
odbus <- read_csv("data/aspatial/origin_destination_bus_202310.csv")Rows: 5694297 Columns: 7
── Column specification ────────────────────────────────────────────────────────
Delimiter: ","
chr (5): YEAR_MONTH, DAY_TYPE, PT_TYPE, ORIGIN_PT_CODE, DESTINATION_PT_CODE
dbl (2): TIME_PER_HOUR, TOTAL_TRIPS
ℹ Use `spec()` to retrieve the full column specification for this data.
ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.glimpse(odbus)Rows: 5,694,297
Columns: 7
$ YEAR_MONTH <chr> "2023-10", "2023-10", "2023-10", "2023-10", "2023-…
$ DAY_TYPE <chr> "WEEKENDS/HOLIDAY", "WEEKDAY", "WEEKENDS/HOLIDAY",…
$ TIME_PER_HOUR <dbl> 16, 16, 14, 14, 17, 17, 17, 7, 14, 14, 10, 20, 20,…
$ PT_TYPE <chr> "BUS", "BUS", "BUS", "BUS", "BUS", "BUS", "BUS", "…
$ ORIGIN_PT_CODE <chr> "04168", "04168", "80119", "80119", "44069", "2028…
$ DESTINATION_PT_CODE <chr> "10051", "10051", "90079", "90079", "17229", "2014…
$ TOTAL_TRIPS <dbl> 3, 5, 3, 5, 4, 1, 24, 2, 1, 7, 3, 2, 5, 1, 1, 1, 1…summary(odbus) YEAR_MONTH DAY_TYPE TIME_PER_HOUR PT_TYPE
Length:5694297 Length:5694297 Min. : 0.00 Length:5694297
Class :character Class :character 1st Qu.:10.00 Class :character
Mode :character Mode :character Median :14.00 Mode :character
Mean :14.04
3rd Qu.:18.00
Max. :23.00
ORIGIN_PT_CODE DESTINATION_PT_CODE TOTAL_TRIPS
Length:5694297 Length:5694297 Min. : 1.00
Class :character Class :character 1st Qu.: 2.00
Mode :character Mode :character Median : 4.00
Mean : 20.76
3rd Qu.: 12.00
Max. :36668.00 # check for NA values
sum(is.na(odbus))[1] 0sapply(odbus, function(x) sum(is.na(x))) YEAR_MONTH DAY_TYPE TIME_PER_HOUR PT_TYPE
0 0 0 0
ORIGIN_PT_CODE DESTINATION_PT_CODE TOTAL_TRIPS
0 0 0 # convert ORIGIN_PT_CODE and DESTINATION_PT_CODE columns)
odbus$ORIGIN_PT_CODE <-
as.factor(odbus$ORIGIN_PT_CODE)
odbus$DESTINATION_PT_CODE <-
as.factor(odbus$DESTINATION_PT_CODE)Data Aggregation
I focus on aggregating weekday trip data between 6 and 9 AM at each origin-destination pair, summing up the total trips to analyze commuting patterns during morning peak hours.
# Aggregate data for between 6 and 9 AM
origin6_9wdm <- odbus %>%
filter(DAY_TYPE == "WEEKDAY") %>%
filter(TIME_PER_HOUR >= 6 & TIME_PER_HOUR <= 9) %>%
group_by(ORIGIN_PT_CODE, DESTINATION_PT_CODE) %>%
summarise(TRIPS = sum(TOTAL_TRIPS))`summarise()` has grouped output by 'ORIGIN_PT_CODE'. You can override using
the `.groups` argument.head(origin6_9wdm)# A tibble: 6 × 3
# Groups: ORIGIN_PT_CODE [1]
ORIGIN_PT_CODE DESTINATION_PT_CODE TRIPS
<fct> <fct> <dbl>
1 01012 01112 290
2 01012 01113 118
3 01012 01121 77
4 01012 01211 118
5 01012 01311 165
6 01012 07371 14Save output in rds for later use
write_rds(origin6_9wdm, "data/rds/origin6_9wdm.rds") Import rds file in R
origin6_9wdm <- read_rds("data/rds/origin6_9wdm.rds") Prepare for Geospatial Analysis
Map the bus stop codes to their geographical locations (latitude and longitude) by joining data with another dataset that contains these geographical coordinates.
below 3 data will be used:
Bus Stop Location (Last updated Jul 2023) from LTADataMall (Last updated Jul 2023)
Master Plan 2019 Subzone Boundary (No Sea) from Data.gov.sg updated on December 23, 2019
hexagon, a hexagon layer of 375m (this distance is the perpendicular distance between the centre of the hexagon and its edges.)
busstop <- st_read(dsn = "data/geospatial",
layer = "BusStop") %>%
st_transform(crs = 3414)Reading layer `BusStop' from data source
`C:\kekekay\ISSS624\Take-home_Ex2\data\geospatial' using driver `ESRI Shapefile'
Simple feature collection with 5161 features and 3 fields
Geometry type: POINT
Dimension: XY
Bounding box: xmin: 3970.122 ymin: 26482.1 xmax: 48284.56 ymax: 52983.82
Projected CRS: SVY21mpsz <- st_read(dsn = "data/geospatial",
layer = "MPSZ-2019") %>%
st_transform(crs = 3414)Reading layer `MPSZ-2019' from data source
`C:\kekekay\ISSS624\Take-home_Ex2\data\geospatial' using driver `ESRI Shapefile'
Simple feature collection with 332 features and 6 fields
Geometry type: MULTIPOLYGON
Dimension: XY
Bounding box: xmin: 103.6057 ymin: 1.158699 xmax: 104.0885 ymax: 1.470775
Geodetic CRS: WGS 84write mpsz sf tibble data frame into an rds file and import in R enviroment
mpsz <- write_rds(mpsz, "data/rds/mpsz.rds")
mpsz <- read_rds("data/rds/mpsz.rds")glimpse(busstop)Rows: 5,161
Columns: 4
$ BUS_STOP_N <chr> "22069", "32071", "44331", "96081", "11561", "66191", "2338…
$ BUS_ROOF_N <chr> "B06", "B23", "B01", "B05", "B05", "B03", "B02A", "B02", "B…
$ LOC_DESC <chr> "OPP CEVA LOGISTICS", "AFT TRACK 13", "BLK 239", "GRACE IND…
$ geometry <POINT [m]> POINT (13576.31 32883.65), POINT (13228.59 44206.38),…glimpse(mpsz)Rows: 332
Columns: 7
$ SUBZONE_N <chr> "MARINA EAST", "INSTITUTION HILL", "ROBERTSON QUAY", "JURON…
$ SUBZONE_C <chr> "MESZ01", "RVSZ05", "SRSZ01", "WISZ01", "MUSZ02", "MPSZ05",…
$ PLN_AREA_N <chr> "MARINA EAST", "RIVER VALLEY", "SINGAPORE RIVER", "WESTERN …
$ PLN_AREA_C <chr> "ME", "RV", "SR", "WI", "MU", "MP", "WI", "WI", "SI", "SI",…
$ REGION_N <chr> "CENTRAL REGION", "CENTRAL REGION", "CENTRAL REGION", "WEST…
$ REGION_C <chr> "CR", "CR", "CR", "WR", "CR", "CR", "WR", "WR", "CR", "CR",…
$ geometry <MULTIPOLYGON [m]> MULTIPOLYGON (((33222.98 29..., MULTIPOLYGON (…Geospatial data wrangling
Combining Busstop and mpsz
create busstop_mpsz by intersecting bus stop locations with Master Plan Subzone Boundaries. This step identifies the subzone each bus stop is located in.
busstop_mpsz <- st_intersection(busstop, mpsz) %>%
select(BUS_STOP_N, SUBZONE_C) Warning: attribute variables are assumed to be spatially constant throughout
all geometrieswrite_rds(busstop_mpsz, "data/rds/busstop_mpsz.rds") Create Analytical Hexagons
Create a hexagonal grid to represent Traffic Analysis Zones (TAZs) and add ID to each hexagon:
# cell size of layer of 375m
area_honeycomb_grid = st_make_grid(busstop_mpsz, c(750, 750), what = "polygons", square = FALSE, crs = 3414)
# To sf and add grid ID
honeycomb_grid_sf = st_sf(area_honeycomb_grid)st_write(honeycomb_grid_sf, "data/geospatial/hexagon.shp",append=TRUE)Updating layer `hexagon' to data source `data/geospatial/hexagon.shp' using driver `ESRI Shapefile'
Updating existing layer hexagon
Writing 2299 features with 0 fields and geometry type Polygon.hexagon <- st_read(dsn = "data/geospatial",
layer = "hexagon") %>%
st_transform(crs = 3414)Reading layer `hexagon' from data source
`C:\kekekay\ISSS624\Take-home_Ex2\data\geospatial' using driver `ESRI Shapefile'
Simple feature collection with 22990 features and 1 field
Geometry type: POLYGON
Dimension: XY
Bounding box: xmin: 3220.122 ymin: 26049.09 xmax: 48970.12 ymax: 50947.32
Projected CRS: SVY21 / Singapore TMCombine Hexagon and Busstop
perform spatial joins to map bus stops to their respective hexagons. This mapping is to analyze data within the spatial framework provided by the hexagons.
od_data <- st_join(busstop_mpsz , hexagon,
by = c("geometry" = "geometry")) hexagon_busstop <- st_join(hexagon, busstop, by = c("FID" = "FID"))
hexagon_busstop <- hexagon_busstop %>%
drop_na() %>%
group_by(FID)
write_rds(hexagon_busstop, "data/rds/hexagon_busstop.rds")Join OD Data with Geospatial Data
associate each bus stop code in your origin-destination (OD) data with its corresponding geographical location from the busstop dataset.
# Join OD data with bus stop geospatial data for both origin and destination
od_data_1 <- left_join(origin6_9wdm , od_data,
by = c("ORIGIN_PT_CODE" = "BUS_STOP_N")) %>%
rename(ORIGIN_BS = ORIGIN_PT_CODE,
ORIGIN_SZ = SUBZONE_C,
DESTIN_BS = DESTINATION_PT_CODE)Warning in left_join(origin6_9wdm, od_data, by = c(ORIGIN_PT_CODE = "BUS_STOP_N")): Detected an unexpected many-to-many relationship between `x` and `y`.
ℹ Row 1 of `x` matches multiple rows in `y`.
ℹ Row 6721 of `y` matches multiple rows in `x`.
ℹ If a many-to-many relationship is expected, set `relationship =
"many-to-many"` to silence this warning.# to check for duplicating records
duplicate <- od_data_1 %>%
group_by_all() %>%
filter(n()>1) %>%
ungroup()
glimpse(duplicate)Rows: 2,165,308
Columns: 6
$ ORIGIN_BS <chr> "01012", "01012", "01012", "01012", "01012", "01012", "01012…
$ DESTIN_BS <fct> 01112, 01112, 01112, 01112, 01112, 01112, 01112, 01112, 0111…
$ TRIPS <dbl> 290, 290, 290, 290, 290, 290, 290, 290, 290, 118, 118, 118, …
$ ORIGIN_SZ <chr> "RCSZ10", "RCSZ10", "RCSZ10", "RCSZ10", "RCSZ10", "RCSZ10", …
$ FID <dbl> NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, …
$ geometry <POINT [m]> POINT (30140.8 31031.95), POINT (30140.8 31031.95), PO…only retain unique values
od_data_1 <- unique(od_data_1)check duplicate again, it should become empty now
duplicate <- od_data_1 %>%
group_by_all() %>%
filter(n()>1) %>%
ungroup()
glimpse(duplicate)Rows: 0
Columns: 6
$ ORIGIN_BS <chr>
$ DESTIN_BS <fct>
$ TRIPS <dbl>
$ ORIGIN_SZ <chr>
$ FID <dbl>
$ geometry <GEOMETRY [m]> do the same for destination
od_data_2 <- left_join(od_data_1 , od_data,
by = c("DESTIN_BS" = "BUS_STOP_N")) Warning in left_join(od_data_1, od_data, by = c(DESTIN_BS = "BUS_STOP_N")): Detected an unexpected many-to-many relationship between `x` and `y`.
ℹ Row 1 of `x` matches multiple rows in `y`.
ℹ Row 6711 of `y` matches multiple rows in `x`.
ℹ If a many-to-many relationship is expected, set `relationship =
"many-to-many"` to silence this warning.duplicate <- od_data_2 %>%
group_by_all() %>%
filter(n()>1) %>%
ungroup()
od_data_2 <- unique(od_data_2)
od_data_2 <- od_data_2 %>%
drop_na() %>%
group_by(FID.x, FID.y) %>%
summarise(MORNING_PEAK = sum(TRIPS))`summarise()` has grouped output by 'FID.x'. You can override using the
`.groups` argument.write_rds(od_data_2, "data/rds/od_data_2.rds")
od_data_2 <- read_rds("data/rds/od_data_2.rds")Visualising Spatial Interaction
Visualizing spatial interactions using desire lines, a concept in transport planning that represents the movement of commuters between two points.
prepare a desire line by using stplanr package
Removing intra-zonal flows
od_data_3 <- od_data_2[od_data_2$FID.x!=od_data_2$FID.y,]Creating desire lines
flowLine <- od2line(flow = od_data_3,
zones = hexagon,
zone_code = "FID")Creating centroids representing desire line start and end points.Visualizing the desired lines
tmap_mode("plot")tmap mode set to plottingtmap_options(check.and.fix = TRUE)
tm_shape(mpsz) +
tm_polygons() +
tm_shape(hexagon_busstop) +
tm_polygons() +
flowLine %>%
tm_shape() +
tm_lines(lwd = "MORNING_PEAK",
style = "quantile",
scale = c(0.1, 1, 3, 5, 7, 10),
n = 6,
alpha = 0.3)Warning: The shape mpsz is invalid. See sf::st_is_validWarning in g$scale * (x/maxW): longer object length is not a multiple of
shorter object length
Thicker lines indicate higher volumes of commuters, highlighting major transit corridors or popular commuter routes. Below map filters to show only flows with MORNING_PEAK values above 5000, focusing on the most significant commuter movements.
tmap_mode("view")tmap mode set to interactive viewingtm_shape(mpsz) +
tm_polygons() +
tm_shape(hexagon_busstop) +
tm_polygons() +
flowLine %>%
filter(MORNING_PEAK >= 5000) %>%
tm_shape() +
tm_lines(lwd = "MORNING_PEAK",
style = "quantile",
scale = c(0.1, 1, 3, 5, 7, 10),
n = 6,
alpha = 0.3) + tm_dots() + tm_view(set.zoom.limits = c(11,14))Warning: The shape mpsz is invalid (after reprojection). See sf::st_is_validWarning in g$scale * (x/maxW): longer object length is not a multiple of
shorter object lengthLegend for line widths not available in view mode.Propulsive and attractiveness variables
To perform our modelling, we need to identify the propulsiveness and attractiveness variables we will use for our model.
As our data will be based on real-world data, Passenger Volume By Origin Destination Bus Stops from LTA DataMall via API, we can think of possible factors based on our real-world experience.
As we are interested in the factors that influence weekday morning 6-9am peak period bus commuting patterns, we will consider the following variables.
Attractiveness:
| VARIABLE NAME | DATA SOURCE | DESCRIPTION | USAGE |
|---|---|---|---|
| BUS_STOP_COUNT | Bus Stop Location from LTA DataMall | commuters travel from bus stop to destination | gauge the density of bus stops, which might influence commuter decisions on where to alight or board. |
| TRAIN_EXITS_COUNT | Train Station Exit Point from LTA DataMall | if there is any potential transition from train station to busstop | understanding multimodal transport behavior, especially in urban areas where trains and buses are commonly used in tandem. |
| HDB_COUNT | hdb.csv aspatial data provided by Prof. Kam |
the number of Housing Development Board (HDB) units or buildings in the vicinity of a bus stop | understanding how residential patterns affect bus commuting, with areas having more HDB units likely seeing higher bus usage. |
| BUSINESS_COUNT | business.shp geospatial data provided by Prof. Kam |
Counts the number of business establishments near a bus stop | Indicates areas of commercial activity which are likely destinations for commuters, influencing bus stop attractiveness. |
| RETAIL_COUNT | Retails.shp geospatial data provided by Prof. Kam |
count of retail outlets in the vicinity of a bus stop | indicator of retail activity which can be a major destination for commuters, especially in urban settings |
business <- st_read(dsn = "data/geospatial",
layer = "Business") %>%
st_transform(crs = 3414)Reading layer `Business' from data source
`C:\kekekay\ISSS624\Take-home_Ex2\data\geospatial' using driver `ESRI Shapefile'
Simple feature collection with 6550 features and 3 fields
Geometry type: POINT
Dimension: XY
Bounding box: xmin: 3669.148 ymin: 25408.41 xmax: 47034.83 ymax: 50148.54
Projected CRS: SVY21 / Singapore TMhexagon_busstop$`BUSINESS_COUNT`<- lengths(
st_intersects(
hexagon_busstop, business))
summary(hexagon_busstop$BUSINESS_COUNT) Min. 1st Qu. Median Mean 3rd Qu. Max.
0.000 0.000 1.000 7.477 7.000 97.000 tmap_mode("plot")tmap mode set to plottingtm_shape(mpsz) +
tm_polygons() +
tm_shape(hexagon_busstop) +
tm_polygons() +
tm_shape(business) +
tm_dots() Warning: The shape mpsz is invalid. See sf::st_is_valid
Business Count
Retails <- st_read(dsn = "data/geospatial",
layer = "Retails") %>%
st_transform(crs = 3414)Reading layer `Retails' from data source
`C:\kekekay\ISSS624\Take-home_Ex2\data\geospatial' using driver `ESRI Shapefile'
Simple feature collection with 37635 features and 3 fields
Geometry type: POINT
Dimension: XY
Bounding box: xmin: 4737.982 ymin: 25171.88 xmax: 48265.04 ymax: 50135.28
Projected CRS: SVY21 / Singapore TMhexagon_busstop$`RETAIL_COUNT`<- lengths(
st_intersects(
hexagon_busstop, Retails))
summary(hexagon_busstop$RETAIL_COUNT) Min. 1st Qu. Median Mean 3rd Qu. Max.
0.00 4.00 17.00 61.04 59.00 1678.00 tmap_mode("plot")tmap mode set to plottingtm_shape(mpsz) +
tm_polygons() +
tm_shape(hexagon_busstop) +
tm_polygons() +
tm_shape(Retails) +
tm_dots() Warning: The shape mpsz is invalid. See sf::st_is_valid
Retails count
train <- st_read(dsn = "data/geospatial",
layer = "Train_Station_Exit_Layer") %>%
st_transform(crs = 3414)Reading layer `Train_Station_Exit_Layer' from data source
`C:\kekekay\ISSS624\Take-home_Ex2\data\geospatial' using driver `ESRI Shapefile'
Simple feature collection with 565 features and 2 fields
Geometry type: POINT
Dimension: XY
Bounding box: xmin: 6134.086 ymin: 27499.7 xmax: 45356.36 ymax: 47865.92
Projected CRS: SVY21hexagon_busstop$`TRAIN_COUNT`<- lengths(
st_intersects(
hexagon_busstop, train))
summary(hexagon_busstop$TRAIN_COUNT) Min. 1st Qu. Median Mean 3rd Qu. Max.
0.0000 0.0000 0.0000 0.9643 1.0000 13.0000 tmap_mode("plot")tmap mode set to plottingtm_shape(mpsz) +
tm_polygons() +
tm_shape(hexagon_busstop) +
tm_polygons() +
tm_shape(train) +
tm_dots() Warning: The shape mpsz is invalid. See sf::st_is_valid
Train Station Exit Count
bus <- st_read(dsn = "data/geospatial",
layer = "BusStop") %>%
st_transform(crs = 3414)Reading layer `BusStop' from data source
`C:\kekekay\ISSS624\Take-home_Ex2\data\geospatial' using driver `ESRI Shapefile'
Simple feature collection with 5161 features and 3 fields
Geometry type: POINT
Dimension: XY
Bounding box: xmin: 3970.122 ymin: 26482.1 xmax: 48284.56 ymax: 52983.82
Projected CRS: SVY21hexagon_busstop$`BUS_STOP_COUNT`<- lengths(
st_intersects(
hexagon_busstop, busstop))
summary(hexagon_busstop$BUS_STOP_COUNT) Min. 1st Qu. Median Mean 3rd Qu. Max.
1.000 6.000 8.000 8.465 11.000 19.000 tmap_mode("plot")tmap mode set to plottingtm_shape(mpsz) +
tm_polygons() +
tm_shape(hexagon_busstop) +
tm_polygons() +
tm_shape(bus) +
tm_dots() Warning: The shape mpsz is invalid. See sf::st_is_valid
HDB Count
data <- read.csv("data/aspatial/hdb.csv")coordinates <- data[, c("lng", "lat")]
spatial_points <- SpatialPointsDataFrame(coordinates, data)
# Create a SpatialPoints object
coordinates <- data[, c("lng", "lat")]
spatial_points <- SpatialPoints(coords = coordinates)
# Define the current CRS (WGS84 - EPSG:4326)
proj4string(spatial_points) <- CRS("+proj=longlat +datum=WGS84")
# Convert SpatialPoints to an sf object
sf_points <- st_as_sf(spatial_points)
# Define EPSG:3414 CRS
epsg_3414_crs <- st_crs(3414)
# Transform the sf object to EPSG:3414
sf_points_3414 <- st_transform(sf_points, crs = epsg_3414_crs)
# Convert back to SpatialPoints
spatial_points_3414 <- as(sf_points_3414, "Spatial")tmap_mode("plot")tmap mode set to plottingtm_shape(mpsz) +
tm_polygons() +
tm_shape(hexagon_busstop) +
tm_polygons() +
tm_shape(spatial_points_3414) +
tm_dots()Warning: The shape mpsz is invalid. See sf::st_is_valid
sf_spatial_points_3414 <- st_as_sf(spatial_points_3414)
intersections <- st_intersects(hexagon_busstop, sf_spatial_points_3414)
hexagon_busstop$HDB_COUNT <- lengths(intersections)
summary(hexagon_busstop$HDB_COUNT) Min. 1st Qu. Median Mean 3rd Qu. Max.
0.00 0.00 12.00 23.02 41.00 103.00 | Propulsiveness: |
| VARIABLE NAME | DATA SOURCE | DESCRIPTION |
|---|---|---|
| BUS_ALIGHT_COUNT | Passenger Volume By Origin Destination Bus Stops from LTA DataMall via API | Commuters who alight from a bus stop within can transfer to another bus to reach |
| TRAIN_ALIGHT_COUNT | Passenger Volume By Train Stations from LTA DataMall via API | Commuters who alight from a train station can transfer to a bus to reach their final destination |
| HDB_RESIDENT_COUNT | hdb.csv aspatial data provided by Prof. Kam |
Residents in an area are potential bus commuters |
The code chunks below will perform geocoding using SLA OneMap API.
2 tibble data.frames will be created if the geocoding process completed successfully. They are called found and not_found. found contains all records that are geocoded correctly and not_found contains postal that failed to be geocoded.
Lastly, the found data table will joined with the initial csv data table by using a unique identifier (i.e. POSTAL) common to both data tables. The output data table will then save as an csv file called found.
url<-"https://www.onemap.gov.sg/api/common/elastic/search"
csv<-read_csv("data/aspatial/hdb.csv")New names:
Rows: 12442 Columns: 37
── Column specification
──────────────────────────────────────────────────────── Delimiter: "," chr
(18): blk_no, street, residential, commercial, market_hawker, miscellane... dbl
(19): ...1, max_floor_lvl, year_completed, total_dwelling_units, 1room_s...
ℹ Use `spec()` to retrieve the full column specification for this data. ℹ
Specify the column types or set `show_col_types = FALSE` to quiet this message.
• `` -> `...1`postcodes<-csv$`postal`
found<-data.frame()
not_found<-data.frame()
for(postcode in postcodes){
query<-list('searchVal'=postcode,'returnGeom'='Y','getAddrDetails'='Y','pageNum'='1')
res<- GET(url,query=query)
if((content(res)$found)!=0){
found<-rbind(found,data.frame(content(res))[4:13])
} else{
not_found = data.frame(postcode)
}
}merged = merge(csv, found, by.x = 'postal', by.y = 'results.POSTAL', all = TRUE)
write.csv(merged, file = "data/aspatial/hdbcsv.csv")
write.csv(not_found, file = "data/aspatial/not_found.csv")transform the merged HDB data into a spatial format (sf) compatible with analysis.
hdbcsv <- read_csv("data/aspatial/hdbcsv.csv") %>%
rename(latitude = "results.LATITUDE",
longitude = "results.LONGITUDE",address = "results.ADDRESS") %>%
select(postal, address, latitude, longitude)New names:
Rows: 12544 Columns: 47
── Column specification
──────────────────────────────────────────────────────── Delimiter: "," chr
(23): postal, blk_no, street, residential, commercial, market_hawker, mi... dbl
(24): ...1, ...3, max_floor_lvl, year_completed, total_dwelling_units, 1...
ℹ Use `spec()` to retrieve the full column specification for this data. ℹ
Specify the column types or set `show_col_types = FALSE` to quiet this message.
• `` -> `...1`
• `...1` -> `...3`# Identify rows with missing values in "longitude" or "latitude"
missing_rows <- hdbcsv[is.na(hdbcsv$longitude) | is.na(hdbcsv$latitude), ]
# Display the rows with missing values
print(missing_rows)# A tibble: 79 × 4
postal address latitude longitude
<chr> <chr> <dbl> <dbl>
1 310029 <NA> NA NA
2 310031 <NA> NA NA
3 760102 <NA> NA NA
4 NIL <NA> NA NA
5 NIL <NA> NA NA
6 NIL <NA> NA NA
7 NIL <NA> NA NA
8 NIL <NA> NA NA
9 NIL <NA> NA NA
10 NIL <NA> NA NA
# ℹ 69 more rows# Remove rows with missing values in "longitude" or "latitude"
hdbcsv <- hdbcsv[complete.cases(hdbcsv$longitude, hdbcsv$latitude), ]
hdb_sf <- st_as_sf(hdbcsv,
coords = c("longitude", "latitude"),
crs=4326) %>%
st_transform(crs = 3414)tmap_options(check.and.fix = TRUE)
tm_shape(mpsz) +
tm_polygons() +
tm_shape(hexagon_busstop) +
tm_polygons() +
tm_shape(hdb_sf) +
tm_dots()Warning: The shape mpsz is invalid. See sf::st_is_valid
number of hdbs located inside the hexagon layer.
hexagon_busstop$`HDB_COUNT`<- lengths(
st_intersects(
hexagon_busstop, hdb_sf))
summary(hexagon_busstop$`HDB_COUNT`) Min. 1st Qu. Median Mean 3rd Qu. Max.
0.00 0.00 12.00 23.12 41.00 103.00
Note
We can see there might be 0 values in HDB_COUNT field. If log() is going to use to transform this field, additional step is required to ensure that all 0 will be replaced with a value between 0 and 1 but not 0 neither 1.
join the hexagonal grid data with flow data (OD data) to add context like retail, business, finance, train station, HDB counts, and bus stop counts to each flow record.
hexagon_busstop_tidy <- hexagon_busstop %>%
st_drop_geometry() %>%
select(FID, BUSINESS_COUNT, RETAIL_COUNT,TRAIN_COUNT,HDB_COUNT,BUS_STOP_COUNT)
flow_data <- od_data_2 %>%
left_join(hexagon_busstop_tidy,
by = c("FID.y" = "FID"))Warning in left_join(., hexagon_busstop_tidy, by = c(FID.y = "FID")): Detected an unexpected many-to-many relationship between `x` and `y`.
ℹ Row 1 of `x` matches multiple rows in `y`.
ℹ Row 6 of `y` matches multiple rows in `x`.
ℹ If a many-to-many relationship is expected, set `relationship =
"many-to-many"` to silence this warning.summary(flow_data) FID.x FID.y MORNING_PEAK BUSINESS_COUNT
Min. : 20 Min. : 20 Min. : 1.0 Min. : 0.00
1st Qu.:1012 1st Qu.:1013 1st Qu.: 8.0 1st Qu.: 0.00
Median :1302 Median :1319 Median : 42.0 Median : 1.00
Mean :1294 Mean :1292 Mean : 450.8 Mean : 7.73
3rd Qu.:1567 3rd Qu.:1567 3rd Qu.: 199.0 3rd Qu.: 7.00
Max. :2266 Max. :2266 Max. :77433.0 Max. :97.00
RETAIL_COUNT TRAIN_COUNT HDB_COUNT BUS_STOP_COUNT
Min. : 0.0 Min. : 0.00 Min. : 0.00 Min. : 1.000
1st Qu.: 11.0 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 7.000
Median : 37.0 Median : 0.00 Median : 19.00 Median :10.000
Mean : 114.8 Mean : 1.68 Mean : 25.21 Mean : 9.591
3rd Qu.: 131.0 3rd Qu.: 3.00 3rd Qu.: 42.00 3rd Qu.:12.000
Max. :1678.0 Max. :13.00 Max. :103.00 Max. :19.000 replace zero counts in variables with a small non-zero value (0.99)
flow_data$RETAIL_COUNT <- ifelse(
flow_data$RETAIL_COUNT == 0,
0.99, flow_data$RETAIL_COUNT)
flow_data$BUSINESS_COUNT <- ifelse(
flow_data$BUSINESS_COUNT == 0,
0.99, flow_data$BUSINESS_COUNT)
flow_data$TRAIN_COUNT <- ifelse(
flow_data$TRAIN_COUNT == 0,
0.99, flow_data$TRAIN_COUNT)
flow_data$HDB_COUNT <- ifelse(
flow_data$HDB_COUNT == 0,
0.99, flow_data$HDB_COUNT)
flow_data$BUS_STOP_COUNT <- ifelse(
flow_data$BUS_STOP_COUNT == 0,
0.99, flow_data$BUS_STOP_COUNT)summary(flow_data) FID.x FID.y MORNING_PEAK BUSINESS_COUNT
Min. : 20 Min. : 20 Min. : 1.0 Min. : 0.990
1st Qu.:1012 1st Qu.:1013 1st Qu.: 8.0 1st Qu.: 0.990
Median :1302 Median :1319 Median : 42.0 Median : 1.000
Mean :1294 Mean :1292 Mean : 450.8 Mean : 8.157
3rd Qu.:1567 3rd Qu.:1567 3rd Qu.: 199.0 3rd Qu.: 7.000
Max. :2266 Max. :2266 Max. :77433.0 Max. :97.000
RETAIL_COUNT TRAIN_COUNT HDB_COUNT BUS_STOP_COUNT
Min. : 0.99 Min. : 0.990 Min. : 0.99 Min. : 1.000
1st Qu.: 11.00 1st Qu.: 0.990 1st Qu.: 0.99 1st Qu.: 7.000
Median : 37.00 Median : 0.990 Median : 19.00 Median :10.000
Mean : 114.86 Mean : 2.239 Mean : 25.48 Mean : 9.591
3rd Qu.: 131.00 3rd Qu.: 3.000 3rd Qu.: 42.00 3rd Qu.:12.000
Max. :1678.00 Max. :13.000 Max. :103.00 Max. :19.000 ensure uniqueness in dataset by removing duplicates.
duplicate <- flow_data %>%
group_by_all() %>%
filter(n()>1) %>%
ungroup()
flow_data <- unique(flow_data)
summary(flow_data) FID.x FID.y MORNING_PEAK BUSINESS_COUNT
Min. : 20 Min. : 20 Min. : 1.0 Min. : 0.990
1st Qu.: 994 1st Qu.:1003 1st Qu.: 7.0 1st Qu.: 0.990
Median :1297 Median :1295 Median : 38.0 Median : 1.000
Mean :1281 Mean :1279 Mean : 386.9 Mean : 7.731
3rd Qu.:1563 3rd Qu.:1548 3rd Qu.: 180.0 3rd Qu.: 6.000
Max. :2266 Max. :2266 Max. :77433.0 Max. :97.000
RETAIL_COUNT TRAIN_COUNT HDB_COUNT BUS_STOP_COUNT
Min. : 0.99 Min. : 0.990 Min. : 0.99 Min. : 1.00
1st Qu.: 7.00 1st Qu.: 0.990 1st Qu.: 0.99 1st Qu.: 5.00
Median : 29.00 Median : 0.990 Median : 10.00 Median : 7.00
Mean : 94.08 Mean : 1.976 Mean : 19.86 Mean : 7.79
3rd Qu.: 102.00 3rd Qu.: 2.000 3rd Qu.: 34.00 3rd Qu.:10.00
Max. :1678.00 Max. :13.000 Max. :103.00 Max. :19.00 write_rds(flow_data,
"data/rds/flow_data_tidy.rds")Computing Distance Matrix
Converting from sf data.table to SpatialPolygonsDataFrame
In spatial interaction, a distance matrix is a table that shows the distance between pairs of locations.
First as.Spatial() will be used to convert mpsz from sf tibble data frame to SpatialPolygonsDataFrame of sp object as shown in the code chunk below.
hexagon_busstop_sp <- as(hexagon_busstop, "Spatial")
hexagon_busstop_spclass : SpatialPolygonsDataFrame
features : 5151
extent : 3595.122, 48595.12, 26049.09, 50297.8 (xmin, xmax, ymin, ymax)
crs : +proj=tmerc +lat_0=1.36666666666667 +lon_0=103.833333333333 +k=1 +x_0=28001.642 +y_0=38744.572 +ellps=WGS84 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs
variables : 9
names : FID, BUS_STOP_N, BUS_ROOF_N, LOC_DESC, BUSINESS_COUNT, RETAIL_COUNT, TRAIN_COUNT, BUS_STOP_COUNT, HDB_COUNT
min values : 20, 01012, B01, 18 WOODSVILLE, 0, 0, 0, 1, 0
max values : 2266, 99189, UNK, ZUELLIG PHARMA, 97, 1678, 13, 19, 103 Computing the distance matrix
Next, spDists() of sp package will be used to compute the Euclidean distance between the centroids of the planning subzones.
dist <- spDists(hexagon_busstop_sp,
longlat = FALSE)
head(dist, n=c(10, 10)) [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8]
[1,] 0.000 750.000 3269.174 3269.174 1500.000 2704.163 2704.163 2704.163
[2,] 750.000 0.000 2598.076 2598.076 750.000 1984.313 1984.313 1984.313
[3,] 3269.174 2598.076 0.000 0.000 1984.313 750.000 750.000 750.000
[4,] 3269.174 2598.076 0.000 0.000 1984.313 750.000 750.000 750.000
[5,] 1500.000 750.000 1984.313 1984.313 0.000 1299.038 1299.038 1299.038
[6,] 2704.163 1984.313 750.000 750.000 1299.038 0.000 0.000 0.000
[7,] 2704.163 1984.313 750.000 750.000 1299.038 0.000 0.000 0.000
[8,] 2704.163 1984.313 750.000 750.000 1299.038 0.000 0.000 0.000
[9,] 2704.163 1984.313 750.000 750.000 1299.038 0.000 0.000 0.000
[10,] 3968.627 3269.174 750.000 750.000 2598.076 1299.038 1299.038 1299.038
[,9] [,10]
[1,] 2704.163 3968.627
[2,] 1984.313 3269.174
[3,] 750.000 750.000
[4,] 750.000 750.000
[5,] 1299.038 2598.076
[6,] 0.000 1299.038
[7,] 0.000 1299.038
[8,] 0.000 1299.038
[9,] 0.000 1299.038
[10,] 1299.038 0.000sz_names <- hexagon_busstop$FID
colnames(dist) <- paste0(sz_names)rownames(dist) <- paste0(sz_names)pivot the distance matrix into a long table by using the row and column subzone codes
distPair <- melt(dist) %>%
rename(dist = value)
head(distPair, 10) Var1 Var2 dist
1 20 20 0.000
2 39 20 750.000
3 41 20 3269.174
4 41 20 3269.174
5 59 20 1500.000
6 60 20 2704.163
7 60 20 2704.163
8 60 20 2704.163
9 60 20 2704.163
10 61 20 3968.627select and find out the minimum value of the distance by using summary() to update the intra-zonal distances
distPair %>%
filter(dist > 0) %>%
summary() Var1 Var2 dist
Min. : 20 Min. : 20 Min. : 750
1st Qu.: 832 1st Qu.: 832 1st Qu.: 7830
Median :1244 Median :1244 Median :12617
Mean :1188 Mean :1188 Mean :13318
3rd Qu.:1551 3rd Qu.:1551 3rd Qu.:17859
Max. :2266 Max. :2266 Max. :44680 the minimum non-zero distance is 750, we will use 200m as our intra-zonal distance
distPair$dist <- ifelse(distPair$dist == 0,
200, distPair$dist)
Why use 200m?
Half of the minimum distance of 750m is 375m, any number smaller than 375m and greater than 0 will be acceptable
Save the output
distPair %>%
summary() Var1 Var2 dist
Min. : 20 Min. : 20 Min. : 200
1st Qu.: 832 1st Qu.: 832 1st Qu.: 7830
Median :1244 Median :1244 Median :12617
Mean :1188 Mean :1188 Mean :13297
3rd Qu.:1551 3rd Qu.:1551 3rd Qu.:17859
Max. :2266 Max. :2266 Max. :44680 distPair <- distPair %>%
rename(orig = Var1,
dest = Var2)Calibrating Spatial Interaction Models
Importing the flow data
head(flow_data, 10)# A tibble: 10 × 8
# Groups: FID.x [2]
FID.x FID.y MORNING_PEAK BUSINESS_COUNT RETAIL_COUNT TRAIN_COUNT HDB_COUNT
<dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl>
1 20 60 1 50 5 0.99 0.99
2 20 78 1 3 0.99 0.99 0.99
3 20 115 4 6 0.99 0.99 0.99
4 20 139 3 42 3 0.99 0.99
5 20 158 93 44 2 2 0.99
6 20 159 1 0.99 0.99 0.99 0.99
7 39 20 1 0.99 0.99 0.99 0.99
8 39 60 2 50 5 0.99 0.99
9 39 77 1 3 0.99 0.99 0.99
10 39 79 2 66 5 0.99 0.99
# ℹ 1 more variable: BUS_STOP_COUNT <int>Separating intra-flow from passenger volume df
flow_data$FlowNoIntra <- ifelse(
flow_data$FID.x == flow_data$FID.y,
0, flow_data$MORNING_PEAK)
flow_data$offset <- ifelse(
flow_data$FID.x == flow_data$FID.y,
0.000001, 1)Combining flow data with distance value
flow_data$FID.x <- as.factor(flow_data$FID.x)
flow_data$FID.y <- as.factor(flow_data$FID.y)combine distance matrix and flow data
flow_data$FID.x <- as.integer(as.character(flow_data$FID.x))
flow_data$FID.y <- as.integer(as.character(flow_data$FID.y))
flow_data1 <- flow_data %>%
left_join (distPair,
by = c("FID.x" = "orig",
"FID.y" = "dest"))retain unique values only
duplicate <- flow_data1 %>%
group_by_all() %>%
filter(n()>1) %>%
ungroup()
flow_data1 <- unique(flow_data1)
write_rds(flow_data1, "data/rds/SIM_data.rds")Calibrating Spatial Interaction Models
Importing the modelling data
SIM_data <- read_rds("data/rds/SIM_data.rds")Normalisation test by visualising the dependent variable
Check distribution of “trips” by histogram
ggplot(data = SIM_data,
aes(x = MORNING_PEAK)) +
geom_histogram()`stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
we can see that the distribution is highly skewed and not resemble normal distribution.
Next, let us visualise the relation between the dependent variable and one of the key independent variable in Spatial Interaction Model, namely distance.
ggplot(data = SIM_data,
aes(x = dist,
y = MORNING_PEAK)) +
geom_point() +
geom_smooth(method = lm)`geom_smooth()` using formula = 'y ~ x'
We can see relationship hardly resemble linear relationship.
Use another scatter plot by using the log transformed version of both variables
ggplot(data = SIM_data,
aes(x = log(dist),
y = log(MORNING_PEAK))) +
geom_point() +
geom_smooth(method = lm)`geom_smooth()` using formula = 'y ~ x'
their relationship is more resemble linear relationship
Checking for variables with zero values
ensure that no 0 values in the explanatory variables since Poisson Regression is based of log and log 0 is undefined.
summary(SIM_data) FID.x FID.y MORNING_PEAK BUSINESS_COUNT
Min. : 20 Min. : 20 Min. : 1.0 Min. : 0.990
1st Qu.: 994 1st Qu.:1003 1st Qu.: 7.0 1st Qu.: 0.990
Median :1297 Median :1295 Median : 38.0 Median : 1.000
Mean :1281 Mean :1279 Mean : 386.9 Mean : 7.731
3rd Qu.:1563 3rd Qu.:1548 3rd Qu.: 180.0 3rd Qu.: 6.000
Max. :2266 Max. :2266 Max. :77433.0 Max. :97.000
RETAIL_COUNT TRAIN_COUNT HDB_COUNT BUS_STOP_COUNT
Min. : 0.99 Min. : 0.990 Min. : 0.99 Min. : 1.00
1st Qu.: 7.00 1st Qu.: 0.990 1st Qu.: 0.99 1st Qu.: 5.00
Median : 29.00 Median : 0.990 Median : 10.00 Median : 7.00
Mean : 94.08 Mean : 1.976 Mean : 19.86 Mean : 7.79
3rd Qu.: 102.00 3rd Qu.: 2.000 3rd Qu.: 34.00 3rd Qu.:10.00
Max. :1678.00 Max. :13.000 Max. :103.00 Max. :19.00
FlowNoIntra offset dist
Min. : 0 Min. :0.000001 Min. : 200
1st Qu.: 7 1st Qu.:1.000000 1st Qu.: 2704
Median : 37 Median :1.000000 Median : 5408
Mean : 371 Mean :0.990492 Mean : 6282
3rd Qu.: 173 3rd Qu.:1.000000 3rd Qu.: 8842
Max. :77433 Max. :1.000000 Max. :24784 Make sure both FID.x and FID.y are character
SIM_data$FID.x <- as.character(SIM_data$FID.x)
SIM_data$FID.y <- as.character(SIM_data$FID.y)Exploratory Data Analysis
Before performing a correlation check in the context of spatial interaction modeling, filtering out intra-zonal flows is necessary. Intra-zonal flows are the movements within the same zone, and they might not be relevant in the relationships and interactions between different zones.
inter_zonal_flow <- SIM_data %>%
filter(FlowNoIntra > 0)to check any missing value
sum(is.na(inter_zonal_flow))[1] 0summary(inter_zonal_flow) FID.x FID.y MORNING_PEAK BUSINESS_COUNT
Length:65111 Length:65111 Min. : 1.0 Min. : 0.990
Class :character Class :character 1st Qu.: 7.0 1st Qu.: 0.990
Mode :character Mode :character Median : 38.0 Median : 1.000
Mean : 374.5 Mean : 7.726
3rd Qu.: 176.0 3rd Qu.: 6.000
Max. :77433.0 Max. :97.000
RETAIL_COUNT TRAIN_COUNT HDB_COUNT BUS_STOP_COUNT
Min. : 0.99 Min. : 0.99 Min. : 0.99 Min. : 1.000
1st Qu.: 7.00 1st Qu.: 0.99 1st Qu.: 0.99 1st Qu.: 5.000
Median : 29.00 Median : 0.99 Median : 10.00 Median : 7.000
Mean : 94.44 Mean : 1.98 Mean : 19.86 Mean : 7.794
3rd Qu.: 102.00 3rd Qu.: 2.00 3rd Qu.: 34.00 3rd Qu.:10.000
Max. :1678.00 Max. :13.00 Max. :103.00 Max. :19.000
FlowNoIntra offset dist
Min. : 1.0 Min. :1 Min. : 750
1st Qu.: 7.0 1st Qu.:1 1st Qu.: 3000
Median : 38.0 Median :1 Median : 5408
Mean : 374.5 Mean :1 Mean : 6341
3rd Qu.: 176.0 3rd Qu.:1 3rd Qu.: 8842
Max. :77433.0 Max. :1 Max. :24784 Correlation Analysis
plot the correlation matrix using corrplot() at significance level of 0.05
inter_zonal_flow$RETAIL_COUNT<- as.numeric(inter_zonal_flow$RETAIL_COUNT)
inter_zonal_flow$BUSINESS_COUNT<- as.numeric(inter_zonal_flow$BUSINESS_COUNT)
inter_zonal_flow$HDB_COUNT<- as.numeric(inter_zonal_flow$HDB_COUNT)
inter_zonal_flow$TRAIN_COUNT<- as.numeric(inter_zonal_flow$TRAIN_COUNT)
inter_zonal_flow$BUS_STOP_COUNT<- as.numeric(inter_zonal_flow$BUS_STOP_COUNT) vars.cor = cor(inter_zonal_flow[,4:9])
corrplot(corr = vars.cor,
type = "lower",
method = "square",
title = "Correlation of model variables",
addCoef.col = "white",
number.cex = 0.5,
number.digits = 2,
tl.col = "blue",
tl.cex = 0.5,
tl.srt = 45,
sig.level = 0.05,
insig = "blank")
all variables will be retained
Spatial Interaction Model
1. Unconstrained
The Unconstrained Spatial Interaction Model is the simplest form of SIM. It assumes that the flow of interactions (such as people, goods, or information) between any two locations is independent of flows to/from other locations. This model primarily considers the distance or cost of interaction and the size (or importance) of the locations, but it does not impose any constraints on the total amount of interaction leaving an origin or arriving at a destination.
uncSIM <- glm(formula = MORNING_PEAK ~
log(RETAIL_COUNT)+
log(BUSINESS_COUNT)+
log(HDB_COUNT)+
log(TRAIN_COUNT)+
log(BUS_STOP_COUNT)+
log(dist),
family = poisson(link = "log"),
data = inter_zonal_flow,
na.action = na.exclude)CalcRSquared <- function(observed, estimated){
r <- cor(observed, estimated)
R2 <- r^2
R2
}Goodness of fit
CalcRSquared(uncSIM$data$MORNING_PEAK, uncSIM$fitted.values)[1] 0.18851242. Origin (Production) Constrained
This model puts a constraint on the total outflow from each origin (also known as the production constraint). It ensures that the total flow of interactions originating from a location equals a predefined value. This model could be useful when the total capacity or potential of each origin is known and needs to be accounted for, such as the number of commuters leaving a residential area.
orcSIM <- glm(formula = MORNING_PEAK ~
FID.x +
log(RETAIL_COUNT)+
log(BUSINESS_COUNT)+
log(HDB_COUNT)+
log(TRAIN_COUNT)+
log(BUS_STOP_COUNT)+
log(dist) - 1,
family = poisson(link = "log"),
data = inter_zonal_flow,
na.action = na.exclude)
summary(orcSIM)
Call:
glm(formula = MORNING_PEAK ~ FID.x + log(RETAIL_COUNT) + log(BUSINESS_COUNT) +
log(HDB_COUNT) + log(TRAIN_COUNT) + log(BUS_STOP_COUNT) +
log(dist) - 1, family = poisson(link = "log"), data = inter_zonal_flow,
na.action = na.exclude)
Coefficients:
Estimate Std. Error z value Pr(>|z|)
FID.x100 17.3858072 0.0114444 1519.154 <2e-16 ***
FID.x1000 14.2541038 0.0612382 232.765 <2e-16 ***
FID.x1001 13.2955447 0.0916931 145.000 <2e-16 ***
FID.x1002 15.1408650 0.0273987 552.612 <2e-16 ***
FID.x1003 19.0828232 0.0028235 6758.558 <2e-16 ***
FID.x1004 17.3871838 0.0075270 2309.967 <2e-16 ***
FID.x1009 16.2224771 0.0084413 1921.796 <2e-16 ***
FID.x101 13.1633394 0.0641852 205.084 <2e-16 ***
FID.x1010 14.6030511 0.0173803 840.209 <2e-16 ***
FID.x1011 14.6364125 0.0190162 769.680 <2e-16 ***
FID.x1012 15.6411478 0.0096600 1619.166 <2e-16 ***
FID.x1013 15.4934971 0.0130578 1186.529 <2e-16 ***
FID.x1022 17.8477148 0.0047181 3782.817 <2e-16 ***
FID.x1023 18.0549123 0.0040547 4452.825 <2e-16 ***
FID.x1024 17.2950787 0.0081883 2112.157 <2e-16 ***
FID.x1027 15.0271004 0.0152438 985.785 <2e-16 ***
FID.x1029 13.9987244 0.0284935 491.296 <2e-16 ***
FID.x1030 16.6866282 0.0052855 3157.031 <2e-16 ***
FID.x1032 16.6596352 0.0063659 2617.002 <2e-16 ***
FID.x1039 14.4370706 0.0516180 279.690 <2e-16 ***
FID.x1040 15.7721166 0.0171792 918.094 <2e-16 ***
FID.x1041 18.1361818 0.0037467 4840.523 <2e-16 ***
FID.x1042 17.1831268 0.0064604 2659.768 <2e-16 ***
FID.x1047 15.4279654 0.0110283 1398.939 <2e-16 ***
FID.x1048 16.5422051 0.0058163 2844.092 <2e-16 ***
FID.x1049 17.3854792 0.0040198 4325.010 <2e-16 ***
FID.x1060 18.3097413 0.0039859 4593.648 <2e-16 ***
FID.x1061 18.2361668 0.0038866 4692.041 <2e-16 ***
FID.x1062 16.0399696 0.0119884 1337.961 <2e-16 ***
FID.x1063 11.8962039 0.2672693 44.510 <2e-16 ***
FID.x1065 15.4649321 0.0103565 1493.263 <2e-16 ***
FID.x1066 16.1339894 0.0069480 2322.119 <2e-16 ***
FID.x1067 17.0242563 0.0045453 3745.474 <2e-16 ***
FID.x1068 16.2081205 0.0066318 2443.988 <2e-16 ***
FID.x1070 15.4385249 0.0116676 1323.201 <2e-16 ***
FID.x1077 14.6907587 0.0478835 306.802 <2e-16 ***
FID.x1079 17.4398538 0.0062310 2798.906 <2e-16 ***
FID.x1080 17.4173868 0.0052654 3307.891 <2e-16 ***
FID.x1081 15.8974463 0.0132686 1198.124 <2e-16 ***
FID.x1085 16.3975168 0.0067620 2424.938 <2e-16 ***
FID.x1086 16.0572512 0.0072021 2229.530 <2e-16 ***
FID.x1088 16.6041630 0.0060531 2743.086 <2e-16 ***
FID.x1089 16.4514106 0.0069052 2382.452 <2e-16 ***
FID.x1096 13.8904423 0.0891135 155.874 <2e-16 ***
FID.x1099 18.0383505 0.0042429 4251.429 <2e-16 ***
FID.x1100 15.0165908 0.0396817 378.427 <2e-16 ***
FID.x1101 14.1293466 0.0393976 358.635 <2e-16 ***
FID.x1103 17.3120451 0.0043813 3951.346 <2e-16 ***
FID.x1104 16.8590494 0.0047840 3524.046 <2e-16 ***
FID.x1105 16.4972272 0.0097179 1697.605 <2e-16 ***
FID.x1106 14.5813426 0.0167092 872.653 <2e-16 ***
FID.x1107 15.5152166 0.0103624 1497.263 <2e-16 ***
FID.x1114 11.8285705 0.1889926 62.587 <2e-16 ***
FID.x1115 13.4865768 0.1118259 120.603 <2e-16 ***
FID.x1118 15.5037123 0.0137050 1131.241 <2e-16 ***
FID.x1119 15.8239548 0.0136208 1161.753 <2e-16 ***
FID.x1122 15.5468993 0.0100928 1540.397 <2e-16 ***
FID.x1123 16.2189416 0.0069173 2344.698 <2e-16 ***
FID.x1124 16.6925754 0.0050984 3274.050 <2e-16 ***
FID.x1127 15.6809914 0.0091631 1711.326 <2e-16 ***
FID.x1137 16.8003444 0.0074280 2261.761 <2e-16 ***
FID.x1138 17.7162700 0.0052233 3391.804 <2e-16 ***
FID.x1139 15.8387516 0.0142171 1114.067 <2e-16 ***
FID.x1141 15.9405097 0.0082954 1921.603 <2e-16 ***
FID.x1142 16.4287574 0.0054504 3014.249 <2e-16 ***
FID.x1143 15.3264376 0.0117743 1301.684 <2e-16 ***
FID.x1144 14.9065040 0.0139633 1067.549 <2e-16 ***
FID.x1145 16.3357373 0.0078454 2082.202 <2e-16 ***
FID.x1146 14.5300027 0.0255602 568.462 <2e-16 ***
FID.x115 16.6020996 0.0223373 743.247 <2e-16 ***
FID.x1151 12.1056185 0.1154869 104.822 <2e-16 ***
FID.x1152 15.9971294 0.0119372 1340.113 <2e-16 ***
FID.x1156 17.8003731 0.0042123 4225.764 <2e-16 ***
FID.x1157 15.5093101 0.0135973 1140.615 <2e-16 ***
FID.x116 13.6716621 0.1889948 72.339 <2e-16 ***
FID.x1160 17.5391082 0.0041508 4225.430 <2e-16 ***
FID.x1161 16.8111457 0.0049995 3362.561 <2e-16 ***
FID.x1162 17.5182765 0.0037513 4669.924 <2e-16 ***
FID.x1163 15.6473824 0.0101119 1547.416 <2e-16 ***
FID.x1166 13.8030732 0.0451369 305.805 <2e-16 ***
FID.x117 13.8302007 0.0602257 229.639 <2e-16 ***
FID.x1170 12.6687943 0.0891117 142.168 <2e-16 ***
FID.x1171 17.5388397 0.0061222 2864.787 <2e-16 ***
FID.x1172 15.0978842 0.0206053 732.720 <2e-16 ***
FID.x1175 16.7495550 0.0068958 2428.939 <2e-16 ***
FID.x1176 17.3986123 0.0061730 2818.486 <2e-16 ***
FID.x1179 17.4065634 0.0041031 4242.273 <2e-16 ***
FID.x118 14.5681764 0.0353034 412.657 <2e-16 ***
FID.x1180 16.8036938 0.0044395 3785.016 <2e-16 ***
FID.x1182 13.0382798 0.0375874 346.879 <2e-16 ***
FID.x1183 16.4610469 0.0062888 2617.516 <2e-16 ***
FID.x1185 12.4765042 0.1097844 113.646 <2e-16 ***
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FID.x1191 14.0583412 0.0331470 424.120 <2e-16 ***
FID.x1192 15.8463117 0.0112662 1406.534 <2e-16 ***
FID.x1193 15.2613998 0.0152344 1001.774 <2e-16 ***
FID.x1194 17.9701285 0.0040632 4422.618 <2e-16 ***
FID.x1195 16.6910379 0.0089162 1871.984 <2e-16 ***
FID.x1198 15.0851414 0.0123208 1224.367 <2e-16 ***
FID.x1199 16.9536123 0.0043771 3873.215 <2e-16 ***
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FID.x1200 16.6488477 0.0047370 3514.634 <2e-16 ***
FID.x1201 15.1963542 0.0094709 1604.530 <2e-16 ***
FID.x1202 15.5145189 0.0116004 1337.409 <2e-16 ***
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FID.x1204 12.1333693 0.2582074 46.991 <2e-16 ***
FID.x1206 15.4936632 0.0122010 1269.872 <2e-16 ***
FID.x1207 15.8034459 0.0112620 1403.252 <2e-16 ***
FID.x1208 15.2751290 0.0165060 925.430 <2e-16 ***
FID.x1209 12.9201048 0.1072338 120.485 <2e-16 ***
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FID.x1210 13.4133134 0.0487307 275.254 <2e-16 ***
FID.x1211 12.1911305 0.0814055 149.758 <2e-16 ***
FID.x1212 17.9579336 0.0039392 4558.727 <2e-16 ***
FID.x1213 16.4234469 0.0088972 1845.906 <2e-16 ***
FID.x1214 11.5228494 0.7071109 16.296 <2e-16 ***
FID.x1217 16.5069397 0.0062911 2623.844 <2e-16 ***
FID.x1218 17.3759445 0.0037176 4673.978 <2e-16 ***
FID.x1219 15.7375105 0.0063685 2471.159 <2e-16 ***
FID.x1220 15.5445171 0.0081628 1904.315 <2e-16 ***
FID.x1221 15.7520830 0.0111225 1416.241 <2e-16 ***
FID.x1224 15.9092365 0.0084745 1877.314 <2e-16 ***
FID.x1225 15.4055514 0.0120994 1273.254 <2e-16 ***
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FID.x1228 15.3284098 0.0187328 818.265 <2e-16 ***
FID.x1229 16.6566104 0.0073416 2268.800 <2e-16 ***
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FID.x1231 17.2178802 0.0054551 3156.265 <2e-16 ***
FID.x1232 18.2148710 0.0041673 4370.945 <2e-16 ***
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FID.x1237 15.2831315 0.0085135 1795.157 <2e-16 ***
FID.x1238 15.1563956 0.0087088 1740.347 <2e-16 ***
FID.x1239 16.2894534 0.0052211 3119.943 <2e-16 ***
FID.x1240 15.6510772 0.0099140 1578.686 <2e-16 ***
FID.x1241 15.2306241 0.0130225 1169.561 <2e-16 ***
FID.x1242 13.4034561 0.0461790 290.250 <2e-16 ***
FID.x1243 15.0280236 0.0121994 1231.869 <2e-16 ***
FID.x1244 16.6111120 0.0077281 2149.446 <2e-16 ***
FID.x1245 15.8895426 0.0123263 1289.080 <2e-16 ***
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FID.x1249 18.2029657 0.0034307 5305.955 <2e-16 ***
FID.x1250 17.8143563 0.0039642 4493.859 <2e-16 ***
FID.x1251 17.3421071 0.0063844 2716.345 <2e-16 ***
FID.x1252 14.8183692 0.0240363 616.498 <2e-16 ***
FID.x1255 15.8459886 0.0066567 2380.448 <2e-16 ***
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FID.x1257 15.5815396 0.0067961 2292.710 <2e-16 ***
FID.x1258 15.4412873 0.0083763 1843.440 <2e-16 ***
FID.x1259 15.1839669 0.0158074 960.559 <2e-16 ***
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FID.x1263 16.9661339 0.0052234 3248.073 <2e-16 ***
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FID.x1267 17.3187360 0.0065641 2638.414 <2e-16 ***
FID.x1268 17.5393494 0.0041827 4193.316 <2e-16 ***
FID.x1269 17.6681372 0.0045074 3919.782 <2e-16 ***
FID.x1271 17.3145431 0.0149597 1157.410 <2e-16 ***
FID.x1275 16.3885842 0.0046315 3538.496 <2e-16 ***
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FID.x1277 15.6031448 0.0064138 2432.736 <2e-16 ***
FID.x1278 16.5953078 0.0049851 3328.953 <2e-16 ***
FID.x1279 16.0441241 0.0064466 2488.783 <2e-16 ***
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FID.x1281 16.1716579 0.0071239 2270.072 <2e-16 ***
FID.x1282 16.2029221 0.0065647 2468.178 <2e-16 ***
FID.x1283 17.0576703 0.0050061 3407.354 <2e-16 ***
FID.x1284 16.5558058 0.0066600 2485.860 <2e-16 ***
FID.x1287 17.5181495 0.0050873 3443.508 <2e-16 ***
FID.x1288 18.4848778 0.0035369 5226.255 <2e-16 ***
FID.x1293 15.9859194 0.0059994 2664.608 <2e-16 ***
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FID.x1295 16.0404299 0.0049676 3229.027 <2e-16 ***
FID.x1296 14.6999575 0.0158662 926.498 <2e-16 ***
FID.x1297 16.4210909 0.0055539 2956.703 <2e-16 ***
FID.x1298 17.0209590 0.0043023 3956.225 <2e-16 ***
FID.x1299 14.0648895 0.0220038 639.202 <2e-16 ***
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FID.x1301 17.5222349 0.0036522 4797.776 <2e-16 ***
FID.x1302 18.1354918 0.0032822 5525.483 <2e-16 ***
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FID.x1305 17.2070922 0.0066646 2581.868 <2e-16 ***
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FID.x1307 17.5258759 0.0073578 2381.943 <2e-16 ***
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FID.x1314 15.2793274 0.0074827 2041.959 <2e-16 ***
FID.x1315 14.2083770 0.0180853 785.629 <2e-16 ***
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FID.x1318 17.2868219 0.0043179 4003.568 <2e-16 ***
FID.x1319 17.3948443 0.0039840 4366.173 <2e-16 ***
FID.x1320 17.0077133 0.0047786 3559.140 <2e-16 ***
FID.x1321 16.2843306 0.0063574 2561.460 <2e-16 ***
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FID.x1326 18.1157137 0.0047958 3777.414 <2e-16 ***
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FID.x1335 16.3183365 0.0062676 2603.588 <2e-16 ***
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FID.x1337 16.2640017 0.0063692 2553.524 <2e-16 ***
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FID.x1353 16.2200743 0.0047035 3448.487 <2e-16 ***
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FID.x1358 17.5017230 0.0038800 4510.755 <2e-16 ***
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FID.x1370 13.8824498 0.0210978 658.003 <2e-16 ***
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FID.x1372 15.7243781 0.0067510 2329.204 <2e-16 ***
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FID.x1377 17.7988938 0.0036467 4880.844 <2e-16 ***
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FID.x1382 15.8764062 0.0158732 1000.205 <2e-16 ***
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FID.x1393 17.0259945 0.0044247 3847.945 <2e-16 ***
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FID.x1395 15.4001074 0.0140651 1094.915 <2e-16 ***
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FID.x1407 13.8906910 0.0531837 261.183 <2e-16 ***
FID.x1408 13.2752945 0.0307827 431.258 <2e-16 ***
FID.x1409 14.5973185 0.0175871 830.003 <2e-16 ***
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FID.x1410 16.4125765 0.0047985 3420.341 <2e-16 ***
FID.x1411 17.3147834 0.0037337 4637.433 <2e-16 ***
FID.x1412 17.5273973 0.0046199 3793.898 <2e-16 ***
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FID.x1427 11.5274722 0.7071100 16.302 <2e-16 ***
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FID.x1439 13.5843751 0.0574903 236.290 <2e-16 ***
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FID.x1475 16.6515751 0.0075381 2209.001 <2e-16 ***
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FID.x1486 16.8706664 0.0044317 3806.801 <2e-16 ***
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FID.x1489 16.2557990 0.0083691 1942.354 <2e-16 ***
FID.x1490 16.5200334 0.0055700 2965.874 <2e-16 ***
FID.x1491 17.0822882 0.0047638 3585.825 <2e-16 ***
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FID.x1528 15.3143296 0.0118638 1290.845 <2e-16 ***
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FID.x1549 17.8443110 0.0035441 5034.945 <2e-16 ***
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FID.x1562 16.8435838 0.0052199 3226.778 <2e-16 ***
FID.x1563 16.7680171 0.0048057 3489.196 <2e-16 ***
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FID.x1567 17.5499996 0.0038170 4597.841 <2e-16 ***
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FID.x1581 15.7494727 0.0092462 1703.341 <2e-16 ***
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FID.x1583 15.7499378 0.0071969 2188.420 <2e-16 ***
FID.x1584 15.5778548 0.0104892 1485.135 <2e-16 ***
FID.x1586 17.6057235 0.0040111 4389.198 <2e-16 ***
FID.x1587 17.8225421 0.0035546 5013.938 <2e-16 ***
FID.x1588 17.2009899 0.0045015 3821.153 <2e-16 ***
FID.x1589 17.0677781 0.0052902 3226.325 <2e-16 ***
FID.x159 17.7808097 0.0061823 2876.090 <2e-16 ***
FID.x1590 14.9030131 0.0244216 610.240 <2e-16 ***
FID.x1600 16.5265373 0.0057569 2870.760 <2e-16 ***
FID.x1601 16.7120392 0.0083410 2003.611 <2e-16 ***
FID.x1602 15.4662439 0.0098915 1563.595 <2e-16 ***
FID.x1603 15.1033708 0.0232853 648.624 <2e-16 ***
FID.x1605 17.2548584 0.0044092 3913.355 <2e-16 ***
FID.x1606 16.7869563 0.0054747 3066.305 <2e-16 ***
FID.x1607 17.8187896 0.0036071 4939.913 <2e-16 ***
FID.x1608 17.8157238 0.0040294 4421.430 <2e-16 ***
FID.x1609 16.6024719 0.0107747 1540.875 <2e-16 ***
FID.x1619 17.1881080 0.0049353 3482.679 <2e-16 ***
FID.x1620 16.4195835 0.0063442 2588.109 <2e-16 ***
FID.x1621 16.5763791 0.0064320 2577.161 <2e-16 ***
FID.x1622 14.9127058 0.0133336 1118.428 <2e-16 ***
FID.x1623 15.3009919 0.0273019 560.438 <2e-16 ***
FID.x1624 14.0334140 0.0327578 428.399 <2e-16 ***
FID.x1625 17.6204448 0.0043226 4076.371 <2e-16 ***
FID.x1626 17.5409986 0.0040373 4344.735 <2e-16 ***
FID.x1627 17.6779665 0.0040295 4387.112 <2e-16 ***
FID.x1628 16.6596771 0.0075512 2206.221 <2e-16 ***
FID.x1629 15.1901973 0.0268661 565.403 <2e-16 ***
FID.x1638 16.3029377 0.0072407 2251.566 <2e-16 ***
FID.x1639 17.4117022 0.0037913 4592.566 <2e-16 ***
FID.x1640 17.3013447 0.0040345 4288.396 <2e-16 ***
FID.x1644 17.4692263 0.0049134 3555.441 <2e-16 ***
FID.x1645 17.3697183 0.0044413 3910.956 <2e-16 ***
FID.x1646 17.6732887 0.0038370 4606.060 <2e-16 ***
FID.x1647 14.4386759 0.0328153 439.999 <2e-16 ***
FID.x1657 17.0013046 0.0053291 3190.279 <2e-16 ***
FID.x1658 16.4905594 0.0059470 2772.942 <2e-16 ***
FID.x1659 16.9630653 0.0046561 3643.168 <2e-16 ***
FID.x1660 16.2732270 0.0073411 2216.724 <2e-16 ***
FID.x1662 13.9816285 0.0607834 230.024 <2e-16 ***
FID.x1664 16.7776258 0.0066060 2539.772 <2e-16 ***
FID.x1665 18.5797179 0.0030283 6135.395 <2e-16 ***
FID.x1666 14.0602686 0.0343573 409.237 <2e-16 ***
FID.x1667 17.3402404 0.0104169 1664.632 <2e-16 ***
FID.x1676 16.8820775 0.0050528 3341.136 <2e-16 ***
FID.x1677 17.1967827 0.0047325 3633.792 <2e-16 ***
FID.x1678 17.4577929 0.0042651 4093.196 <2e-16 ***
FID.x1681 15.2607601 0.0252584 604.185 <2e-16 ***
FID.x1683 17.6797542 0.0081968 2156.914 <2e-16 ***
FID.x1684 17.5684640 0.0045883 3829.010 <2e-16 ***
FID.x1695 17.1550071 0.0059859 2865.898 <2e-16 ***
FID.x1696 15.5241414 0.0123195 1260.128 <2e-16 ***
FID.x1697 17.3644776 0.0096594 1797.677 <2e-16 ***
FID.x1698 17.1056924 0.0048570 3521.894 <2e-16 ***
FID.x1701 13.9660551 0.0506169 275.917 <2e-16 ***
FID.x1703 17.4760350 0.0049679 3517.797 <2e-16 ***
FID.x1704 17.3645616 0.0085915 2021.136 <2e-16 ***
FID.x1714 17.1615000 0.0048054 3571.269 <2e-16 ***
FID.x1715 15.6091392 0.0097134 1606.976 <2e-16 ***
FID.x1716 16.4445146 0.0087036 1889.401 <2e-16 ***
FID.x1717 11.8105935 0.1324695 89.157 <2e-16 ***
FID.x1720 13.9747579 0.0588652 237.403 <2e-16 ***
FID.x1722 16.6687593 0.0086505 1926.914 <2e-16 ***
FID.x1734 15.8876050 0.0089903 1767.186 <2e-16 ***
FID.x1735 17.6270708 0.0056613 3113.622 <2e-16 ***
FID.x1736 17.0585556 0.0051807 3292.700 <2e-16 ***
FID.x1739 15.1206423 0.0282190 535.831 <2e-16 ***
FID.x1741 16.7108165 0.0091381 1828.689 <2e-16 ***
FID.x1752 16.6127553 0.0067572 2458.519 <2e-16 ***
FID.x1753 17.3780750 0.0045338 3833.037 <2e-16 ***
FID.x1754 17.9554783 0.0040805 4400.294 <2e-16 ***
FID.x1757 13.9468307 0.0469288 297.192 <2e-16 ***
FID.x176 13.2930855 0.0808689 164.378 <2e-16 ***
FID.x177 13.6876101 0.0419377 326.379 <2e-16 ***
FID.x1772 16.2615537 0.0084561 1923.055 <2e-16 ***
FID.x1773 18.1781224 0.0031527 5765.862 <2e-16 ***
FID.x1774 16.8386943 0.0067673 2488.230 <2e-16 ***
FID.x1775 17.7790315 0.0044334 4010.208 <2e-16 ***
FID.x1777 12.9723687 0.0880688 147.298 <2e-16 ***
FID.x178 13.0484875 0.1097823 118.858 <2e-16 ***
FID.x1790 16.5274733 0.0077445 2134.095 <2e-16 ***
FID.x1791 15.0204104 0.0135488 1108.614 <2e-16 ***
FID.x1792 17.4885293 0.0043857 3987.601 <2e-16 ***
FID.x1793 16.4053167 0.0106682 1537.782 <2e-16 ***
FID.x1794 17.8599775 0.0044180 4042.576 <2e-16 ***
FID.x1795 16.6401820 0.0073655 2259.191 <2e-16 ***
FID.x1796 17.1208170 0.0062522 2738.364 <2e-16 ***
FID.x1810 16.8304755 0.0058594 2872.402 <2e-16 ***
FID.x1811 17.5552910 0.0039371 4458.890 <2e-16 ***
FID.x1812 17.1219291 0.0051001 3357.167 <2e-16 ***
FID.x1813 17.9485023 0.0041978 4275.723 <2e-16 ***
FID.x1814 17.7975353 0.0042422 4195.394 <2e-16 ***
FID.x1815 16.3432333 0.0090943 1797.086 <2e-16 ***
FID.x1816 15.7616442 0.0157397 1001.391 <2e-16 ***
FID.x1829 17.4739243 0.0057489 3039.536 <2e-16 ***
FID.x1830 17.7731785 0.0038259 4645.527 <2e-16 ***
FID.x1831 17.1631879 0.0047839 3587.731 <2e-16 ***
FID.x1832 17.3791832 0.0046345 3749.992 <2e-16 ***
FID.x1833 15.9411485 0.0113960 1398.840 <2e-16 ***
FID.x1834 18.0000193 0.0041043 4385.690 <2e-16 ***
FID.x1848 16.6055600 0.0075148 2209.727 <2e-16 ***
FID.x1849 17.5079404 0.0043149 4057.539 <2e-16 ***
FID.x1850 13.2902517 0.0743598 178.729 <2e-16 ***
FID.x1851 17.4340328 0.0039928 4366.354 <2e-16 ***
FID.x1852 17.4167529 0.0050847 3425.350 <2e-16 ***
FID.x1853 17.5921835 0.0046449 3787.450 <2e-16 ***
FID.x1854 16.5502795 0.0135256 1223.626 <2e-16 ***
FID.x1867 17.4737054 0.0048597 3595.662 <2e-16 ***
FID.x1868 16.0568199 0.0082206 1953.232 <2e-16 ***
FID.x1869 15.9416671 0.0204904 778.006 <2e-16 ***
FID.x1870 18.5487203 0.0029863 6211.362 <2e-16 ***
FID.x1871 17.5163110 0.0066763 2623.654 <2e-16 ***
FID.x1872 17.3749738 0.0054626 3180.738 <2e-16 ***
FID.x1886 16.1722490 0.0092428 1749.719 <2e-16 ***
FID.x1887 17.6761082 0.0041259 4284.164 <2e-16 ***
FID.x1888 16.4447626 0.0071025 2315.358 <2e-16 ***
FID.x1889 17.1318966 0.0045890 3733.228 <2e-16 ***
FID.x1890 16.8166808 0.0064246 2617.535 <2e-16 ***
FID.x1891 18.0653503 0.0036170 4994.582 <2e-16 ***
FID.x1892 13.9218679 0.0669995 207.791 <2e-16 ***
FID.x1904 13.9265164 0.1010444 137.826 <2e-16 ***
FID.x1905 14.7358367 0.0186713 789.224 <2e-16 ***
FID.x1906 15.8003994 0.0091065 1735.065 <2e-16 ***
FID.x1907 17.0913720 0.0053758 3179.296 <2e-16 ***
FID.x1908 17.2651909 0.0045254 3815.202 <2e-16 ***
FID.x1909 16.8107533 0.0071334 2356.624 <2e-16 ***
FID.x1910 14.6625679 0.0373270 392.814 <2e-16 ***
FID.x1925 15.8316990 0.0128674 1230.371 <2e-16 ***
FID.x1926 15.0688723 0.0143778 1048.067 <2e-16 ***
FID.x1927 17.5503290 0.0039862 4402.753 <2e-16 ***
FID.x1928 17.8417415 0.0044580 4002.175 <2e-16 ***
FID.x1929 17.0215209 0.0059228 2873.885 <2e-16 ***
FID.x194 13.8884509 0.0825087 168.327 <2e-16 ***
FID.x1943 16.4894410 0.0109041 1512.220 <2e-16 ***
FID.x1944 15.0076650 0.0153467 977.910 <2e-16 ***
FID.x1945 17.4507270 0.0045353 3847.716 <2e-16 ***
FID.x1946 17.9362282 0.0035960 4987.799 <2e-16 ***
FID.x1947 18.0451682 0.0038709 4661.719 <2e-16 ***
FID.x1948 17.5250420 0.0055305 3168.794 <2e-16 ***
FID.x195 18.0285104 0.0053260 3385.020 <2e-16 ***
FID.x196 15.3557539 0.0204206 751.974 <2e-16 ***
FID.x1964 16.5439291 0.0069366 2385.011 <2e-16 ***
FID.x1965 16.7307403 0.0076464 2188.050 <2e-16 ***
FID.x1966 17.0431934 0.0051745 3293.706 <2e-16 ***
FID.x1967 17.4529405 0.0051600 3382.348 <2e-16 ***
FID.x1982 16.2055479 0.0099159 1634.306 <2e-16 ***
FID.x1983 15.8146394 0.0106634 1483.074 <2e-16 ***
FID.x1984 16.9190234 0.0059162 2859.777 <2e-16 ***
FID.x1985 17.2638429 0.0050611 3411.118 <2e-16 ***
FID.x1986 16.5605726 0.0198531 834.156 <2e-16 ***
FID.x20 14.8814938 0.0985565 150.995 <2e-16 ***
FID.x2001 14.2723067 0.0798383 178.765 <2e-16 ***
FID.x2002 13.5522382 0.0380413 356.250 <2e-16 ***
FID.x2003 15.1647591 0.0240987 629.276 <2e-16 ***
FID.x2004 16.9548741 0.0064946 2610.599 <2e-16 ***
FID.x2005 16.0449375 0.0105475 1521.203 <2e-16 ***
FID.x2020 14.0965028 0.0387147 364.112 <2e-16 ***
FID.x2021 16.0850821 0.0192985 833.491 <2e-16 ***
FID.x2022 15.8321979 0.0127702 1239.773 <2e-16 ***
FID.x2023 15.8141948 0.0125231 1262.798 <2e-16 ***
FID.x2024 13.6217689 0.0534139 255.023 <2e-16 ***
FID.x2041 13.9504438 0.0501675 278.077 <2e-16 ***
FID.x2042 15.4040158 0.0183085 841.357 <2e-16 ***
FID.x2043 14.9327967 0.0171789 869.253 <2e-16 ***
FID.x2044 14.7752578 0.0350662 421.353 <2e-16 ***
FID.x2060 15.0130711 0.0391894 383.091 <2e-16 ***
FID.x2061 16.5569483 0.0111022 1491.322 <2e-16 ***
FID.x2062 15.0361564 0.0188489 797.721 <2e-16 ***
FID.x2063 13.0044975 0.1005252 129.365 <2e-16 ***
FID.x2078 17.2918514 0.0087563 1974.782 <2e-16 ***
FID.x2081 13.4626470 0.0592730 227.130 <2e-16 ***
FID.x2082 15.1739214 0.0181616 835.493 <2e-16 ***
FID.x2097 15.6974224 0.0181243 866.096 <2e-16 ***
FID.x2098 16.7787631 0.0099731 1682.407 <2e-16 ***
FID.x2101 16.2550906 0.0119196 1363.732 <2e-16 ***
FID.x2114 17.4413834 0.0151436 1151.731 <2e-16 ***
FID.x2118 17.0916515 0.0089397 1911.886 <2e-16 ***
FID.x2120 15.8505499 0.0139337 1137.568 <2e-16 ***
FID.x2136 16.7977711 0.0104514 1607.230 <2e-16 ***
FID.x2139 13.3631737 0.0644507 207.339 <2e-16 ***
FID.x214 12.7373259 0.1561883 81.551 <2e-16 ***
FID.x215 13.9227652 0.0510766 272.586 <2e-16 ***
FID.x2152 17.2494815 0.0170660 1010.750 <2e-16 ***
FID.x2157 16.4549884 0.0143772 1144.521 <2e-16 ***
FID.x216 13.1675098 0.1581282 83.271 <2e-16 ***
FID.x2176 16.2222773 0.0142130 1141.368 <2e-16 ***
FID.x2177 14.7709010 0.0331286 445.866 <2e-16 ***
FID.x2195 16.6407607 0.0262633 633.612 <2e-16 ***
FID.x2196 17.1496251 0.0104419 1642.383 <2e-16 ***
FID.x2266 16.7270831 0.0362988 460.817 <2e-16 ***
FID.x232 13.8602727 0.0564710 245.441 <2e-16 ***
FID.x233 14.5731638 0.0271278 537.204 <2e-16 ***
FID.x234 14.4314547 0.0403157 357.961 <2e-16 ***
FID.x251 14.9874315 0.0383458 390.849 <2e-16 ***
FID.x252 13.8390298 0.0428452 323.001 <2e-16 ***
FID.x253 14.1375005 0.0451785 312.925 <2e-16 ***
FID.x269 11.6015569 0.3333394 34.804 <2e-16 ***
FID.x270 13.8358087 0.0496038 278.926 <2e-16 ***
FID.x271 16.8525875 0.0087312 1930.151 <2e-16 ***
FID.x289 13.6409433 0.0636598 214.279 <2e-16 ***
FID.x290 14.5484443 0.0710952 204.633 <2e-16 ***
FID.x291 15.0057724 0.0467260 321.144 <2e-16 ***
FID.x307 15.4835433 0.0272685 567.817 <2e-16 ***
FID.x308 13.7380440 0.0441959 310.844 <2e-16 ***
FID.x309 14.1761801 0.0411527 344.478 <2e-16 ***
FID.x328 14.9314697 0.0369667 403.917 <2e-16 ***
FID.x329 15.0914287 0.0264984 569.522 <2e-16 ***
FID.x346 14.7144507 0.0311836 471.865 <2e-16 ***
FID.x347 13.5809692 0.0520970 260.686 <2e-16 ***
FID.x348 14.6314773 0.0460216 317.926 <2e-16 ***
FID.x365 15.2834109 0.0339831 449.735 <2e-16 ***
FID.x366 14.1541538 0.0486070 291.196 <2e-16 ***
FID.x367 18.7795429 0.0031651 5933.262 <2e-16 ***
FID.x368 14.7983109 0.0453615 326.231 <2e-16 ***
FID.x369 15.6426097 0.0227529 687.500 <2e-16 ***
FID.x384 12.9801819 0.0880675 147.389 <2e-16 ***
FID.x385 14.7099744 0.0294842 498.911 <2e-16 ***
FID.x386 13.9175429 0.0354167 392.965 <2e-16 ***
FID.x387 13.6366020 0.0778800 175.098 <2e-16 ***
FID.x388 15.8176026 0.0226062 699.702 <2e-16 ***
FID.x39 12.7827017 0.1386790 92.175 <2e-16 ***
FID.x403 14.4767022 0.0587593 246.373 <2e-16 ***
FID.x404 14.0033618 0.0445031 314.661 <2e-16 ***
FID.x405 14.7039212 0.0278491 527.985 <2e-16 ***
FID.x406 17.5594002 0.0062865 2793.181 <2e-16 ***
FID.x407 15.5607348 0.0195502 795.938 <2e-16 ***
FID.x41 13.4495194 0.0873937 153.896 <2e-16 ***
FID.x423 14.9583240 0.0276247 541.483 <2e-16 ***
FID.x424 15.3799470 0.0175283 877.434 <2e-16 ***
FID.x425 17.9865512 0.0047668 3773.259 <2e-16 ***
FID.x426 16.4254001 0.0160106 1025.909 <2e-16 ***
FID.x441 14.4464270 0.0573927 251.712 <2e-16 ***
FID.x442 11.8280623 0.2500083 47.311 <2e-16 ***
FID.x443 16.2803038 0.0115111 1414.313 <2e-16 ***
FID.x444 16.8276490 0.0075093 2240.914 <2e-16 ***
FID.x446 12.3429617 0.1386910 88.996 <2e-16 ***
FID.x447 14.4158944 0.0588630 244.906 <2e-16 ***
FID.x460 14.7372398 0.0337518 436.635 <2e-16 ***
FID.x461 14.9560224 0.0246293 607.245 <2e-16 ***
FID.x462 15.9076309 0.0106915 1487.877 <2e-16 ***
FID.x463 18.4070044 0.0035831 5137.145 <2e-16 ***
FID.x464 15.2501814 0.0239900 635.688 <2e-16 ***
FID.x465 14.8303044 0.0367698 403.328 <2e-16 ***
FID.x466 12.7130086 0.1373766 92.541 <2e-16 ***
FID.x479 13.7696524 0.0808719 170.265 <2e-16 ***
FID.x480 15.1124564 0.0201798 748.889 <2e-16 ***
FID.x481 14.5934600 0.0229884 634.819 <2e-16 ***
FID.x482 18.1386662 0.0036132 5020.090 <2e-16 ***
FID.x483 18.5111396 0.0039406 4697.567 <2e-16 ***
FID.x485 15.1778357 0.0250486 605.935 <2e-16 ***
FID.x486 12.8637848 0.1373779 93.638 <2e-16 ***
FID.x487 12.6167885 0.2041366 61.806 <2e-16 ***
FID.x488 10.5510743 0.5773534 18.275 <2e-16 ***
FID.x498 13.8261393 0.0539523 256.266 <2e-16 ***
FID.x499 15.3561845 0.0364732 421.027 <2e-16 ***
FID.x500 14.7100560 0.0189565 775.989 <2e-16 ***
FID.x501 18.0568478 0.0038654 4671.437 <2e-16 ***
FID.x502 17.6857769 0.0068779 2571.379 <2e-16 ***
FID.x506 13.5043820 0.0932738 144.782 <2e-16 ***
FID.x507 15.3357113 0.0473528 323.861 <2e-16 ***
FID.x517 11.6996150 0.2236155 52.320 <2e-16 ***
FID.x518 14.0388764 0.0435230 322.562 <2e-16 ***
FID.x519 14.6298157 0.0360940 405.326 <2e-16 ***
FID.x520 19.0910054 0.0027240 7008.333 <2e-16 ***
FID.x521 17.6493771 0.0050154 3519.052 <2e-16 ***
FID.x523 12.8536868 0.1072314 119.869 <2e-16 ***
FID.x527 13.1521889 0.1066191 123.357 <2e-16 ***
FID.x528 12.3874905 0.1961264 63.161 <2e-16 ***
FID.x529 15.5355916 0.0550991 281.957 <2e-16 ***
FID.x536 14.3428883 0.0494933 289.794 <2e-16 ***
FID.x537 15.0549044 0.0258713 581.915 <2e-16 ***
FID.x538 14.4977656 0.0197823 732.865 <2e-16 ***
FID.x539 17.4740756 0.0044763 3903.714 <2e-16 ***
FID.x540 14.3346546 0.0588646 243.519 <2e-16 ***
FID.x546 13.3843521 0.1084859 123.374 <2e-16 ***
FID.x547 11.8225308 0.2672687 44.235 <2e-16 ***
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FID.x557 14.4738727 0.0290255 498.661 <2e-16 ***
FID.x558 15.0829229 0.0173893 867.366 <2e-16 ***
FID.x559 18.0120208 0.0040204 4480.166 <2e-16 ***
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FID.x576 13.8480212 0.0392169 353.114 <2e-16 ***
FID.x577 17.5973598 0.0043369 4057.573 <2e-16 ***
FID.x59 13.6895786 0.1250134 109.505 <2e-16 ***
FID.x594 15.5491770 0.0161687 961.685 <2e-16 ***
FID.x595 16.8614656 0.0064473 2615.277 <2e-16 ***
FID.x596 17.2238735 0.0055122 3124.662 <2e-16 ***
FID.x597 18.2162904 0.0035570 5121.229 <2e-16 ***
FID.x599 17.7725414 0.0072032 2467.295 <2e-16 ***
FID.x60 15.5928509 0.0248983 626.263 <2e-16 ***
FID.x61 12.6564705 0.1291145 98.025 <2e-16 ***
FID.x612 15.6139960 0.0224050 696.897 <2e-16 ***
FID.x613 13.4794441 0.0436103 309.089 <2e-16 ***
FID.x614 18.0307603 0.0038319 4705.482 <2e-16 ***
FID.x615 18.0457108 0.0038039 4744.053 <2e-16 ***
FID.x616 17.1768163 0.0084469 2033.513 <2e-16 ***
FID.x632 15.0554807 0.0220252 683.556 <2e-16 ***
FID.x633 17.0291292 0.0061841 2753.712 <2e-16 ***
FID.x634 17.1917239 0.0062422 2754.120 <2e-16 ***
FID.x635 18.0266459 0.0037446 4814.026 <2e-16 ***
FID.x637 14.7355552 0.0319340 461.438 <2e-16 ***
FID.x653 15.0441390 0.0178924 840.811 <2e-16 ***
FID.x656 13.9845160 0.0435718 320.954 <2e-16 ***
FID.x670 15.5924884 0.0163209 955.368 <2e-16 ***
FID.x672 15.4457328 0.0123347 1252.215 <2e-16 ***
FID.x673 17.4937106 0.0046428 3767.923 <2e-16 ***
FID.x688 15.0701223 0.0271245 555.590 <2e-16 ***
FID.x689 17.0960773 0.0070735 2416.920 <2e-16 ***
FID.x690 13.9171143 0.0276047 504.157 <2e-16 ***
FID.x691 17.9149193 0.0036965 4846.423 <2e-16 ***
FID.x692 16.9343014 0.0082128 2061.943 <2e-16 ***
FID.x694 18.4778976 0.0039179 4716.326 <2e-16 ***
FID.x699 13.5268471 0.0720110 187.844 <2e-16 ***
FID.x709 14.1694928 0.0234740 603.625 <2e-16 ***
FID.x710 17.1247415 0.0045344 3776.651 <2e-16 ***
FID.x711 16.6762645 0.0061134 2727.826 <2e-16 ***
FID.x712 17.3045346 0.0072718 2379.677 <2e-16 ***
FID.x713 17.7597622 0.0053848 3298.142 <2e-16 ***
FID.x714 16.2459270 0.0104344 1556.953 <2e-16 ***
FID.x726 13.7011708 0.0487801 280.876 <2e-16 ***
FID.x727 17.9459206 0.0043222 4152.055 <2e-16 ***
FID.x728 17.7903217 0.0037055 4801.116 <2e-16 ***
FID.x729 17.3355366 0.0044920 3859.222 <2e-16 ***
FID.x730 18.0608873 0.0044142 4091.534 <2e-16 ***
FID.x731 16.4396855 0.0109161 1505.997 <2e-16 ***
FID.x732 17.9984960 0.0037242 4832.887 <2e-16 ***
FID.x733 17.3931568 0.0056043 3103.562 <2e-16 ***
FID.x737 15.0094908 0.0275136 545.529 <2e-16 ***
FID.x745 14.3088966 0.0383451 373.161 <2e-16 ***
FID.x747 15.5602066 0.0100375 1550.211 <2e-16 ***
FID.x748 17.5970477 0.0040456 4349.639 <2e-16 ***
FID.x749 17.6173356 0.0039529 4456.848 <2e-16 ***
FID.x750 17.6611056 0.0046887 3766.755 <2e-16 ***
FID.x751 17.5998664 0.0052390 3359.375 <2e-16 ***
FID.x752 18.4885234 0.0032691 5655.455 <2e-16 ***
FID.x753 17.5787139 0.0061223 2871.248 <2e-16 ***
FID.x756 14.6889070 0.0292636 501.952 <2e-16 ***
FID.x763 13.0793083 0.0778774 167.947 <2e-16 ***
FID.x765 17.0862524 0.0053576 3189.180 <2e-16 ***
FID.x766 15.9907161 0.0089365 1789.365 <2e-16 ***
FID.x767 17.1207941 0.0049224 3478.158 <2e-16 ***
FID.x768 16.2301630 0.0078474 2068.218 <2e-16 ***
FID.x769 17.0848150 0.0055158 3097.423 <2e-16 ***
FID.x77 14.3738630 0.0735461 195.440 <2e-16 ***
FID.x770 17.4728233 0.0043287 4036.517 <2e-16 ***
FID.x771 17.0110339 0.0060745 2800.403 <2e-16 ***
FID.x772 18.9501641 0.0038325 4944.625 <2e-16 ***
FID.x773 15.0649434 0.0258548 582.676 <2e-16 ***
FID.x774 14.0714104 0.0434433 323.903 <2e-16 ***
FID.x775 15.7081389 0.0179618 874.528 <2e-16 ***
FID.x78 14.2869193 0.0811369 176.084 <2e-16 ***
FID.x783 14.6673992 0.0318004 461.233 <2e-16 ***
FID.x784 15.7914658 0.0118567 1331.865 <2e-16 ***
FID.x785 15.0650984 0.0176331 854.364 <2e-16 ***
FID.x786 17.6903328 0.0058786 3009.256 <2e-16 ***
FID.x787 18.1197546 0.0033076 5478.258 <2e-16 ***
FID.x788 17.6146583 0.0058939 2988.621 <2e-16 ***
FID.x789 15.7066865 0.0108585 1446.482 <2e-16 ***
FID.x79 16.1467553 0.0186102 867.631 <2e-16 ***
FID.x790 15.8412833 0.0100665 1573.658 <2e-16 ***
FID.x791 16.3146621 0.0080903 2016.569 <2e-16 ***
FID.x792 13.1167520 0.0720099 182.152 <2e-16 ***
FID.x793 14.3356739 0.0314814 455.370 <2e-16 ***
FID.x794 13.7819777 0.0400454 344.159 <2e-16 ***
FID.x80 14.4389879 0.0496080 291.062 <2e-16 ***
FID.x802 15.5318449 0.0133729 1161.446 <2e-16 ***
FID.x803 16.8448493 0.0069260 2432.114 <2e-16 ***
FID.x804 13.7934318 0.0338695 407.253 <2e-16 ***
FID.x805 17.6980066 0.0038991 4538.980 <2e-16 ***
FID.x806 16.3919468 0.0111675 1467.827 <2e-16 ***
FID.x808 17.5505828 0.0041299 4249.687 <2e-16 ***
FID.x809 15.6922559 0.0108899 1440.992 <2e-16 ***
FID.x81 13.2047454 0.1324678 99.683 <2e-16 ***
FID.x810 15.3669159 0.0151370 1015.189 <2e-16 ***
FID.x811 14.9022432 0.0253228 588.491 <2e-16 ***
FID.x812 13.1664338 0.0639166 205.994 <2e-16 ***
FID.x813 14.9045579 0.0290688 512.733 <2e-16 ***
FID.x821 16.6359732 0.0118886 1399.326 <2e-16 ***
FID.x822 16.8911855 0.0057164 2954.870 <2e-16 ***
FID.x823 14.8407130 0.0171633 864.679 <2e-16 ***
FID.x824 16.1509397 0.0086155 1874.629 <2e-16 ***
FID.x825 17.3575950 0.0044364 3912.568 <2e-16 ***
FID.x828 17.4263116 0.0044269 3936.456 <2e-16 ***
FID.x830 16.9936274 0.0072876 2331.840 <2e-16 ***
FID.x831 13.9716893 0.0361181 386.833 <2e-16 ***
FID.x832 16.4930762 0.0089220 1848.592 <2e-16 ***
FID.x839 15.9108427 0.0133341 1193.246 <2e-16 ***
FID.x840 17.3026159 0.0046400 3728.995 <2e-16 ***
FID.x841 18.0029612 0.0033195 5423.445 <2e-16 ***
FID.x842 14.9975248 0.0165581 905.753 <2e-16 ***
FID.x843 15.4249970 0.0173845 887.287 <2e-16 ***
FID.x844 17.1801173 0.0056177 3058.231 <2e-16 ***
FID.x845 14.7426157 0.0171395 860.152 <2e-16 ***
FID.x846 18.3010773 0.0033406 5478.309 <2e-16 ***
FID.x849 11.7022341 0.2132100 54.886 <2e-16 ***
FID.x850 18.3993083 0.0038699 4754.410 <2e-16 ***
FID.x851 13.6026361 0.0604438 225.046 <2e-16 ***
FID.x858 15.7205853 0.0125835 1249.297 <2e-16 ***
FID.x859 17.6419581 0.0049065 3595.606 <2e-16 ***
FID.x860 18.4762380 0.0030164 6125.260 <2e-16 ***
FID.x861 15.4132052 0.0208067 740.780 <2e-16 ***
FID.x862 16.2953347 0.0093244 1747.595 <2e-16 ***
FID.x863 14.7767514 0.0165413 893.326 <2e-16 ***
FID.x864 16.9760449 0.0056631 2997.673 <2e-16 ***
FID.x865 15.4014964 0.0113256 1359.884 <2e-16 ***
FID.x866 17.3683251 0.0055682 3119.189 <2e-16 ***
FID.x868 14.2202810 0.0483774 293.945 <2e-16 ***
FID.x870 14.1615677 0.0297628 475.814 <2e-16 ***
FID.x871 9.3939470 1.0000022 9.394 <2e-16 ***
FID.x877 16.2439143 0.0079020 2055.669 <2e-16 ***
FID.x878 17.4800935 0.0039439 4432.223 <2e-16 ***
FID.x879 17.2585650 0.0047871 3605.247 <2e-16 ***
FID.x881 16.5509471 0.0072803 2273.385 <2e-16 ***
FID.x882 16.1037443 0.0088007 1829.832 <2e-16 ***
FID.x883 14.7615512 0.0166710 885.461 <2e-16 ***
FID.x884 17.8338602 0.0038465 4636.352 <2e-16 ***
FID.x885 17.4531277 0.0068772 2537.830 <2e-16 ***
FID.x889 15.4108692 0.0142428 1082.013 <2e-16 ***
FID.x890 19.5182426 0.0037694 5178.139 <2e-16 ***
FID.x896 16.1242539 0.0087876 1834.882 <2e-16 ***
FID.x897 16.5880727 0.0068288 2429.147 <2e-16 ***
FID.x898 16.2078789 0.0073228 2213.331 <2e-16 ***
FID.x899 15.6535558 0.0107626 1454.443 <2e-16 ***
FID.x900 16.9595623 0.0055568 3052.055 <2e-16 ***
FID.x901 16.4674500 0.0074684 2204.954 <2e-16 ***
FID.x902 14.8856422 0.0290860 511.781 <2e-16 ***
FID.x903 17.9501400 0.0040184 4466.985 <2e-16 ***
FID.x904 17.8230516 0.0054006 3300.205 <2e-16 ***
FID.x906 15.3218002 0.0243564 629.068 <2e-16 ***
FID.x908 17.8926049 0.0043080 4153.368 <2e-16 ***
FID.x909 18.8968325 0.0032030 5899.799 <2e-16 ***
FID.x914 14.5345990 0.0301086 482.740 <2e-16 ***
FID.x915 14.3582894 0.0317865 451.710 <2e-16 ***
FID.x916 14.9955004 0.0158283 947.384 <2e-16 ***
FID.x917 15.6245200 0.0105737 1477.675 <2e-16 ***
FID.x918 14.9580722 0.0158021 946.589 <2e-16 ***
FID.x919 16.5590169 0.0070382 2352.726 <2e-16 ***
FID.x921 16.8807862 0.0097200 1736.701 <2e-16 ***
FID.x922 18.2798384 0.0046857 3901.205 <2e-16 ***
FID.x926 16.8143420 0.0092150 1824.673 <2e-16 ***
FID.x927 17.9369653 0.0044075 4069.646 <2e-16 ***
FID.x928 13.6210572 0.0482688 282.192 <2e-16 ***
FID.x934 15.6791705 0.0110847 1414.493 <2e-16 ***
FID.x935 16.4466526 0.0071535 2299.110 <2e-16 ***
FID.x936 17.0427745 0.0054245 3141.819 <2e-16 ***
FID.x937 15.1254946 0.0138156 1094.813 <2e-16 ***
FID.x938 16.2934867 0.0069747 2336.074 <2e-16 ***
FID.x944 15.3052343 0.0246618 620.604 <2e-16 ***
FID.x946 17.6256295 0.0045108 3907.409 <2e-16 ***
FID.x947 17.6469696 0.0049128 3592.059 <2e-16 ***
FID.x952 16.9486032 0.0057528 2946.136 <2e-16 ***
FID.x953 16.1894111 0.0077593 2086.441 <2e-16 ***
FID.x954 17.0468724 0.0052338 3257.044 <2e-16 ***
FID.x955 15.9328924 0.0091195 1747.128 <2e-16 ***
FID.x963 12.4002557 0.2500102 49.599 <2e-16 ***
FID.x965 17.5034437 0.0049975 3502.462 <2e-16 ***
FID.x966 18.3508671 0.0048576 3777.791 <2e-16 ***
FID.x971 16.4708031 0.0075566 2179.667 <2e-16 ***
FID.x972 15.9198668 0.0100228 1588.364 <2e-16 ***
FID.x973 15.7581290 0.0086146 1829.239 <2e-16 ***
FID.x974 15.7744475 0.0099053 1592.528 <2e-16 ***
FID.x976 17.2099858 0.0051548 3338.617 <2e-16 ***
FID.x98 13.9382024 0.0990373 140.737 <2e-16 ***
FID.x982 12.6850433 0.1414349 89.688 <2e-16 ***
FID.x984 17.4321322 0.0057804 3015.743 <2e-16 ***
FID.x985 15.9654323 0.0117796 1355.347 <2e-16 ***
FID.x989 14.4515302 0.0435344 331.956 <2e-16 ***
FID.x99 14.9202453 0.0716445 208.254 <2e-16 ***
FID.x990 14.2327469 0.0327678 434.352 <2e-16 ***
FID.x991 15.5041062 0.0202208 766.742 <2e-16 ***
FID.x992 17.6617670 0.0037703 4684.491 <2e-16 ***
FID.x993 14.8580483 0.0179565 827.448 <2e-16 ***
FID.x994 16.4963721 0.0068080 2423.084 <2e-16 ***
log(RETAIL_COUNT) 0.1329220 0.0001727 769.611 <2e-16 ***
log(BUSINESS_COUNT) 0.0156508 0.0002085 75.080 <2e-16 ***
log(HDB_COUNT) -0.0077141 0.0001790 -43.094 <2e-16 ***
log(TRAIN_COUNT) 0.5988257 0.0003246 1844.911 <2e-16 ***
log(BUS_STOP_COUNT) 0.1574978 0.0004849 324.806 <2e-16 ***
log(dist) -1.5180617 0.0002654 -5720.891 <2e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(Dispersion parameter for poisson family taken to be 1)
Null deviance: 338170409 on 65111 degrees of freedom
Residual deviance: 35988242 on 64291 degrees of freedom
AIC: 36348161
Number of Fisher Scoring iterations: 7Goodness of Fit
CalcRSquared(orcSIM$data$MORNING_PEAK, orcSIM$fitted.values)[1] 0.38656153. Destination Constrained
this model imposes constraints on the inflows to each destination. The total amount of interaction arriving at each destination is restricted to match a predefined total.
decSIM <- glm(formula = MORNING_PEAK ~
FID.y +
log(RETAIL_COUNT)+
log(BUSINESS_COUNT)+
log(HDB_COUNT)+
log(TRAIN_COUNT)+
log(BUS_STOP_COUNT)+
log(dist) - 1,
family = poisson(link = "log"),
data = inter_zonal_flow,
na.action = na.exclude)
summary(decSIM)
Call:
glm(formula = MORNING_PEAK ~ FID.y + log(RETAIL_COUNT) + log(BUSINESS_COUNT) +
log(HDB_COUNT) + log(TRAIN_COUNT) + log(BUS_STOP_COUNT) +
log(dist) - 1, family = poisson(link = "log"), data = inter_zonal_flow,
na.action = na.exclude)
Coefficients: (5 not defined because of singularities)
Estimate Std. Error z value Pr(>|z|)
FID.y100 17.0114382 0.0112578 1511.09 <2e-16 ***
FID.y1000 17.6777663 0.0086945 2033.22 <2e-16 ***
FID.y1001 14.0241202 0.0848440 165.29 <2e-16 ***
FID.y1002 17.9789556 0.0073384 2449.97 <2e-16 ***
FID.y1003 19.7306264 0.0024588 8024.49 <2e-16 ***
FID.y1004 16.2162171 0.0161923 1001.48 <2e-16 ***
FID.y1009 16.7208994 0.0086239 1938.89 <2e-16 ***
FID.y101 14.9695588 0.0300299 498.49 <2e-16 ***
FID.y1010 17.2216928 0.0069082 2492.95 <2e-16 ***
FID.y1011 15.6075470 0.0175693 888.34 <2e-16 ***
FID.y1012 16.1020191 0.0102367 1572.97 <2e-16 ***
FID.y1013 15.5285792 0.0165911 935.96 <2e-16 ***
FID.y1022 17.3190173 0.0077095 2246.45 <2e-16 ***
FID.y1023 17.8244051 0.0055486 3212.40 <2e-16 ***
FID.y1024 19.0035074 0.0044153 4304.00 <2e-16 ***
FID.y1027 18.0346363 0.0048361 3729.18 <2e-16 ***
FID.y1029 15.8453767 0.0165977 954.67 <2e-16 ***
FID.y1030 16.6379845 0.0069165 2405.54 <2e-16 ***
FID.y1032 16.6625820 0.0076642 2174.07 <2e-16 ***
FID.y1039 15.5377470 0.0291999 532.12 <2e-16 ***
FID.y1040 17.1244890 0.0131061 1306.61 <2e-16 ***
FID.y1041 17.2927902 0.0066114 2615.61 <2e-16 ***
FID.y1042 17.5357918 0.0064535 2717.24 <2e-16 ***
FID.y1047 16.0186457 0.0103361 1549.78 <2e-16 ***
FID.y1048 16.3200181 0.0086668 1883.05 <2e-16 ***
FID.y1049 17.8842321 0.0042005 4257.68 <2e-16 ***
FID.y1060 18.0067221 0.0057719 3119.70 <2e-16 ***
FID.y1061 19.2397735 0.0030502 6307.68 <2e-16 ***
FID.y1062 18.1612964 0.0049161 3694.24 <2e-16 ***
FID.y1063 14.8462791 0.0414199 358.43 <2e-16 ***
FID.y1065 18.2766625 0.0038056 4802.55 <2e-16 ***
FID.y1066 17.2785429 0.0052209 3309.47 <2e-16 ***
FID.y1067 17.3645210 0.0049390 3515.81 <2e-16 ***
FID.y1068 16.2390282 0.0088970 1825.22 <2e-16 ***
FID.y1070 17.8149493 0.0049175 3622.75 <2e-16 ***
FID.y1077 15.9992217 0.0286688 558.07 <2e-16 ***
FID.y1079 18.1537320 0.0052829 3436.32 <2e-16 ***
FID.y1080 17.7397531 0.0053346 3325.40 <2e-16 ***
FID.y1081 17.7444009 0.0059259 2994.36 <2e-16 ***
FID.y1085 16.9875885 0.0069685 2437.78 <2e-16 ***
FID.y1086 16.7387383 0.0072588 2305.98 <2e-16 ***
FID.y1088 16.6617854 0.0077475 2150.61 <2e-16 ***
FID.y1089 16.4591816 0.0087567 1879.62 <2e-16 ***
FID.y1096 11.3314735 0.2773562 40.85 <2e-16 ***
FID.y1099 16.8884822 0.0084265 2004.21 <2e-16 ***
FID.y1100 17.2804389 0.0108723 1589.41 <2e-16 ***
FID.y1101 17.3312591 0.0096990 1786.91 <2e-16 ***
FID.y1103 17.1001286 0.0060904 2807.72 <2e-16 ***
FID.y1104 17.7668110 0.0042898 4141.68 <2e-16 ***
FID.y1105 16.7973896 0.0122510 1371.11 <2e-16 ***
FID.y1106 16.1175898 0.0110555 1457.88 <2e-16 ***
FID.y1107 16.6206429 0.0078589 2114.88 <2e-16 ***
FID.y1114 14.5151213 0.0571970 253.77 <2e-16 ***
FID.y1115 16.7931781 0.0244164 687.78 <2e-16 ***
FID.y1118 17.7623633 0.0058785 3021.59 <2e-16 ***
FID.y1119 17.0880288 0.0081734 2090.69 <2e-16 ***
FID.y1122 16.0070801 0.0115325 1387.99 <2e-16 ***
FID.y1123 16.3711630 0.0088980 1839.88 <2e-16 ***
FID.y1124 17.3920721 0.0051895 3351.37 <2e-16 ***
FID.y1127 16.3349049 0.0084524 1932.57 <2e-16 ***
FID.y1137 16.9720157 0.0084778 2001.94 <2e-16 ***
FID.y1138 17.8354425 0.0061296 2909.70 <2e-16 ***
FID.y1139 18.1811929 0.0052599 3456.58 <2e-16 ***
FID.y1141 15.8873853 0.0125005 1270.94 <2e-16 ***
FID.y1142 18.0294028 0.0037296 4834.07 <2e-16 ***
FID.y1143 17.0903545 0.0073737 2317.76 <2e-16 ***
FID.y1144 16.8752822 0.0077466 2178.40 <2e-16 ***
FID.y1145 17.1372074 0.0067917 2523.27 <2e-16 ***
FID.y1146 15.6464293 0.0160134 977.09 <2e-16 ***
FID.y115 16.3060001 0.0220428 739.74 <2e-16 ***
FID.y1151 12.7013371 0.1104487 115.00 <2e-16 ***
FID.y1152 17.3168091 0.0071423 2424.54 <2e-16 ***
FID.y1156 18.0598108 0.0044943 4018.35 <2e-16 ***
FID.y1157 17.4293773 0.0061401 2838.61 <2e-16 ***
FID.y116 13.3080959 0.1125232 118.27 <2e-16 ***
FID.y1160 18.3815737 0.0037143 4948.91 <2e-16 ***
FID.y1161 18.0784103 0.0040190 4498.19 <2e-16 ***
FID.y1162 17.5878897 0.0046518 3780.89 <2e-16 ***
FID.y1163 16.5605568 0.0096498 1716.15 <2e-16 ***
FID.y1166 14.1925168 0.0371405 382.13 <2e-16 ***
FID.y117 15.9596222 0.0218198 731.43 <2e-16 ***
FID.y1170 13.1698302 0.0710927 185.25 <2e-16 ***
FID.y1171 17.0723777 0.0085576 1995.00 <2e-16 ***
FID.y1172 15.2745758 0.0221576 689.36 <2e-16 ***
FID.y1175 17.2366645 0.0069429 2482.65 <2e-16 ***
FID.y1176 17.0183221 0.0087837 1937.49 <2e-16 ***
FID.y1179 17.2846347 0.0059211 2919.14 <2e-16 ***
FID.y118 15.4116491 0.0243781 632.19 <2e-16 ***
FID.y1180 17.5620442 0.0044271 3966.94 <2e-16 ***
FID.y1182 15.9089646 0.0192108 828.13 <2e-16 ***
FID.y1183 17.2371276 0.0055647 3097.58 <2e-16 ***
FID.y1185 12.1850088 0.1889930 64.47 <2e-16 ***
FID.y119 16.6268110 0.0147834 1124.70 <2e-16 ***
FID.y1191 15.8380720 0.0156954 1009.09 <2e-16 ***
FID.y1192 15.9117247 0.0130766 1216.81 <2e-16 ***
FID.y1193 15.6980193 0.0157286 998.06 <2e-16 ***
FID.y1194 18.5301429 0.0036483 5079.15 <2e-16 ***
FID.y1195 16.1472627 0.0134185 1203.36 <2e-16 ***
FID.y1197 17.3447023 0.0155531 1115.19 <2e-16 ***
FID.y1198 15.6535606 0.0141718 1104.56 <2e-16 ***
FID.y1199 17.1545155 0.0056498 3036.30 <2e-16 ***
FID.y120 16.4028527 0.0123508 1328.08 <2e-16 ***
FID.y1200 17.3240743 0.0053507 3237.72 <2e-16 ***
FID.y1201 16.8570519 0.0064927 2596.32 <2e-16 ***
FID.y1202 16.7813331 0.0085861 1954.48 <2e-16 ***
FID.y1203 18.3323755 0.0053147 3449.36 <2e-16 ***
FID.y1204 12.0477411 0.2582067 46.66 <2e-16 ***
FID.y1206 15.6581485 0.0156241 1002.18 <2e-16 ***
FID.y1207 16.1649356 0.0127749 1265.37 <2e-16 ***
FID.y1208 17.9714674 0.0055998 3209.31 <2e-16 ***
FID.y1209 14.3634428 0.0558491 257.18 <2e-16 ***
FID.y121 16.5704159 0.0116823 1418.42 <2e-16 ***
FID.y1210 14.7835013 0.0293421 503.83 <2e-16 ***
FID.y1211 14.8705396 0.0264204 562.84 <2e-16 ***
FID.y1212 18.2580471 0.0039709 4598.01 <2e-16 ***
FID.y1213 16.8374573 0.0091264 1844.93 <2e-16 ***
FID.y1214 13.2275513 0.0962420 137.44 <2e-16 ***
FID.y1217 17.0567959 0.0072060 2367.03 <2e-16 ***
FID.y1218 18.1774786 0.0038406 4733.03 <2e-16 ***
FID.y1219 16.7966293 0.0066848 2512.66 <2e-16 ***
FID.y1220 17.5950603 0.0053907 3263.96 <2e-16 ***
FID.y1221 16.2770078 0.0125423 1297.77 <2e-16 ***
FID.y1224 17.1302274 0.0062089 2758.97 <2e-16 ***
FID.y1225 15.9323851 0.0117590 1354.91 <2e-16 ***
FID.y1226 16.1815604 0.0109502 1477.74 <2e-16 ***
FID.y1228 15.6708767 0.0186227 841.49 <2e-16 ***
FID.y1229 18.2851095 0.0040239 4544.14 <2e-16 ***
FID.y1230 17.1645770 0.0066468 2582.38 <2e-16 ***
FID.y1231 17.0181935 0.0074103 2296.55 <2e-16 ***
FID.y1232 17.0256694 0.0087398 1948.07 <2e-16 ***
FID.y1233 15.1966052 0.0290253 523.56 <2e-16 ***
FID.y1237 16.3137201 0.0089626 1820.21 <2e-16 ***
FID.y1238 16.2346442 0.0086345 1880.20 <2e-16 ***
FID.y1239 17.8070847 0.0039261 4535.59 <2e-16 ***
FID.y1240 16.8000439 0.0076992 2182.06 <2e-16 ***
FID.y1241 17.0150335 0.0070924 2399.04 <2e-16 ***
FID.y1242 14.2473864 0.0324909 438.50 <2e-16 ***
FID.y1243 15.3932796 0.0142477 1080.40 <2e-16 ***
FID.y1244 17.4347170 0.0072679 2398.88 <2e-16 ***
FID.y1245 16.0221690 0.0168608 950.26 <2e-16 ***
FID.y1248 14.1998386 0.0631509 224.86 <2e-16 ***
FID.y1249 18.9010852 0.0029864 6329.00 <2e-16 ***
FID.y1250 19.3317296 0.0026894 7188.13 <2e-16 ***
FID.y1251 18.5137941 0.0045424 4075.73 <2e-16 ***
FID.y1252 15.5787672 0.0194111 802.57 <2e-16 ***
FID.y1255 16.9252506 0.0064618 2619.28 <2e-16 ***
FID.y1256 16.5806189 0.0072848 2276.06 <2e-16 ***
FID.y1257 16.7923787 0.0069014 2433.19 <2e-16 ***
FID.y1258 17.6144449 0.0050654 3477.41 <2e-16 ***
FID.y1259 17.1633221 0.0123874 1385.55 <2e-16 ***
FID.y1260 16.4114740 0.0086125 1905.55 <2e-16 ***
FID.y1261 17.1051755 0.0054593 3133.19 <2e-16 ***
FID.y1262 16.6838319 0.0070219 2375.98 <2e-16 ***
FID.y1263 17.4558018 0.0053532 3260.82 <2e-16 ***
FID.y1264 16.6464639 0.0076540 2174.88 <2e-16 ***
FID.y1265 16.1432374 0.0138972 1161.62 <2e-16 ***
FID.y1267 16.5636374 0.0111118 1490.63 <2e-16 ***
FID.y1268 18.2928708 0.0035847 5103.05 <2e-16 ***
FID.y1269 17.6119973 0.0055114 3195.57 <2e-16 ***
FID.y1271 16.7239958 0.0218195 766.47 <2e-16 ***
FID.y1275 17.8181668 0.0041170 4327.97 <2e-16 ***
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FID.y1277 17.5940093 0.0043694 4026.60 <2e-16 ***
FID.y1278 17.2484737 0.0055597 3102.42 <2e-16 ***
FID.y1279 16.9334947 0.0059761 2833.55 <2e-16 ***
FID.y1280 17.3312036 0.0055228 3138.11 <2e-16 ***
FID.y1281 16.9041510 0.0068128 2481.24 <2e-16 ***
FID.y1282 17.1610223 0.0057547 2982.07 <2e-16 ***
FID.y1283 17.2885967 0.0057185 3023.26 <2e-16 ***
FID.y1284 16.6953775 0.0077958 2141.59 <2e-16 ***
FID.y1287 17.3716736 0.0062193 2793.20 <2e-16 ***
FID.y1288 17.9888770 0.0051935 3463.70 <2e-16 ***
FID.y1293 17.5614110 0.0051377 3418.17 <2e-16 ***
FID.y1294 17.9410184 0.0039066 4592.48 <2e-16 ***
FID.y1295 17.5392703 0.0043768 4007.37 <2e-16 ***
FID.y1296 16.9793464 0.0092615 1833.33 <2e-16 ***
FID.y1297 17.8754337 0.0042748 4181.55 <2e-16 ***
FID.y1298 17.4792266 0.0048859 3577.49 <2e-16 ***
FID.y1299 16.1442336 0.0103323 1562.50 <2e-16 ***
FID.y1300 16.9641711 0.0064141 2644.82 <2e-16 ***
FID.y1301 17.5459163 0.0044314 3959.47 <2e-16 ***
FID.y1302 18.2198500 0.0037117 4908.81 <2e-16 ***
FID.y1303 17.5936712 0.0061838 2845.13 <2e-16 ***
FID.y1305 15.7758818 0.0164997 956.13 <2e-16 ***
FID.y1306 17.6247245 0.0058704 3002.30 <2e-16 ***
FID.y1307 18.6122823 0.0059001 3154.57 <2e-16 ***
FID.y1313 18.2018396 0.0035826 5080.56 <2e-16 ***
FID.y1314 17.3900978 0.0051608 3369.63 <2e-16 ***
FID.y1315 16.2543485 0.0111732 1454.76 <2e-16 ***
FID.y1316 17.1577246 0.0070577 2431.08 <2e-16 ***
FID.y1317 17.2819473 0.0058114 2973.81 <2e-16 ***
FID.y1318 18.0955688 0.0045351 3990.08 <2e-16 ***
FID.y1319 18.8221719 0.0028962 6498.98 <2e-16 ***
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FID.y1321 17.6588000 0.0045176 3908.92 <2e-16 ***
FID.y1322 17.3424842 0.0065850 2633.64 <2e-16 ***
FID.y1325 17.1367078 0.0070800 2420.45 <2e-16 ***
FID.y1326 16.9428674 0.0104551 1620.54 <2e-16 ***
FID.y1331 17.0237248 0.0072073 2362.00 <2e-16 ***
FID.y1332 18.0511786 0.0039738 4542.59 <2e-16 ***
FID.y1333 17.8354754 0.0037410 4767.52 <2e-16 ***
FID.y1334 17.6773562 0.0043485 4065.12 <2e-16 ***
FID.y1335 16.8247610 0.0071357 2357.82 <2e-16 ***
FID.y1336 18.7346613 0.0028070 6674.35 <2e-16 ***
FID.y1337 17.3100713 0.0052389 3304.12 <2e-16 ***
FID.y1338 16.4556083 0.0074792 2200.20 <2e-16 ***
FID.y1339 18.7455009 0.0028935 6478.48 <2e-16 ***
FID.y1340 17.6419343 0.0059473 2966.38 <2e-16 ***
FID.y1341 18.1555041 0.0049398 3675.37 <2e-16 ***
FID.y1344 16.3218875 0.0124247 1313.67 <2e-16 ***
FID.y135 16.1431663 0.0250463 644.53 <2e-16 ***
FID.y1351 17.7845266 0.0045215 3933.35 <2e-16 ***
FID.y1352 16.8344654 0.0060335 2790.18 <2e-16 ***
FID.y1353 17.8824535 0.0037772 4734.29 <2e-16 ***
FID.y1354 16.6987332 0.0072992 2287.76 <2e-16 ***
FID.y1355 17.0608180 0.0061916 2755.49 <2e-16 ***
FID.y1356 17.5212391 0.0045537 3847.71 <2e-16 ***
FID.y1357 17.0253869 0.0083964 2027.71 <2e-16 ***
FID.y1358 17.8291183 0.0041355 4311.26 <2e-16 ***
FID.y1359 17.8873016 0.0044626 4008.24 <2e-16 ***
FID.y136 16.0301375 0.0211829 756.75 <2e-16 ***
FID.y1363 13.8722784 0.0628966 220.56 <2e-16 ***
FID.y137 17.3680736 0.0134284 1293.38 <2e-16 ***
FID.y1370 16.5722843 0.0137324 1206.81 <2e-16 ***
FID.y1371 17.9990385 0.0037577 4789.90 <2e-16 ***
FID.y1372 17.1942254 0.0064903 2649.23 <2e-16 ***
FID.y1373 16.5529394 0.0078439 2110.29 <2e-16 ***
FID.y1374 17.3886353 0.0078634 2211.34 <2e-16 ***
FID.y1375 17.2581208 0.0053200 3244.01 <2e-16 ***
FID.y1376 16.7053359 0.0074672 2237.18 <2e-16 ***
FID.y1377 17.5308969 0.0049422 3547.21 <2e-16 ***
FID.y1378 18.9346463 0.0044359 4268.49 <2e-16 ***
FID.y1379 16.4049550 0.0115285 1423.00 <2e-16 ***
FID.y138 16.7515990 0.0126065 1328.80 <2e-16 ***
FID.y1382 15.0476730 0.0285334 527.37 <2e-16 ***
FID.y1388 14.8965471 0.0503477 295.87 <2e-16 ***
FID.y1389 15.3469894 0.0216461 708.99 <2e-16 ***
FID.y139 15.0214595 0.0265719 565.31 <2e-16 ***
FID.y1390 17.2686011 0.0059414 2906.49 <2e-16 ***
FID.y1391 17.2082020 0.0052253 3293.23 <2e-16 ***
FID.y1392 17.3760459 0.0046684 3722.09 <2e-16 ***
FID.y1393 16.8883726 0.0061367 2752.04 <2e-16 ***
FID.y1394 18.2534944 0.0064497 2830.12 <2e-16 ***
FID.y1395 16.6205984 0.0095295 1744.12 <2e-16 ***
FID.y1396 16.3651783 0.0255218 641.22 <2e-16 ***
FID.y1397 16.8598456 0.0089312 1887.76 <2e-16 ***
FID.y140 15.7601021 0.0171549 918.69 <2e-16 ***
FID.y1400 16.1725474 0.0147676 1095.14 <2e-16 ***
FID.y1407 14.1843532 0.0589522 240.61 <2e-16 ***
FID.y1408 15.9224592 0.0157548 1010.64 <2e-16 ***
FID.y1409 17.4689433 0.0123849 1410.50 <2e-16 ***
FID.y141 16.3373902 0.0184734 884.37 <2e-16 ***
FID.y1410 17.7673439 0.0040695 4365.97 <2e-16 ***
FID.y1411 17.9075081 0.0039449 4539.35 <2e-16 ***
FID.y1412 17.3265831 0.0064405 2690.25 <2e-16 ***
FID.y1413 15.0569726 0.0166561 903.99 <2e-16 ***
FID.y1414 16.1744335 0.0091132 1774.83 <2e-16 ***
FID.y1415 16.6078082 0.0081554 2036.42 <2e-16 ***
FID.y1416 17.4360157 0.0062258 2800.61 <2e-16 ***
FID.y1417 15.7056530 0.0162802 964.71 <2e-16 ***
FID.y1418 15.8514121 0.0172751 917.59 <2e-16 ***
FID.y1419 16.4921592 0.0120365 1370.17 <2e-16 ***
FID.y1427 13.6708353 0.0990313 138.05 <2e-16 ***
FID.y1429 15.0081359 0.0235517 637.24 <2e-16 ***
FID.y1430 17.6120712 0.0047791 3685.20 <2e-16 ***
FID.y1431 17.7514535 0.0040850 4345.57 <2e-16 ***
FID.y1432 16.4934075 0.0198690 830.11 <2e-16 ***
FID.y1433 16.0977692 0.0119992 1341.57 <2e-16 ***
FID.y1434 16.9332374 0.0075048 2256.31 <2e-16 ***
FID.y1435 17.5608107 0.0051661 3399.26 <2e-16 ***
FID.y1438 16.1212543 0.0127907 1260.39 <2e-16 ***
FID.y1439 16.6373100 0.0130868 1271.31 <2e-16 ***
FID.y1447 16.5396578 0.0140393 1178.10 <2e-16 ***
FID.y1448 16.5076607 0.0071490 2309.08 <2e-16 ***
FID.y1449 17.1021670 0.0065701 2603.02 <2e-16 ***
FID.y1450 18.1641301 0.0040865 4444.92 <2e-16 ***
FID.y1451 16.0161915 0.0102187 1567.34 <2e-16 ***
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FID.y1455 17.1592714 0.0062203 2758.59 <2e-16 ***
FID.y1456 17.7823505 0.0051261 3468.98 <2e-16 ***
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FID.y1468 17.5390822 0.0043985 3987.48 <2e-16 ***
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FID.y1470 17.4157605 0.0056510 3081.89 <2e-16 ***
FID.y1471 19.0790548 0.0026627 7165.43 <2e-16 ***
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FID.y1473 18.2983365 0.0036577 5002.73 <2e-16 ***
FID.y1474 15.6370801 0.0139892 1117.80 <2e-16 ***
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FID.y1476 15.4377209 0.0186885 826.06 <2e-16 ***
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FID.y1486 17.0623017 0.0058557 2913.80 <2e-16 ***
FID.y1487 17.0193073 0.0079619 2137.60 <2e-16 ***
FID.y1488 17.0060009 0.0062623 2715.62 <2e-16 ***
FID.y1489 17.2801100 0.0076690 2253.25 <2e-16 ***
FID.y1490 16.9462255 0.0060813 2786.60 <2e-16 ***
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FID.y1492 17.8090452 0.0042880 4153.27 <2e-16 ***
FID.y1493 17.0094300 0.0073370 2318.32 <2e-16 ***
FID.y1505 12.7599606 0.1162611 109.75 <2e-16 ***
FID.y1506 17.7030945 0.0041788 4236.38 <2e-16 ***
FID.y1507 17.7556414 0.0041625 4265.63 <2e-16 ***
FID.y1508 16.5138019 0.0157296 1049.85 <2e-16 ***
FID.y1509 16.8731132 0.0067453 2501.47 <2e-16 ***
FID.y1511 17.6203032 0.0046271 3808.05 <2e-16 ***
FID.y1512 17.5421037 0.0103710 1691.45 <2e-16 ***
FID.y1513 16.6092659 0.0115258 1441.05 <2e-16 ***
FID.y1523 17.2099287 0.0093232 1845.92 <2e-16 ***
FID.y1524 16.3534414 0.0086465 1891.33 <2e-16 ***
FID.y1525 17.1043398 0.0057491 2975.13 <2e-16 ***
FID.y1526 17.2756095 0.0067273 2567.98 <2e-16 ***
FID.y1527 16.8275496 0.0067182 2504.77 <2e-16 ***
FID.y1528 16.3530313 0.0096217 1699.60 <2e-16 ***
FID.y1529 15.9533397 0.0125028 1275.98 <2e-16 ***
FID.y1530 17.9067782 0.0044843 3993.24 <2e-16 ***
FID.y1531 16.0169248 0.0134613 1189.85 <2e-16 ***
FID.y1543 16.9029279 0.0076030 2223.18 <2e-16 ***
FID.y1544 16.2836888 0.0080477 2023.39 <2e-16 ***
FID.y1545 16.8655330 0.0062275 2708.23 <2e-16 ***
FID.y1546 17.5870752 0.0047353 3714.05 <2e-16 ***
FID.y1547 17.5476618 0.0051402 3413.79 <2e-16 ***
FID.y1548 18.4950276 0.0035892 5153.01 <2e-16 ***
FID.y1549 17.7129502 0.0043995 4026.11 <2e-16 ***
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FID.y1550 15.5504195 0.0151093 1029.19 <2e-16 ***
FID.y1551 16.9884253 0.0080561 2108.77 <2e-16 ***
FID.y1562 17.4663150 0.0054303 3216.47 <2e-16 ***
FID.y1563 17.5456921 0.0045971 3816.67 <2e-16 ***
FID.y1564 17.6171301 0.0043450 4054.58 <2e-16 ***
FID.y1565 16.7231898 0.0086666 1929.62 <2e-16 ***
FID.y1566 17.5794661 0.0052079 3375.56 <2e-16 ***
FID.y1567 17.5136321 0.0046806 3741.78 <2e-16 ***
FID.y1568 16.5490192 0.0080019 2068.13 <2e-16 ***
FID.y1569 17.7960660 0.0048104 3699.50 <2e-16 ***
FID.y157 16.5214582 0.0143600 1150.52 <2e-16 ***
FID.y1570 17.1144352 0.0137305 1246.45 <2e-16 ***
FID.y158 16.5590918 0.0103705 1596.75 <2e-16 ***
FID.y1581 16.5756918 0.0087477 1894.87 <2e-16 ***
FID.y1582 17.7235293 0.0041064 4316.06 <2e-16 ***
FID.y1583 17.6674451 0.0043676 4045.12 <2e-16 ***
FID.y1584 17.0903570 0.0061918 2760.14 <2e-16 ***
FID.y1586 17.7149515 0.0045730 3873.78 <2e-16 ***
FID.y1587 18.9230600 0.0028400 6662.95 <2e-16 ***
FID.y1588 18.3248596 0.0036190 5063.58 <2e-16 ***
FID.y1589 17.5758119 0.0053559 3281.57 <2e-16 ***
FID.y159 14.9165214 0.0268271 556.02 <2e-16 ***
FID.y1590 15.9662150 0.0217122 735.36 <2e-16 ***
FID.y1600 17.0010961 0.0064154 2650.05 <2e-16 ***
FID.y1601 16.7744735 0.0067467 2486.33 <2e-16 ***
FID.y1602 17.7751017 0.0049482 3592.27 <2e-16 ***
FID.y1603 18.0967562 0.0067875 2666.20 <2e-16 ***
FID.y1605 17.0264690 0.0068421 2488.50 <2e-16 ***
FID.y1606 16.6743152 0.0078918 2112.87 <2e-16 ***
FID.y1607 18.9599540 0.0029034 6530.30 <2e-16 ***
FID.y1608 17.1676761 0.0068443 2508.31 <2e-16 ***
FID.y1609 16.2478317 0.0206693 786.08 <2e-16 ***
FID.y1619 17.7471584 0.0050143 3539.30 <2e-16 ***
FID.y1620 17.2401672 0.0058250 2959.71 <2e-16 ***
FID.y1621 17.3830649 0.0069486 2501.65 <2e-16 ***
FID.y1622 17.2785117 0.0056844 3039.61 <2e-16 ***
FID.y1623 18.4171138 0.0072200 2550.86 <2e-16 ***
FID.y1624 15.3206087 0.0214263 715.04 <2e-16 ***
FID.y1625 17.6560378 0.0054009 3269.08 <2e-16 ***
FID.y1626 17.3369447 0.0054929 3156.26 <2e-16 ***
FID.y1627 17.7253804 0.0051937 3412.88 <2e-16 ***
FID.y1628 16.7267764 0.0089730 1864.12 <2e-16 ***
FID.y1629 15.0992153 0.0501572 301.04 <2e-16 ***
FID.y1638 16.8347027 0.0074528 2258.83 <2e-16 ***
FID.y1639 18.1339507 0.0035158 5157.88 <2e-16 ***
FID.y1640 18.2772238 0.0034354 5320.30 <2e-16 ***
FID.y1644 16.3280582 0.0111889 1459.31 <2e-16 ***
FID.y1645 17.2317741 0.0060321 2856.66 <2e-16 ***
FID.y1646 18.9581560 0.0029439 6439.76 <2e-16 ***
FID.y1647 14.3317059 0.0410321 349.28 <2e-16 ***
FID.y1657 18.0970876 0.0042557 4252.40 <2e-16 ***
FID.y1658 16.7839786 0.0068920 2435.30 <2e-16 ***
FID.y1659 16.7423051 0.0067284 2488.31 <2e-16 ***
FID.y1660 16.8689148 0.0074436 2266.24 <2e-16 ***
FID.y1662 16.9934629 0.0137107 1239.43 <2e-16 ***
FID.y1664 16.3264972 0.0114504 1425.85 <2e-16 ***
FID.y1665 18.8080979 0.0032734 5745.76 <2e-16 ***
FID.y1666 15.6613435 0.0221842 705.97 <2e-16 ***
FID.y1667 16.8889221 0.0143417 1177.61 <2e-16 ***
FID.y1676 17.0801841 0.0058655 2911.99 <2e-16 ***
FID.y1677 17.4003683 0.0050621 3437.36 <2e-16 ***
FID.y1678 17.8400367 0.0046017 3876.86 <2e-16 ***
FID.y1681 17.4679237 0.0084725 2061.73 <2e-16 ***
FID.y1683 17.1059028 0.0178389 958.91 <2e-16 ***
FID.y1684 17.4815586 0.0062517 2796.28 <2e-16 ***
FID.y1695 16.7847635 0.0092751 1809.66 <2e-16 ***
FID.y1696 15.2610037 0.0196398 777.04 <2e-16 ***
FID.y1697 16.2837839 0.0215682 754.99 <2e-16 ***
FID.y1698 17.6109373 0.0049487 3558.71 <2e-16 ***
FID.y1701 16.4242131 0.0139350 1178.63 <2e-16 ***
FID.y1703 17.4961254 0.0062789 2786.50 <2e-16 ***
FID.y1704 16.5031044 0.0190605 865.83 <2e-16 ***
FID.y1714 17.3179192 0.0055352 3128.67 <2e-16 ***
FID.y1715 16.6626248 0.0077894 2139.15 <2e-16 ***
FID.y1716 16.2349427 0.0116209 1397.05 <2e-16 ***
FID.y1717 15.6399278 0.0237751 657.83 <2e-16 ***
FID.y1720 16.5726075 0.0209172 792.29 <2e-16 ***
FID.y1722 16.0355451 0.0169038 948.63 <2e-16 ***
FID.y1734 16.4334659 0.0087365 1881.01 <2e-16 ***
FID.y1735 18.0736719 0.0061625 2932.86 <2e-16 ***
FID.y1736 17.9404460 0.0046453 3862.09 <2e-16 ***
FID.y1739 17.0648881 0.0101648 1678.83 <2e-16 ***
FID.y1741 16.0630282 0.0186138 862.96 <2e-16 ***
FID.y1752 16.8364376 0.0076243 2208.26 <2e-16 ***
FID.y1753 17.8805891 0.0045271 3949.71 <2e-16 ***
FID.y1754 17.0032122 0.0080527 2111.48 <2e-16 ***
FID.y1757 15.7054259 0.0199196 788.44 <2e-16 ***
FID.y176 15.2932042 0.0297742 513.64 <2e-16 ***
FID.y177 16.7913928 0.0100771 1666.30 <2e-16 ***
FID.y1772 16.5959057 0.0091755 1808.73 <2e-16 ***
FID.y1773 19.0342322 0.0027048 7037.19 <2e-16 ***
FID.y1774 16.5668657 0.0099885 1658.60 <2e-16 ***
FID.y1775 17.4181665 0.0061878 2814.93 <2e-16 ***
FID.y1777 17.9833071 0.0111525 1612.49 <2e-16 ***
FID.y178 13.8574278 0.0864065 160.38 <2e-16 ***
FID.y1790 16.8155057 0.0084912 1980.34 <2e-16 ***
FID.y1791 17.0167459 0.0066324 2565.69 <2e-16 ***
FID.y1792 17.0417534 0.0072594 2347.54 <2e-16 ***
FID.y1793 17.6445731 0.0071044 2483.62 <2e-16 ***
FID.y1794 17.4318986 0.0061590 2830.31 <2e-16 ***
FID.y1795 17.2279209 0.0062839 2741.58 <2e-16 ***
FID.y1796 17.6861133 0.0057250 3089.28 <2e-16 ***
FID.y1810 16.9873855 0.0066147 2568.12 <2e-16 ***
FID.y1811 17.3488074 0.0050299 3449.14 <2e-16 ***
FID.y1812 17.9927398 0.0044027 4086.74 <2e-16 ***
FID.y1813 18.3185437 0.0042244 4336.41 <2e-16 ***
FID.y1814 17.1380417 0.0063186 2712.30 <2e-16 ***
FID.y1815 18.2212808 0.0045559 3999.50 <2e-16 ***
FID.y1816 15.1225037 0.0280384 539.35 <2e-16 ***
FID.y1829 17.6635653 0.0063518 2780.87 <2e-16 ***
FID.y1830 17.7413921 0.0047687 3720.41 <2e-16 ***
FID.y1831 18.0966887 0.0040169 4505.15 <2e-16 ***
FID.y1832 17.0632072 0.0064882 2629.89 <2e-16 ***
FID.y1833 16.3592205 0.0112259 1457.28 <2e-16 ***
FID.y1834 18.0256571 0.0044667 4035.61 <2e-16 ***
FID.y1848 16.2127373 0.0108386 1495.83 <2e-16 ***
FID.y1849 17.0152598 0.0062049 2742.23 <2e-16 ***
FID.y1850 16.7250777 0.0119294 1402.01 <2e-16 ***
FID.y1851 18.1788279 0.0036832 4935.56 <2e-16 ***
FID.y1852 16.4820783 0.0089987 1831.61 <2e-16 ***
FID.y1853 16.6351848 0.0083055 2002.92 <2e-16 ***
FID.y1854 14.9163682 0.0272421 547.55 <2e-16 ***
FID.y1867 16.9201954 0.0072349 2338.70 <2e-16 ***
FID.y1868 16.7025765 0.0076867 2172.91 <2e-16 ***
FID.y1869 15.2143141 0.0312226 487.29 <2e-16 ***
FID.y1870 19.4433320 0.0024736 7860.47 <2e-16 ***
FID.y1871 16.6659764 0.0124335 1340.41 <2e-16 ***
FID.y1872 16.8313335 0.0081059 2076.44 <2e-16 ***
FID.y1886 16.9033615 0.0078516 2152.86 <2e-16 ***
FID.y1887 18.2255275 0.0037779 4824.23 <2e-16 ***
FID.y1888 18.0460747 0.0040628 4441.82 <2e-16 ***
FID.y1889 17.2157536 0.0057021 3019.22 <2e-16 ***
FID.y1890 16.8912466 0.0089825 1880.46 <2e-16 ***
FID.y1891 19.0963328 0.0027738 6884.64 <2e-16 ***
FID.y1892 14.6153090 0.0616883 236.92 <2e-16 ***
FID.y1904 16.2074392 0.0754110 214.92 <2e-16 ***
FID.y1905 15.5240740 0.0151227 1026.54 <2e-16 ***
FID.y1906 18.1471024 0.0038325 4735.05 <2e-16 ***
FID.y1907 17.9583485 0.0046367 3873.12 <2e-16 ***
FID.y1908 17.0194995 0.0064318 2646.14 <2e-16 ***
FID.y1909 16.3707534 0.0118381 1382.89 <2e-16 ***
FID.y1910 15.4105973 0.0328205 469.54 <2e-16 ***
FID.y1925 16.9636357 0.0091420 1855.58 <2e-16 ***
FID.y1926 16.5289447 0.0098047 1685.82 <2e-16 ***
FID.y1927 17.2644391 0.0054232 3183.41 <2e-16 ***
FID.y1928 17.2694963 0.0072237 2390.69 <2e-16 ***
FID.y1929 17.0033762 0.0073158 2324.19 <2e-16 ***
FID.y194 16.3176777 0.0274691 594.04 <2e-16 ***
FID.y1943 16.3282816 0.0141075 1157.42 <2e-16 ***
FID.y1944 16.3325363 0.0107596 1517.95 <2e-16 ***
FID.y1945 16.7437608 0.0079120 2116.24 <2e-16 ***
FID.y1946 18.5247745 0.0032175 5757.54 <2e-16 ***
FID.y1947 17.6588689 0.0052049 3392.76 <2e-16 ***
FID.y1948 16.3855401 0.0111482 1469.79 <2e-16 ***
FID.y195 15.7456569 0.0157809 997.77 <2e-16 ***
FID.y196 17.2494480 0.0089462 1928.12 <2e-16 ***
FID.y1964 17.4799308 0.0053927 3241.39 <2e-16 ***
FID.y1965 16.2084515 0.0112471 1441.12 <2e-16 ***
FID.y1966 16.7235957 0.0073945 2261.62 <2e-16 ***
FID.y1967 17.1832181 0.0068097 2523.35 <2e-16 ***
FID.y1982 17.5029269 0.0073478 2382.07 <2e-16 ***
FID.y1983 16.3722167 0.0105867 1546.49 <2e-16 ***
FID.y1984 17.2674073 0.0061091 2826.50 <2e-16 ***
FID.y1985 17.2384487 0.0058685 2937.45 <2e-16 ***
FID.y1986 15.8869872 0.0338531 469.29 <2e-16 ***
FID.y20 15.4538326 0.0459682 336.19 <2e-16 ***
FID.y2001 17.4817724 0.0132640 1317.99 <2e-16 ***
FID.y2002 17.3002457 0.0080996 2135.94 <2e-16 ***
FID.y2003 18.0072818 0.0068477 2629.70 <2e-16 ***
FID.y2004 16.5081866 0.0092322 1788.11 <2e-16 ***
FID.y2005 17.5020088 0.0059618 2935.72 <2e-16 ***
FID.y2020 18.1152548 0.0096827 1870.89 <2e-16 ***
FID.y2021 18.2664273 0.0080741 2262.36 <2e-16 ***
FID.y2022 17.1692910 0.0089848 1910.93 <2e-16 ***
FID.y2023 16.0010503 0.0134908 1186.07 <2e-16 ***
FID.y2024 16.8053920 0.0114560 1466.95 <2e-16 ***
FID.y2041 16.9595557 0.0125015 1356.60 <2e-16 ***
FID.y2042 14.7875634 0.0258178 572.77 <2e-16 ***
FID.y2043 16.8837459 0.0074301 2272.36 <2e-16 ***
FID.y2044 17.7609397 0.0100805 1761.92 <2e-16 ***
FID.y2060 16.2122863 0.0245531 660.30 <2e-16 ***
FID.y2061 16.1461606 0.0152916 1055.89 <2e-16 ***
FID.y2062 16.9692615 0.0073802 2299.30 <2e-16 ***
FID.y2063 15.3032682 0.0317076 482.64 <2e-16 ***
FID.y2078 16.4765143 0.0160468 1026.78 <2e-16 ***
FID.y2081 15.8290259 0.0197644 800.89 <2e-16 ***
FID.y2082 16.5601170 0.0098404 1682.87 <2e-16 ***
FID.y2097 18.6415330 0.0057111 3264.08 <2e-16 ***
FID.y2098 18.5363638 0.0051832 3576.23 <2e-16 ***
FID.y2101 17.0178999 0.0094137 1807.77 <2e-16 ***
FID.y2114 17.3919053 0.0155794 1116.34 <2e-16 ***
FID.y2118 18.7388342 0.0050347 3721.96 <2e-16 ***
FID.y2120 16.1372250 0.0126980 1270.85 <2e-16 ***
FID.y2136 17.5409348 0.0087657 2001.09 <2e-16 ***
FID.y2139 14.8670982 0.0295865 502.50 <2e-16 ***
FID.y214 15.7577005 0.0284762 553.36 <2e-16 ***
FID.y215 16.2202448 0.0147051 1103.03 <2e-16 ***
FID.y2152 16.4652783 0.0250403 657.55 <2e-16 ***
FID.y2157 18.1242862 0.0066860 2710.78 <2e-16 ***
FID.y216 15.9259920 0.0296040 537.97 <2e-16 ***
FID.y2176 18.5115257 0.0048540 3813.63 <2e-16 ***
FID.y2177 15.4509949 0.0239471 645.21 <2e-16 ***
FID.y2195 17.8479366 0.0110609 1613.60 <2e-16 ***
FID.y2196 18.0920057 0.0067267 2689.57 <2e-16 ***
FID.y2266 18.0601386 0.0182083 991.86 <2e-16 ***
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FID.y253 17.0796724 0.0120489 1417.52 <2e-16 ***
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FID.y291 17.8041336 0.0115381 1543.07 <2e-16 ***
FID.y307 17.8982140 0.0108613 1647.89 <2e-16 ***
FID.y308 16.6500182 0.0117612 1415.68 <2e-16 ***
FID.y309 17.8390167 0.0100773 1770.22 <2e-16 ***
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FID.y329 18.4340585 0.0075346 2446.57 <2e-16 ***
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FID.y347 17.9719735 0.0081482 2205.65 <2e-16 ***
FID.y348 17.0787089 0.0148478 1150.25 <2e-16 ***
FID.y365 17.4025051 0.0147877 1176.83 <2e-16 ***
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FID.y367 17.4888800 0.0051235 3413.47 <2e-16 ***
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FID.y369 19.1943829 0.0045581 4211.05 <2e-16 ***
FID.y384 15.9765654 0.0236722 674.91 <2e-16 ***
FID.y385 17.1649597 0.0102667 1671.90 <2e-16 ***
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FID.y387 17.2709618 0.0102376 1687.01 <2e-16 ***
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FID.y426 16.5214505 0.0154114 1072.03 <2e-16 ***
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FID.y464 17.8509598 0.0072994 2445.52 <2e-16 ***
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FID.y519 16.9962882 0.0162283 1047.32 <2e-16 ***
FID.y520 19.3307050 0.0025434 7600.42 <2e-16 ***
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FID.y538 17.6355751 0.0058649 3006.96 <2e-16 ***
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FID.y557 17.4534675 0.0084206 2072.71 <2e-16 ***
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FID.y559 17.3613266 0.0062693 2769.27 <2e-16 ***
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FID.y576 16.9328982 0.0107139 1580.47 <2e-16 ***
FID.y577 17.3842569 0.0057849 3005.09 <2e-16 ***
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FID.y594 17.5506043 0.0069077 2540.71 <2e-16 ***
FID.y595 17.3222537 0.0060082 2883.09 <2e-16 ***
FID.y596 17.5983782 0.0057459 3062.76 <2e-16 ***
FID.y597 18.1555592 0.0041693 4354.59 <2e-16 ***
FID.y599 16.9678886 0.0111061 1527.80 <2e-16 ***
FID.y60 16.6995980 0.0130429 1280.36 <2e-16 ***
FID.y61 16.8544281 0.0190690 883.87 <2e-16 ***
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FID.y613 16.0626643 0.0137761 1165.98 <2e-16 ***
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FID.y615 19.4393002 0.0027034 7190.78 <2e-16 ***
FID.y616 16.2225761 0.0178676 907.93 <2e-16 ***
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FID.y633 17.3372864 0.0067780 2557.89 <2e-16 ***
FID.y634 15.3819598 0.0190657 806.79 <2e-16 ***
FID.y635 17.7433011 0.0048714 3642.38 <2e-16 ***
FID.y637 17.3935517 0.0101432 1714.80 <2e-16 ***
FID.y653 16.9454593 0.0096384 1758.12 <2e-16 ***
FID.y656 15.3990878 0.0267915 574.77 <2e-16 ***
FID.y670 17.6276459 0.0069896 2521.99 <2e-16 ***
FID.y672 14.9767590 0.0209082 716.31 <2e-16 ***
FID.y673 17.8303275 0.0049987 3567.02 <2e-16 ***
FID.y688 17.7101354 0.0081139 2182.68 <2e-16 ***
FID.y689 16.1442464 0.0126009 1281.20 <2e-16 ***
FID.y690 15.0493093 0.0203613 739.11 <2e-16 ***
FID.y691 18.2032167 0.0037008 4918.67 <2e-16 ***
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FID.y694 17.5432580 0.0067814 2586.96 <2e-16 ***
FID.y699 15.3155489 0.0345345 443.49 <2e-16 ***
FID.y709 15.3768259 0.0198307 775.41 <2e-16 ***
FID.y710 17.0879053 0.0056268 3036.90 <2e-16 ***
FID.y711 17.5741380 0.0050614 3472.20 <2e-16 ***
FID.y712 17.1025996 0.0094715 1805.69 <2e-16 ***
FID.y713 16.3173608 0.0139097 1173.10 <2e-16 ***
FID.y714 16.3380749 0.0167244 976.90 <2e-16 ***
FID.y726 16.4810250 0.0136689 1205.73 <2e-16 ***
FID.y727 17.2117955 0.0066857 2574.41 <2e-16 ***
FID.y728 18.5234062 0.0031500 5880.51 <2e-16 ***
FID.y729 17.2120080 0.0059013 2916.65 <2e-16 ***
FID.y730 17.4634397 0.0069308 2519.68 <2e-16 ***
FID.y731 15.6501172 0.0196734 795.50 <2e-16 ***
FID.y732 17.5230072 0.0054150 3236.03 <2e-16 ***
FID.y733 17.4051362 0.0085328 2039.79 <2e-16 ***
FID.y737 16.0333728 0.0192707 832.01 <2e-16 ***
FID.y745 16.5443530 0.0133167 1242.38 <2e-16 ***
FID.y747 17.0461854 0.0061311 2780.30 <2e-16 ***
FID.y748 17.1020112 0.0062799 2723.31 <2e-16 ***
FID.y749 17.5093891 0.0049345 3548.33 <2e-16 ***
FID.y750 16.9819765 0.0081486 2084.04 <2e-16 ***
FID.y751 16.2817561 0.0126730 1284.76 <2e-16 ***
FID.y752 19.1497004 0.0028147 6803.48 <2e-16 ***
FID.y753 19.4352820 0.0034572 5621.73 <2e-16 ***
FID.y756 15.5983097 0.0192525 810.20 <2e-16 ***
FID.y763 16.2780063 0.0178051 914.23 <2e-16 ***
FID.y765 16.9386317 0.0069724 2429.37 <2e-16 ***
FID.y766 18.0330175 0.0045794 3937.83 <2e-16 ***
FID.y767 17.1009825 0.0063175 2706.90 <2e-16 ***
FID.y768 16.7325194 0.0081910 2042.79 <2e-16 ***
FID.y769 17.4118057 0.0057495 3028.40 <2e-16 ***
FID.y77 15.4254844 0.0344680 447.53 <2e-16 ***
FID.y770 17.1363264 0.0061919 2767.56 <2e-16 ***
FID.y771 17.1454376 0.0083131 2062.46 <2e-16 ***
FID.y772 18.0392858 0.0079430 2271.10 <2e-16 ***
FID.y773 16.5070943 0.0140704 1173.18 <2e-16 ***
FID.y774 15.5674307 0.0194859 798.91 <2e-16 ***
FID.y775 14.6739821 0.0312569 469.46 <2e-16 ***
FID.y78 14.0663375 0.0870596 161.57 <2e-16 ***
FID.y783 17.0868100 0.0099420 1718.64 <2e-16 ***
FID.y784 18.4021314 0.0046374 3968.22 <2e-16 ***
FID.y785 18.0301275 0.0053704 3357.31 <2e-16 ***
FID.y786 18.5503175 0.0050074 3704.58 <2e-16 ***
FID.y787 18.6155314 0.0030983 6008.27 <2e-16 ***
FID.y788 19.0702365 0.0038600 4940.50 <2e-16 ***
FID.y789 17.6451935 0.0055869 3158.33 <2e-16 ***
FID.y79 15.8999449 0.0167180 951.07 <2e-16 ***
FID.y790 17.4181998 0.0078777 2211.08 <2e-16 ***
FID.y791 15.8079590 0.0131939 1198.12 <2e-16 ***
FID.y792 15.2575014 0.0281772 541.48 <2e-16 ***
FID.y793 15.8231908 0.0190716 829.67 <2e-16 ***
FID.y794 16.4342213 0.0140535 1169.40 <2e-16 ***
FID.y80 16.5125139 0.0213748 772.52 <2e-16 ***
FID.y802 17.1153463 0.0082576 2072.68 <2e-16 ***
FID.y803 15.9040059 0.0135400 1174.59 <2e-16 ***
FID.y804 16.2622998 0.0127464 1275.83 <2e-16 ***
FID.y805 17.6019142 0.0049311 3569.55 <2e-16 ***
FID.y806 16.8243604 0.0141988 1184.91 <2e-16 ***
FID.y808 17.8214107 0.0045476 3918.85 <2e-16 ***
FID.y809 16.1375740 0.0116594 1384.08 <2e-16 ***
FID.y81 12.8339298 0.5000041 25.67 <2e-16 ***
FID.y810 16.7453408 0.0093640 1788.28 <2e-16 ***
FID.y811 15.0456583 0.0299816 501.83 <2e-16 ***
FID.y812 14.4566477 0.0271682 532.12 <2e-16 ***
FID.y813 16.2890821 0.0140982 1155.40 <2e-16 ***
FID.y821 17.2092292 0.0103945 1655.61 <2e-16 ***
FID.y822 16.8810302 0.0064722 2608.26 <2e-16 ***
FID.y823 15.9843323 0.0118389 1350.15 <2e-16 ***
FID.y824 18.2860414 0.0040234 4544.88 <2e-16 ***
FID.y825 16.7262645 0.0071810 2329.22 <2e-16 ***
FID.y828 17.3824545 0.0060111 2891.72 <2e-16 ***
FID.y830 17.8381623 0.0056640 3149.40 <2e-16 ***
FID.y831 14.4967799 0.0398859 363.46 <2e-16 ***
FID.y832 15.9037537 0.0145390 1093.87 <2e-16 ***
FID.y839 15.8530549 0.0170003 932.52 <2e-16 ***
FID.y840 16.8444518 0.0069387 2427.60 <2e-16 ***
FID.y841 17.9081688 0.0038901 4603.51 <2e-16 ***
FID.y842 16.4946534 0.0101840 1619.66 <2e-16 ***
FID.y843 15.5222568 0.0243251 638.12 <2e-16 ***
FID.y844 17.0340282 0.0075238 2264.03 <2e-16 ***
FID.y845 16.9238730 0.0081643 2072.91 <2e-16 ***
FID.y846 19.1157902 0.0027838 6866.69 <2e-16 ***
FID.y849 12.5540777 0.1740870 72.11 <2e-16 ***
FID.y850 18.7553414 0.0036102 5195.04 <2e-16 ***
FID.y851 16.0459437 0.0186205 861.74 <2e-16 ***
FID.y858 15.8543518 0.0144376 1098.13 <2e-16 ***
FID.y859 18.0046368 0.0050113 3592.79 <2e-16 ***
FID.y860 18.7011728 0.0029447 6350.74 <2e-16 ***
FID.y861 18.1485663 0.0077231 2349.92 <2e-16 ***
FID.y862 16.8864421 0.0085647 1971.63 <2e-16 ***
FID.y863 15.2067160 0.0170900 889.80 <2e-16 ***
FID.y864 17.9200038 0.0044746 4004.82 <2e-16 ***
FID.y865 16.5758213 0.0091652 1808.55 <2e-16 ***
FID.y866 17.4003780 0.0084528 2058.53 <2e-16 ***
FID.y868 15.9063568 0.0219279 725.39 <2e-16 ***
FID.y870 17.0000730 0.0119352 1424.36 <2e-16 ***
FID.y871 18.6373275 0.0048324 3856.72 <2e-16 ***
FID.y877 17.1699692 0.0062121 2763.95 <2e-16 ***
FID.y878 17.4221037 0.0046548 3742.81 <2e-16 ***
FID.y879 16.8159934 0.0070092 2399.13 <2e-16 ***
FID.y881 16.4388715 0.0104452 1573.82 <2e-16 ***
FID.y882 15.3180516 0.0160416 954.90 <2e-16 ***
FID.y883 16.2523025 0.0111633 1455.87 <2e-16 ***
FID.y884 17.1060091 0.0064377 2657.18 <2e-16 ***
FID.y885 17.1390575 0.0107661 1591.95 <2e-16 ***
FID.y889 16.4590600 0.0107572 1530.05 <2e-16 ***
FID.y896 17.1102829 0.0067973 2517.21 <2e-16 ***
FID.y897 17.4090792 0.0054587 3189.22 <2e-16 ***
FID.y898 16.0682253 0.0095443 1683.54 <2e-16 ***
FID.y899 15.8925312 0.0112029 1418.61 <2e-16 ***
FID.y900 16.5702051 0.0079196 2092.29 <2e-16 ***
FID.y901 16.2913360 0.0107847 1510.59 <2e-16 ***
FID.y902 16.7505028 0.0130254 1285.99 <2e-16 ***
FID.y903 17.5248744 0.0058694 2985.83 <2e-16 ***
FID.y904 17.0935030 0.0097159 1759.33 <2e-16 ***
FID.y906 16.3369162 0.0154556 1057.02 <2e-16 ***
FID.y908 18.7322487 0.0033848 5534.19 <2e-16 ***
FID.y909 17.9946568 0.0047659 3775.71 <2e-16 ***
FID.y914 16.6684174 0.0118969 1401.08 <2e-16 ***
FID.y915 18.1578237 0.0059232 3065.56 <2e-16 ***
FID.y916 17.0407842 0.0075581 2254.63 <2e-16 ***
FID.y917 15.2572025 0.0157707 967.44 <2e-16 ***
FID.y918 17.9942814 0.0043656 4121.85 <2e-16 ***
FID.y919 18.2271872 0.0039731 4587.61 <2e-16 ***
FID.y921 16.6834169 0.0120275 1387.11 <2e-16 ***
FID.y922 17.8170568 0.0058182 3062.28 <2e-16 ***
FID.y926 16.7570188 0.0129777 1291.21 <2e-16 ***
FID.y927 17.5868552 0.0064087 2744.24 <2e-16 ***
FID.y928 13.6288943 0.0589540 231.18 <2e-16 ***
FID.y934 17.2250080 0.0067634 2546.81 <2e-16 ***
FID.y935 17.8764502 0.0046488 3845.37 <2e-16 ***
FID.y936 17.7103415 0.0048618 3642.75 <2e-16 ***
FID.y937 18.1435483 0.0040418 4489.00 <2e-16 ***
FID.y938 16.9844798 0.0061356 2768.20 <2e-16 ***
FID.y944 16.9539388 0.0108130 1567.92 <2e-16 ***
FID.y946 17.4284932 0.0058513 2978.58 <2e-16 ***
FID.y947 17.7702799 0.0056781 3129.64 <2e-16 ***
FID.y952 17.8069719 0.0048578 3665.67 <2e-16 ***
FID.y953 17.5966990 0.0050386 3492.35 <2e-16 ***
FID.y954 16.7534942 0.0080407 2083.60 <2e-16 ***
FID.y955 15.9737164 0.0109478 1459.08 <2e-16 ***
FID.y963 13.9544320 0.0870580 160.29 <2e-16 ***
FID.y965 18.7442845 0.0040037 4681.70 <2e-16 ***
FID.y966 18.7068157 0.0047156 3966.98 <2e-16 ***
FID.y971 15.7321795 0.0134941 1165.86 <2e-16 ***
FID.y972 17.3896880 0.0060120 2892.47 <2e-16 ***
FID.y973 16.7871423 0.0067473 2487.98 <2e-16 ***
FID.y974 16.0735289 0.0101829 1578.49 <2e-16 ***
FID.y976 17.3390742 0.0059304 2923.77 <2e-16 ***
FID.y98 16.1383081 0.0253825 635.80 <2e-16 ***
FID.y982 15.8744631 0.0562083 282.42 <2e-16 ***
FID.y984 17.8396212 0.0060143 2966.19 <2e-16 ***
FID.y985 18.2016944 0.0054182 3359.39 <2e-16 ***
FID.y989 13.9531877 0.0481520 289.77 <2e-16 ***
FID.y99 13.7810906 0.1005201 137.10 <2e-16 ***
FID.y990 16.5608780 0.0132396 1250.86 <2e-16 ***
FID.y991 16.5205409 0.0147033 1123.60 <2e-16 ***
FID.y992 17.7045788 0.0043355 4083.66 <2e-16 ***
FID.y993 15.0661803 0.0215829 698.06 <2e-16 ***
FID.y994 16.6583793 0.0077419 2151.72 <2e-16 ***
log(RETAIL_COUNT) NA NA NA NA
log(BUSINESS_COUNT) NA NA NA NA
log(HDB_COUNT) NA NA NA NA
log(TRAIN_COUNT) NA NA NA NA
log(BUS_STOP_COUNT) NA NA NA NA
log(dist) -1.4559742 0.0002581 -5640.37 <2e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(Dispersion parameter for poisson family taken to be 1)
Null deviance: 338170409 on 65111 degrees of freedom
Residual deviance: 44596288 on 64295 degrees of freedom
AIC: 44956199
Number of Fisher Scoring iterations: 8Goodness of Fit
CalcRSquared(decSIM$data$MORNING_PEAK, decSIM$fitted.values)[1] 0.31270294. Doubly Constrained Model
the most comprehensive among these models. It imposes constraints on both the outflows from each origin and the inflows to each destination.
dbcSIM_Poisson <- glm(formula = MORNING_PEAK ~
FID.x +
FID.y +
log(RETAIL_COUNT)+
log(BUSINESS_COUNT)+
log(HDB_COUNT)+
log(TRAIN_COUNT)+
log(BUS_STOP_COUNT)+
log(dist),
family = poisson(link = "log"),
data = inter_zonal_flow,
na.action = na.exclude)
summary(dbcSIM_Poisson)
Call:
glm(formula = MORNING_PEAK ~ FID.x + FID.y + log(RETAIL_COUNT) +
log(BUSINESS_COUNT) + log(HDB_COUNT) + log(TRAIN_COUNT) +
log(BUS_STOP_COUNT) + log(dist), family = poisson(link = "log"),
data = inter_zonal_flow, na.action = na.exclude)
Coefficients: (5 not defined because of singularities)
Estimate Std. Error z value Pr(>|z|)
(Intercept) 20.1111364 0.0182612 1101.305 < 2e-16 ***
FID.x1000 -2.4653075 0.0630644 -39.092 < 2e-16 ***
FID.x1001 -4.0406681 0.0930163 -43.440 < 2e-16 ***
FID.x1002 -1.7656577 0.0311305 -56.718 < 2e-16 ***
FID.x1003 2.3831505 0.0149454 159.457 < 2e-16 ***
FID.x1004 -0.1808500 0.0166047 -10.891 < 2e-16 ***
FID.x1009 -0.8771079 0.0168993 -51.902 < 2e-16 ***
FID.x101 -4.1412372 0.0657375 -62.997 < 2e-16 ***
FID.x1010 -2.2401400 0.0227698 -98.382 < 2e-16 ***
FID.x1011 -2.1008692 0.0240733 -87.270 < 2e-16 ***
FID.x1012 -0.9590655 0.0175268 -54.720 < 2e-16 ***
FID.x1013 -1.0546214 0.0196154 -53.765 < 2e-16 ***
FID.x1022 0.8363477 0.0154920 53.986 < 2e-16 ***
FID.x1023 0.8737527 0.0152592 57.261 < 2e-16 ***
FID.x1024 0.1480063 0.0169019 8.757 < 2e-16 ***
FID.x1027 -2.0358046 0.0211355 -96.322 < 2e-16 ***
FID.x1029 -2.8164966 0.0321208 -87.684 < 2e-16 ***
FID.x1030 -0.1091866 0.0155359 -7.028 2.10e-12 ***
FID.x1032 -0.1136697 0.0159198 -7.140 9.32e-13 ***
FID.x1039 -2.7257355 0.0538516 -50.616 < 2e-16 ***
FID.x1040 -1.1845478 0.0226643 -52.265 < 2e-16 ***
FID.x1041 1.0987154 0.0151863 72.349 < 2e-16 ***
FID.x1042 0.0113586 0.0160857 0.706 0.480108
FID.x1047 -1.7479989 0.0183308 -95.358 < 2e-16 ***
FID.x1048 -0.3035253 0.0157202 -19.308 < 2e-16 ***
FID.x1049 0.7173909 0.0151490 47.356 < 2e-16 ***
FID.x1060 1.6733874 0.0152681 109.600 < 2e-16 ***
FID.x1061 1.5342909 0.0152349 100.709 < 2e-16 ***
FID.x1062 -1.2493606 0.0190337 -65.639 < 2e-16 ***
FID.x1063 -5.5323890 0.2677338 -20.664 < 2e-16 ***
FID.x1065 -1.5096206 0.0179217 -84.234 < 2e-16 ***
FID.x1066 -0.8186474 0.0161842 -50.583 < 2e-16 ***
FID.x1067 0.2291648 0.0152989 14.979 < 2e-16 ***
FID.x1068 -0.4754898 0.0160453 -29.634 < 2e-16 ***
FID.x1070 -1.1750332 0.0186870 -62.880 < 2e-16 ***
FID.x1077 -2.2368603 0.0502613 -44.505 < 2e-16 ***
FID.x1079 0.4090689 0.0160052 25.558 < 2e-16 ***
FID.x1080 0.4054249 0.0156559 25.896 < 2e-16 ***
FID.x1081 -1.2697628 0.0198903 -63.838 < 2e-16 ***
FID.x1085 -0.7550306 0.0161267 -46.819 < 2e-16 ***
FID.x1086 -0.8979098 0.0162974 -55.095 < 2e-16 ***
FID.x1088 -0.0084438 0.0158120 -0.534 0.593333
FID.x1089 -0.3099396 0.0161555 -19.185 < 2e-16 ***
FID.x1096 -2.9729506 0.0903632 -32.900 < 2e-16 ***
FID.x1099 1.1254577 0.0153335 73.398 < 2e-16 ***
FID.x1100 -2.3358743 0.0423561 -55.148 < 2e-16 ***
FID.x1101 -3.2313958 0.0421214 -76.716 < 2e-16 ***
FID.x1103 0.2727058 0.0152599 17.871 < 2e-16 ***
FID.x1104 -0.0773731 0.0153789 -5.031 4.88e-07 ***
FID.x1105 -0.4042156 0.0176206 -22.940 < 2e-16 ***
FID.x1106 -2.1027734 0.0222042 -94.701 < 2e-16 ***
FID.x1107 -1.1437419 0.0179223 -63.817 < 2e-16 ***
FID.x1114 -5.2708521 0.1896051 -27.799 < 2e-16 ***
FID.x1115 -3.1552775 0.1127962 -27.973 < 2e-16 ***
FID.x1118 -1.3595799 0.0201430 -67.496 < 2e-16 ***
FID.x1119 -1.3312022 0.0201315 -66.125 < 2e-16 ***
FID.x1122 -1.4716973 0.0177673 -82.832 < 2e-16 ***
FID.x1123 -0.9027058 0.0161878 -55.764 < 2e-16 ***
FID.x1124 -0.2274450 0.0154842 -14.689 < 2e-16 ***
FID.x1127 -0.9863338 0.0172455 -57.194 < 2e-16 ***
FID.x1137 0.0532947 0.0165023 3.230 0.001240 **
FID.x1138 0.9508879 0.0157118 60.521 < 2e-16 ***
FID.x1139 -1.0525494 0.0205477 -51.225 < 2e-16 ***
FID.x1141 -1.1312423 0.0168377 -67.185 < 2e-16 ***
FID.x1142 -0.5360205 0.0155991 -34.362 < 2e-16 ***
FID.x1143 -1.5065303 0.0188038 -80.118 < 2e-16 ***
FID.x1144 -1.7108367 0.0202177 -84.621 < 2e-16 ***
FID.x1145 -0.4004082 0.0165932 -24.131 < 2e-16 ***
FID.x1146 -2.2010453 0.0294514 -74.735 < 2e-16 ***
FID.x115 -0.8514049 0.0329536 -25.837 < 2e-16 ***
FID.x1151 -4.6313575 0.1164530 -39.770 < 2e-16 ***
FID.x1152 -0.4988916 0.0189863 -26.276 < 2e-16 ***
FID.x1156 1.1016307 0.0153288 71.867 < 2e-16 ***
FID.x1157 -1.4551273 0.0200884 -72.436 < 2e-16 ***
FID.x116 -3.8785135 0.1899234 -20.421 < 2e-16 ***
FID.x1160 0.7055045 0.0151832 46.466 < 2e-16 ***
FID.x1161 -0.1298699 0.0154612 -8.400 < 2e-16 ***
FID.x1162 0.5706211 0.0150942 37.804 < 2e-16 ***
FID.x1163 -1.1455785 0.0177957 -64.374 < 2e-16 ***
FID.x1166 -2.9587148 0.0474549 -62.348 < 2e-16 ***
FID.x117 -3.7620563 0.0620171 -60.662 < 2e-16 ***
FID.x1170 -4.3570798 0.0903438 -48.228 < 2e-16 ***
FID.x1171 0.9571040 0.0159467 60.019 < 2e-16 ***
FID.x1172 -1.5242931 0.0253391 -60.156 < 2e-16 ***
FID.x1175 0.1058938 0.0162643 6.511 7.47e-11 ***
FID.x1176 0.4725790 0.0160081 29.521 < 2e-16 ***
FID.x1179 0.4838332 0.0152161 31.797 < 2e-16 ***
FID.x118 -3.6136354 0.0384530 -93.975 < 2e-16 ***
FID.x1180 -0.1279928 0.0152831 -8.375 < 2e-16 ***
FID.x1182 -3.6004040 0.0403552 -89.218 < 2e-16 ***
FID.x1183 -0.2590833 0.0159140 -16.280 < 2e-16 ***
FID.x1185 -4.0535541 0.1107752 -36.593 < 2e-16 ***
FID.x119 -3.8338623 0.0503429 -76.155 < 2e-16 ***
FID.x1191 -2.4746843 0.0362686 -68.232 < 2e-16 ***
FID.x1192 -0.8697825 0.0185125 -46.984 < 2e-16 ***
FID.x1193 -1.5455885 0.0211752 -72.990 < 2e-16 ***
FID.x1194 1.3536592 0.0152720 88.637 < 2e-16 ***
FID.x1195 -0.1222845 0.0172494 -7.089 1.35e-12 ***
FID.x1198 -1.9093869 0.0191392 -99.763 < 2e-16 ***
FID.x1199 0.0555660 0.0152692 3.639 0.000274 ***
FID.x120 -3.0210985 0.0401453 -75.254 < 2e-16 ***
FID.x1200 -0.1116826 0.0153798 -7.262 3.82e-13 ***
FID.x1201 -1.4540578 0.0174342 -83.402 < 2e-16 ***
FID.x1202 -1.1926990 0.0186901 -63.814 < 2e-16 ***
FID.x1203 -0.3592020 0.0167732 -21.415 < 2e-16 ***
FID.x1204 -4.7211992 0.2586475 -18.253 < 2e-16 ***
FID.x1206 -1.0100517 0.0190640 -52.982 < 2e-16 ***
FID.x1207 -0.6704593 0.0184854 -36.270 < 2e-16 ***
FID.x1208 -1.1449371 0.0220833 -51.846 < 2e-16 ***
FID.x1209 -3.8176728 0.1082509 -35.267 < 2e-16 ***
FID.x121 -0.0778715 0.0296730 -2.624 0.008682 **
FID.x1210 -3.4251960 0.0508952 -67.299 < 2e-16 ***
FID.x1211 -4.5841953 0.0827299 -55.412 < 2e-16 ***
FID.x1212 1.2888093 0.0152128 84.719 < 2e-16 ***
FID.x1213 -0.4033402 0.0171909 -23.462 < 2e-16 ***
FID.x1214 -5.9424209 0.7072644 -8.402 < 2e-16 ***
FID.x1217 -0.2629673 0.0159237 -16.514 < 2e-16 ***
FID.x1218 0.7223957 0.0151036 47.829 < 2e-16 ***
FID.x1219 -0.8559610 0.0159581 -53.638 < 2e-16 ***
FID.x1220 -1.0493865 0.0167707 -62.573 < 2e-16 ***
FID.x1221 -0.8690534 0.0184397 -47.130 < 2e-16 ***
FID.x1224 -0.6454243 0.0169215 -38.142 < 2e-16 ***
FID.x1225 -1.1499663 0.0190009 -60.522 < 2e-16 ***
FID.x1226 -0.3777919 0.0169335 -22.310 < 2e-16 ***
FID.x1228 -1.2967222 0.0237872 -54.513 < 2e-16 ***
FID.x1229 0.0125650 0.0163908 0.767 0.443326
FID.x1230 0.3073148 0.0156384 19.651 < 2e-16 ***
FID.x1231 0.3492569 0.0156991 22.247 < 2e-16 ***
FID.x1232 1.4950280 0.0153397 97.462 < 2e-16 ***
FID.x1233 -2.5164807 0.0475506 -52.922 < 2e-16 ***
FID.x1237 -1.4318746 0.0169318 -84.567 < 2e-16 ***
FID.x1238 -1.5757614 0.0170309 -92.524 < 2e-16 ***
FID.x1239 -0.4373159 0.0155290 -28.161 < 2e-16 ***
FID.x1240 -1.0765218 0.0176925 -60.846 < 2e-16 ***
FID.x1241 -1.8096273 0.0195956 -92.349 < 2e-16 ***
FID.x1242 -3.3981390 0.0484455 -70.144 < 2e-16 ***
FID.x1243 -1.6115406 0.0190564 -84.567 < 2e-16 ***
FID.x1244 0.0231872 0.0165918 1.398 0.162261
FID.x1245 -0.5652575 0.0192345 -29.388 < 2e-16 ***
FID.x1248 -2.4063001 0.0373846 -64.366 < 2e-16 ***
FID.x1249 1.7080587 0.0150601 113.416 < 2e-16 ***
FID.x1250 1.2718222 0.0152304 83.506 < 2e-16 ***
FID.x1251 0.6794677 0.0160460 42.345 < 2e-16 ***
FID.x1252 -1.8651613 0.0282472 -66.030 < 2e-16 ***
FID.x1255 -0.8369036 0.0160684 -52.084 < 2e-16 ***
FID.x1256 -1.6913620 0.0171533 -98.603 < 2e-16 ***
FID.x1257 -0.9303019 0.0161419 -57.633 < 2e-16 ***
FID.x1258 -1.1146665 0.0168713 -66.069 < 2e-16 ***
FID.x1259 -1.3409575 0.0215711 -62.165 < 2e-16 ***
FID.x1260 -2.1607864 0.0208145 -103.811 < 2e-16 ***
FID.x1261 -0.4536794 0.0160529 -28.262 < 2e-16 ***
FID.x1262 -0.6641034 0.0164230 -40.437 < 2e-16 ***
FID.x1263 0.3774529 0.0155537 24.268 < 2e-16 ***
FID.x1264 0.4453166 0.0156229 28.504 < 2e-16 ***
FID.x1265 -0.6382233 0.0183168 -34.844 < 2e-16 ***
FID.x1267 0.4654255 0.0161442 28.829 < 2e-16 ***
FID.x1268 0.8437207 0.0152636 55.277 < 2e-16 ***
FID.x1269 0.8612317 0.0154050 55.906 < 2e-16 ***
FID.x1271 0.9187987 0.0212311 43.276 < 2e-16 ***
FID.x1275 -0.2343601 0.0153478 -15.270 < 2e-16 ***
FID.x1276 -1.3171961 0.0167173 -78.792 < 2e-16 ***
FID.x1277 -0.9623668 0.0159739 -60.246 < 2e-16 ***
FID.x1278 -0.0814409 0.0154567 -5.269 1.37e-07 ***
FID.x1279 -0.7670661 0.0159793 -48.004 < 2e-16 ***
FID.x1280 -1.2877124 0.0173294 -74.308 < 2e-16 ***
FID.x1281 -0.6567409 0.0162792 -40.342 < 2e-16 ***
FID.x1282 -0.4366443 0.0160520 -27.202 < 2e-16 ***
FID.x1283 0.3483506 0.0154894 22.490 < 2e-16 ***
FID.x1284 -0.1802932 0.0161080 -11.193 < 2e-16 ***
FID.x1287 0.8952915 0.0155936 57.414 < 2e-16 ***
FID.x1288 1.7646667 0.0151770 116.272 < 2e-16 ***
FID.x1293 -0.5307266 0.0158162 -33.556 < 2e-16 ***
FID.x1294 -0.4838575 0.0154755 -31.266 < 2e-16 ***
FID.x1295 -0.4372747 0.0154535 -28.296 < 2e-16 ***
FID.x1296 -1.7598313 0.0216092 -81.439 < 2e-16 ***
FID.x1297 -0.2252756 0.0156480 -14.396 < 2e-16 ***
FID.x1298 0.1760620 0.0152402 11.552 < 2e-16 ***
FID.x1299 -2.8353416 0.0264417 -107.230 < 2e-16 ***
FID.x1300 0.3695517 0.0153315 24.104 < 2e-16 ***
FID.x1301 0.8154001 0.0150859 54.050 < 2e-16 ***
FID.x1302 1.4338374 0.0150129 95.507 < 2e-16 ***
FID.x1303 -2.1817920 0.0249375 -87.491 < 2e-16 ***
FID.x1305 0.7432463 0.0161528 46.013 < 2e-16 ***
FID.x1306 1.7904154 0.0152206 117.631 < 2e-16 ***
FID.x1307 0.8019698 0.0164920 48.628 < 2e-16 ***
FID.x1313 -1.3732676 0.0165488 -82.983 < 2e-16 ***
FID.x1314 -1.2412642 0.0164346 -75.527 < 2e-16 ***
FID.x1315 -2.2410660 0.0232922 -96.215 < 2e-16 ***
FID.x1316 -0.8488728 0.0167598 -50.649 < 2e-16 ***
FID.x1317 -0.4275278 0.0158246 -27.017 < 2e-16 ***
FID.x1318 0.3818202 0.0152617 25.018 < 2e-16 ***
FID.x1319 0.7216530 0.0151584 47.607 < 2e-16 ***
FID.x1320 0.1824814 0.0154044 11.846 < 2e-16 ***
FID.x1321 -0.5524146 0.0159732 -34.584 < 2e-16 ***
FID.x1322 -1.9915609 0.0222081 -89.677 < 2e-16 ***
FID.x1325 2.1600318 0.0151615 142.468 < 2e-16 ***
FID.x1326 1.6482376 0.0154956 106.368 < 2e-16 ***
FID.x1331 -2.8522993 0.0239388 -119.150 < 2e-16 ***
FID.x1332 -1.8137140 0.0175783 -103.179 < 2e-16 ***
FID.x1333 -0.7052578 0.0156095 -45.181 < 2e-16 ***
FID.x1334 0.2687046 0.0152575 17.611 < 2e-16 ***
FID.x1335 -0.4360788 0.0159181 -27.395 < 2e-16 ***
FID.x1336 1.0660168 0.0149586 71.264 < 2e-16 ***
FID.x1337 -0.6060043 0.0159633 -37.962 < 2e-16 ***
FID.x1338 -0.3762168 0.0157516 -23.884 < 2e-16 ***
FID.x1339 1.4226298 0.0149510 95.153 < 2e-16 ***
FID.x1340 -1.2592468 0.0177601 -70.903 < 2e-16 ***
FID.x1341 -0.9684637 0.0193419 -50.071 < 2e-16 ***
FID.x1344 1.5923650 0.0155275 102.551 < 2e-16 ***
FID.x135 0.0337767 0.0252045 1.340 0.180210
FID.x1351 -1.5438554 0.0187520 -82.330 < 2e-16 ***
FID.x1352 -1.4207689 0.0165824 -85.680 < 2e-16 ***
FID.x1353 -0.2910530 0.0153670 -18.940 < 2e-16 ***
FID.x1354 -0.0805495 0.0155468 -5.181 2.21e-07 ***
FID.x1355 0.3505139 0.0152269 23.019 < 2e-16 ***
FID.x1356 0.5639787 0.0151256 37.286 < 2e-16 ***
FID.x1357 0.4429038 0.0156161 28.362 < 2e-16 ***
FID.x1358 0.7361525 0.0151398 48.624 < 2e-16 ***
FID.x1359 0.1966145 0.0154049 12.763 < 2e-16 ***
FID.x136 -2.9572573 0.0606659 -48.747 < 2e-16 ***
FID.x1363 -3.6791855 0.1094947 -33.602 < 2e-16 ***
FID.x137 -3.4984272 0.0827625 -42.271 < 2e-16 ***
FID.x1370 -2.4466664 0.0256928 -95.228 < 2e-16 ***
FID.x1371 -0.9258290 0.0160404 -57.719 < 2e-16 ***
FID.x1372 -0.6846329 0.0161234 -42.462 < 2e-16 ***
FID.x1373 -0.6917093 0.0163433 -42.324 < 2e-16 ***
FID.x1374 0.5561519 0.0154563 35.982 < 2e-16 ***
FID.x1375 0.0331393 0.0154623 2.143 0.032095 *
FID.x1376 -1.4386348 0.0182483 -78.836 < 2e-16 ***
FID.x1377 0.9330085 0.0150896 61.831 < 2e-16 ***
FID.x1378 -0.5382510 0.0209162 -25.734 < 2e-16 ***
FID.x1379 -0.3602419 0.0172973 -20.827 < 2e-16 ***
FID.x138 -2.7407873 0.0444185 -61.704 < 2e-16 ***
FID.x1382 -0.3661160 0.0216596 -16.903 < 2e-16 ***
FID.x1388 -3.5340852 0.0744054 -47.498 < 2e-16 ***
FID.x1389 -3.2533791 0.0354841 -91.686 < 2e-16 ***
FID.x139 -0.0795471 0.0169741 -4.686 2.78e-06 ***
FID.x1390 -2.1438192 0.0213452 -100.436 < 2e-16 ***
FID.x1391 -0.7872555 0.0158324 -49.724 < 2e-16 ***
FID.x1392 -0.3278447 0.0154942 -21.159 < 2e-16 ***
FID.x1393 0.2279745 0.0152822 14.918 < 2e-16 ***
FID.x1394 1.4791467 0.0154893 95.495 < 2e-16 ***
FID.x1395 -1.5271282 0.0203161 -75.168 < 2e-16 ***
FID.x1396 -0.7092119 0.0245192 -28.925 < 2e-16 ***
FID.x1397 0.1619839 0.0160029 10.122 < 2e-16 ***
FID.x140 -2.8736886 0.0355795 -80.768 < 2e-16 ***
FID.x1400 -2.9860968 0.0594657 -50.215 < 2e-16 ***
FID.x1407 -2.7185902 0.0593153 -45.833 < 2e-16 ***
FID.x1408 -3.0311781 0.0341087 -88.868 < 2e-16 ***
FID.x1409 -1.8847801 0.0228930 -82.330 < 2e-16 ***
FID.x141 -1.9689416 0.0412807 -47.696 < 2e-16 ***
FID.x1410 -0.1548454 0.0153871 -10.063 < 2e-16 ***
FID.x1411 0.6604057 0.0150964 43.746 < 2e-16 ***
FID.x1412 0.4913135 0.0153494 32.009 < 2e-16 ***
FID.x1413 -2.4196665 0.0238672 -101.380 < 2e-16 ***
FID.x1414 -0.6185964 0.0162651 -38.032 < 2e-16 ***
FID.x1415 -1.4983246 0.0193560 -77.409 < 2e-16 ***
FID.x1416 -1.4132450 0.0197875 -71.421 < 2e-16 ***
FID.x1417 -1.6650936 0.0240929 -69.111 < 2e-16 ***
FID.x1418 -3.6350181 0.0779293 -46.645 < 2e-16 ***
FID.x1419 -2.8514927 0.0621732 -45.864 < 2e-16 ***
FID.x1427 -5.8116376 0.7072949 -8.217 < 2e-16 ***
FID.x1429 -1.6055418 0.0208243 -77.099 < 2e-16 ***
FID.x1430 -2.9354856 0.0244466 -120.078 < 2e-16 ***
FID.x1431 0.3653650 0.0151449 24.125 < 2e-16 ***
FID.x1432 -1.4388274 0.0246007 -58.487 < 2e-16 ***
FID.x1433 -1.0951391 0.0176026 -62.215 < 2e-16 ***
FID.x1434 -0.4350860 0.0170727 -25.484 < 2e-16 ***
FID.x1435 -1.4176844 0.0189413 -74.846 < 2e-16 ***
FID.x1438 -2.6029046 0.0417675 -62.319 < 2e-16 ***
FID.x1439 -2.7479277 0.0593684 -46.286 < 2e-16 ***
FID.x1447 0.4546690 0.0176243 25.798 < 2e-16 ***
FID.x1448 -1.0342746 0.0163201 -63.374 < 2e-16 ***
FID.x1449 -0.3791744 0.0157873 -24.018 < 2e-16 ***
FID.x1450 0.5677058 0.0151688 37.426 < 2e-16 ***
FID.x1451 -0.9273944 0.0164574 -56.351 < 2e-16 ***
FID.x1452 0.4443084 0.0152412 29.152 < 2e-16 ***
FID.x1453 -0.0604105 0.0171652 -3.519 0.000433 ***
FID.x1454 -0.8213078 0.0172827 -47.522 < 2e-16 ***
FID.x1455 1.2496588 0.0153076 81.636 < 2e-16 ***
FID.x1456 1.1275029 0.0156451 72.067 < 2e-16 ***
FID.x1457 -2.4257589 0.0614284 -39.489 < 2e-16 ***
FID.x1467 -0.9775816 0.0250350 -39.049 < 2e-16 ***
FID.x1468 0.3348382 0.0151876 22.047 < 2e-16 ***
FID.x1469 -0.9180940 0.0166448 -55.158 < 2e-16 ***
FID.x1470 0.5115603 0.0153251 33.381 < 2e-16 ***
FID.x1471 1.1597197 0.0150357 77.131 < 2e-16 ***
FID.x1472 -0.4324646 0.0161428 -26.790 < 2e-16 ***
FID.x1473 1.2545914 0.0150682 83.261 < 2e-16 ***
FID.x1474 0.2057792 0.0161158 12.769 < 2e-16 ***
FID.x1475 0.3096469 0.0165247 18.738 < 2e-16 ***
FID.x1476 -3.2989451 0.0606000 -54.438 < 2e-16 ***
FID.x1485 -2.1775445 0.0309852 -70.277 < 2e-16 ***
FID.x1486 0.2392548 0.0152899 15.648 < 2e-16 ***
FID.x1487 -1.9793071 0.0215623 -91.795 < 2e-16 ***
FID.x1488 -0.4598373 0.0157958 -29.111 < 2e-16 ***
FID.x1489 -0.6333731 0.0168794 -37.523 < 2e-16 ***
FID.x1490 -0.2145997 0.0156568 -13.706 < 2e-16 ***
FID.x1491 0.3941441 0.0153833 25.622 < 2e-16 ***
FID.x1492 1.1217658 0.0151244 74.169 < 2e-16 ***
FID.x1493 1.2003402 0.0155651 77.117 < 2e-16 ***
FID.x1505 -4.8084878 0.1674608 -28.714 < 2e-16 ***
FID.x1506 0.4489019 0.0151727 29.586 < 2e-16 ***
FID.x1507 -0.8333916 0.0161360 -51.648 < 2e-16 ***
FID.x1508 0.1440252 0.0176573 8.157 3.44e-16 ***
FID.x1509 0.2744383 0.0153653 17.861 < 2e-16 ***
FID.x1511 1.1622140 0.0150604 77.170 < 2e-16 ***
FID.x1512 1.8218134 0.0155473 117.179 < 2e-16 ***
FID.x1513 1.4199379 0.0157825 89.969 < 2e-16 ***
FID.x1523 -0.4450253 0.0187969 -23.675 < 2e-16 ***
FID.x1524 0.0052812 0.0155578 0.339 0.734263
FID.x1525 -0.1334534 0.0155707 -8.571 < 2e-16 ***
FID.x1526 -0.5326182 0.0163250 -32.626 < 2e-16 ***
FID.x1527 -0.9519339 0.0167543 -56.817 < 2e-16 ***
FID.x1528 -1.3617815 0.0188468 -72.255 < 2e-16 ***
FID.x1529 0.0388513 0.0159971 2.429 0.015155 *
FID.x1530 0.8468465 0.0153029 55.339 < 2e-16 ***
FID.x1531 0.4350000 0.0166596 26.111 < 2e-16 ***
FID.x1543 -0.0146040 0.0158807 -0.920 0.357779
FID.x1544 -0.1215074 0.0154629 -7.858 3.90e-15 ***
FID.x1545 0.3919136 0.0152108 25.766 < 2e-16 ***
FID.x1546 -0.5157802 0.0160318 -32.172 < 2e-16 ***
FID.x1547 0.7429381 0.0152387 48.754 < 2e-16 ***
FID.x1548 0.5735045 0.0154458 37.130 < 2e-16 ***
FID.x1549 1.1770604 0.0150563 78.177 < 2e-16 ***
FID.x155 -1.8834510 0.0777774 -24.216 < 2e-16 ***
FID.x1550 -1.1986504 0.0191212 -62.687 < 2e-16 ***
FID.x1551 1.4047924 0.0153908 91.275 < 2e-16 ***
FID.x1562 0.1684369 0.0155454 10.835 < 2e-16 ***
FID.x1563 0.0307517 0.0154076 1.996 0.045947 *
FID.x1564 -0.4588641 0.0156841 -29.257 < 2e-16 ***
FID.x1565 -2.3409891 0.0247855 -94.450 < 2e-16 ***
FID.x1566 0.1489587 0.0156168 9.538 < 2e-16 ***
FID.x1567 0.8590891 0.0151262 56.795 < 2e-16 ***
FID.x1568 0.5685649 0.0153378 37.070 < 2e-16 ***
FID.x1569 0.9995682 0.0152939 65.357 < 2e-16 ***
FID.x157 -2.9869270 0.0489487 -61.022 < 2e-16 ***
FID.x1570 2.6813396 0.0160454 167.109 < 2e-16 ***
FID.x158 -0.2096206 0.0174728 -11.997 < 2e-16 ***
FID.x1581 -1.0484714 0.0173180 -60.542 < 2e-16 ***
FID.x1582 -0.1092122 0.0154775 -7.056 1.71e-12 ***
FID.x1583 -0.9847764 0.0163147 -60.361 < 2e-16 ***
FID.x1584 -1.6566311 0.0180796 -91.630 < 2e-16 ***
FID.x1586 0.8824982 0.0151780 58.143 < 2e-16 ***
FID.x1587 1.2549197 0.0150500 83.383 < 2e-16 ***
FID.x1588 0.7330639 0.0153228 47.841 < 2e-16 ***
FID.x1589 0.7245559 0.0155990 46.449 < 2e-16 ***
FID.x159 0.7026344 0.0150023 46.835 < 2e-16 ***
FID.x1590 -0.8183469 0.0287574 -28.457 < 2e-16 ***
FID.x1600 -0.2394580 0.0157376 -15.216 < 2e-16 ***
FID.x1601 -0.3147344 0.0168691 -18.657 < 2e-16 ***
FID.x1602 -1.4187452 0.0176793 -80.249 < 2e-16 ***
FID.x1603 -2.6287183 0.0278005 -94.556 < 2e-16 ***
FID.x1605 0.5813827 0.0152849 38.036 < 2e-16 ***
FID.x1606 0.2454629 0.0156407 15.694 < 2e-16 ***
FID.x1607 1.4406952 0.0150835 95.515 < 2e-16 ***
FID.x1608 1.4976935 0.0152242 98.376 < 2e-16 ***
FID.x1609 1.2615970 0.0188379 66.971 < 2e-16 ***
FID.x1619 0.4106659 0.0154481 26.584 < 2e-16 ***
FID.x1620 -0.2871103 0.0159545 -17.996 < 2e-16 ***
FID.x1621 -0.2896626 0.0160278 -18.072 < 2e-16 ***
FID.x1622 -2.2524838 0.0198655 -113.387 < 2e-16 ***
FID.x1623 -2.5254638 0.0312687 -80.767 < 2e-16 ***
FID.x1624 -2.9547084 0.0359060 -82.290 < 2e-16 ***
FID.x1625 1.1105214 0.0152689 72.731 < 2e-16 ***
FID.x1626 1.0846720 0.0151954 71.382 < 2e-16 ***
FID.x1627 1.1117054 0.0152092 73.094 < 2e-16 ***
FID.x1628 0.3429828 0.0165411 20.735 < 2e-16 ***
FID.x1629 -0.5525029 0.0319275 -17.305 < 2e-16 ***
FID.x1638 -0.5496481 0.0163537 -33.610 < 2e-16 ***
FID.x1639 0.6162296 0.0151139 40.772 < 2e-16 ***
FID.x1640 0.4081382 0.0151943 26.861 < 2e-16 ***
FID.x1644 1.1556671 0.0154702 74.703 < 2e-16 ***
FID.x1645 0.9471908 0.0153355 61.765 < 2e-16 ***
FID.x1646 1.4632281 0.0151600 96.519 < 2e-16 ***
FID.x1647 -1.3563760 0.0365127 -37.148 < 2e-16 ***
FID.x1657 0.2335908 0.0155815 14.992 < 2e-16 ***
FID.x1658 -0.3195175 0.0158057 -20.215 < 2e-16 ***
FID.x1659 0.0161443 0.0153668 1.051 0.293444
FID.x1660 -0.6831761 0.0163920 -41.677 < 2e-16 ***
FID.x1662 -3.3477793 0.0626474 -53.438 < 2e-16 ***
FID.x1664 0.5744299 0.0160850 35.712 < 2e-16 ***
FID.x1665 2.2323697 0.0149643 149.180 < 2e-16 ***
FID.x1666 -1.8979084 0.0374697 -50.652 < 2e-16 ***
FID.x1667 2.1537917 0.0182633 117.930 < 2e-16 ***
FID.x1676 0.0596706 0.0154864 3.853 0.000117 ***
FID.x1677 0.3193623 0.0153899 20.751 < 2e-16 ***
FID.x1678 0.5967603 0.0152568 39.114 < 2e-16 ***
FID.x1681 -1.6513390 0.0293486 -56.266 < 2e-16 ***
FID.x1683 1.7399092 0.0169394 102.714 < 2e-16 ***
FID.x1684 1.1861002 0.0153916 77.062 < 2e-16 ***
FID.x1695 0.2687494 0.0158485 16.957 < 2e-16 ***
FID.x1696 -1.3693161 0.0191675 -71.439 < 2e-16 ***
FID.x1697 0.7229761 0.0178227 40.565 < 2e-16 ***
FID.x1698 0.3034389 0.0154339 19.661 < 2e-16 ***
FID.x1701 -3.3430191 0.0528313 -63.277 < 2e-16 ***
FID.x1703 1.0391517 0.0154888 67.091 < 2e-16 ***
FID.x1704 1.5299833 0.0172053 88.925 < 2e-16 ***
FID.x1714 0.3951992 0.0154046 25.655 < 2e-16 ***
FID.x1715 -1.3053837 0.0175800 -74.254 < 2e-16 ***
FID.x1716 -0.6164382 0.0170744 -36.103 < 2e-16 ***
FID.x1717 -4.9190297 0.1332936 -36.904 < 2e-16 ***
FID.x1720 -3.0863082 0.0607552 -50.799 < 2e-16 ***
FID.x1722 0.6111698 0.0171080 35.724 < 2e-16 ***
FID.x1734 -0.9833816 0.0171970 -57.183 < 2e-16 ***
FID.x1735 0.3996809 0.0157550 25.368 < 2e-16 ***
FID.x1736 0.2840069 0.0155423 18.273 < 2e-16 ***
FID.x1739 -1.8744818 0.0319595 -58.652 < 2e-16 ***
FID.x1741 0.7520848 0.0173324 43.392 < 2e-16 ***
FID.x1752 -0.2055982 0.0161289 -12.747 < 2e-16 ***
FID.x1753 0.3959781 0.0153344 25.823 < 2e-16 ***
FID.x1754 0.9825420 0.0152432 64.458 < 2e-16 ***
FID.x1757 -3.2734703 0.0492530 -66.462 < 2e-16 ***
FID.x176 -4.2337359 0.0824294 -51.362 < 2e-16 ***
FID.x177 -3.2857542 0.0443846 -74.029 < 2e-16 ***
FID.x1772 -0.6453970 0.0169195 -38.145 < 2e-16 ***
FID.x1773 1.3326318 0.0149760 88.985 < 2e-16 ***
FID.x1774 -0.2448689 0.0161434 -15.168 < 2e-16 ***
FID.x1775 0.7473024 0.0153023 48.836 < 2e-16 ***
FID.x1777 -4.2200255 0.0893714 -47.219 < 2e-16 ***
FID.x178 -3.8432546 0.1107204 -34.711 < 2e-16 ***
FID.x1790 -0.3301052 0.0165616 -19.932 < 2e-16 ***
FID.x1791 -2.0502670 0.0199724 -102.655 < 2e-16 ***
FID.x1792 0.3821071 0.0153153 24.949 < 2e-16 ***
FID.x1793 -0.5227226 0.0181286 -28.834 < 2e-16 ***
FID.x1794 0.6925231 0.0153200 45.204 < 2e-16 ***
FID.x1795 -0.5380972 0.0164640 -32.683 < 2e-16 ***
FID.x1796 0.1424808 0.0159462 8.935 < 2e-16 ***
FID.x1810 -0.0436824 0.0157809 -2.768 0.005639 **
FID.x1811 0.5195844 0.0151696 34.252 < 2e-16 ***
FID.x1812 0.1164083 0.0155235 7.499 6.44e-14 ***
FID.x1813 0.7880834 0.0152718 51.604 < 2e-16 ***
FID.x1814 0.6622732 0.0152731 43.362 < 2e-16 ***
FID.x1815 -0.7862947 0.0172680 -45.535 < 2e-16 ***
FID.x1816 -1.3775398 0.0215436 -63.942 < 2e-16 ***
FID.x1829 0.3545776 0.0157648 22.492 < 2e-16 ***
FID.x1830 0.7731543 0.0151529 51.024 < 2e-16 ***
FID.x1831 0.0899127 0.0154198 5.831 5.51e-09 ***
FID.x1832 0.1200723 0.0153949 7.799 6.22e-15 ***
FID.x1833 -1.2686758 0.0186055 -68.188 < 2e-16 ***
FID.x1834 1.0290485 0.0152347 67.546 < 2e-16 ***
FID.x1848 -0.3221255 0.0164695 -19.559 < 2e-16 ***
FID.x1849 0.3894348 0.0152847 25.479 < 2e-16 ***
FID.x1850 -4.1641601 0.0758163 -54.924 < 2e-16 ***
FID.x1851 0.3337331 0.0151971 21.960 < 2e-16 ***
FID.x1852 0.1480348 0.0155477 9.521 < 2e-16 ***
FID.x1853 0.3731854 0.0153985 24.235 < 2e-16 ***
FID.x1854 -0.6124548 0.0200474 -30.550 < 2e-16 ***
FID.x1867 0.3883915 0.0154727 25.102 < 2e-16 ***
FID.x1868 -1.1449864 0.0168273 -68.043 < 2e-16 ***
FID.x1869 -1.5881104 0.0252407 -62.919 < 2e-16 ***
FID.x1870 1.5823569 0.0149496 105.846 < 2e-16 ***
FID.x1871 -0.0367956 0.0161474 -2.279 0.022683 *
FID.x1872 0.2358713 0.0156790 15.044 < 2e-16 ***
FID.x1886 -0.7451591 0.0173269 -43.006 < 2e-16 ***
FID.x1887 0.6475548 0.0152468 42.472 < 2e-16 ***
FID.x1888 -0.7007607 0.0163077 -42.971 < 2e-16 ***
FID.x1889 -0.0020818 0.0153763 -0.135 0.892305
FID.x1890 -0.2935778 0.0160399 -18.303 < 2e-16 ***
FID.x1891 1.2604019 0.0150968 83.488 < 2e-16 ***
FID.x1892 -3.4108077 0.0686168 -49.708 < 2e-16 ***
FID.x1904 -2.8674334 0.1021097 -28.082 < 2e-16 ***
FID.x1905 -2.3954067 0.0237596 -100.818 < 2e-16 ***
FID.x1906 -1.3226906 0.0172777 -76.555 < 2e-16 ***
FID.x1907 -0.0072451 0.0156426 -0.463 0.643245
FID.x1908 0.0530275 0.0153657 3.451 0.000558 ***
FID.x1909 -0.4950509 0.0163195 -30.335 < 2e-16 ***
FID.x1910 -3.0041345 0.0401532 -74.817 < 2e-16 ***
FID.x1925 -1.4643852 0.0195549 -74.886 < 2e-16 ***
FID.x1926 -2.1197907 0.0205631 -103.087 < 2e-16 ***
FID.x1927 0.4857847 0.0152019 31.956 < 2e-16 ***
FID.x1928 0.8556189 0.0153601 55.704 < 2e-16 ***
FID.x1929 -0.1868362 0.0158299 -11.803 < 2e-16 ***
FID.x194 -2.9547773 0.0839212 -35.209 < 2e-16 ***
FID.x1943 -0.6150752 0.0183085 -33.595 < 2e-16 ***
FID.x1944 -2.2273055 0.0212807 -104.663 < 2e-16 ***
FID.x1945 0.3971208 0.0153822 25.817 < 2e-16 ***
FID.x1946 0.8704405 0.0151090 57.611 < 2e-16 ***
FID.x1947 1.0471741 0.0151663 69.046 < 2e-16 ***
FID.x1948 0.3538629 0.0157070 22.529 < 2e-16 ***
FID.x195 1.1638622 0.0154976 75.099 < 2e-16 ***
FID.x196 -1.6147721 0.0249740 -64.658 < 2e-16 ***
FID.x1964 -0.6131573 0.0162827 -37.657 < 2e-16 ***
FID.x1965 -0.4510227 0.0165748 -27.211 < 2e-16 ***
FID.x1966 0.0051844 0.0155537 0.333 0.738893
FID.x1967 0.3314612 0.0155875 21.264 < 2e-16 ***
FID.x1982 -1.1562297 0.0179474 -64.423 < 2e-16 ***
FID.x1983 -1.2412820 0.0181748 -68.297 < 2e-16 ***
FID.x1984 -0.2776299 0.0159028 -17.458 < 2e-16 ***
FID.x1985 0.1749050 0.0155284 11.264 < 2e-16 ***
FID.x1986 -0.4444031 0.0248376 -17.892 < 2e-16 ***
FID.x20 -3.6682731 0.1010121 -36.315 < 2e-16 ***
FID.x2001 -3.3732559 0.0812653 -41.509 < 2e-16 ***
FID.x2002 -3.3357036 0.0408308 -81.696 < 2e-16 ***
FID.x2003 -2.5944251 0.0285694 -90.811 < 2e-16 ***
FID.x2004 -0.1229167 0.0161129 -7.628 2.38e-14 ***
FID.x2005 -1.1652158 0.0181461 -64.213 < 2e-16 ***
FID.x2020 -2.8972513 0.0415602 -69.712 < 2e-16 ***
FID.x2021 -1.6309728 0.0246755 -66.097 < 2e-16 ***
FID.x2022 -1.3842087 0.0196763 -70.349 < 2e-16 ***
FID.x2023 -1.4232638 0.0193304 -73.628 < 2e-16 ***
FID.x2024 -3.5180311 0.0554651 -63.428 < 2e-16 ***
FID.x2041 -4.0419036 0.0524803 -77.018 < 2e-16 ***
FID.x2042 -1.6212316 0.0235963 -68.707 < 2e-16 ***
FID.x2043 -2.3341467 0.0226712 -102.957 < 2e-16 ***
FID.x2044 -2.5107154 0.0382372 -65.662 < 2e-16 ***
FID.x2060 -1.7028607 0.0419376 -40.605 < 2e-16 ***
FID.x2061 -0.3345745 0.0184958 -18.089 < 2e-16 ***
FID.x2062 -2.4662847 0.0240489 -102.553 < 2e-16 ***
FID.x2063 -4.2445301 0.1017157 -41.729 < 2e-16 ***
FID.x2078 0.2666213 0.0170652 15.624 < 2e-16 ***
FID.x2081 -3.6172618 0.0611449 -59.159 < 2e-16 ***
FID.x2082 -2.1035476 0.0234427 -89.732 < 2e-16 ***
FID.x2097 -1.6463144 0.0233682 -70.451 < 2e-16 ***
FID.x2098 -0.9227950 0.0178726 -51.632 < 2e-16 ***
FID.x2101 -1.0290173 0.0190450 -54.031 < 2e-16 ***
FID.x2114 -0.0756586 0.0228606 -3.310 0.000934 ***
FID.x2118 -0.4651152 0.0173254 -26.846 < 2e-16 ***
FID.x2120 -1.7533224 0.0203444 -86.182 < 2e-16 ***
FID.x2136 -1.1266178 0.0181402 -62.106 < 2e-16 ***
FID.x2139 -4.4004566 0.0661579 -66.514 < 2e-16 ***
FID.x214 -4.4553177 0.1569429 -28.388 < 2e-16 ***
FID.x215 -2.7972315 0.0530969 -52.682 < 2e-16 ***
FID.x2152 -0.9227863 0.0254123 -36.313 < 2e-16 ***
FID.x2157 -1.6996335 0.0207764 -81.806 < 2e-16 ***
FID.x216 -3.5060233 0.1587482 -22.085 < 2e-16 ***
FID.x2176 -2.0021910 0.0208260 -96.139 < 2e-16 ***
FID.x2177 -3.3743899 0.0364059 -92.688 < 2e-16 ***
FID.x2195 -2.4873046 0.0304256 -81.750 < 2e-16 ***
FID.x2196 -0.9526735 0.0183324 -51.967 < 2e-16 ***
FID.x2266 -0.7831691 0.0398658 -19.645 < 2e-16 ***
FID.x232 -3.9552667 0.0587902 -67.278 < 2e-16 ***
FID.x233 -2.0086721 0.0308485 -65.114 < 2e-16 ***
FID.x234 -2.6679155 0.0428654 -62.239 < 2e-16 ***
FID.x251 -3.1976464 0.0416623 -76.752 < 2e-16 ***
FID.x252 -3.5245555 0.0455069 -77.451 < 2e-16 ***
FID.x253 -2.9456047 0.0474637 -62.060 < 2e-16 ***
FID.x269 -6.6530764 0.3339597 -19.922 < 2e-16 ***
FID.x270 -4.0103956 0.0518977 -77.275 < 2e-16 ***
FID.x271 -0.0534685 0.0168545 -3.172 0.001512 **
FID.x289 -4.8231169 0.0655422 -73.588 < 2e-16 ***
FID.x290 -2.7868625 0.0730427 -38.154 < 2e-16 ***
FID.x291 -2.2217243 0.0487950 -45.532 < 2e-16 ***
FID.x307 -2.4326880 0.0315005 -77.227 < 2e-16 ***
FID.x308 -4.1043675 0.0466418 -87.998 < 2e-16 ***
FID.x309 -2.8791748 0.0436950 -65.893 < 2e-16 ***
FID.x328 -2.7530087 0.0399588 -68.896 < 2e-16 ***
FID.x329 -1.9596466 0.0302674 -64.744 < 2e-16 ***
FID.x346 -3.0211976 0.0345250 -87.508 < 2e-16 ***
FID.x347 -3.7390982 0.0540833 -69.136 < 2e-16 ***
FID.x348 -2.4997341 0.0483951 -51.653 < 2e-16 ***
FID.x365 -2.2562475 0.0374229 -60.291 < 2e-16 ***
FID.x366 -3.6711624 0.0507894 -72.282 < 2e-16 ***
FID.x367 1.8811659 0.0144106 130.541 < 2e-16 ***
FID.x368 -2.1893484 0.0477485 -45.852 < 2e-16 ***
FID.x369 -1.4138553 0.0271603 -52.056 < 2e-16 ***
FID.x384 -4.7757019 0.0894027 -53.418 < 2e-16 ***
FID.x385 -2.7923745 0.0328507 -85.002 < 2e-16 ***
FID.x386 -2.9602402 0.0381364 -77.622 < 2e-16 ***
FID.x387 -3.2355683 0.0792390 -40.833 < 2e-16 ***
FID.x388 -2.1658485 0.0270969 -79.930 < 2e-16 ***
FID.x39 -5.8936229 0.1402464 -42.023 < 2e-16 ***
FID.x403 -3.2538027 0.0608952 -53.433 < 2e-16 ***
FID.x404 -3.6226933 0.0468489 -77.327 < 2e-16 ***
FID.x405 -2.2659555 0.0313920 -72.182 < 2e-16 ***
FID.x406 1.0339941 0.0158069 65.414 < 2e-16 ***
FID.x407 -2.1443679 0.0245096 -87.491 < 2e-16 ***
FID.x41 -4.6079300 0.0886330 -51.989 < 2e-16 ***
FID.x423 -2.0108649 0.0312293 -64.390 < 2e-16 ***
FID.x424 -1.3431805 0.0226843 -59.212 < 2e-16 ***
FID.x425 1.0150027 0.0153464 66.139 < 2e-16 ***
FID.x426 -1.1358900 0.0218547 -51.975 < 2e-16 ***
FID.x441 -3.4646170 0.0594447 -58.283 < 2e-16 ***
FID.x442 -5.0657453 0.2504958 -20.223 < 2e-16 ***
FID.x443 -0.4341957 0.0184319 -23.557 < 2e-16 ***
FID.x444 0.0405351 0.0163266 2.483 0.013037 *
FID.x446 -4.5987395 0.1395186 -32.961 < 2e-16 ***
FID.x447 -2.6155407 0.0608631 -42.974 < 2e-16 ***
FID.x460 -3.3208780 0.0370160 -89.715 < 2e-16 ***
FID.x461 -2.7367017 0.0287702 -95.123 < 2e-16 ***
FID.x462 -1.0181079 0.0179706 -56.654 < 2e-16 ***
FID.x463 1.5733705 0.0148994 105.600 < 2e-16 ***
FID.x464 -1.8319834 0.0281866 -64.995 < 2e-16 ***
FID.x465 -1.9704435 0.0397480 -49.573 < 2e-16 ***
FID.x466 -3.5169545 0.1383715 -25.417 < 2e-16 ***
FID.x479 -4.3726486 0.0823158 -53.120 < 2e-16 ***
FID.x480 -2.1843968 0.0252689 -86.446 < 2e-16 ***
FID.x481 -2.5310687 0.0272137 -93.007 < 2e-16 ***
FID.x482 1.2954459 0.0149017 86.933 < 2e-16 ***
FID.x483 1.8675248 0.0150066 124.447 < 2e-16 ***
FID.x485 -1.4063201 0.0293335 -47.942 < 2e-16 ***
FID.x486 -3.4206508 0.1382555 -24.742 < 2e-16 ***
FID.x487 -3.5008308 0.2047679 -17.097 < 2e-16 ***
FID.x488 -4.6622448 0.5783972 -8.061 7.59e-16 ***
FID.x498 -4.3748122 0.0560549 -78.045 < 2e-16 ***
FID.x499 -1.8863973 0.0397262 -47.485 < 2e-16 ***
FID.x500 -2.4078322 0.0238778 -100.840 < 2e-16 ***
FID.x501 1.1935465 0.0149702 79.728 < 2e-16 ***
FID.x502 0.6307770 0.0161787 38.988 < 2e-16 ***
FID.x506 -2.8925809 0.0948707 -30.490 < 2e-16 ***
FID.x507 -0.5229651 0.0499119 -10.478 < 2e-16 ***
FID.x517 -5.5730587 0.2244038 -24.835 < 2e-16 ***
FID.x518 -3.8507276 0.0460817 -83.563 < 2e-16 ***
FID.x519 -2.3568768 0.0389122 -60.569 < 2e-16 ***
FID.x520 2.3363974 0.0147197 158.726 < 2e-16 ***
FID.x521 0.8530222 0.0153701 55.499 < 2e-16 ***
FID.x523 -3.8653359 0.1083032 -35.690 < 2e-16 ***
FID.x527 -3.5393664 0.1084117 -32.647 < 2e-16 ***
FID.x528 -3.6792431 0.1972193 -18.656 < 2e-16 ***
FID.x529 -0.3143759 0.0573681 -5.480 4.25e-08 ***
FID.x536 -2.5188860 0.0516931 -48.728 < 2e-16 ***
FID.x537 -2.7040694 0.0299225 -90.369 < 2e-16 ***
FID.x538 -2.5118237 0.0245537 -102.299 < 2e-16 ***
FID.x539 0.6013367 0.0151779 39.619 < 2e-16 ***
FID.x540 -2.1912949 0.0606695 -36.119 < 2e-16 ***
FID.x546 -2.9034430 0.1099925 -26.397 < 2e-16 ***
FID.x547 -4.6768448 0.2684500 -17.422 < 2e-16 ***
FID.x556 -3.9305825 0.0463538 -84.795 < 2e-16 ***
FID.x557 -2.8072334 0.0325311 -86.294 < 2e-16 ***
FID.x558 -1.9820811 0.0226770 -87.405 < 2e-16 ***
FID.x559 1.2670324 0.0150626 84.118 < 2e-16 ***
FID.x561 -1.6820355 0.0356441 -47.190 < 2e-16 ***
FID.x576 -3.1042554 0.0418433 -74.188 < 2e-16 ***
FID.x577 0.7417981 0.0151669 48.909 < 2e-16 ***
FID.x59 -5.3006423 0.1276424 -41.527 < 2e-16 ***
FID.x594 -1.3887962 0.0219347 -63.315 < 2e-16 ***
FID.x595 0.0729720 0.0159375 4.579 4.68e-06 ***
FID.x596 0.2932825 0.0155634 18.844 < 2e-16 ***
FID.x597 1.4661289 0.0149676 97.954 < 2e-16 ***
FID.x599 1.3779004 0.0164935 83.542 < 2e-16 ***
FID.x60 -2.4362394 0.0294204 -82.808 < 2e-16 ***
FID.x61 -5.2726250 0.1299656 -40.569 < 2e-16 ***
FID.x612 -1.4878982 0.0269450 -55.220 < 2e-16 ***
FID.x613 -3.5733764 0.0460166 -77.654 < 2e-16 ***
FID.x614 1.3005059 0.0150540 86.389 < 2e-16 ***
FID.x615 1.5494437 0.0150397 103.024 < 2e-16 ***
FID.x616 0.2576963 0.0168621 15.283 < 2e-16 ***
FID.x632 -1.9521322 0.0265204 -73.609 < 2e-16 ***
FID.x633 0.2441995 0.0158242 15.432 < 2e-16 ***
FID.x634 0.1562095 0.0158476 9.857 < 2e-16 ***
FID.x635 1.2665705 0.0150204 84.323 < 2e-16 ***
FID.x637 -1.6951214 0.0352163 -48.135 < 2e-16 ***
FID.x653 -1.8988922 0.0230887 -82.243 < 2e-16 ***
FID.x656 -2.3970147 0.0459976 -52.112 < 2e-16 ***
FID.x670 -1.4708964 0.0220755 -66.630 < 2e-16 ***
FID.x672 -1.2130858 0.0190877 -63.553 < 2e-16 ***
FID.x673 0.8577979 0.0152647 56.195 < 2e-16 ***
FID.x688 -2.0131386 0.0309989 -64.942 < 2e-16 ***
FID.x689 0.0402553 0.0162964 2.470 0.013504 *
FID.x690 -2.7649269 0.0312194 -88.565 < 2e-16 ***
FID.x691 1.3537323 0.0150115 90.180 < 2e-16 ***
FID.x692 0.3095638 0.0167445 18.487 < 2e-16 ***
FID.x694 2.3663714 0.0151483 156.214 < 2e-16 ***
FID.x699 -2.8466966 0.0737842 -38.581 < 2e-16 ***
FID.x709 -2.5961735 0.0276467 -93.905 < 2e-16 ***
FID.x710 0.4340945 0.0152574 28.451 < 2e-16 ***
FID.x711 0.1747520 0.0157995 11.061 < 2e-16 ***
FID.x712 0.7901421 0.0163133 48.435 < 2e-16 ***
FID.x713 1.6025701 0.0156152 102.629 < 2e-16 ***
FID.x714 0.0073811 0.0180361 0.409 0.682362
FID.x726 -3.5467962 0.0510483 -69.479 < 2e-16 ***
FID.x727 1.0721750 0.0152408 70.349 < 2e-16 ***
FID.x728 1.0599430 0.0150342 70.502 < 2e-16 ***
FID.x729 0.7776624 0.0152397 51.029 < 2e-16 ***
FID.x730 1.6847961 0.0152933 110.166 < 2e-16 ***
FID.x731 0.0292843 0.0182449 1.605 0.108479
FID.x732 1.7488066 0.0150830 115.946 < 2e-16 ***
FID.x733 1.0491556 0.0157665 66.543 < 2e-16 ***
FID.x737 -1.0684940 0.0316715 -33.737 < 2e-16 ***
FID.x745 -2.8743123 0.0412105 -69.747 < 2e-16 ***
FID.x747 -1.2665748 0.0177031 -71.546 < 2e-16 ***
FID.x748 0.7246079 0.0151517 47.824 < 2e-16 ***
FID.x749 1.1190131 0.0151011 74.101 < 2e-16 ***
FID.x750 1.1797896 0.0153414 76.902 < 2e-16 ***
FID.x751 1.3883975 0.0155618 89.218 < 2e-16 ***
FID.x752 2.2815953 0.0149621 152.492 < 2e-16 ***
FID.x753 1.4818547 0.0160325 92.428 < 2e-16 ***
FID.x756 -1.5379868 0.0330978 -46.468 < 2e-16 ***
FID.x763 -4.0877706 0.0793400 -51.522 < 2e-16 ***
FID.x765 0.1885774 0.0155458 12.130 < 2e-16 ***
FID.x766 -0.7389076 0.0171081 -43.191 < 2e-16 ***
FID.x767 0.5128254 0.0153864 33.330 < 2e-16 ***
FID.x768 -0.3039168 0.0165820 -18.328 < 2e-16 ***
FID.x769 0.6732148 0.0156139 43.116 < 2e-16 ***
FID.x77 -4.5821160 0.0767840 -59.675 < 2e-16 ***
FID.x770 1.1840885 0.0152420 77.686 < 2e-16 ***
FID.x771 0.7488876 0.0159318 47.006 < 2e-16 ***
FID.x772 2.6968003 0.0153268 175.954 < 2e-16 ***
FID.x773 -1.0389970 0.0298887 -34.762 < 2e-16 ***
FID.x774 -2.3998619 0.0459704 -52.205 < 2e-16 ***
FID.x775 -0.6051134 0.0235750 -25.668 < 2e-16 ***
FID.x78 -3.8015698 0.0830745 -45.761 < 2e-16 ***
FID.x783 -2.3722964 0.0351844 -67.425 < 2e-16 ***
FID.x784 -1.0639157 0.0188157 -56.544 < 2e-16 ***
FID.x785 -1.8019209 0.0228815 -78.750 < 2e-16 ***
FID.x786 0.8567239 0.0158099 54.189 < 2e-16 ***
FID.x787 1.6514646 0.0149402 110.538 < 2e-16 ***
FID.x788 1.5190347 0.0158198 96.021 < 2e-16 ***
FID.x789 -0.5503340 0.0181872 -30.259 < 2e-16 ***
FID.x79 -1.8036423 0.0240487 -75.000 < 2e-16 ***
FID.x790 -0.3969134 0.0177775 -22.327 < 2e-16 ***
FID.x791 -0.1168323 0.0167530 -6.974 3.08e-12 ***
FID.x792 -2.9186549 0.0737017 -39.601 < 2e-16 ***
FID.x793 -2.1265270 0.0348504 -61.019 < 2e-16 ***
FID.x794 -2.5189853 0.0427980 -58.858 < 2e-16 ***
FID.x80 -3.3650781 0.0512096 -65.712 < 2e-16 ***
FID.x802 -1.6165198 0.0198792 -81.317 < 2e-16 ***
FID.x803 -0.1091323 0.0161464 -6.759 1.39e-11 ***
FID.x804 -3.3326145 0.0369171 -90.273 < 2e-16 ***
FID.x805 1.0918674 0.0150960 72.328 < 2e-16 ***
FID.x806 -0.2204863 0.0184992 -11.919 < 2e-16 ***
FID.x808 1.2542511 0.0151724 82.666 < 2e-16 ***
FID.x809 -0.6494276 0.0182293 -35.625 < 2e-16 ***
FID.x81 -3.2343896 0.1334742 -24.232 < 2e-16 ***
FID.x810 -1.0771259 0.0211005 -51.048 < 2e-16 ***
FID.x811 -2.0065901 0.0292931 -68.500 < 2e-16 ***
FID.x812 -3.9414516 0.0656317 -60.054 < 2e-16 ***
FID.x813 -1.6146215 0.0327285 -49.334 < 2e-16 ***
FID.x821 -0.1474494 0.0189295 -7.789 6.73e-15 ***
FID.x822 -0.1160051 0.0156695 -7.403 1.33e-13 ***
FID.x823 -2.1748271 0.0225359 -96.505 < 2e-16 ***
FID.x824 -0.6939605 0.0169930 -40.838 < 2e-16 ***
FID.x825 0.8187200 0.0152416 53.716 < 2e-16 ***
FID.x828 1.1419357 0.0152626 74.819 < 2e-16 ***
FID.x830 0.5990855 0.0164122 36.502 < 2e-16 ***
FID.x831 -2.8952032 0.0390329 -74.173 < 2e-16 ***
FID.x832 -0.2267293 0.0172955 -13.109 < 2e-16 ***
FID.x839 -1.2239435 0.0198826 -61.559 < 2e-16 ***
FID.x840 0.2524500 0.0153238 16.474 < 2e-16 ***
FID.x841 1.1323731 0.0149548 75.720 < 2e-16 ***
FID.x842 -1.8837208 0.0220935 -85.261 < 2e-16 ***
FID.x843 -1.4716441 0.0227363 -64.727 < 2e-16 ***
FID.x844 0.7138106 0.0156484 45.615 < 2e-16 ***
FID.x845 -1.7153445 0.0225080 -76.210 < 2e-16 ***
FID.x846 2.0086192 0.0149505 134.352 < 2e-16 ***
FID.x849 -5.3966211 0.2137494 -25.247 < 2e-16 ***
FID.x850 2.1510396 0.0151971 141.543 < 2e-16 ***
FID.x851 -3.5164154 0.0622497 -56.489 < 2e-16 ***
FID.x858 -1.3318403 0.0192960 -69.022 < 2e-16 ***
FID.x859 0.7280780 0.0154148 47.233 < 2e-16 ***
FID.x860 1.5905422 0.0148886 106.829 < 2e-16 ***
FID.x861 -1.7646161 0.0254321 -69.385 < 2e-16 ***
FID.x862 -0.5283921 0.0173574 -30.442 < 2e-16 ***
FID.x863 -1.6913994 0.0220625 -76.664 < 2e-16 ***
FID.x864 0.5729699 0.0156496 36.612 < 2e-16 ***
FID.x865 -1.0213480 0.0184752 -55.282 < 2e-16 ***
FID.x866 1.1585032 0.0156959 73.810 < 2e-16 ***
FID.x868 -2.7826715 0.0506867 -54.899 < 2e-16 ***
FID.x870 -2.8334147 0.0332240 -85.282 < 2e-16 ***
FID.x871 -7.2782727 1.0001139 -7.277 3.40e-13 ***
FID.x877 -0.9460903 0.0166273 -56.900 < 2e-16 ***
FID.x878 0.4467724 0.0151180 29.552 < 2e-16 ***
FID.x879 0.2640658 0.0153598 17.192 < 2e-16 ***
FID.x881 -0.0531300 0.0163203 -3.255 0.001132 **
FID.x882 -0.3996862 0.0170542 -23.436 < 2e-16 ***
FID.x883 -1.7154729 0.0221663 -77.391 < 2e-16 ***
FID.x884 1.4960121 0.0151051 99.040 < 2e-16 ***
FID.x885 1.3630132 0.0161966 84.154 < 2e-16 ***
FID.x889 -1.5173107 0.0204851 -74.069 < 2e-16 ***
FID.x890 3.1130147 0.0152054 204.731 < 2e-16 ***
FID.x896 -0.8592684 0.0170654 -50.352 < 2e-16 ***
FID.x897 -0.6223665 0.0161428 -38.554 < 2e-16 ***
FID.x898 -0.8449762 0.0163345 -51.730 < 2e-16 ***
FID.x899 -1.3630106 0.0181420 -75.130 < 2e-16 ***
FID.x900 0.1661791 0.0156356 10.628 < 2e-16 ***
FID.x901 -0.1116382 0.0164006 -6.807 9.97e-12 ***
FID.x902 -1.5174437 0.0326581 -46.465 < 2e-16 ***
FID.x903 1.6091275 0.0151409 106.277 < 2e-16 ***
FID.x904 1.6361355 0.0156492 104.551 < 2e-16 ***
FID.x906 -1.4846586 0.0287420 -51.655 < 2e-16 ***
FID.x908 1.2026173 0.0152879 78.665 < 2e-16 ***
FID.x909 2.0331283 0.0150572 135.027 < 2e-16 ***
FID.x914 -2.7980553 0.0335165 -83.483 < 2e-16 ***
FID.x915 -2.8914456 0.0350229 -82.559 < 2e-16 ***
FID.x916 -2.0887008 0.0215445 -96.948 < 2e-16 ***
FID.x917 -1.3287861 0.0180427 -73.647 < 2e-16 ***
FID.x918 -1.9759226 0.0215214 -91.812 < 2e-16 ***
FID.x919 -0.0993098 0.0161981 -6.131 8.74e-10 ***
FID.x921 0.4505152 0.0176349 25.547 < 2e-16 ***
FID.x922 2.0681797 0.0153999 134.298 < 2e-16 ***
FID.x926 0.0716527 0.0173845 4.122 3.76e-05 ***
FID.x927 1.1729594 0.0153612 76.359 < 2e-16 ***
FID.x928 -3.5286858 0.0504816 -69.900 < 2e-16 ***
FID.x934 -1.4463551 0.0183717 -78.727 < 2e-16 ***
FID.x935 -0.5433224 0.0162762 -33.381 < 2e-16 ***
FID.x936 0.1716350 0.0155848 11.013 < 2e-16 ***
FID.x937 -1.7071399 0.0201029 -84.920 < 2e-16 ***
FID.x938 -0.5494954 0.0161743 -33.973 < 2e-16 ***
FID.x944 -1.5341096 0.0290881 -52.740 < 2e-16 ***
FID.x946 0.8000480 0.0153556 52.101 < 2e-16 ***
FID.x947 0.6569409 0.0155173 42.336 < 2e-16 ***
FID.x952 0.0205593 0.0157514 1.305 0.191813
FID.x953 -0.9629883 0.0165780 -58.088 < 2e-16 ***
FID.x954 0.0558100 0.0155288 3.594 0.000326 ***
FID.x955 -0.9379445 0.0172334 -54.426 < 2e-16 ***
FID.x963 -4.3193721 0.2504710 -17.245 < 2e-16 ***
FID.x965 0.5666472 0.0155395 36.465 < 2e-16 ***
FID.x966 1.3541420 0.0155358 87.162 < 2e-16 ***
FID.x971 -0.6536134 0.0164821 -39.656 < 2e-16 ***
FID.x972 -1.3099766 0.0177677 -73.728 < 2e-16 ***
FID.x973 -1.2586191 0.0169893 -74.083 < 2e-16 ***
FID.x974 -1.0477695 0.0176693 -59.299 < 2e-16 ***
FID.x976 0.4690870 0.0154649 30.332 < 2e-16 ***
FID.x98 -3.7194870 0.1004828 -37.016 < 2e-16 ***
FID.x982 -5.4452032 0.1423707 -38.247 < 2e-16 ***
FID.x984 0.4268725 0.0158314 26.964 < 2e-16 ***
FID.x985 -1.1847295 0.0188587 -62.822 < 2e-16 ***
FID.x989 -2.5564626 0.0459723 -55.609 < 2e-16 ***
FID.x99 -3.4254907 0.0736844 -46.489 < 2e-16 ***
FID.x990 -2.9218342 0.0359620 -81.248 < 2e-16 ***
FID.x991 -1.2787409 0.0252023 -50.739 < 2e-16 ***
FID.x992 0.8471705 0.0150850 56.160 < 2e-16 ***
FID.x993 -1.6333883 0.0231697 -70.497 < 2e-16 ***
FID.x994 -0.2662966 0.0161008 -16.539 < 2e-16 ***
FID.y1000 -0.3743059 0.0154325 -24.254 < 2e-16 ***
FID.y1001 -5.4418265 0.0857688 -63.448 < 2e-16 ***
FID.y1002 -2.1437116 0.0146655 -146.174 < 2e-16 ***
FID.y1003 0.0628918 0.0128213 4.905 9.33e-07 ***
FID.y1004 -3.8381231 0.0205750 -186.543 < 2e-16 ***
FID.y1009 -1.8397660 0.0151716 -121.263 < 2e-16 ***
FID.y101 -3.5106014 0.0324813 -108.081 < 2e-16 ***
FID.y1010 -1.2714976 0.0142958 -88.942 < 2e-16 ***
FID.y1011 -3.0694957 0.0215993 -142.111 < 2e-16 ***
FID.y1012 -2.6836121 0.0161558 -166.108 < 2e-16 ***
FID.y1013 -3.2525395 0.0207880 -156.463 < 2e-16 ***
FID.y1022 -2.9546884 0.0148296 -199.242 < 2e-16 ***
FID.y1023 -2.2972533 0.0137923 -166.560 < 2e-16 ***
FID.y1024 -0.5313195 0.0134133 -39.611 < 2e-16 ***
FID.y1027 -0.5119337 0.0133869 -38.242 < 2e-16 ***
FID.y1029 -2.9673731 0.0208644 -142.222 < 2e-16 ***
FID.y1030 -2.1239145 0.0142717 -148.820 < 2e-16 ***
FID.y1032 -2.1721276 0.0146209 -148.563 < 2e-16 ***
FID.y1039 -3.3175981 0.0318033 -104.316 < 2e-16 ***
FID.y1040 -3.3628484 0.0182705 -184.058 < 2e-16 ***
FID.y1041 -2.9440136 0.0142606 -206.443 < 2e-16 ***
FID.y1042 -2.2461655 0.0141941 -158.246 < 2e-16 ***
FID.y1047 -2.4730153 0.0162199 -152.468 < 2e-16 ***
FID.y1048 -2.3622123 0.0151885 -155.527 < 2e-16 ***
FID.y1049 -0.8358900 0.0131577 -63.529 < 2e-16 ***
FID.y1060 -1.9969116 0.0139084 -143.576 < 2e-16 ***
FID.y1061 -0.6915086 0.0129994 -53.195 < 2e-16 ***
FID.y1062 -1.2464478 0.0135641 -91.893 < 2e-16 ***
FID.y1063 -3.5493042 0.0434249 -81.734 < 2e-16 ***
FID.y1065 -0.3041181 0.0130429 -23.317 < 2e-16 ***
FID.y1066 -1.3194099 0.0135285 -97.528 < 2e-16 ***
FID.y1067 -1.3223528 0.0134245 -98.503 < 2e-16 ***
FID.y1068 -2.5734202 0.0153266 -167.905 < 2e-16 ***
FID.y1070 -1.0632840 0.0133896 -79.411 < 2e-16 ***
FID.y1077 -3.3568751 0.0312935 -107.271 < 2e-16 ***
FID.y1079 -2.0726888 0.0137279 -150.984 < 2e-16 ***
FID.y1080 -1.8758984 0.0137330 -136.598 < 2e-16 ***
FID.y1081 -1.3023089 0.0139465 -93.379 < 2e-16 ***
FID.y1085 -1.6557654 0.0143432 -115.439 < 2e-16 ***
FID.y1086 -1.9612017 0.0144640 -135.592 < 2e-16 ***
FID.y1088 -2.0001510 0.0146839 -136.214 < 2e-16 ***
FID.y1089 -2.2896398 0.0152296 -150.341 < 2e-16 ***
FID.y1096 -6.6440814 0.2777662 -23.920 < 2e-16 ***
FID.y1099 -2.9437463 0.0151987 -193.683 < 2e-16 ***
FID.y1100 -2.5056105 0.0167866 -149.262 < 2e-16 ***
FID.y1101 -1.8011765 0.0159665 -112.810 < 2e-16 ***
FID.y1103 -1.4758481 0.0138916 -106.240 < 2e-16 ***
FID.y1104 -0.9075212 0.0132023 -68.740 < 2e-16 ***
FID.y1105 -2.2100279 0.0175565 -125.881 < 2e-16 ***
FID.y1106 -2.6396947 0.0166819 -158.237 < 2e-16 ***
FID.y1107 -2.0732305 0.0147599 -140.464 < 2e-16 ***
FID.y1114 -4.5954449 0.0587065 -78.278 < 2e-16 ***
FID.y1115 -2.7362697 0.0274652 -99.627 < 2e-16 ***
FID.y1118 -2.1598782 0.0139639 -154.676 < 2e-16 ***
FID.y1119 -2.1901369 0.0150953 -145.087 < 2e-16 ***
FID.y1122 -2.8352682 0.0170083 -166.699 < 2e-16 ***
FID.y1123 -2.3848263 0.0153709 -155.152 < 2e-16 ***
FID.y1124 -1.2721979 0.0135403 -93.956 < 2e-16 ***
FID.y1127 -2.3460337 0.0150632 -155.746 < 2e-16 ***
FID.y1137 -2.8571433 0.0152256 -187.654 < 2e-16 ***
FID.y1138 -1.7124492 0.0140759 -121.658 < 2e-16 ***
FID.y1139 -0.8571698 0.0136795 -62.661 < 2e-16 ***
FID.y1141 -3.0324353 0.0177181 -171.149 < 2e-16 ***
FID.y1142 -0.7577506 0.0130299 -58.155 < 2e-16 ***
FID.y1143 -1.6919179 0.0145634 -116.176 < 2e-16 ***
FID.y1144 -1.7089795 0.0146855 -116.372 < 2e-16 ***
FID.y1145 -1.6396811 0.0142081 -115.405 < 2e-16 ***
FID.y1146 -3.0096074 0.0203035 -148.231 < 2e-16 ***
FID.y115 0.1360063 0.0264163 5.149 2.62e-07 ***
FID.y1151 -6.7901284 0.1111963 -61.064 < 2e-16 ***
FID.y1152 -1.7939395 0.0145304 -123.461 < 2e-16 ***
FID.y1156 -1.5762669 0.0134250 -117.413 < 2e-16 ***
FID.y1157 -1.9520699 0.0140766 -138.675 < 2e-16 ***
FID.y116 -5.4118058 0.1138917 -47.517 < 2e-16 ***
FID.y1160 -0.2865595 0.0130221 -22.006 < 2e-16 ***
FID.y1161 -0.7465822 0.0131508 -56.771 < 2e-16 ***
FID.y1162 -1.0169592 0.0133420 -76.222 < 2e-16 ***
FID.y1163 -1.9947436 0.0157985 -126.261 < 2e-16 ***
FID.y1166 -4.3379372 0.0391943 -110.678 < 2e-16 ***
FID.y117 -1.8685754 0.0250083 -74.718 < 2e-16 ***
FID.y1170 -5.8312877 0.0722107 -80.754 < 2e-16 ***
FID.y1171 -1.8116883 0.0152349 -118.917 < 2e-16 ***
FID.y1172 -4.1110582 0.0254941 -161.255 < 2e-16 ***
FID.y1175 -2.4454447 0.0144237 -169.543 < 2e-16 ***
FID.y1176 -2.6480589 0.0154606 -171.278 < 2e-16 ***
FID.y1179 -1.4151886 0.0138765 -101.985 < 2e-16 ***
FID.y118 -2.3471417 0.0273710 -85.753 < 2e-16 ***
FID.y1180 -1.2348107 0.0132598 -93.124 < 2e-16 ***
FID.y1182 -2.7216508 0.0229126 -118.784 < 2e-16 ***
FID.y1183 -1.3926566 0.0136717 -101.864 < 2e-16 ***
FID.y1185 -6.5890601 0.1894092 -34.787 < 2e-16 ***
FID.y119 -1.5553595 0.0195020 -79.754 < 2e-16 ***
FID.y1191 -3.7748793 0.0201086 -187.725 < 2e-16 ***
FID.y1192 -3.7929406 0.0181578 -208.888 < 2e-16 ***
FID.y1193 -3.9513542 0.0201663 -195.938 < 2e-16 ***
FID.y1194 -1.0568290 0.0131638 -80.283 < 2e-16 ***
FID.y1195 -3.1932209 0.0184506 -173.068 < 2e-16 ***
FID.y1197 -1.1779875 0.0200112 -58.866 < 2e-16 ***
FID.y1198 -3.2247037 0.0189153 -170.481 < 2e-16 ***
FID.y1199 -1.6167319 0.0137252 -117.793 < 2e-16 ***
FID.y120 -2.0132478 0.0172571 -116.662 < 2e-16 ***
FID.y1200 -1.4505459 0.0136019 -106.643 < 2e-16 ***
FID.y1201 -1.6225685 0.0140749 -115.281 < 2e-16 ***
FID.y1202 -1.7851464 0.0151860 -117.552 < 2e-16 ***
FID.y1203 -0.5607340 0.0135607 -41.350 < 2e-16 ***
FID.y1204 -6.7527226 0.2585156 -26.121 < 2e-16 ***
FID.y1206 -3.1823278 0.0200268 -158.904 < 2e-16 ***
FID.y1207 -2.7890536 0.0179150 -155.683 < 2e-16 ***
FID.y1208 -1.1348373 0.0137557 -82.499 < 2e-16 ***
FID.y1209 -4.9765856 0.0572590 -86.914 < 2e-16 ***
FID.y121 -1.8862949 0.0165899 -113.702 < 2e-16 ***
FID.y1210 -4.6267577 0.0319167 -144.964 < 2e-16 ***
FID.y1211 -5.0723697 0.0292782 -173.247 < 2e-16 ***
FID.y1212 -1.3560142 0.0132093 -102.656 < 2e-16 ***
FID.y1213 -2.7629598 0.0155834 -177.301 < 2e-16 ***
FID.y1214 -6.7153060 0.0971010 -69.158 < 2e-16 ***
FID.y1217 -1.6387439 0.0144404 -113.483 < 2e-16 ***
FID.y1218 -0.3840211 0.0130993 -29.316 < 2e-16 ***
FID.y1219 -1.8004437 0.0141702 -127.058 < 2e-16 ***
FID.y1220 -0.8901085 0.0135852 -65.520 < 2e-16 ***
FID.y1221 -2.5328101 0.0177380 -142.790 < 2e-16 ***
FID.y1224 -1.6818029 0.0139839 -120.267 < 2e-16 ***
FID.y1225 -3.0290575 0.0172029 -176.079 < 2e-16 ***
FID.y1226 -2.8772266 0.0166635 -172.667 < 2e-16 ***
FID.y1228 -3.4766940 0.0224453 -154.896 < 2e-16 ***
FID.y1229 -1.3732785 0.0132009 -104.029 < 2e-16 ***
FID.y1230 -2.7781938 0.0142603 -194.820 < 2e-16 ***
FID.y1231 -2.9471936 0.0146377 -201.342 < 2e-16 ***
FID.y1232 -2.6145519 0.0154103 -169.663 < 2e-16 ***
FID.y1233 -4.1505156 0.0317025 -130.921 < 2e-16 ***
FID.y1237 -2.4849709 0.0153842 -161.527 < 2e-16 ***
FID.y1238 -2.3927273 0.0152017 -157.399 < 2e-16 ***
FID.y1239 -0.6814581 0.0130740 -52.123 < 2e-16 ***
FID.y1240 -1.8071808 0.0146899 -123.022 < 2e-16 ***
FID.y1241 -1.7542544 0.0143489 -122.257 < 2e-16 ***
FID.y1242 -4.6419636 0.0348072 -133.362 < 2e-16 ***
FID.y1243 -3.4225686 0.0189634 -180.483 < 2e-16 ***
FID.y1244 -1.5717614 0.0145212 -108.239 < 2e-16 ***
FID.y1245 -3.3599922 0.0210823 -159.375 < 2e-16 ***
FID.y1248 -6.0275536 0.0644021 -93.592 < 2e-16 ***
FID.y1249 -0.7186558 0.0129414 -55.531 < 2e-16 ***
FID.y1250 -0.5470873 0.0128988 -42.414 < 2e-16 ***
FID.y1251 -1.3362507 0.0134492 -99.355 < 2e-16 ***
FID.y1252 -4.1996817 0.0233591 -179.788 < 2e-16 ***
FID.y1255 -1.7091483 0.0140602 -121.559 < 2e-16 ***
FID.y1256 -2.0156768 0.0144745 -139.257 < 2e-16 ***
FID.y1257 -1.7193713 0.0142895 -120.324 < 2e-16 ***
FID.y1258 -1.0277158 0.0134940 -76.161 < 2e-16 ***
FID.y1259 -1.7939999 0.0176625 -101.571 < 2e-16 ***
FID.y1260 -2.3482462 0.0151859 -154.633 < 2e-16 ***
FID.y1261 -1.5912601 0.0136314 -116.735 < 2e-16 ***
FID.y1262 -2.2589432 0.0143646 -157.258 < 2e-16 ***
FID.y1263 -1.6404202 0.0136446 -120.225 < 2e-16 ***
FID.y1264 -2.5328951 0.0147086 -172.205 < 2e-16 ***
FID.y1265 -2.9211174 0.0187305 -155.955 < 2e-16 ***
FID.y1267 -3.5113240 0.0168493 -208.395 < 2e-16 ***
FID.y1268 -1.6805178 0.0131045 -128.239 < 2e-16 ***
FID.y1269 -2.4314212 0.0137885 -176.337 < 2e-16 ***
FID.y1271 -2.8602184 0.0253446 -112.853 < 2e-16 ***
FID.y1275 -0.7242374 0.0131435 -55.102 < 2e-16 ***
FID.y1276 -1.5809411 0.0143084 -110.491 < 2e-16 ***
FID.y1277 -0.9453718 0.0132120 -71.554 < 2e-16 ***
FID.y1278 -1.4031909 0.0136716 -102.635 < 2e-16 ***
FID.y1279 -1.8540822 0.0138477 -133.891 < 2e-16 ***
FID.y1280 -1.5892520 0.0136813 -116.162 < 2e-16 ***
FID.y1281 -2.0508805 0.0142700 -143.720 < 2e-16 ***
FID.y1282 -2.0588586 0.0137921 -149.278 < 2e-16 ***
FID.y1283 -2.0231775 0.0138006 -146.601 < 2e-16 ***
FID.y1284 -2.4538655 0.0147805 -166.021 < 2e-16 ***
FID.y1287 -2.8568035 0.0141018 -202.584 < 2e-16 ***
FID.y1288 -2.3106443 0.0137079 -168.563 < 2e-16 ***
FID.y1293 -0.9815945 0.0134830 -72.803 < 2e-16 ***
FID.y1294 -0.5715418 0.0130775 -43.704 < 2e-16 ***
FID.y1295 -1.0074577 0.0132149 -76.236 < 2e-16 ***
FID.y1296 -1.9179603 0.0155744 -123.148 < 2e-16 ***
FID.y1297 -0.9036399 0.0132185 -68.362 < 2e-16 ***
FID.y1298 -1.4902101 0.0134165 -111.073 < 2e-16 ***
FID.y1299 -2.8029666 0.0162496 -172.494 < 2e-16 ***
FID.y1300 -2.1638855 0.0140746 -153.743 < 2e-16 ***
FID.y1301 -1.6464191 0.0132805 -123.973 < 2e-16 ***
FID.y1302 -0.8557549 0.0130701 -65.474 < 2e-16 ***
FID.y1303 -1.5155823 0.0140058 -108.211 < 2e-16 ***
FID.y1305 -4.4773015 0.0208085 -215.167 < 2e-16 ***
FID.y1306 -2.7095149 0.0139725 -193.917 < 2e-16 ***
FID.y1307 -1.6988615 0.0140275 -121.110 < 2e-16 ***
FID.y1313 -0.3443432 0.0129756 -26.538 < 2e-16 ***
FID.y1314 -1.1475566 0.0135147 -84.912 < 2e-16 ***
FID.y1315 -2.2312199 0.0167928 -132.867 < 2e-16 ***
FID.y1316 -1.7118225 0.0143824 -119.022 < 2e-16 ***
FID.y1317 -1.6896572 0.0138165 -122.293 < 2e-16 ***
FID.y1318 -1.0924289 0.0133464 -81.852 < 2e-16 ***
FID.y1319 -0.1927466 0.0128457 -15.005 < 2e-16 ***
FID.y1320 -2.9389595 0.0149484 -196.607 < 2e-16 ***
FID.y1321 -1.7517785 0.0133241 -131.475 < 2e-16 ***
FID.y1322 -1.9030333 0.0142041 -133.977 < 2e-16 ***
FID.y1325 -2.8538561 0.0145129 -196.643 < 2e-16 ***
FID.y1326 -3.5893218 0.0164474 -218.230 < 2e-16 ***
FID.y1331 -1.4055898 0.0144111 -97.535 < 2e-16 ***
FID.y1332 -0.4988873 0.0130894 -38.114 < 2e-16 ***
FID.y1333 -0.7072055 0.0130203 -54.315 < 2e-16 ***
FID.y1334 -0.9944026 0.0132306 -75.160 < 2e-16 ***
FID.y1335 -2.0581766 0.0144178 -142.753 < 2e-16 ***
FID.y1336 -0.2575696 0.0128122 -20.103 < 2e-16 ***
FID.y1337 -1.9315740 0.0135737 -142.302 < 2e-16 ***
FID.y1338 -2.7910944 0.0145888 -191.318 < 2e-16 ***
FID.y1339 -0.4405757 0.0128444 -34.301 < 2e-16 ***
FID.y1340 -1.9202561 0.0138879 -138.268 < 2e-16 ***
FID.y1341 -0.9341864 0.0134897 -69.252 < 2e-16 ***
FID.y1344 -4.0639909 0.0177606 -228.820 < 2e-16 ***
FID.y135 -1.5457845 0.0357574 -43.230 < 2e-16 ***
FID.y1351 -0.7107609 0.0132594 -53.604 < 2e-16 ***
FID.y1352 -1.6115804 0.0138669 -116.217 < 2e-16 ***
FID.y1353 -0.7362762 0.0130452 -56.440 < 2e-16 ***
FID.y1354 -2.0583414 0.0144853 -142.099 < 2e-16 ***
FID.y1355 -1.8999989 0.0139713 -135.993 < 2e-16 ***
FID.y1356 -1.7111881 0.0133360 -128.313 < 2e-16 ***
FID.y1357 -2.0981586 0.0151199 -138.768 < 2e-16 ***
FID.y1358 -1.4646857 0.0131890 -111.054 < 2e-16 ***
FID.y1359 -1.5630878 0.0133058 -117.474 < 2e-16 ***
FID.y136 -1.6150105 0.0243763 -66.253 < 2e-16 ***
FID.y1363 -5.9064985 0.0642389 -91.946 < 2e-16 ***
FID.y137 -0.5230219 0.0185864 -28.140 < 2e-16 ***
FID.y1370 -1.6427139 0.0185734 -88.444 < 2e-16 ***
FID.y1371 -0.6329601 0.0130287 -48.582 < 2e-16 ***
FID.y1372 -1.6379137 0.0141099 -116.082 < 2e-16 ***
FID.y1373 -2.3910129 0.0147830 -161.740 < 2e-16 ***
FID.y1374 -2.2947242 0.0148989 -154.020 < 2e-16 ***
FID.y1375 -1.9448317 0.0136252 -142.738 < 2e-16 ***
FID.y1376 -2.5243914 0.0145782 -173.162 < 2e-16 ***
FID.y1377 -1.7483049 0.0134717 -129.776 < 2e-16 ***
FID.y1378 -0.4796213 0.0133398 -35.954 < 2e-16 ***
FID.y1379 -2.8084630 0.0170395 -164.821 < 2e-16 ***
FID.y138 -1.2419162 0.0181452 -68.443 < 2e-16 ***
FID.y1382 -5.1002812 0.0312285 -163.322 < 2e-16 ***
FID.y1388 -1.9484044 0.0551209 -35.348 < 2e-16 ***
FID.y1389 -2.8334005 0.0250078 -113.301 < 2e-16 ***
FID.y139 -3.4162525 0.0292247 -116.896 < 2e-16 ***
FID.y1390 -1.1643684 0.0138203 -84.251 < 2e-16 ***
FID.y1391 -1.4168577 0.0135335 -104.692 < 2e-16 ***
FID.y1392 -1.4374900 0.0133441 -107.725 < 2e-16 ***
FID.y1393 -2.2489180 0.0139438 -161.285 < 2e-16 ***
FID.y1394 -1.2492180 0.0141999 -87.974 < 2e-16 ***
FID.y1395 -2.4853983 0.0157515 -157.788 < 2e-16 ***
FID.y1396 -2.6611960 0.0286577 -92.861 < 2e-16 ***
FID.y1397 -2.4421272 0.0154273 -158.299 < 2e-16 ***
FID.y140 -2.7403675 0.0208393 -131.500 < 2e-16 ***
FID.y1400 -3.2364832 0.0194269 -166.598 < 2e-16 ***
FID.y1407 -2.3331092 0.0614677 -37.957 < 2e-16 ***
FID.y1408 -2.3454172 0.0201084 -116.639 < 2e-16 ***
FID.y1409 -1.4581235 0.0175951 -82.871 < 2e-16 ***
FID.y141 -2.6980220 0.0230917 -116.839 < 2e-16 ***
FID.y1410 -0.8999097 0.0131352 -68.511 < 2e-16 ***
FID.y1411 -0.9760484 0.0131158 -74.418 < 2e-16 ***
FID.y1412 -1.7845166 0.0140746 -126.789 < 2e-16 ***
FID.y1413 -3.9843390 0.0208381 -191.204 < 2e-16 ***
FID.y1414 -2.9941226 0.0154853 -193.353 < 2e-16 ***
FID.y1415 -2.6767207 0.0149701 -178.805 < 2e-16 ***
FID.y1416 -2.0512394 0.0140066 -146.448 < 2e-16 ***
FID.y1417 -3.8478750 0.0205783 -186.987 < 2e-16 ***
FID.y1418 -3.6918779 0.0214196 -172.360 < 2e-16 ***
FID.y1419 -2.8429565 0.0174430 -162.985 < 2e-16 ***
FID.y1427 -3.1959850 0.1019120 -31.360 < 2e-16 ***
FID.y1429 -3.6682436 0.0266838 -137.471 < 2e-16 ***
FID.y1430 -1.3752611 0.0133978 -102.648 < 2e-16 ***
FID.y1431 -1.2455574 0.0131560 -94.676 < 2e-16 ***
FID.y1432 -3.1554277 0.0235820 -133.806 < 2e-16 ***
FID.y1433 -2.9795142 0.0173644 -171.588 < 2e-16 ***
FID.y1434 -2.3294493 0.0146517 -158.988 < 2e-16 ***
FID.y1435 -1.7109973 0.0135733 -126.056 < 2e-16 ***
FID.y1438 -3.3389911 0.0179734 -185.774 < 2e-16 ***
FID.y1439 -2.8331819 0.0181796 -155.844 < 2e-16 ***
FID.y1447 -1.9212035 0.0191192 -100.485 < 2e-16 ***
FID.y1448 -2.3283195 0.0144128 -161.545 < 2e-16 ***
FID.y1449 -1.9606447 0.0141478 -138.583 < 2e-16 ***
FID.y1450 -0.9180559 0.0131634 -69.743 < 2e-16 ***
FID.y1451 -3.1517073 0.0161623 -195.004 < 2e-16 ***
FID.y1452 -2.1186974 0.0137788 -153.765 < 2e-16 ***
FID.y1453 -2.8804857 0.0182919 -157.473 < 2e-16 ***
FID.y1454 -1.6092430 0.0132802 -121.176 < 2e-16 ***
FID.y1455 -2.2986318 0.0140308 -163.827 < 2e-16 ***
FID.y1456 -1.6215806 0.0135712 -119.487 < 2e-16 ***
FID.y1457 -3.7268861 0.0285161 -130.694 < 2e-16 ***
FID.y1467 -1.7314881 0.0170521 -101.541 < 2e-16 ***
FID.y1468 -1.3365391 0.0132514 -100.860 < 2e-16 ***
FID.y1469 -0.7614365 0.0131248 -58.015 < 2e-16 ***
FID.y1470 -1.7053630 0.0137494 -124.032 < 2e-16 ***
FID.y1471 0.0280318 0.0127898 2.192 0.028398 *
FID.y1472 -3.1338849 0.0153014 -204.810 < 2e-16 ***
FID.y1473 -1.0320021 0.0130680 -78.971 < 2e-16 ***
FID.y1474 -4.0154761 0.0188137 -213.434 < 2e-16 ***
FID.y1475 -3.6710812 0.0169207 -216.959 < 2e-16 ***
FID.y1476 -4.1300918 0.0225533 -183.126 < 2e-16 ***
FID.y1485 -4.1905121 0.0342930 -122.197 < 2e-16 ***
FID.y1486 -1.8317302 0.0138258 -132.486 < 2e-16 ***
FID.y1487 -1.9348177 0.0148684 -130.129 < 2e-16 ***
FID.y1488 -1.9700545 0.0139997 -140.721 < 2e-16 ***
FID.y1489 -1.7743242 0.0147190 -120.547 < 2e-16 ***
FID.y1490 -2.4092110 0.0139169 -173.114 < 2e-16 ***
FID.y1491 -2.4012254 0.0138110 -173.863 < 2e-16 ***
FID.y1492 -1.7787882 0.0132483 -134.265 < 2e-16 ***
FID.y1493 -2.7023707 0.0146099 -184.968 < 2e-16 ***
FID.y1505 -6.2358830 0.1170022 -53.297 < 2e-16 ***
FID.y1506 -1.1966209 0.0131900 -90.722 < 2e-16 ***
FID.y1507 -1.1900284 0.0131876 -90.238 < 2e-16 ***
FID.y1508 -2.2488915 0.0201520 -111.597 < 2e-16 ***
FID.y1509 -2.4116130 0.0142262 -169.519 < 2e-16 ***
FID.y1511 -2.0195951 0.0133707 -151.046 < 2e-16 ***
FID.y1512 -2.3597973 0.0163359 -144.455 < 2e-16 ***
FID.y1513 -3.4013023 0.0171140 -198.744 < 2e-16 ***
FID.y1523 -1.6926149 0.0157035 -107.786 < 2e-16 ***
FID.y1524 -2.6235299 0.0152242 -172.326 < 2e-16 ***
FID.y1525 -1.8612292 0.0137816 -135.052 < 2e-16 ***
FID.y1526 -1.6150003 0.0142361 -113.444 < 2e-16 ***
FID.y1527 -2.3357787 0.0142077 -164.402 < 2e-16 ***
FID.y1528 -3.1225649 0.0158122 -197.478 < 2e-16 ***
FID.y1529 -3.7885165 0.0177227 -213.766 < 2e-16 ***
FID.y1530 -1.9578903 0.0133523 -146.633 < 2e-16 ***
FID.y1531 -3.8121918 0.0184555 -206.562 < 2e-16 ***
FID.y1543 -1.9690479 0.0146843 -134.092 < 2e-16 ***
FID.y1544 -2.6921557 0.0148806 -180.917 < 2e-16 ***
FID.y1545 -2.0686637 0.0139765 -148.011 < 2e-16 ***
FID.y1546 -1.4088209 0.0133751 -105.332 < 2e-16 ***
FID.y1547 -1.6398251 0.0135342 -121.162 < 2e-16 ***
FID.y1548 -1.0245047 0.0130454 -78.534 < 2e-16 ***
FID.y1549 -1.9488039 0.0132908 -146.628 < 2e-16 ***
FID.y155 -2.8386167 0.0462053 -61.435 < 2e-16 ***
FID.y1550 -4.3185789 0.0196584 -219.681 < 2e-16 ***
FID.y1551 -2.9643976 0.0149700 -198.022 < 2e-16 ***
FID.y1562 -1.4531568 0.0136677 -106.320 < 2e-16 ***
FID.y1563 -1.4133781 0.0133269 -106.055 < 2e-16 ***
FID.y1564 -1.2903303 0.0132447 -97.422 < 2e-16 ***
FID.y1565 -2.5068199 0.0152287 -164.611 < 2e-16 ***
FID.y1566 -1.8441024 0.0135676 -135.919 < 2e-16 ***
FID.y1567 -2.0590344 0.0133795 -153.895 < 2e-16 ***
FID.y1568 -3.2664782 0.0148859 -219.434 < 2e-16 ***
FID.y1569 -2.1271615 0.0134594 -158.042 < 2e-16 ***
FID.y157 -2.2722900 0.0194987 -116.535 < 2e-16 ***
FID.y1570 -2.8187563 0.0188569 -149.482 < 2e-16 ***
FID.y158 -1.7345152 0.0158543 -109.403 < 2e-16 ***
FID.y1581 -2.4373260 0.0152932 -159.373 < 2e-16 ***
FID.y1582 -1.2173215 0.0131624 -92.485 < 2e-16 ***
FID.y1583 -1.3323666 0.0132518 -100.542 < 2e-16 ***
FID.y1584 -1.7951692 0.0139666 -128.533 < 2e-16 ***
FID.y1586 -1.6469252 0.0133391 -123.466 < 2e-16 ***
FID.y1587 -0.6791160 0.0128509 -52.846 < 2e-16 ***
FID.y1588 -1.5492867 0.0130662 -118.572 < 2e-16 ***
FID.y1589 -2.4960897 0.0136711 -182.581 < 2e-16 ***
FID.y159 -3.2580382 0.0306057 -106.452 < 2e-16 ***
FID.y1590 -4.9130810 0.0254468 -193.073 < 2e-16 ***
FID.y1600 -1.9618561 0.0140869 -139.268 < 2e-16 ***
FID.y1601 -2.1780898 0.0142186 -153.186 < 2e-16 ***
FID.y1602 -1.1872843 0.0134832 -88.057 < 2e-16 ***
FID.y1603 -0.2179601 0.0143840 -15.153 < 2e-16 ***
FID.y1605 -2.7738534 0.0142890 -194.125 < 2e-16 ***
FID.y1606 -3.2619751 0.0148350 -219.884 < 2e-16 ***
FID.y1607 -0.9398609 0.0128922 -72.901 < 2e-16 ***
FID.y1608 -3.0678414 0.0145136 -211.377 < 2e-16 ***
FID.y1609 -4.0020633 0.0244617 -163.605 < 2e-16 ***
FID.y1619 -1.1299596 0.0134973 -83.717 < 2e-16 ***
FID.y1620 -1.7334447 0.0138177 -125.451 < 2e-16 ***
FID.y1621 -1.6351999 0.0143760 -113.745 < 2e-16 ***
FID.y1622 -1.6220207 0.0137586 -117.892 < 2e-16 ***
FID.y1623 0.0785116 0.0145625 5.391 6.99e-08 ***
FID.y1624 -4.2353386 0.0248412 -170.497 < 2e-16 ***
FID.y1625 -2.1682141 0.0136671 -158.644 < 2e-16 ***
FID.y1626 -2.5365506 0.0137092 -185.026 < 2e-16 ***
FID.y1627 -2.4606575 0.0136121 -180.770 < 2e-16 ***
FID.y1628 -3.4400201 0.0156397 -219.955 < 2e-16 ***
FID.y1629 -5.1004742 0.0523737 -97.386 < 2e-16 ***
FID.y1638 -2.1686890 0.0146088 -148.451 < 2e-16 ***
FID.y1639 -0.8021403 0.0129976 -61.714 < 2e-16 ***
FID.y1640 -0.6609461 0.0129824 -50.911 < 2e-16 ***
FID.y1644 -3.6151988 0.0168345 -214.750 < 2e-16 ***
FID.y1645 -2.9742930 0.0139829 -212.709 < 2e-16 ***
FID.y1646 -1.1252959 0.0129476 -86.911 < 2e-16 ***
FID.y1647 -5.8621567 0.0434351 -134.964 < 2e-16 ***
FID.y1657 -0.8671390 0.0132430 -65.479 < 2e-16 ***
FID.y1658 -2.2536628 0.0143092 -157.497 < 2e-16 ***
FID.y1659 -2.3437562 0.0142221 -164.797 < 2e-16 ***
FID.y1660 -2.2359311 0.0145857 -153.296 < 2e-16 ***
FID.y1662 -2.3974803 0.0186062 -128.854 < 2e-16 ***
FID.y1664 -3.7895962 0.0170072 -222.822 < 2e-16 ***
FID.y1665 -1.0963982 0.0129921 -84.390 < 2e-16 ***
FID.y1666 -4.6272761 0.0257291 -179.846 < 2e-16 ***
FID.y1667 -2.2836236 0.0204840 -111.483 < 2e-16 ***
FID.y1676 -1.8853218 0.0138397 -136.226 < 2e-16 ***
FID.y1677 -1.6204838 0.0135575 -119.527 < 2e-16 ***
FID.y1678 -1.2535757 0.0133564 -93.856 < 2e-16 ***
FID.y1681 -1.3392565 0.0151811 -88.219 < 2e-16 ***
FID.y1683 -3.0639958 0.0219422 -139.639 < 2e-16 ***
FID.y1684 -2.7876051 0.0141133 -197.516 < 2e-16 ***
FID.y1695 -2.2155686 0.0156323 -141.730 < 2e-16 ***
FID.y1696 -3.8845808 0.0233259 -166.535 < 2e-16 ***
FID.y1697 -2.6631546 0.0251260 -105.992 < 2e-16 ***
FID.y1698 -1.4579765 0.0134805 -108.154 < 2e-16 ***
FID.y1701 -2.2434866 0.0188597 -118.957 < 2e-16 ***
FID.y1703 -2.7003764 0.0140916 -191.630 < 2e-16 ***
FID.y1704 -3.6335598 0.0230150 -157.878 < 2e-16 ***
FID.y1714 -1.5880029 0.0137069 -115.855 < 2e-16 ***
FID.y1715 -2.5605446 0.0148084 -172.912 < 2e-16 ***
FID.y1716 -3.2286360 0.0171298 -188.481 < 2e-16 ***
FID.y1717 -3.6563073 0.0269418 -135.711 < 2e-16 ***
FID.y1720 -2.7541231 0.0243969 -112.888 < 2e-16 ***
FID.y1722 -4.1446428 0.0212689 -194.869 < 2e-16 ***
FID.y1734 -2.5887639 0.0153077 -169.115 < 2e-16 ***
FID.y1735 -1.3994260 0.0140336 -99.720 < 2e-16 ***
FID.y1736 -1.3216922 0.0133850 -98.744 < 2e-16 ***
FID.y1739 -1.4734766 0.0162028 -90.940 < 2e-16 ***
FID.y1741 -4.0960130 0.0225196 -181.886 < 2e-16 ***
FID.y1752 -2.0724141 0.0146837 -141.137 < 2e-16 ***
FID.y1753 -1.2545826 0.0133407 -94.042 < 2e-16 ***
FID.y1754 -2.3566873 0.0149344 -157.802 < 2e-16 ***
FID.y1757 -3.0279375 0.0236134 -128.230 < 2e-16 ***
FID.y176 -3.7136882 0.0326032 -113.906 < 2e-16 ***
FID.y177 -2.2112212 0.0158668 -139.362 < 2e-16 ***
FID.y1772 -2.4308593 0.0155551 -156.274 < 2e-16 ***
FID.y1773 -0.0773197 0.0128198 -6.031 1.63e-09 ***
FID.y1774 -2.7598544 0.0160494 -171.960 < 2e-16 ***
FID.y1775 -1.9237292 0.0140064 -137.347 < 2e-16 ***
FID.y1777 -1.2768114 0.0169566 -75.299 < 2e-16 ***
FID.y178 -4.5902455 0.0877706 -52.298 < 2e-16 ***
FID.y1790 -2.0972502 0.0151502 -138.430 < 2e-16 ***
FID.y1791 -2.2819760 0.0142140 -160.545 < 2e-16 ***
FID.y1792 -2.3828400 0.0145154 -164.160 < 2e-16 ***
FID.y1793 -1.7029096 0.0144500 -117.849 < 2e-16 ***
FID.y1794 -2.0143386 0.0140081 -143.798 < 2e-16 ***
FID.y1795 -1.9021293 0.0140496 -135.386 < 2e-16 ***
FID.y1796 -1.6924903 0.0137986 -122.656 < 2e-16 ***
FID.y1810 -2.0024440 0.0141897 -141.120 < 2e-16 ***
FID.y1811 -1.8436098 0.0135131 -136.432 < 2e-16 ***
FID.y1812 -1.3125315 0.0133017 -98.674 < 2e-16 ***
FID.y1813 -1.1359760 0.0132675 -85.621 < 2e-16 ***
FID.y1814 -2.1070114 0.0140658 -149.797 < 2e-16 ***
FID.y1815 -1.2116014 0.0133915 -90.475 < 2e-16 ***
FID.y1816 -4.5279864 0.0307484 -147.259 < 2e-16 ***
FID.y1829 -1.4357984 0.0141079 -101.773 < 2e-16 ***
FID.y1830 -1.4881910 0.0134316 -110.798 < 2e-16 ***
FID.y1831 -1.1675571 0.0131731 -88.632 < 2e-16 ***
FID.y1832 -2.4619441 0.0141513 -173.972 < 2e-16 ***
FID.y1833 -3.0952040 0.0168854 -183.306 < 2e-16 ***
FID.y1834 -1.2127000 0.0133448 -90.875 < 2e-16 ***
FID.y1848 -2.8070563 0.0165886 -169.216 < 2e-16 ***
FID.y1849 -2.0893464 0.0140068 -149.167 < 2e-16 ***
FID.y1850 -2.6400252 0.0173823 -151.880 < 2e-16 ***
FID.y1851 -1.1660192 0.0130823 -89.129 < 2e-16 ***
FID.y1852 -3.0097521 0.0154721 -194.528 < 2e-16 ***
FID.y1853 -2.7438005 0.0150763 -181.995 < 2e-16 ***
FID.y1854 -4.5958937 0.0300231 -153.078 < 2e-16 ***
FID.y1867 -2.1541300 0.0145177 -148.380 < 2e-16 ***
FID.y1868 -2.4314511 0.0147345 -165.017 < 2e-16 ***
FID.y1869 -4.3411780 0.0336958 -128.834 < 2e-16 ***
FID.y1870 0.3612265 0.0127844 28.255 < 2e-16 ***
FID.y1871 -2.9664939 0.0177172 -167.436 < 2e-16 ***
FID.y1872 -2.5171434 0.0149925 -167.894 < 2e-16 ***
FID.y1886 -2.1020292 0.0148114 -141.919 < 2e-16 ***
FID.y1887 -0.6052944 0.0131221 -46.128 < 2e-16 ***
FID.y1888 -0.8929920 0.0132010 -67.646 < 2e-16 ***
FID.y1889 -2.1357487 0.0137973 -154.795 < 2e-16 ***
FID.y1890 -2.7036229 0.0154758 -174.700 < 2e-16 ***
FID.y1891 0.0085289 0.0128599 0.663 0.507192
FID.y1892 -5.0653304 0.0630072 -80.393 < 2e-16 ***
FID.y1904 -2.1445407 0.0766436 -27.981 < 2e-16 ***
FID.y1905 -3.5371916 0.0196723 -179.806 < 2e-16 ***
FID.y1906 -0.7150979 0.0131329 -54.451 < 2e-16 ***
FID.y1907 -1.0990749 0.0134145 -81.932 < 2e-16 ***
FID.y1908 -2.4435111 0.0141275 -172.961 < 2e-16 ***
FID.y1909 -3.3073083 0.0172749 -191.451 < 2e-16 ***
FID.y1910 -4.3634531 0.0352236 -123.879 < 2e-16 ***
FID.y1925 -1.9866509 0.0155917 -127.417 < 2e-16 ***
FID.y1926 -1.9291922 0.0159721 -120.785 < 2e-16 ***
FID.y1927 -1.9266985 0.0136844 -140.795 < 2e-16 ***
FID.y1928 -2.0160557 0.0145251 -138.798 < 2e-16 ***
FID.y1929 -2.4317406 0.0145633 -166.977 < 2e-16 ***
FID.y194 -1.5891346 0.0300670 -52.853 < 2e-16 ***
FID.y1943 -2.4300654 0.0189079 -128.521 < 2e-16 ***
FID.y1944 -2.5714753 0.0165465 -155.409 < 2e-16 ***
FID.y1945 -2.1667428 0.0148667 -145.745 < 2e-16 ***
FID.y1946 -0.5835115 0.0129731 -44.979 < 2e-16 ***
FID.y1947 -1.5587203 0.0136056 -114.565 < 2e-16 ***
FID.y1948 -2.8165349 0.0168593 -167.062 < 2e-16 ***
FID.y195 -1.8126710 0.0199507 -90.858 < 2e-16 ***
FID.y196 -1.4719126 0.0149794 -98.263 < 2e-16 ***
FID.y1964 -1.2868491 0.0136800 -94.068 < 2e-16 ***
FID.y1965 -3.0344247 0.0168877 -179.683 < 2e-16 ***
FID.y1966 -2.6005415 0.0145872 -178.275 < 2e-16 ***
FID.y1967 -2.0223190 0.0143275 -141.149 < 2e-16 ***
FID.y1982 -1.0535367 0.0146229 -72.047 < 2e-16 ***
FID.y1983 -2.3901299 0.0164485 -145.310 < 2e-16 ***
FID.y1984 -1.7115943 0.0140025 -122.235 < 2e-16 ***
FID.y1985 -1.8705125 0.0138800 -134.764 < 2e-16 ***
FID.y1986 -3.6183632 0.0362557 -99.801 < 2e-16 ***
FID.y20 -0.9558213 0.0478230 -19.987 < 2e-16 ***
FID.y2001 -1.1100722 0.0185547 -59.827 < 2e-16 ***
FID.y2002 -1.3896344 0.0150143 -92.554 < 2e-16 ***
FID.y2003 -0.6665797 0.0145388 -45.848 < 2e-16 ***
FID.y2004 -2.3487901 0.0156390 -150.188 < 2e-16 ***
FID.y2005 -1.4908530 0.0139339 -106.995 < 2e-16 ***
FID.y2020 -0.7032130 0.0160361 -43.852 < 2e-16 ***
FID.y2021 -0.1508662 0.0151091 -9.985 < 2e-16 ***
FID.y2022 -1.5778326 0.0155656 -101.367 < 2e-16 ***
FID.y2023 -2.9654373 0.0184525 -160.707 < 2e-16 ***
FID.y2024 -1.5163202 0.0172136 -88.088 < 2e-16 ***
FID.y2041 -1.4692415 0.0179966 -81.640 < 2e-16 ***
FID.y2042 -3.7708829 0.0288358 -130.771 < 2e-16 ***
FID.y2043 -1.8045629 0.0146314 -123.335 < 2e-16 ***
FID.y2044 -0.6604767 0.0162774 -40.576 < 2e-16 ***
FID.y2060 -2.4836167 0.0277366 -89.543 < 2e-16 ***
FID.y2061 -2.1625816 0.0198843 -108.758 < 2e-16 ***
FID.y2062 -1.4847418 0.0145925 -101.747 < 2e-16 ***
FID.y2063 -2.8523472 0.0343292 -83.088 < 2e-16 ***
FID.y2078 -2.4026497 0.0203845 -117.867 < 2e-16 ***
FID.y2081 -2.3710657 0.0234774 -100.994 < 2e-16 ***
FID.y2082 -1.8330385 0.0159870 -114.658 < 2e-16 ***
FID.y2097 -0.3796041 0.0137546 -27.598 < 2e-16 ***
FID.y2098 -0.4277588 0.0136243 -31.397 < 2e-16 ***
FID.y2101 -1.4580081 0.0157074 -92.823 < 2e-16 ***
FID.y2114 -0.9393330 0.0226044 -41.555 < 2e-16 ***
FID.y2118 -0.1619533 0.0135508 -11.952 < 2e-16 ***
FID.y2120 -2.2727933 0.0178844 -127.082 < 2e-16 ***
FID.y2136 -1.3865683 0.0153729 -90.196 < 2e-16 ***
FID.y2139 -3.3831413 0.0322180 -105.008 < 2e-16 ***
FID.y214 -3.7775790 0.0312479 -120.891 < 2e-16 ***
FID.y215 -2.8772027 0.0191223 -150.463 < 2e-16 ***
FID.y2152 -2.3654637 0.0307310 -76.973 < 2e-16 ***
FID.y2157 -0.4042150 0.0142476 -28.371 < 2e-16 ***
FID.y216 -3.0231893 0.0319022 -94.764 < 2e-16 ***
FID.y2176 0.2370556 0.0136020 17.428 < 2e-16 ***
FID.y2177 -2.7979008 0.0271288 -103.134 < 2e-16 ***
FID.y2195 -0.3189633 0.0169190 -18.852 < 2e-16 ***
FID.y2196 -0.0090793 0.0143285 -0.634 0.526307
FID.y2266 -0.4200521 0.0230548 -18.220 < 2e-16 ***
FID.y232 -0.7307703 0.0193051 -37.854 < 2e-16 ***
FID.y233 -2.7622551 0.0228200 -121.045 < 2e-16 ***
FID.y234 -1.6587117 0.0168765 -98.285 < 2e-16 ***
FID.y251 -0.6816071 0.0195967 -34.782 < 2e-16 ***
FID.y252 -2.2097287 0.0174817 -126.402 < 2e-16 ***
FID.y253 -1.8655404 0.0170489 -109.423 < 2e-16 ***
FID.y269 -4.8983957 0.1330664 -36.812 < 2e-16 ***
FID.y270 -1.9349605 0.0201938 -95.820 < 2e-16 ***
FID.y271 -2.4543219 0.0205812 -119.251 < 2e-16 ***
FID.y289 -0.6983165 0.0181594 -38.455 < 2e-16 ***
FID.y290 -2.7720758 0.0259720 -106.733 < 2e-16 ***
FID.y291 -1.7014807 0.0165495 -102.811 < 2e-16 ***
FID.y307 0.0940460 0.0162256 5.796 6.79e-09 ***
FID.y308 -1.1594001 0.0167944 -69.035 < 2e-16 ***
FID.y309 -1.6943116 0.0156409 -108.325 < 2e-16 ***
FID.y328 -1.8157364 0.0180164 -100.782 < 2e-16 ***
FID.y329 -1.7183053 0.0140955 -121.905 < 2e-16 ***
FID.y346 -0.7860719 0.0149345 -52.634 < 2e-16 ***
FID.y347 -1.9843179 0.0144666 -137.165 < 2e-16 ***
FID.y348 -2.9503935 0.0190711 -154.705 < 2e-16 ***
FID.y365 -0.9728840 0.0190649 -51.030 < 2e-16 ***
FID.y366 -1.3421127 0.0157513 -85.206 < 2e-16 ***
FID.y367 -0.9109651 0.0132432 -68.787 < 2e-16 ***
FID.y368 -1.2429344 0.0149871 -82.934 < 2e-16 ***
FID.y369 -0.0570953 0.0132739 -4.301 1.70e-05 ***
FID.y384 -2.8030558 0.0265861 -105.433 < 2e-16 ***
FID.y385 -2.4419822 0.0157659 -154.891 < 2e-16 ***
FID.y386 -4.8141184 0.0260216 -185.005 < 2e-16 ***
FID.y387 -2.2120267 0.0162184 -136.390 < 2e-16 ***
FID.y388 -2.6553707 0.0260107 -102.088 < 2e-16 ***
FID.y39 0.3937055 0.0247319 15.919 < 2e-16 ***
FID.y403 -1.7381337 0.0253092 -68.676 < 2e-16 ***
FID.y404 -2.6695539 0.0209775 -127.258 < 2e-16 ***
FID.y405 -2.9288475 0.0166068 -176.364 < 2e-16 ***
FID.y406 -2.3360032 0.0143848 -162.393 < 2e-16 ***
FID.y407 -2.7229306 0.0171552 -158.723 < 2e-16 ***
FID.y41 -0.8270752 0.0236405 -34.986 < 2e-16 ***
FID.y423 -1.8965671 0.0157081 -120.738 < 2e-16 ***
FID.y424 -2.7930047 0.0149111 -187.310 < 2e-16 ***
FID.y425 -2.3676381 0.0140504 -168.511 < 2e-16 ***
FID.y426 -2.2675971 0.0199200 -113.835 < 2e-16 ***
FID.y441 -1.9048363 0.0255919 -74.431 < 2e-16 ***
FID.y442 -3.9600214 0.0488470 -81.070 < 2e-16 ***
FID.y443 -1.9671147 0.0147640 -133.237 < 2e-16 ***
FID.y444 -4.2543629 0.0192891 -220.558 < 2e-16 ***
FID.y446 -4.9201317 0.0509271 -96.611 < 2e-16 ***
FID.y447 -3.0536072 0.0252434 -120.966 < 2e-16 ***
FID.y460 -1.4612961 0.0192710 -75.829 < 2e-16 ***
FID.y461 -1.7141703 0.0157817 -108.617 < 2e-16 ***
FID.y462 -2.4344616 0.0139487 -174.529 < 2e-16 ***
FID.y463 -2.5506995 0.0137976 -184.865 < 2e-16 ***
FID.y464 -1.5252393 0.0145442 -104.870 < 2e-16 ***
FID.y465 -2.0247183 0.0172399 -117.444 < 2e-16 ***
FID.y466 -3.2884827 0.0317647 -103.526 < 2e-16 ***
FID.y479 -2.2592713 0.0321748 -70.219 < 2e-16 ***
FID.y480 0.1136382 0.0137878 8.242 < 2e-16 ***
FID.y481 -2.2902851 0.0150969 -151.706 < 2e-16 ***
FID.y482 -1.0098143 0.0127358 -79.290 < 2e-16 ***
FID.y483 -2.4015958 0.0139003 -172.773 < 2e-16 ***
FID.y485 -2.8660039 0.0216721 -132.244 < 2e-16 ***
FID.y486 -3.6182644 0.0358511 -100.925 < 2e-16 ***
FID.y487 -3.9658088 0.0444012 -89.318 < 2e-16 ***
FID.y488 -7.5032821 0.5775024 -12.993 < 2e-16 ***
FID.y498 -1.5846573 0.0217865 -72.736 < 2e-16 ***
FID.y499 -1.1215287 0.0162660 -68.949 < 2e-16 ***
FID.y500 -3.0296082 0.0149891 -202.121 < 2e-16 ***
FID.y501 -3.0472761 0.0141381 -215.537 < 2e-16 ***
FID.y502 -1.8397272 0.0145026 -126.855 < 2e-16 ***
FID.y506 -4.3791501 0.0561331 -78.014 < 2e-16 ***
FID.y507 -1.7341542 0.0206523 -83.969 < 2e-16 ***
FID.y508 -4.0497211 0.0684610 -59.154 < 2e-16 ***
FID.y517 -2.3898541 0.0347193 -68.834 < 2e-16 ***
FID.y518 -0.7605634 0.0160949 -47.255 < 2e-16 ***
FID.y519 -2.7132318 0.0204680 -132.559 < 2e-16 ***
FID.y520 -0.0052115 0.0125846 -0.414 0.678790
FID.y521 -2.7041235 0.0139356 -194.044 < 2e-16 ***
FID.y523 -6.4041397 0.1073699 -59.646 < 2e-16 ***
FID.y527 -4.5461314 0.0671964 -67.654 < 2e-16 ***
FID.y528 -6.1514661 0.2185957 -28.141 < 2e-16 ***
FID.y529 -2.7208296 0.0371498 -73.240 < 2e-16 ***
FID.y536 -2.9017224 0.0268068 -108.246 < 2e-16 ***
FID.y537 -1.7498344 0.0183335 -95.445 < 2e-16 ***
FID.y538 -1.9596886 0.0136969 -143.076 < 2e-16 ***
FID.y539 -2.5436140 0.0134354 -189.321 < 2e-16 ***
FID.y540 -3.0642664 0.0198488 -154.381 < 2e-16 ***
FID.y546 -4.0020434 0.0529784 -75.541 < 2e-16 ***
FID.y547 -3.3288673 0.0461892 -72.070 < 2e-16 ***
FID.y556 -2.6943582 0.0191711 -140.543 < 2e-16 ***
FID.y557 -2.0614681 0.0150239 -137.212 < 2e-16 ***
FID.y558 -3.3170867 0.0154279 -215.006 < 2e-16 ***
FID.y559 -2.5866986 0.0138683 -186.519 < 2e-16 ***
FID.y561 -2.6055269 0.0169101 -154.081 < 2e-16 ***
FID.y576 -2.7056772 0.0164534 -164.444 < 2e-16 ***
FID.y577 -2.5737138 0.0136787 -188.155 < 2e-16 ***
FID.y59 -1.3711926 0.0455877 -30.078 < 2e-16 ***
FID.y594 -1.3098397 0.0142648 -91.823 < 2e-16 ***
FID.y595 -1.9709739 0.0138084 -142.737 < 2e-16 ***
FID.y596 -2.3043759 0.0136961 -168.251 < 2e-16 ***
FID.y597 -1.7150716 0.0130805 -131.117 < 2e-16 ***
FID.y599 -2.3328152 0.0167776 -139.043 < 2e-16 ***
FID.y60 -0.7205992 0.0190280 -37.870 < 2e-16 ***
FID.y61 -1.1575485 0.0234175 -49.431 < 2e-16 ***
FID.y612 -1.2422018 0.0155365 -79.954 < 2e-16 ***
FID.y613 -3.2003437 0.0185922 -172.134 < 2e-16 ***
FID.y614 -1.6969616 0.0134171 -126.478 < 2e-16 ***
FID.y615 -0.2833406 0.0127289 -22.260 < 2e-16 ***
FID.y616 -4.0042990 0.0218078 -183.618 < 2e-16 ***
FID.y632 -1.8603640 0.0152502 -121.989 < 2e-16 ***
FID.y633 -2.2430737 0.0141576 -158.436 < 2e-16 ***
FID.y634 -4.5412251 0.0227743 -199.401 < 2e-16 ***
FID.y635 -2.0541678 0.0133326 -154.071 < 2e-16 ***
FID.y637 -2.8494411 0.0162676 -175.160 < 2e-16 ***
FID.y653 -3.1297898 0.0157720 -198.439 < 2e-16 ***
FID.y656 -5.1667629 0.0296318 -174.366 < 2e-16 ***
FID.y670 -1.2411032 0.0143829 -86.290 < 2e-16 ***
FID.y672 -4.7645750 0.0243338 -195.801 < 2e-16 ***
FID.y673 -2.0101456 0.0133786 -150.251 < 2e-16 ***
FID.y688 -0.9625498 0.0150276 -64.052 < 2e-16 ***
FID.y689 -2.8680568 0.0177696 -161.403 < 2e-16 ***
FID.y690 -4.5498764 0.0238644 -190.655 < 2e-16 ***
FID.y691 -1.3841937 0.0129591 -106.812 < 2e-16 ***
FID.y692 -2.9403596 0.0155541 -189.040 < 2e-16 ***
FID.y694 -2.6016356 0.0142876 -182.091 < 2e-16 ***
FID.y699 -3.5401353 0.0370830 -95.465 < 2e-16 ***
FID.y709 -4.2273390 0.0234149 -180.541 < 2e-16 ***
FID.y710 -2.4331868 0.0136409 -178.375 < 2e-16 ***
FID.y711 -2.3782349 0.0134547 -176.759 < 2e-16 ***
FID.y712 -2.8972211 0.0157391 -184.078 < 2e-16 ***
FID.y713 -4.3531176 0.0187599 -232.043 < 2e-16 ***
FID.y714 -4.7265819 0.0209443 -225.674 < 2e-16 ***
FID.y726 -2.2441466 0.0186099 -120.589 < 2e-16 ***
FID.y727 -1.7584470 0.0141560 -124.219 < 2e-16 ***
FID.y728 -0.6618545 0.0128269 -51.599 < 2e-16 ***
FID.y729 -2.6101659 0.0137764 -189.467 < 2e-16 ***
FID.y730 -2.5529733 0.0143219 -178.257 < 2e-16 ***
FID.y731 -4.2723576 0.0233424 -183.030 < 2e-16 ***
FID.y732 -2.7961714 0.0136562 -204.754 < 2e-16 ***
FID.y733 -3.2272883 0.0152459 -211.682 < 2e-16 ***
FID.y737 -2.5335111 0.0232703 -108.873 < 2e-16 ***
FID.y745 -1.8881443 0.0183446 -102.926 < 2e-16 ***
FID.y747 -2.2688440 0.0138770 -163.497 < 2e-16 ***
FID.y748 -2.5205502 0.0139442 -180.760 < 2e-16 ***
FID.y749 -2.3376828 0.0134086 -174.342 < 2e-16 ***
FID.y750 -2.9443759 0.0149417 -197.057 < 2e-16 ***
FID.y751 -4.1932378 0.0178468 -234.958 < 2e-16 ***
FID.y752 -0.8221211 0.0128322 -64.067 < 2e-16 ***
FID.y753 -1.2057263 0.0132155 -91.236 < 2e-16 ***
FID.y756 -3.0384421 0.0233210 -130.288 < 2e-16 ***
FID.y763 -2.2457003 0.0218330 -102.858 < 2e-16 ***
FID.y765 -2.2479953 0.0142763 -157.463 < 2e-16 ***
FID.y766 -1.4491790 0.0132458 -109.406 < 2e-16 ***
FID.y767 -2.7135369 0.0139745 -194.178 < 2e-16 ***
FID.y768 -3.4553223 0.0149529 -231.080 < 2e-16 ***
FID.y769 -2.6958361 0.0137673 -195.815 < 2e-16 ***
FID.y77 -0.6920544 0.0372278 -18.590 < 2e-16 ***
FID.y770 -3.0645093 0.0139575 -219.560 < 2e-16 ***
FID.y771 -3.3300486 0.0151226 -220.203 < 2e-16 ***
FID.y772 -2.1167659 0.0151052 -140.135 < 2e-16 ***
FID.y773 -2.3418706 0.0189792 -123.391 < 2e-16 ***
FID.y774 -3.2899781 0.0233480 -140.911 < 2e-16 ***
FID.y775 -3.9600318 0.0338967 -116.826 < 2e-16 ***
FID.y78 -4.3026340 0.0890668 -48.308 < 2e-16 ***
FID.y783 -1.5502632 0.0160269 -96.729 < 2e-16 ***
FID.y784 -0.9540505 0.0133048 -71.707 < 2e-16 ***
FID.y785 -1.3347247 0.0135299 -98.650 < 2e-16 ***
FID.y786 -0.5665061 0.0135294 -41.872 < 2e-16 ***
FID.y787 -0.9915197 0.0128355 -77.248 < 2e-16 ***
FID.y788 -1.0612702 0.0131375 -80.782 < 2e-16 ***
FID.y789 -2.5797822 0.0136910 -188.429 < 2e-16 ***
FID.y79 -1.2768857 0.0213146 -59.907 < 2e-16 ***
FID.y790 -3.0649284 0.0148442 -206.474 < 2e-16 ***
FID.y791 -4.4200742 0.0182810 -241.785 < 2e-16 ***
FID.y792 -3.8630691 0.0309565 -124.790 < 2e-16 ***
FID.y793 -3.5646512 0.0229246 -155.494 < 2e-16 ***
FID.y794 -2.7157058 0.0191288 -141.969 < 2e-16 ***
FID.y80 -2.1121064 0.0261682 -80.713 < 2e-16 ***
FID.y802 -2.1802125 0.0150061 -145.288 < 2e-16 ***
FID.y803 -3.5172699 0.0184047 -191.107 < 2e-16 ***
FID.y804 -2.9185350 0.0179141 -162.918 < 2e-16 ***
FID.y805 -1.8552224 0.0133991 -138.459 < 2e-16 ***
FID.y806 -3.4759187 0.0190692 -182.279 < 2e-16 ***
FID.y808 -2.2281535 0.0132906 -167.649 < 2e-16 ***
FID.y809 -3.9018669 0.0171209 -227.900 < 2e-16 ***
FID.y81 -4.2873980 0.5005029 -8.566 < 2e-16 ***
FID.y810 -2.6762934 0.0156525 -170.981 < 2e-16 ***
FID.y811 -4.8860256 0.0325215 -150.240 < 2e-16 ***
FID.y812 -4.8741268 0.0300175 -162.376 < 2e-16 ***
FID.y813 -2.7265186 0.0191066 -142.700 < 2e-16 ***
FID.y821 -1.3763280 0.0163309 -84.278 < 2e-16 ***
FID.y822 -2.3654736 0.0140462 -168.407 < 2e-16 ***
FID.y823 -3.3613237 0.0171866 -195.579 < 2e-16 ***
FID.y824 -1.0827659 0.0131378 -82.416 < 2e-16 ***
FID.y825 -2.7735651 0.0143815 -192.857 < 2e-16 ***
FID.y828 -2.8094221 0.0138805 -202.400 < 2e-16 ***
FID.y830 -1.4191682 0.0137362 -103.316 < 2e-16 ***
FID.y831 -5.8299758 0.0418521 -139.300 < 2e-16 ***
FID.y832 -3.9583337 0.0192877 -205.226 < 2e-16 ***
FID.y839 -3.3095689 0.0211745 -156.300 < 2e-16 ***
FID.y840 -2.3965022 0.0142744 -167.888 < 2e-16 ***
FID.y841 -1.2108861 0.0130353 -92.893 < 2e-16 ***
FID.y842 -2.7336522 0.0161215 -169.566 < 2e-16 ***
FID.y843 -4.5133519 0.0273612 -164.954 < 2e-16 ***
FID.y844 -2.3707860 0.0145903 -162.491 < 2e-16 ***
FID.y845 -2.8626459 0.0149080 -192.021 < 2e-16 ***
FID.y846 -0.7577497 0.0127903 -59.244 < 2e-16 ***
FID.y849 -6.9693260 0.1746076 -39.914 < 2e-16 ***
FID.y850 -0.4508094 0.0130821 -34.460 < 2e-16 ***
FID.y851 -4.4034809 0.0225216 -195.522 < 2e-16 ***
FID.y858 -2.9811519 0.0190938 -156.132 < 2e-16 ***
FID.y859 -1.0356418 0.0134618 -76.932 < 2e-16 ***
FID.y860 -0.2320924 0.0127987 -18.134 < 2e-16 ***
FID.y861 -1.8580781 0.0146793 -126.578 < 2e-16 ***
FID.y862 -2.3155462 0.0151661 -152.679 < 2e-16 ***
FID.y863 -4.3058752 0.0211628 -203.465 < 2e-16 ***
FID.y864 -1.4328582 0.0132538 -108.110 < 2e-16 ***
FID.y865 -3.4410679 0.0155003 -222.000 < 2e-16 ***
FID.y866 -3.2619870 0.0151977 -214.636 < 2e-16 ***
FID.y868 -3.0650863 0.0256184 -119.644 < 2e-16 ***
FID.y870 -3.3510289 0.0174260 -192.300 < 2e-16 ***
FID.y871 -1.1747735 0.0135654 -86.601 < 2e-16 ***
FID.y877 -1.6514353 0.0139500 -118.383 < 2e-16 ***
FID.y878 -1.6304341 0.0133010 -122.580 < 2e-16 ***
FID.y879 -2.4112047 0.0143069 -168.534 < 2e-16 ***
FID.y881 -2.8266624 0.0162550 -173.895 < 2e-16 ***
FID.y882 -4.0728015 0.0203368 -200.267 < 2e-16 ***
FID.y883 -3.5271949 0.0167586 -210.470 < 2e-16 ***
FID.y884 -3.0372386 0.0141039 -215.348 < 2e-16 ***
FID.y885 -3.4156109 0.0165900 -205.883 < 2e-16 ***
FID.y889 -3.9190103 0.0165848 -236.301 < 2e-16 ***
FID.y896 -1.5511651 0.0142089 -109.169 < 2e-16 ***
FID.y897 -1.4431048 0.0136083 -106.046 < 2e-16 ***
FID.y898 -3.1180311 0.0157072 -198.509 < 2e-16 ***
FID.y899 -3.0900952 0.0167583 -184.392 < 2e-16 ***
FID.y900 -2.4244213 0.0147744 -164.096 < 2e-16 ***
FID.y901 -3.0448364 0.0164854 -184.699 < 2e-16 ***
FID.y902 -2.9105777 0.0182214 -159.734 < 2e-16 ***
FID.y903 -2.4437751 0.0138823 -176.035 < 2e-16 ***
FID.y904 -3.5293847 0.0159415 -221.396 < 2e-16 ***
FID.y906 -2.5788715 0.0199764 -129.096 < 2e-16 ***
FID.y908 -1.0817077 0.0130202 -83.079 < 2e-16 ***
FID.y909 -2.3203280 0.0135703 -170.986 < 2e-16 ***
FID.y914 -2.1241488 0.0173034 -122.759 < 2e-16 ***
FID.y915 -0.6406985 0.0138787 -46.164 < 2e-16 ***
FID.y916 -2.0571433 0.0146236 -140.673 < 2e-16 ***
FID.y917 -3.6759917 0.0201216 -182.689 < 2e-16 ***
FID.y918 -0.9525821 0.0132071 -72.126 < 2e-16 ***
FID.y919 -0.9342328 0.0130806 -71.421 < 2e-16 ***
FID.y921 -3.3671201 0.0174197 -193.294 < 2e-16 ***
FID.y922 -2.3868793 0.0138348 -172.527 < 2e-16 ***
FID.y926 -3.4115223 0.0181203 -188.270 < 2e-16 ***
FID.y927 -2.5329749 0.0141654 -178.814 < 2e-16 ***
FID.y928 -6.7034577 0.0603054 -111.158 < 2e-16 ***
FID.y934 -1.4832633 0.0142109 -104.375 < 2e-16 ***
FID.y935 -0.9781746 0.0133166 -73.455 < 2e-16 ***
FID.y936 -1.1491791 0.0133918 -85.812 < 2e-16 ***
FID.y937 -0.7010180 0.0131009 -53.509 < 2e-16 ***
FID.y938 -2.0482426 0.0138794 -147.575 < 2e-16 ***
FID.y944 -1.8113968 0.0166212 -108.981 < 2e-16 ***
FID.y946 -2.5516794 0.0138715 -183.951 < 2e-16 ***
FID.y947 -2.3189296 0.0138694 -167.197 < 2e-16 ***
FID.y952 -0.6382488 0.0133984 -47.636 < 2e-16 ***
FID.y953 -1.0149471 0.0134652 -75.375 < 2e-16 ***
FID.y954 -2.2256882 0.0148523 -149.855 < 2e-16 ***
FID.y955 -2.7616906 0.0166136 -166.230 < 2e-16 ***
FID.y963 -5.1888206 0.0880243 -58.948 < 2e-16 ***
FID.y965 -1.5970865 0.0132431 -120.598 < 2e-16 ***
FID.y966 -1.0714999 0.0135068 -79.331 < 2e-16 ***
FID.y971 -2.7621288 0.0184011 -150.107 < 2e-16 ***
FID.y972 -1.1321142 0.0138858 -81.531 < 2e-16 ***
FID.y973 -1.9314361 0.0142121 -135.901 < 2e-16 ***
FID.y974 -2.7736959 0.0161227 -172.037 < 2e-16 ***
FID.y976 -1.6269804 0.0137825 -118.047 < 2e-16 ***
FID.y98 -1.8329824 0.0281085 -65.211 < 2e-16 ***
FID.y982 -3.4664296 0.0576136 -60.167 < 2e-16 ***
FID.y984 -2.3862643 0.0139985 -170.466 < 2e-16 ***
FID.y985 -2.0781010 0.0137473 -151.165 < 2e-16 ***
FID.y989 -4.2669608 0.0497801 -85.716 < 2e-16 ***
FID.y99 -4.2716967 0.1012969 -42.170 < 2e-16 ***
FID.y990 -1.8547928 0.0184186 -100.702 < 2e-16 ***
FID.y991 -1.6258490 0.0195327 -83.237 < 2e-16 ***
FID.y992 -0.9163499 0.0132103 -69.366 < 2e-16 ***
FID.y993 -3.6608946 0.0249540 -146.706 < 2e-16 ***
FID.y994 -2.2861999 0.0146667 -155.877 < 2e-16 ***
log(RETAIL_COUNT) NA NA NA NA
log(BUSINESS_COUNT) NA NA NA NA
log(HDB_COUNT) NA NA NA NA
log(TRAIN_COUNT) NA NA NA NA
log(BUS_STOP_COUNT) NA NA NA NA
log(dist) -1.6068374 0.0002908 -5526.512 < 2e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(Dispersion parameter for poisson family taken to be 1)
Null deviance: 97811051 on 65110 degrees of freedom
Residual deviance: 24712740 on 63482 degrees of freedom
AIC: 25074277
Number of Fisher Scoring iterations: 7Goodness of Fit
CalcRSquared(dbcSIM_Poisson$data$MORNING_PEAK,
dbcSIM_Poisson$fitted.values)[1] 0.5745437Model comparison
create a model_list to store all the previous 4 models
model_list <- list(
Unconstrained= uncSIM,
Origin_Constrained = orcSIM,
Destination_Constrained = decSIM,
Doubly_Constrained = dbcSIM_Poisson)we will compute the RMSE of all the models in model_list file
compare_performance(model_list,
metrics = "RMSE")# Comparison of Model Performance Indices
Name | Model | RMSE
------------------------------------------
Unconstrained | glm | 1624.851
Origin_Constrained | glm | 1412.645
Destination_Constrained | glm | 1495.028
Doubly_Constrained | glm | 1175.662The print above reveals that doubly constrained SIM is the best model among the 4 SIMs because it has the smallest RMSE value.
Visualising fitted values
extract the fitted values from Origin-constrained Model by using the code chunk below.
df <- as.data.frame(orcSIM$fitted.values) %>%
round(digits = 0)append the fitted values into inter_zonal_flow data frame by using the code chunk below.
inter_zonal_flow <- inter_zonal_flow %>%
cbind(df) %>%
rename(orcTRIPS = "orcSIM$fitted.values")do the same for dbcSIM_Poisson
df1 <- as.data.frame(dbcSIM_Poisson$fitted.values) %>%
round(digits = 0)
inter_zonal_flow <- inter_zonal_flow %>%
cbind(df1) %>%
rename(dbcTRIPS = "dbcSIM_Poisson$fitted.values")do the same for uncSIM
df2 <- as.data.frame(uncSIM$fitted.values) %>%
round(digits = 0)
inter_zonal_flow <- inter_zonal_flow %>%
cbind(df2) %>%
rename(uncTRIPS = "uncSIM$fitted.values")do the same for decSIM
df3 <- as.data.frame(decSIM$fitted.values) %>%
round(digits = 0)
inter_zonal_flow <- inter_zonal_flow %>%
cbind(df3) %>%
rename(decTRIPS = "decSIM$fitted.values")Plot 4 scatterplots by using geom_point() and other appropriate functions of ggplot2 package
orc_p <- ggplot(data = inter_zonal_flow,
aes(x = orcTRIPS,
y = MORNING_PEAK)) +
geom_point() +
geom_smooth(method = lm) +
coord_cartesian(xlim=c(0,100000),
ylim=c(0,100000))
dbc_p <- ggplot(data = inter_zonal_flow,
aes(x = dbcTRIPS,
y = MORNING_PEAK)) +
geom_point() +
geom_smooth(method = lm) +
coord_cartesian(xlim=c(0,100000),
ylim=c(0,100000))
unc_p <- ggplot(data = inter_zonal_flow,
aes(x = uncTRIPS,
y = MORNING_PEAK)) +
geom_point() +
geom_smooth(method = lm) +
coord_cartesian(xlim=c(0,100000),
ylim=c(0,100000))
dec_p <- ggplot(data = inter_zonal_flow,
aes(x = decTRIPS,
y = MORNING_PEAK)) +
geom_point() +
geom_smooth(method = lm) +
coord_cartesian(xlim=c(0,100000),
ylim=c(0,100000))ggarrange(unc_p, orc_p, dec_p, dbc_p,
ncol = 2,
nrow = 2)`geom_smooth()` using formula = 'y ~ x'
`geom_smooth()` using formula = 'y ~ x'
`geom_smooth()` using formula = 'y ~ x'
`geom_smooth()` using formula = 'y ~ x'
Modelling Results
In conclusion, the comparative analysis of the four Spatial Interaction Models (SIMs) – Unconstrained, Origin Constrained, Destination Constrained, and Doubly Constrained – revealed that the Doubly Constrained Model is the most effective for our study on morning peak public transport flows. This model stood out with the highest goodness of fit and the lowest RMSE value, indicating its superior accuracy and predictive capability. It adeptly accounted for the limitations and capacities at both the origins and destinations, capturing the complex dynamics of urban transportation more holistically than the other models.
From unconstrained model we can see the significance of variables:
log(RETAIL_COUNT) (0.06166) - an increase in the log of retail count is associated with an increase in MORNING_PEAK traffic. The positive coefficient suggests that areas with more retail outlets tend to experience slightly higher commuter traffic during the morning peak.
log(BUSINESS_COUNT) (-0.02176) - an increase in the number of businesses is associated with a slight decrease in MORNING_PEAK traffic. This could imply that areas with a higher concentration of businesses might see slightly less bus traffic, possibly due to commuters change to MRT or cab or other private transport.
log(HDB_COUNT) (0.11907) - a higher count of HDB residences, when log-transformed, are likely to experience higher morning peak traffic. This aligns with the expectation that more residential units contribute to higher public transport usage.
log(TRAIN_COUNT) (0.49000) - a higher log of train station exit count significantly increases MORNING_PEAK traffic. This substantial positive coefficient indicates a strong relationship between the availability of train exits and bus commuter traffic, underscoring the importance of train-to-bus connectivity.
log(BUS_STOP_COUNT) (0.20603) - Similar to retail and HDB counts, a higher log of bus stop count leads to an increase in MORNING_PEAK traffic. This positive coefficient highlights the role of bus stop density in influencing commuter flows.
log(dist) (-1.45718) - an increase in the log-transformed distance significantly decreases MORNING_PEAK traffic. The strong negative value indicates that as distance increases, the likelihood of using bus services during peak hours decreases, possibly due to commuters opting for faster modes of transport for longer distances.
Conclusion
In this report, we conducted a thorough analysis of urban mobility, with a particular focus on the dynamics of Singapore’s public bus commuter flows during weekday morning peak hours. Leveraging the capabilities of advanced Spatial Interaction Models (SIMs), our objective was to unravel the intricate aspects of public transportation and identify the key factors that shape commuter behavior and transit usage.
Our findings from the analysis illuminate the primary influences on morning peak bus traffic. Notably, the accessibility of train stations, the density of residential areas (as indicated by HDB counts), and the abundance of bus stops emerged as significant positive drivers of bus commuter flow. These factors underscore the critical interplay between public transport modes and urban residential patterns in shaping commuter preferences. Conversely, an increased business count and greater commuting distances were found to negatively impact bus traffic, suggesting a preference for alternative transport modes or routes under such conditions.