缺失值处理
VIM
这个包是专门对缺失值进行可视化以及进行填补的
aggr
library(VIM)
data(sleep, package="VIM")
## for missing values
a <- aggr(sleep)
a##
## Missings in variables:
## Variable Count
## NonD 14
## Dream 12
## Sleep 4
## Span 4
## Gest 4sleep 这个数据集合一共有62行，10个特征，a的结果返回了每一个特征缺失值的数量。 图形是对每个特征缺失值比例进行的可视化
barMiss
data(sleep, package = "VIM")
## for missing values
x <- sleep[, c("Exp", "Sleep")]
barMiss(x)
##
## Click in in the left margin to switch to the previous variable or in the right margin to switch to the next variable.
## To regain use of the VIM GUI and the R console, click anywhere else in the graphics window.barMiss(x, only.miss = FALSE)
##
## Click in in the left margin to switch to the previous variable or in the right margin to switch to the next variable.
## To regain use of the VIM GUI and the R console, click anywhere else in the graphics window.## for imputed values
x_IMPUTED <- kNN(sleep[, c("Exp", "Sleep")])
barMiss(x_IMPUTED, delimiter = "_imp")
##
## Click in in the left margin to switch to the previous variable or in the right margin to switch to the next variable.
## To regain use of the VIM GUI and the R console, click anywhere else in the graphics window.barMiss(x_IMPUTED, delimiter = "_imp", only.miss = FALSE)
##
## Click in in the left margin to switch to the previous variable or in the right margin to switch to the next variable.
## To regain use of the VIM GUI and the R console, click anywhere else in the graphics window.Exp 的取值为1-5，这个图横坐标为Exp，显示了每个值对应的Sleep中，缺失值所占的比例，可以看到，当Exp=5的时候，sleep缺失值比较多。
后面那种方式对填补之后的结果进行的可视化
countInf
计算缺失值或者无穷大值的多少
countInf(sleep$NonD)## [1] 0countNA(sleep$NonD)## [1] 14gapMiss
v <- rnorm(20)
v[3] <- NA
v[6:9] <- NA
v[13:17] <- NA
v## [1] 0.850553205 1.090344221 NA 0.009870871 -1.969828690
## [6] NA NA NA NA -0.214472453
## [11] 1.121434598 1.065304115 NA NA NA
## [16] NA NA 0.364172634 0.783625732 -1.526632228gapMiss(v)## [1] 3.333333gapMiss(v, what = median)## [1] 4这个是用于计算数据见缺失值的gap，就是缺失值之间的间隔是多少
KNN
利用K nearest neighbor进行缺失值填补
data(sleep)
kNN(sleep)## BodyWgt BrainWgt NonD Dream Sleep Span Gest Pred Exp Danger
## 1 6654.000 5712.00 3.2 0.8 3.3 38.6 645.0 3 5 3
## 2 1.000 6.60 6.3 2.0 8.3 4.5 42.0 3 1 3
## 3 3.385 44.50 12.8 2.4 12.5 14.0 60.0 1 1 1
## 4 0.920 5.70 10.4 2.4 16.5 3.2 25.0 5 2 3
## 5 2547.000 4603.00 2.1 1.8 3.9 69.0 624.0 3 5 4
## 6 10.550 179.50 9.1 0.7 9.8 27.0 180.0 4 4 4
## 7 0.023 0.30 15.8 3.9 19.7 19.0 35.0 1 1 1
## 8 160.000 169.00 5.2 1.0 6.2 30.4 392.0 4 5 4
## 9 3.300 25.60 10.9 3.6 14.5 28.0 63.0 1 2 1
## 10 52.160 440.00 8.3 1.4 9.7 50.0 230.0 1 1 1
## 11 0.425 6.40 11.0 1.5 12.5 7.0 112.0 5 4 4
## 12 465.000 423.00 3.2 0.7 3.9 30.0 281.0 5 5 5
## 13 0.550 2.40 7.6 2.7 10.3 7.0 45.0 2 1 2
## 14 187.100 419.00 3.2 0.7 3.1 40.0 365.0 5 5 5
## 15 0.075 1.20 6.3 2.1 8.4 3.5 42.0 1 1 1
## 16 3.000 25.00 8.6 0.0 8.6 50.0 28.0 2 2 2
## 17 0.785 3.50 6.6 4.1 10.7 6.0 42.0 2 2 2
## 18 0.200 5.00 9.5 1.2 10.7 10.4 120.0 2 2 2
## 19 1.410 17.50 4.8 1.3 6.1 34.0 225.0 1 2 1
## 20 60.000 81.00 12.0 6.1 18.1 7.0 35.0 1 1 1
## 21 529.000 680.00 3.2 0.3 3.8 28.0 400.0 5 5 5
## 22 27.660 115.00 3.3 0.5 3.8 20.0 148.0 5 5 5
## 23 0.120 1.00 11.0 3.4 14.4 3.9 16.0 3 1 2
## 24 207.000 406.00 8.3 1.5 12.0 39.3 252.0 1 4 1
## 25 85.000 325.00 4.7 1.5 6.2 41.0 310.0 1 3 1
## 26 36.330 119.50 12.8 2.4 13.0 16.2 63.0 1 1 1
## 27 0.101 4.00 10.4 3.4 13.8 9.0 28.0 5 1 3
## 28 1.040 5.50 7.4 0.8 8.2 7.6 68.0 5 3 4
## 29 521.000 655.00 2.1 0.8 2.9 46.0 336.0 5 5 5
## 30 100.000 157.00 10.9 2.3 10.8 22.4 100.0 1 1 1
## 31 35.000 56.00 11.0 0.9 9.8 16.3 33.0 3 5 4
## 32 0.005 0.14 7.7 1.4 9.1 2.6 21.5 5 2 4
## 33 0.010 0.25 17.9 2.0 19.9 24.0 50.0 1 1 1
## 34 62.000 1320.00 6.1 1.9 8.0 100.0 267.0 1 1 1
## 35 0.122 3.00 8.2 2.4 10.6 9.8 30.0 2 1 1
## 36 1.350 8.10 8.4 2.8 11.2 3.9 45.0 3 1 3
## 37 0.023 0.40 11.9 1.3 13.2 3.2 19.0 4 1 3
## 38 0.048 0.33 10.8 2.0 12.8 2.0 30.0 4 1 3
## 39 1.700 6.30 13.8 5.6 19.4 5.0 12.0 2 1 1
## 40 3.500 10.80 14.3 3.1 17.4 6.5 120.0 2 1 1
## 41 250.000 490.00 3.2 1.0 3.1 23.6 440.0 5 5 5
## 42 0.480 15.50 15.2 1.8 17.0 12.0 140.0 2 2 2
## 43 10.000 115.00 10.0 0.9 10.9 20.2 170.0 4 4 4
## 44 1.620 11.40 11.9 1.8 13.7 13.0 17.0 2 1 2
## 45 192.000 180.00 6.5 1.9 8.4 27.0 115.0 4 4 4
## 46 2.500 12.10 7.5 0.9 8.4 18.0 31.0 5 5 5
## 47 4.288 39.20 11.0 1.8 12.5 13.7 63.0 2 2 2
## 48 0.280 1.90 10.6 2.6 13.2 4.7 21.0 3 1 3
## 49 4.235 50.40 7.4 2.4 9.8 9.8 52.0 1 1 1
## 50 6.800 179.00 8.4 1.2 9.6 29.0 164.0 2 3 2
## 51 0.750 12.30 5.7 0.9 6.6 7.0 225.0 2 2 2
## 52 3.600 21.00 4.9 0.5 5.4 6.0 225.0 3 2 3
## 53 14.830 98.20 3.2 0.7 2.6 17.0 150.0 5 5 5
## 54 55.500 175.00 3.2 0.6 3.8 20.0 151.0 5 5 5
## 55 1.400 12.50 11.0 1.8 11.0 12.7 90.0 2 2 2
## 56 0.060 1.00 8.1 2.2 10.3 3.5 42.0 3 1 2
## 57 0.900 2.60 11.0 2.3 13.3 4.5 60.0 2 1 2
## 58 2.000 12.30 4.9 0.5 5.4 7.5 200.0 3 1 3
## 59 0.104 2.50 13.2 2.6 15.8 2.3 46.0 3 2 2
## 60 4.190 58.00 9.7 0.6 10.3 24.0 210.0 4 3 4
## 61 3.500 3.90 12.8 6.6 19.4 3.0 14.0 2 1 1
## 62 4.050 17.00 13.8 3.9 17.4 13.0 38.0 3 1 1
## BodyWgt_imp BrainWgt_imp NonD_imp Dream_imp Sleep_imp Span_imp Gest_imp
## 1 FALSE FALSE TRUE TRUE FALSE FALSE FALSE
## 2 FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## 3 FALSE FALSE TRUE TRUE FALSE FALSE FALSE
## 4 FALSE FALSE TRUE TRUE FALSE TRUE FALSE
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## 58 FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## 59 FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## 60 FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## 61 FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## 62 FALSE FALSE TRUE TRUE TRUE FALSE FALSE
## Pred_imp Exp_imp Danger_imp
## 1 FALSE FALSE FALSE
## 2 FALSE FALSE FALSE
## 3 FALSE FALSE FALSE
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## 58 FALSE FALSE FALSE
## 59 FALSE FALSE FALSE
## 60 FALSE FALSE FALSE
## 61 FALSE FALSE FALSE
## 62 FALSE FALSE FALSElibrary(laeken)
kNN(sleep, numFun = weightedMean, weightDist=TRUE)## BodyWgt BrainWgt NonD Dream Sleep Span Gest
## 1 6654.000 5712.00 3.621115 1.0244651 3.300000 38.600000 645.00000
## 2 1.000 6.60 6.300000 2.0000000 8.300000 4.500000 42.00000
## 3 3.385 44.50 12.130785 2.7984870 12.500000 14.000000 60.00000
## 4 0.920 5.70 10.011620 2.4135093 16.500000 4.337617 25.00000
## 5 2547.000 4603.00 2.100000 1.8000000 3.900000 69.000000 624.00000
## 6 10.550 179.50 9.100000 0.7000000 9.800000 27.000000 180.00000
## 7 0.023 0.30 15.800000 3.9000000 19.700000 19.000000 35.00000
## 8 160.000 169.00 5.200000 1.0000000 6.200000 30.400000 392.00000
## 9 3.300 25.60 10.900000 3.6000000 14.500000 28.000000 63.00000
## 10 52.160 440.00 8.300000 1.4000000 9.700000 50.000000 230.00000
## 11 0.425 6.40 11.000000 1.5000000 12.500000 7.000000 112.00000
## 12 465.000 423.00 3.200000 0.7000000 3.900000 30.000000 281.00000
## 13 0.550 2.40 7.600000 2.7000000 10.300000 12.348960 47.75702
## 14 187.100 419.00 3.370754 0.7184306 3.100000 40.000000 365.00000
## 15 0.075 1.20 6.300000 2.1000000 8.400000 3.500000 42.00000
## 16 3.000 25.00 8.600000 0.0000000 8.600000 50.000000 28.00000
## 17 0.785 3.50 6.600000 4.1000000 10.700000 6.000000 42.00000
## 18 0.200 5.00 9.500000 1.2000000 10.700000 10.400000 120.00000
## 19 1.410 17.50 4.800000 1.3000000 6.100000 34.000000 173.78512
## 20 60.000 81.00 12.000000 6.1000000 18.100000 7.000000 48.10889
## 21 529.000 680.00 3.389039 0.3000000 3.496601 28.000000 400.00000
## 22 27.660 115.00 3.300000 0.5000000 3.800000 20.000000 148.00000
## 23 0.120 1.00 11.000000 3.4000000 14.400000 3.900000 16.00000
## 24 207.000 406.00 7.930240 2.0051906 12.000000 39.300000 252.00000
## 25 85.000 325.00 4.700000 1.5000000 6.200000 41.000000 310.00000
## 26 36.330 119.50 12.140941 2.8012782 13.000000 16.200000 63.00000
## 27 0.101 4.00 10.400000 3.4000000 13.800000 9.000000 28.00000
## 28 1.040 5.50 7.400000 0.8000000 8.200000 7.600000 68.00000
## 29 521.000 655.00 2.100000 0.8000000 2.900000 46.000000 336.00000
## 30 100.000 157.00 10.628498 2.3640501 10.800000 22.400000 100.00000
## 31 35.000 56.00 10.683888 0.8764794 10.005650 16.300000 33.00000
## 32 0.005 0.14 7.700000 1.4000000 9.100000 2.600000 21.50000
## 33 0.010 0.25 17.900000 2.0000000 19.900000 24.000000 50.00000
## 34 62.000 1320.00 6.100000 1.9000000 8.000000 100.000000 267.00000
## 35 0.122 3.00 8.200000 2.4000000 10.600000 10.833181 30.00000
## 36 1.350 8.10 8.400000 2.8000000 11.200000 3.673929 45.00000
## 37 0.023 0.40 11.900000 1.3000000 13.200000 3.200000 19.00000
## 38 0.048 0.33 10.800000 2.0000000 12.800000 2.000000 30.00000
## 39 1.700 6.30 13.800000 5.6000000 19.400000 5.000000 12.00000
## 40 3.500 10.80 14.300000 3.1000000 17.400000 6.500000 120.00000
## 41 250.000 490.00 4.234588 1.0000000 3.261678 23.600000 440.00000
## 42 0.480 15.50 15.200000 1.8000000 17.000000 12.000000 140.00000
## 43 10.000 115.00 10.000000 0.9000000 10.900000 20.200000 170.00000
## 44 1.620 11.40 11.900000 1.8000000 13.700000 13.000000 17.00000
## 45 192.000 180.00 6.500000 1.9000000 8.400000 27.000000 115.00000
## 46 2.500 12.10 7.500000 0.9000000 8.400000 18.000000 31.00000
## 47 4.288 39.20 10.951784 2.2373985 12.500000 13.700000 63.00000
## 48 0.280 1.90 10.600000 2.6000000 13.200000 4.700000 21.00000
## 49 4.235 50.40 7.400000 2.4000000 9.800000 9.800000 52.00000
## 50 6.800 179.00 8.400000 1.2000000 9.600000 29.000000 164.00000
## 51 0.750 12.30 5.700000 0.9000000 6.600000 7.000000 225.00000
## 52 3.600 21.00 4.900000 0.5000000 5.400000 6.000000 225.00000
## 53 14.830 98.20 3.859326 0.6952781 2.600000 17.000000 150.00000
## 54 55.500 175.00 3.200000 0.6000000 3.800000 20.000000 151.00000
## 55 1.400 12.50 10.928583 2.2379005 11.000000 12.700000 90.00000
## 56 0.060 1.00 8.100000 2.2000000 10.300000 3.500000 38.62720
## 57 0.900 2.60 11.000000 2.3000000 13.300000 4.500000 60.00000
## 58 2.000 12.30 4.900000 0.5000000 5.400000 7.500000 200.00000
## 59 0.104 2.50 13.200000 2.6000000 15.800000 2.300000 46.00000
## 60 4.190 58.00 9.700000 0.6000000 10.300000 24.000000 210.00000
## 61 3.500 3.90 12.800000 6.6000000 19.400000 3.000000 14.00000
## 62 4.050 17.00 13.542726 4.5441878 18.060387 13.000000 38.00000
## Pred Exp Danger BodyWgt_imp BrainWgt_imp NonD_imp Dream_imp Sleep_imp
## 1 3 5 3 FALSE FALSE TRUE TRUE FALSE
## 2 3 1 3 FALSE FALSE FALSE FALSE FALSE
## 3 1 1 1 FALSE FALSE TRUE TRUE FALSE
## 4 5 2 3 FALSE FALSE TRUE TRUE FALSE
## 5 3 5 4 FALSE FALSE FALSE FALSE FALSE
## 6 4 4 4 FALSE FALSE FALSE FALSE FALSE
## 7 1 1 1 FALSE FALSE FALSE FALSE FALSE
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## 10 1 1 1 FALSE FALSE FALSE FALSE FALSE
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## 19 1 2 1 FALSE FALSE FALSE FALSE FALSE
## 20 1 1 1 FALSE FALSE FALSE FALSE FALSE
## 21 5 5 5 FALSE FALSE TRUE FALSE TRUE
## 22 5 5 5 FALSE FALSE FALSE FALSE FALSE
## 23 3 1 2 FALSE FALSE FALSE FALSE FALSE
## 24 1 4 1 FALSE FALSE TRUE TRUE FALSE
## 25 1 3 1 FALSE FALSE FALSE FALSE FALSE
## 26 1 1 1 FALSE FALSE TRUE TRUE FALSE
## 27 5 1 3 FALSE FALSE FALSE FALSE FALSE
## 28 5 3 4 FALSE FALSE FALSE FALSE FALSE
## 29 5 5 5 FALSE FALSE FALSE FALSE FALSE
## 30 1 1 1 FALSE FALSE TRUE TRUE FALSE
## 31 3 5 4 FALSE FALSE TRUE TRUE TRUE
## 32 5 2 4 FALSE FALSE FALSE FALSE FALSE
## 33 1 1 1 FALSE FALSE FALSE FALSE FALSE
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## 36 3 1 3 FALSE FALSE FALSE FALSE FALSE
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## 38 4 1 3 FALSE FALSE FALSE FALSE FALSE
## 39 2 1 1 FALSE FALSE FALSE FALSE FALSE
## 40 2 1 1 FALSE FALSE FALSE FALSE FALSE
## 41 5 5 5 FALSE FALSE TRUE FALSE TRUE
## 42 2 2 2 FALSE FALSE FALSE FALSE FALSE
## 43 4 4 4 FALSE FALSE FALSE FALSE FALSE
## 44 2 1 2 FALSE FALSE FALSE FALSE FALSE
## 45 4 4 4 FALSE FALSE FALSE FALSE FALSE
## 46 5 5 5 FALSE FALSE FALSE FALSE FALSE
## 47 2 2 2 FALSE FALSE TRUE TRUE FALSE
## 48 3 1 3 FALSE FALSE FALSE FALSE FALSE
## 49 1 1 1 FALSE FALSE FALSE FALSE FALSE
## 50 2 3 2 FALSE FALSE FALSE FALSE FALSE
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## 52 3 2 3 FALSE FALSE FALSE FALSE FALSE
## 53 5 5 5 FALSE FALSE TRUE TRUE FALSE
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## 55 2 2 2 FALSE FALSE TRUE TRUE FALSE
## 56 3 1 2 FALSE FALSE FALSE FALSE FALSE
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## 58 3 1 3 FALSE FALSE FALSE FALSE FALSE
## 59 3 2 2 FALSE FALSE FALSE FALSE FALSE
## 60 4 3 4 FALSE FALSE FALSE FALSE FALSE
## 61 2 1 1 FALSE FALSE FALSE FALSE FALSE
## 62 3 1 1 FALSE FALSE TRUE TRUE TRUE
## Span_imp Gest_imp Pred_imp Exp_imp Danger_imp
## 1 FALSE FALSE FALSE FALSE FALSE
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## 59 FALSE FALSE FALSE FALSE FALSE
## 60 FALSE FALSE FALSE FALSE FALSE
## 61 FALSE FALSE FALSE FALSE FALSE
## 62 FALSE FALSE FALSE FALSE FALSEhistMiss
data(tao, package = "VIM")
## for missing values
x <- tao[, c("Air.Temp", "Humidity")]
histMiss(x)
##
## Click in in the left margin to switch to the previous variable or in the right margin to switch to the next variable.
## To regain use of the VIM GUI and the R console, click anywhere else in the graphics window.histMiss(x, only.miss = FALSE)
##
## Click in in the left margin to switch to the previous variable or in the right margin to switch to the next variable.
## To regain use of the VIM GUI and the R console, click anywhere else in the graphics window.## for imputed values
x_IMPUTED <- kNN(tao[, c("Air.Temp", "Humidity")])
histMiss(x_IMPUTED, delimiter = "_imp")
##
## Click in in the left margin to switch to the previous variable or in the right margin to switch to the next variable.
## To regain use of the VIM GUI and the R console, click anywhere else in the graphics window.histMiss(x_IMPUTED, delimiter = "_imp", only.miss = FALSE)
##
## Click in in the left margin to switch to the previous variable or in the right margin to switch to the next variable.
## To regain use of the VIM GUI and the R console, click anywhere else in the graphics window.怎么理解这个图呢
Hot Deck 插值法
data(sleep)
sleepI <- hotdeck(sleep)
sleepI2 <- hotdeck(sleep,ord_var="BodyWgt",domain_var="Pred")
set.seed(132)
nRows <- 1e3
# Generate a data set with nRows rows and several variables
x<-data.frame(x=rnorm(nRows),y=rnorm(nRows),z=sample(LETTERS,nRows,replace=TRUE),
d1=sample(LETTERS[1:3],nRows,replace=TRUE),d2=sample(LETTERS[1:2],nRows,replace=TRUE),
o1=rnorm(nRows),o2=rnorm(nRows),o3=rnorm(100))
origX <- x
x[sample(1:nRows,nRows/10),1] <- NA
x[sample(1:nRows,nRows/10),2] <- NA
x[sample(1:nRows,nRows/10),3] <- NA
x[sample(1:nRows,nRows/10),4] <- NA
xImp <- hotdeck(x,ord_var = c("o1","o2","o3"),domain_var="d2")iimagMiss
data(sleep, package = "VIM")
## for missing values
x <- sleep[, -(8:10)]
x[,c(1,2,4,6,7)] <- log10(x[,c(1,2,4,6,7)])
matrixplot(x, sortby = "BrainWgt")## Warning in matrixplot_work(x, delimiter, sortby, col, fixup, xlim, ylim, :
## variable 'Dream' contains infinite values
##
## Click in a column to sort by the corresponding variable.
## To regain use of the VIM GUI and the R console, click outside the plot region.## for imputed values
x_imp <- kNN(sleep[, -(8:10)])
x_imp[,c(1,2,4,6,7)] <- log10(x_imp[,c(1,2,4,6,7)])
matrixplot(x_imp, delimiter = "_imp", sortby = "BrainWgt")## Warning in matrixplot_work(x, delimiter, sortby, col, fixup, xlim, ylim, :
## variable 'Dream' contains infinite values
##
## Click in a column to sort by the corresponding variable.
## To regain use of the VIM GUI and the R console, click outside the plot region.Iterative robust model-based imputation
data(sleep)
irmi(sleep)
data(testdata)
imp_testdata1 <- irmi(testdata$wna,mixed=testdata$mixed)
# mixed.constant != 0 (-10)
testdata$wna$m1[testdata$wna$m1==0] <- -10
testdata$wna$m2 <- log(testdata$wna$m2+0.001)
imp_testdata2 <- irmi(testdata$wna,mixed=testdata$mixed,mixed.constant=c(-10,log(0.001)))
imp_testdata2$m2 <- exp(imp_testdata2$m2)-0.001
#example with fixed formulas for the variables with missing
form=list(
NonD=c("BodyWgt","BrainWgt"),
Dream=c("BodyWgt","BrainWgt"),
Sleep=c("BrainWgt"),
Span=c("BodyWgt"),
Gest=c("BodyWgt","BrainWgt")
)
irmi(sleep,modelFormulas=form,trace=TRUE)## Method for multinomial models:multinom## BodyWgt BrainWgt NonD Dream Sleep Span Gest Pred Exp Danger
## 1 6654.000 5712.0 3.2 0.8 3.3 38.6 645 3 5 3
## 2 1.000 6.6 6.3 2.0 8.3 4.5 42 3 1 3
## 3 3.385 44.5 12.8 2.4 12.5 14.0 60 1 1 1
## 4 0.920 5.7 10.4 2.4 16.5 3.2 25 5 2 3
## 5 2547.000 4603.0 2.1 1.8 3.9 69.0 624 3 5 4
## 6 10.550 179.5 9.1 0.7 9.8 27.0 180 4 4 4## Iteration1## [1] "inner loop: 3"
## [1] "numeric"
## [1] "numeric"
## [1] "formula used: NonD ~ BodyWgt+BrainWgt"
## [1] "inner loop: 4"
## [1] "numeric"
## [1] "numeric"
## [1] "formula used: Dream ~ BodyWgt+BrainWgt"
## [1] "inner loop: 5"
## [1] "numeric"
## [1] "numeric"
## [1] "formula used: Sleep ~ BrainWgt"
## [1] "inner loop: 6"
## [1] "numeric"
## [1] "numeric"
## [1] "formula used: Span ~ BodyWgt"
## [1] "inner loop: 7"
## [1] "numeric"
## [1] "numeric"
## [1] "formula used: Gest ~ BodyWgt+BrainWgt"
## [1] "it = 1 , Wert = 28319.772541325"
## [1] "eps 5"
## [1] "test: TRUE"## Iteration2## [1] "inner loop: 3"
## [1] "numeric"
## [1] "numeric"
## [1] "formula used: NonD ~ BodyWgt+BrainWgt"
## [1] "inner loop: 4"
## [1] "numeric"
## [1] "numeric"
## [1] "formula used: Dream ~ BodyWgt+BrainWgt"
## [1] "inner loop: 5"
## [1] "numeric"
## [1] "numeric"
## [1] "formula used: Sleep ~ BrainWgt"
## [1] "inner loop: 6"
## [1] "numeric"
## [1] "numeric"
## [1] "formula used: Span ~ BodyWgt"
## [1] "inner loop: 7"
## [1] "numeric"
## [1] "numeric"
## [1] "formula used: Gest ~ BodyWgt+BrainWgt"
## [1] "it = 2 , Wert = 10.6447267589893"
## [1] "eps 5"
## [1] "test: TRUE"## Iteration3## [1] "inner loop: 3"
## [1] "numeric"
## [1] "numeric"
## [1] "formula used: NonD ~ BodyWgt+BrainWgt"
## [1] "inner loop: 4"
## [1] "numeric"
## [1] "numeric"
## [1] "formula used: Dream ~ BodyWgt+BrainWgt"
## [1] "inner loop: 5"
## [1] "numeric"
## [1] "numeric"
## [1] "formula used: Sleep ~ BrainWgt"
## [1] "inner loop: 6"
## [1] "numeric"
## [1] "numeric"
## [1] "formula used: Span ~ BodyWgt"
## [1] "inner loop: 7"
## [1] "numeric"
## [1] "numeric"
## [1] "formula used: Gest ~ BodyWgt+BrainWgt"
## [1] "it = 3 , Wert = 0.329034689483928"
## [1] "eps 5"
## [1] "test: FALSE"
## [1] "0.329034689483928 < 5 = eps"
## [1] " --> finished after 3 iterations"## Imputation performed on the following data set:## type #missing
## BodyWgt "numeric" "0"
## BrainWgt "numeric" "0"
## NonD "numeric" "14"
## Dream "numeric" "12"
## Sleep "numeric" "4"
## Span "numeric" "4"
## Gest "numeric" "4"
## Pred "integer" "0"
## Exp "integer" "0"
## Danger "integer" "0"## The variables NonD_imp,Dream_imp,Sleep_imp,Span_imp,Gest_imp are added to the data set.# Example with ordered variable
td <- testdata$wna
td$c1 <- as.ordered(td$c1)
irmi(td)mosaicMiss
data(sleep, package = "VIM")
## for missing values
mosaicMiss(sleep, highlight = 4,
plotvars = 8:10, miss.labels = FALSE)
## for imputed values
mosaicMiss(kNN(sleep), highlight = 4,
plotvars = 8:10, delimiter = "_imp", miss.labels = FALSE)
marginplot
data(tao, package = "VIM")
data(chorizonDL, package = "VIM")
## for missing values
marginplot(tao[,c("Air.Temp", "Humidity")])
marginplot(log10(chorizonDL[,c("CaO", "Bi")]))
## for imputed values
marginplot(kNN(tao[,c("Air.Temp", "Humidity")]), delimiter = "_imp")
marginplot(kNN(log10(chorizonDL[,c("CaO", "Bi")])), delimiter = "_imp")
matchImpute
data(sleep,package="VIM")
imp_data <- matchImpute(sleep,variable=c("NonD","Dream","Sleep","Span","Gest"),
match_var=c("Exp","Danger"))
data(testdata,package="VIM")
imp_testdata1 <- matchImpute(testdata$wna,match_var=c("c1","c2","b1","b2"))
dt <- data.table(testdata$wna)
imp_testdata2 <- matchImpute(dt,match_var=c("c1","c2","b1","b2"))regressionImp
用回归进行插值
data(sleep)
sleepImp1 <- regressionImp(Dream+NonD~BodyWgt+BrainWgt,data=sleep)
sleepImp2 <- regressionImp(Sleep+Gest+Span+Dream+NonD~BodyWgt+BrainWgt,data=sleep)
data(testdata)
imp_testdata1 <- regressionImp(b1+b2~x1+x2,data=testdata$wna)## There still missing values in variable b2 . Probably due to missing values in the regressors.imp_testdata3 <- regressionImp(x1~x2,data=testdata$wna,robust=TRUE)## There still missing values in variable x1 . Probably due to missing values in the regressors.naniar
这也是处理缺失值的包，处理缺失值首先是要对缺失值进行探索性分析，包括对缺失值进行数据可视化。然后需要对缺失值进行处理，包括使用插值的方法。
对数据集的整体判断
all_函数和any_函数
library(naniar)
all_complete(sleep)## [1] FALSEany_complete(sleep)## [1] TRUEmiss_case_pct(sleep) # 计算缺失值的比例 百分比## Warning: 'miss_case_pct' is deprecated.
## Use 'pct_miss_case' instead.
## See help("Deprecated")## Warning: 'miss_case_prop' is deprecated.
## Use 'prop_miss_case' instead.
## See help("Deprecated")## [1] 32.25806miss_case_prop(sleep) # 计算缺失值的比例，小数值## Warning: 'miss_case_prop' is deprecated.
## Use 'prop_miss_case' instead.
## See help("Deprecated")## [1] 0.3225806miss_case_summary(sleep) # 不太懂这个什么意思## # A tibble: 62 x 3
## case n_miss pct_miss
## <int> <int> <dbl>
## 1 4 3 30
## 2 31 3 30
## 3 62 3 30
## 4 1 2 20
## 5 3 2 20
## 6 13 2 20
## 7 14 2 20
## 8 21 2 20
## 9 24 2 20
## 10 26 2 20
## # … with 52 more rowsmiss_case_table(sleep) ## # A tibble: 4 x 3
## n_miss_in_case n_cases pct_cases
## <int> <int> <dbl>
## 1 0 42 67.7
## 2 1 5 8.06
## 3 2 12 19.4
## 4 3 3 4.84miss_prop_summary(sleep) # 不太明白## # A tibble: 1 x 3
## df var case
## <dbl> <dbl> <dbl>
## 1 0.0613 0.5 0.323miss_summary(sleep)## # A tibble: 1 x 7
## miss_df_prop miss_var_prop miss_case_prop miss_case_table miss_var_table
## <dbl> <dbl> <dbl> <list> <list>
## 1 0.0613 0.5 0.323 <tibble [4 × 3… <tibble [4 × …
## # … with 2 more variables: miss_var_summary <list>,
## # miss_case_summary <list>miss_var_pct(sleep) # 缺失值特征的比例## Warning: 'miss_var_pct' is deprecated.
## Use 'pct_miss_var' instead.
## See help("Deprecated")## Warning: 'miss_var_prop' is deprecated.
## Use 'prop_miss_var' instead.
## See help("Deprecated")## [1] 50miss_var_prop(sleep)## Warning: 'miss_var_prop' is deprecated.
## Use 'prop_miss_var' instead.
## See help("Deprecated")## [1] 0.5# miss_var_run(sleep)
miss_var_summary(sleep)## # A tibble: 10 x 3
## variable n_miss pct_miss
## <chr> <int> <dbl>
## 1 NonD 14 22.6
## 2 Dream 12 19.4
## 3 Sleep 4 6.45
## 4 Span 4 6.45
## 5 Gest 4 6.45
## 6 BodyWgt 0 0
## 7 BrainWgt 0 0
## 8 Pred 0 0
## 9 Exp 0 0
## 10 Danger 0 0miss_var_table(sleep)## # A tibble: 4 x 3
## n_miss_in_var n_vars pct_vars
## <int> <int> <dbl>
## 1 0 5 50
## 2 4 3 30
## 3 12 1 10
## 4 14 1 10对缺失值的可视化展示
gg_miss_case(sleep) # 怎么理解这个图
gg_miss_case_cumsum(sleep) # 怎么理解
gg_miss_fct(x = riskfactors, fct = marital)## Warning: Factor `marital` contains implicit NA, consider using
## `forcats::fct_explicit_na`
## Warning: Factor `marital` contains implicit NA, consider using
## `forcats::fct_explicit_na`
gg_miss_fct(x = sleep,fct = Exp) # 很好理解，在某一个字段下，其他字段的缺失值情况
gg_miss_upset(sleep) # 不太理解这个图
gg_miss_var(sleep) # 对每个变量的缺失值情况绘图
gg_miss_var_cumsum(sleep) # 缺失值情况的累计图
对缺失值进行填补
impute_below_all(sleep) %>% head()# 我不太清楚这种填补的方式是什么## BodyWgt BrainWgt NonD Dream Sleep Span Gest Pred Exp
## 1 6654.000 5712.0 0.2184285 -0.7859729 3.3 38.600000 645 3 5
## 2 1.000 6.6 6.3000000 2.0000000 8.3 4.500000 42 3 1
## 3 3.385 44.5 0.6204327 -0.6180471 12.5 14.000000 60 1 1
## 4 0.920 5.7 0.2125627 -0.7884232 16.5 -9.706889 25 5 2
## 5 2547.000 4603.0 2.1000000 1.8000000 3.9 69.000000 624 3 5
## 6 10.550 179.5 9.1000000 0.7000000 9.8 27.000000 180 4 4
## Danger
## 1 3
## 2 3
## 3 1
## 4 3
## 5 4
## 6 4impute_mean(sleep$NonD) %>% head()# 用一个特征进行填补## [1] 8.672917 6.300000 8.672917 8.672917 2.100000 9.100000impute_mean_all(sleep) %>% head()# 对一个数据集合进行填补## BodyWgt BrainWgt NonD Dream Sleep Span Gest Pred Exp Danger
## 1 6654.000 5712.0 8.672917 1.972 3.3 38.60000 645 3 5 3
## 2 1.000 6.6 6.300000 2.000 8.3 4.50000 42 3 1 3
## 3 3.385 44.5 8.672917 1.972 12.5 14.00000 60 1 1 1
## 4 0.920 5.7 8.672917 1.972 16.5 19.87759 25 5 2 3
## 5 2547.000 4603.0 2.100000 1.800 3.9 69.00000 624 3 5 4
## 6 10.550 179.5 9.100000 0.700 9.8 27.00000 180 4 4 4impute_median_all(sleep) %>% head()## BodyWgt BrainWgt NonD Dream Sleep Span Gest Pred Exp Danger
## 1 6654.000 5712.0 8.35 1.8 3.3 38.6 645 3 5 3
## 2 1.000 6.6 6.30 2.0 8.3 4.5 42 3 1 3
## 3 3.385 44.5 8.35 1.8 12.5 14.0 60 1 1 1
## 4 0.920 5.7 8.35 1.8 16.5 15.1 25 5 2 3
## 5 2547.000 4603.0 2.10 1.8 3.9 69.0 624 3 5 4
## 6 10.550 179.5 9.10 0.7 9.8 27.0 180 4 4 4missMDA
对缺失值进行的填补
这里提供了很多缺失值的处理方法
library(missMDA)
imputeCA(sleep)## BodyWgt BrainWgt NonD Dream Sleep Span Gest
## [1,] 6654.000 5712.00 43.818114 29.7645150 3.30000 38.600000 645.00000
## [2,] 1.000 6.60 6.300000 2.0000000 8.30000 4.500000 42.00000
## [3,] 3.385 44.50 8.178873 1.9375133 12.50000 14.000000 60.00000
## [4,] 0.920 5.70 11.950403 3.2422019 16.50000 8.857852 25.00000
## [5,] 2547.000 4603.00 2.100000 1.8000000 3.90000 69.000000 624.00000
## [6,] 10.550 179.50 9.100000 0.7000000 9.80000 27.000000 180.00000
## [7,] 0.023 0.30 15.800000 3.9000000 19.70000 19.000000 35.00000
## [8,] 160.000 169.00 5.200000 1.0000000 6.20000 30.400000 392.00000
## [9,] 3.300 25.60 10.900000 3.6000000 14.50000 28.000000 63.00000
## [10,] 52.160 440.00 8.300000 1.4000000 9.70000 50.000000 230.00000
## [11,] 0.425 6.40 11.000000 1.5000000 12.50000 7.000000 112.00000
## [12,] 465.000 423.00 3.200000 0.7000000 3.90000 30.000000 281.00000
## [13,] 0.550 2.40 7.600000 2.7000000 10.30000 6.978855 32.69792
## [14,] 187.100 419.00 9.052054 0.7139115 3.10000 40.000000 365.00000
## [15,] 0.075 1.20 6.300000 2.1000000 8.40000 3.500000 42.00000
## [16,] 3.000 25.00 8.600000 0.0000000 8.60000 50.000000 28.00000
## [17,] 0.785 3.50 6.600000 4.1000000 10.70000 6.000000 42.00000
## [18,] 0.200 5.00 9.500000 1.2000000 10.70000 10.400000 120.00000
## [19,] 1.410 17.50 4.800000 1.3000000 6.10000 34.000000 113.09132
## [20,] 60.000 81.00 12.000000 6.1000000 18.10000 7.000000 44.42415
## [21,] 529.000 680.00 14.272344 0.3000000 14.43812 28.000000 400.00000
## [22,] 27.660 115.00 3.300000 0.5000000 3.80000 20.000000 148.00000
## [23,] 0.120 1.00 11.000000 3.4000000 14.40000 3.900000 16.00000
## [24,] 207.000 406.00 10.517823 1.9578708 12.00000 39.300000 252.00000
## [25,] 85.000 325.00 4.700000 1.5000000 6.20000 41.000000 310.00000
## [26,] 36.330 119.50 8.099945 2.0051791 13.00000 16.200000 63.00000
## [27,] 0.101 4.00 10.400000 3.4000000 13.80000 9.000000 28.00000
## [28,] 1.040 5.50 7.400000 0.8000000 8.20000 7.600000 68.00000
## [29,] 521.000 655.00 2.100000 0.8000000 2.90000 46.000000 336.00000
## [30,] 100.000 157.00 8.515875 2.0582520 10.80000 22.400000 100.00000
## [31,] 35.000 56.00 12.129014 3.3118953 15.26107 16.300000 33.00000
## [32,] 0.005 0.14 7.700000 1.4000000 9.10000 2.600000 21.50000
## [33,] 0.010 0.25 17.900000 2.0000000 19.90000 24.000000 50.00000
## [34,] 62.000 1320.00 6.100000 1.9000000 8.00000 100.000000 267.00000
## [35,] 0.122 3.00 8.200000 2.4000000 10.60000 6.709613 30.00000
## [36,] 1.350 8.10 8.400000 2.8000000 11.20000 8.726897 45.00000
## [37,] 0.023 0.40 11.900000 1.3000000 13.20000 3.200000 19.00000
## [38,] 0.048 0.33 10.800000 2.0000000 12.80000 2.000000 30.00000
## [39,] 1.700 6.30 13.800000 5.6000000 19.40000 5.000000 12.00000
## [40,] 3.500 10.80 14.300000 3.1000000 17.40000 6.500000 120.00000
## [41,] 250.000 490.00 12.176731 1.0000000 12.38621 23.600000 440.00000
## [42,] 0.480 15.50 15.200000 1.8000000 17.00000 12.000000 140.00000
## [43,] 10.000 115.00 10.000000 0.9000000 10.90000 20.200000 170.00000
## [44,] 1.620 11.40 11.900000 1.8000000 13.70000 13.000000 17.00000
## [45,] 192.000 180.00 6.500000 1.9000000 8.40000 27.000000 115.00000
## [46,] 2.500 12.10 7.500000 0.9000000 8.40000 18.000000 31.00000
## [47,] 4.288 39.20 9.039477 2.1598405 12.50000 13.700000 63.00000
## [48,] 0.280 1.90 10.600000 2.6000000 13.20000 4.700000 21.00000
## [49,] 4.235 50.40 7.400000 2.4000000 9.80000 9.800000 52.00000
## [50,] 6.800 179.00 8.400000 1.2000000 9.60000 29.000000 164.00000
## [51,] 0.750 12.30 5.700000 0.9000000 6.60000 7.000000 225.00000
## [52,] 3.600 21.00 4.900000 0.5000000 5.40000 6.000000 225.00000
## [53,] 14.830 98.20 6.741325 0.9309227 2.60000 17.000000 150.00000
## [54,] 55.500 175.00 3.200000 0.6000000 3.80000 20.000000 151.00000
## [55,] 1.400 12.50 8.754534 1.8905463 11.00000 12.700000 90.00000
## [56,] 0.060 1.00 8.100000 2.2000000 10.30000 3.500000 25.09265
## [57,] 0.900 2.60 11.000000 2.3000000 13.30000 4.500000 60.00000
## [58,] 2.000 12.30 4.900000 0.5000000 5.40000 7.500000 200.00000
## [59,] 0.104 2.50 13.200000 2.6000000 15.80000 2.300000 46.00000
## [60,] 4.190 58.00 9.700000 0.6000000 10.30000 24.000000 210.00000
## [61,] 3.500 3.90 12.800000 6.6000000 19.40000 3.000000 14.00000
## [62,] 4.050 17.00 7.578647 1.8983479 9.52804 13.000000 38.00000
## Pred Exp Danger
## [1,] 3 5 3
## [2,] 3 1 3
## [3,] 1 1 1
## [4,] 5 2 3
## [5,] 3 5 4
## [6,] 4 4 4
## [7,] 1 1 1
## [8,] 4 5 4
## [9,] 1 2 1
## [10,] 1 1 1
## [11,] 5 4 4
## [12,] 5 5 5
## [13,] 2 1 2
## [14,] 5 5 5
## [15,] 1 1 1
## [16,] 2 2 2
## [17,] 2 2 2
## [18,] 2 2 2
## [19,] 1 2 1
## [20,] 1 1 1
## [21,] 5 5 5
## [22,] 5 5 5
## [23,] 3 1 2
## [24,] 1 4 1
## [25,] 1 3 1
## [26,] 1 1 1
## [27,] 5 1 3
## [28,] 5 3 4
## [29,] 5 5 5
## [30,] 1 1 1
## [31,] 3 5 4
## [32,] 5 2 4
## [33,] 1 1 1
## [34,] 1 1 1
## [35,] 2 1 1
## [36,] 3 1 3
## [37,] 4 1 3
## [38,] 4 1 3
## [39,] 2 1 1
## [40,] 2 1 1
## [41,] 5 5 5
## [42,] 2 2 2
## [43,] 4 4 4
## [44,] 2 1 2
## [45,] 4 4 4
## [46,] 5 5 5
## [47,] 2 2 2
## [48,] 3 1 3
## [49,] 1 1 1
## [50,] 2 3 2
## [51,] 2 2 2
## [52,] 3 2 3
## [53,] 5 5 5
## [54,] 5 5 5
## [55,] 2 2 2
## [56,] 3 1 2
## [57,] 2 1 2
## [58,] 3 1 3
## [59,] 3 2 2
## [60,] 4 3 4
## [61,] 2 1 1
## [62,] 3 1 1imputeFAMD(sleep)## $tab.disj
## BodyWgt BrainWgt NonD Dream Sleep Span
## [1,] 6654.000 5712.00 -2.515032 0.23237398 3.300000 38.60000
## [2,] 1.000 6.60 6.300000 2.00000000 8.300000 4.50000
## [3,] 3.385 44.50 11.084549 3.05123163 12.500000 14.00000
## [4,] 0.920 5.70 9.557439 2.02183777 16.500000 10.46996
## [5,] 2547.000 4603.00 2.100000 1.80000000 3.900000 69.00000
## [6,] 10.550 179.50 9.100000 0.70000000 9.800000 27.00000
## [7,] 0.023 0.30 15.800000 3.90000000 19.700000 19.00000
## [8,] 160.000 169.00 5.200000 1.00000000 6.200000 30.40000
## [9,] 3.300 25.60 10.900000 3.60000000 14.500000 28.00000
## [10,] 52.160 440.00 8.300000 1.40000000 9.700000 50.00000
## [11,] 0.425 6.40 11.000000 1.50000000 12.500000 7.00000
## [12,] 465.000 423.00 3.200000 0.70000000 3.900000 30.00000
## [13,] 0.550 2.40 7.600000 2.70000000 10.300000 17.92025
## [14,] 187.100 419.00 3.165728 0.06875211 3.100000 40.00000
## [15,] 0.075 1.20 6.300000 2.10000000 8.400000 3.50000
## [16,] 3.000 25.00 8.600000 0.00000000 8.600000 50.00000
## [17,] 0.785 3.50 6.600000 4.10000000 10.700000 6.00000
## [18,] 0.200 5.00 9.500000 1.20000000 10.700000 10.40000
## [19,] 1.410 17.50 4.800000 1.30000000 6.100000 34.00000
## [20,] 60.000 81.00 12.000000 6.10000000 18.100000 7.00000
## [21,] 529.000 680.00 3.119388 0.30000000 3.512662 28.00000
## [22,] 27.660 115.00 3.300000 0.50000000 3.800000 20.00000
## [23,] 0.120 1.00 11.000000 3.40000000 14.400000 3.90000
## [24,] 207.000 406.00 8.107653 2.31219274 12.000000 39.30000
## [25,] 85.000 325.00 4.700000 1.50000000 6.200000 41.00000
## [26,] 36.330 119.50 11.039808 3.06631647 13.000000 16.20000
## [27,] 0.101 4.00 10.400000 3.40000000 13.800000 9.00000
## [28,] 1.040 5.50 7.400000 0.80000000 8.200000 7.60000
## [29,] 521.000 655.00 2.100000 0.80000000 2.900000 46.00000
## [30,] 100.000 157.00 10.369158 2.90300531 10.800000 22.40000
## [31,] 35.000 56.00 7.166314 1.27209863 8.332791 16.30000
## [32,] 0.005 0.14 7.700000 1.40000000 9.100000 2.60000
## [33,] 0.010 0.25 17.900000 2.00000000 19.900000 24.00000
## [34,] 62.000 1320.00 6.100000 1.90000000 8.000000 100.00000
## [35,] 0.122 3.00 8.200000 2.40000000 10.600000 16.70383
## [36,] 1.350 8.10 8.400000 2.80000000 11.200000 14.33016
## [37,] 0.023 0.40 11.900000 1.30000000 13.200000 3.20000
## [38,] 0.048 0.33 10.800000 2.00000000 12.800000 2.00000
## [39,] 1.700 6.30 13.800000 5.60000000 19.400000 5.00000
## [40,] 3.500 10.80 14.300000 3.10000000 17.400000 6.50000
## [41,] 250.000 490.00 3.589035 1.00000000 4.031109 23.60000
## [42,] 0.480 15.50 15.200000 1.80000000 17.000000 12.00000
## [43,] 10.000 115.00 10.000000 0.90000000 10.900000 20.20000
## [44,] 1.620 11.40 11.900000 1.80000000 13.700000 13.00000
## [45,] 192.000 180.00 6.500000 1.90000000 8.400000 27.00000
## [46,] 2.500 12.10 7.500000 0.90000000 8.400000 18.00000
## [47,] 4.288 39.20 9.994232 2.51298537 12.500000 13.70000
## [48,] 0.280 1.90 10.600000 2.60000000 13.200000 4.70000
## [49,] 4.235 50.40 7.400000 2.40000000 9.800000 9.80000
## [50,] 6.800 179.00 8.400000 1.20000000 9.600000 29.00000
## [51,] 0.750 12.30 5.700000 0.90000000 6.600000 7.00000
## [52,] 3.600 21.00 4.900000 0.50000000 5.400000 6.00000
## [53,] 14.830 98.20 4.811000 0.30600427 2.600000 17.00000
## [54,] 55.500 175.00 3.200000 0.60000000 3.800000 20.00000
## [55,] 1.400 12.50 9.694970 2.41374299 11.000000 12.70000
## [56,] 0.060 1.00 8.100000 2.20000000 10.300000 3.50000
## [57,] 0.900 2.60 11.000000 2.30000000 13.300000 4.50000
## [58,] 2.000 12.30 4.900000 0.50000000 5.400000 7.50000
## [59,] 0.104 2.50 13.200000 2.60000000 15.800000 2.30000
## [60,] 4.190 58.00 9.700000 0.60000000 10.300000 24.00000
## [61,] 3.500 3.90 12.800000 6.60000000 19.400000 3.00000
## [62,] 4.050 17.00 10.757891 2.76172212 13.389003 13.00000
## Gest Pred Exp Danger
## [1,] 645.000000 3 5 3
## [2,] 42.000000 3 1 3
## [3,] 60.000000 1 1 1
## [4,] 25.000000 5 2 3
## [5,] 624.000000 3 5 4
## [6,] 180.000000 4 4 4
## [7,] 35.000000 1 1 1
## [8,] 392.000000 4 5 4
## [9,] 63.000000 1 2 1
## [10,] 230.000000 1 1 1
## [11,] 112.000000 5 4 4
## [12,] 281.000000 5 5 5
## [13,] 105.130476 2 1 2
## [14,] 365.000000 5 5 5
## [15,] 42.000000 1 1 1
## [16,] 28.000000 2 2 2
## [17,] 42.000000 2 2 2
## [18,] 120.000000 2 2 2
## [19,] 184.764099 1 2 1
## [20,] 6.205938 1 1 1
## [21,] 400.000000 5 5 5
## [22,] 148.000000 5 5 5
## [23,] 16.000000 3 1 2
## [24,] 252.000000 1 4 1
## [25,] 310.000000 1 3 1
## [26,] 63.000000 1 1 1
## [27,] 28.000000 5 1 3
## [28,] 68.000000 5 3 4
## [29,] 336.000000 5 5 5
## [30,] 100.000000 1 1 1
## [31,] 33.000000 3 5 4
## [32,] 21.500000 5 2 4
## [33,] 50.000000 1 1 1
## [34,] 267.000000 1 1 1
## [35,] 30.000000 2 1 1
## [36,] 45.000000 3 1 3
## [37,] 19.000000 4 1 3
## [38,] 30.000000 4 1 3
## [39,] 12.000000 2 1 1
## [40,] 120.000000 2 1 1
## [41,] 440.000000 5 5 5
## [42,] 140.000000 2 2 2
## [43,] 170.000000 4 4 4
## [44,] 17.000000 2 1 2
## [45,] 115.000000 4 4 4
## [46,] 31.000000 5 5 5
## [47,] 63.000000 2 2 2
## [48,] 21.000000 3 1 3
## [49,] 52.000000 1 1 1
## [50,] 164.000000 2 3 2
## [51,] 225.000000 2 2 2
## [52,] 225.000000 3 2 3
## [53,] 150.000000 5 5 5
## [54,] 151.000000 5 5 5
## [55,] 90.000000 2 2 2
## [56,] 83.067653 3 1 2
## [57,] 60.000000 2 1 2
## [58,] 200.000000 3 1 3
## [59,] 46.000000 3 2 2
## [60,] 210.000000 4 3 4
## [61,] 14.000000 2 1 1
## [62,] 38.000000 3 1 1
##
## $completeObs
## BodyWgt BrainWgt NonD Dream Sleep Span Gest
## 1 6654.000 5712.00 -2.515032 0.23237398 3.300000 38.60000 645.000000
## 2 1.000 6.60 6.300000 2.00000000 8.300000 4.50000 42.000000
## 3 3.385 44.50 11.084549 3.05123163 12.500000 14.00000 60.000000
## 4 0.920 5.70 9.557439 2.02183777 16.500000 10.46996 25.000000
## 5 2547.000 4603.00 2.100000 1.80000000 3.900000 69.00000 624.000000
## 6 10.550 179.50 9.100000 0.70000000 9.800000 27.00000 180.000000
## 7 0.023 0.30 15.800000 3.90000000 19.700000 19.00000 35.000000
## 8 160.000 169.00 5.200000 1.00000000 6.200000 30.40000 392.000000
## 9 3.300 25.60 10.900000 3.60000000 14.500000 28.00000 63.000000
## 10 52.160 440.00 8.300000 1.40000000 9.700000 50.00000 230.000000
## 11 0.425 6.40 11.000000 1.50000000 12.500000 7.00000 112.000000
## 12 465.000 423.00 3.200000 0.70000000 3.900000 30.00000 281.000000
## 13 0.550 2.40 7.600000 2.70000000 10.300000 17.92025 105.130476
## 14 187.100 419.00 3.165728 0.06875211 3.100000 40.00000 365.000000
## 15 0.075 1.20 6.300000 2.10000000 8.400000 3.50000 42.000000
## 16 3.000 25.00 8.600000 0.00000000 8.600000 50.00000 28.000000
## 17 0.785 3.50 6.600000 4.10000000 10.700000 6.00000 42.000000
## 18 0.200 5.00 9.500000 1.20000000 10.700000 10.40000 120.000000
## 19 1.410 17.50 4.800000 1.30000000 6.100000 34.00000 184.764099
## 20 60.000 81.00 12.000000 6.10000000 18.100000 7.00000 6.205938
## 21 529.000 680.00 3.119388 0.30000000 3.512662 28.00000 400.000000
## 22 27.660 115.00 3.300000 0.50000000 3.800000 20.00000 148.000000
## 23 0.120 1.00 11.000000 3.40000000 14.400000 3.90000 16.000000
## 24 207.000 406.00 8.107653 2.31219274 12.000000 39.30000 252.000000
## 25 85.000 325.00 4.700000 1.50000000 6.200000 41.00000 310.000000
## 26 36.330 119.50 11.039808 3.06631647 13.000000 16.20000 63.000000
## 27 0.101 4.00 10.400000 3.40000000 13.800000 9.00000 28.000000
## 28 1.040 5.50 7.400000 0.80000000 8.200000 7.60000 68.000000
## 29 521.000 655.00 2.100000 0.80000000 2.900000 46.00000 336.000000
## 30 100.000 157.00 10.369158 2.90300531 10.800000 22.40000 100.000000
## 31 35.000 56.00 7.166314 1.27209863 8.332791 16.30000 33.000000
## 32 0.005 0.14 7.700000 1.40000000 9.100000 2.60000 21.500000
## 33 0.010 0.25 17.900000 2.00000000 19.900000 24.00000 50.000000
## 34 62.000 1320.00 6.100000 1.90000000 8.000000 100.00000 267.000000
## 35 0.122 3.00 8.200000 2.40000000 10.600000 16.70383 30.000000
## 36 1.350 8.10 8.400000 2.80000000 11.200000 14.33016 45.000000
## 37 0.023 0.40 11.900000 1.30000000 13.200000 3.20000 19.000000
## 38 0.048 0.33 10.800000 2.00000000 12.800000 2.00000 30.000000
## 39 1.700 6.30 13.800000 5.60000000 19.400000 5.00000 12.000000
## 40 3.500 10.80 14.300000 3.10000000 17.400000 6.50000 120.000000
## 41 250.000 490.00 3.589035 1.00000000 4.031109 23.60000 440.000000
## 42 0.480 15.50 15.200000 1.80000000 17.000000 12.00000 140.000000
## 43 10.000 115.00 10.000000 0.90000000 10.900000 20.20000 170.000000
## 44 1.620 11.40 11.900000 1.80000000 13.700000 13.00000 17.000000
## 45 192.000 180.00 6.500000 1.90000000 8.400000 27.00000 115.000000
## 46 2.500 12.10 7.500000 0.90000000 8.400000 18.00000 31.000000
## 47 4.288 39.20 9.994232 2.51298537 12.500000 13.70000 63.000000
## 48 0.280 1.90 10.600000 2.60000000 13.200000 4.70000 21.000000
## 49 4.235 50.40 7.400000 2.40000000 9.800000 9.80000 52.000000
## 50 6.800 179.00 8.400000 1.20000000 9.600000 29.00000 164.000000
## 51 0.750 12.30 5.700000 0.90000000 6.600000 7.00000 225.000000
## 52 3.600 21.00 4.900000 0.50000000 5.400000 6.00000 225.000000
## 53 14.830 98.20 4.811000 0.30600427 2.600000 17.00000 150.000000
## 54 55.500 175.00 3.200000 0.60000000 3.800000 20.00000 151.000000
## 55 1.400 12.50 9.694970 2.41374299 11.000000 12.70000 90.000000
## 56 0.060 1.00 8.100000 2.20000000 10.300000 3.50000 83.067653
## 57 0.900 2.60 11.000000 2.30000000 13.300000 4.50000 60.000000
## 58 2.000 12.30 4.900000 0.50000000 5.400000 7.50000 200.000000
## 59 0.104 2.50 13.200000 2.60000000 15.800000 2.30000 46.000000
## 60 4.190 58.00 9.700000 0.60000000 10.300000 24.00000 210.000000
## 61 3.500 3.90 12.800000 6.60000000 19.400000 3.00000 14.000000
## 62 4.050 17.00 10.757891 2.76172212 13.389003 13.00000 38.000000
## Pred Exp Danger
## 1 3 5 3
## 2 3 1 3
## 3 1 1 1
## 4 5 2 3
## 5 3 5 4
## 6 4 4 4
## 7 1 1 1
## 8 4 5 4
## 9 1 2 1
## 10 1 1 1
## 11 5 4 4
## 12 5 5 5
## 13 2 1 2
## 14 5 5 5
## 15 1 1 1
## 16 2 2 2
## 17 2 2 2
## 18 2 2 2
## 19 1 2 1
## 20 1 1 1
## 21 5 5 5
## 22 5 5 5
## 23 3 1 2
## 24 1 4 1
## 25 1 3 1
## 26 1 1 1
## 27 5 1 3
## 28 5 3 4
## 29 5 5 5
## 30 1 1 1
## 31 3 5 4
## 32 5 2 4
## 33 1 1 1
## 34 1 1 1
## 35 2 1 1
## 36 3 1 3
## 37 4 1 3
## 38 4 1 3
## 39 2 1 1
## 40 2 1 1
## 41 5 5 5
## 42 2 2 2
## 43 4 4 4
## 44 2 1 2
## 45 4 4 4
## 46 5 5 5
## 47 2 2 2
## 48 3 1 3
## 49 1 1 1
## 50 2 3 2
## 51 2 2 2
## 52 3 2 3
## 53 5 5 5
## 54 5 5 5
## 55 2 2 2
## 56 3 1 2
## 57 2 1 2
## 58 3 1 3
## 59 3 2 2
## 60 4 3 4
## 61 2 1 1
## 62 3 1 1
##
## $call
## $call$group.mod
## [1] 1 1 1 1 1 1 1 1 1 1
##
## $call$ind.var
## $call$ind.var[[1]]
## [1] 1
##
## $call$ind.var[[2]]
## [1] 2
##
## $call$ind.var[[3]]
## [1] 3
##
## $call$ind.var[[4]]
## [1] 4
##
## $call$ind.var[[5]]
## [1] 5
##
## $call$ind.var[[6]]
## [1] 6
##
## $call$ind.var[[7]]
## [1] 7
##
## $call$ind.var[[8]]
## [1] 8
##
## $call$ind.var[[9]]
## [1] 9
##
## $call$ind.var[[10]]
## [1] 10imputeMCA(sleep)## $tab.disj
## 0.005 0.01 0.023 0.048 0.06 0.075 0.101 0.104 0.12 0.122 0.2 0.28 0.425
## 1 0 0 0 0 0 0 0 0 0 0 0 0 0
## 2 0 0 0 0 0 0 0 0 0 0 0 0 0
## 3 0 0 0 0 0 0 0 0 0 0 0 0 0
## 4 0 0 0 0 0 0 0 0 0 0 0 0 0
## 5 0 0 0 0 0 0 0 0 0 0 0 0 0
## 6 0 0 0 0 0 0 0 0 0 0 0 0 0
## 7 0 0 1 0 0 0 0 0 0 0 0 0 0
## 8 0 0 0 0 0 0 0 0 0 0 0 0 0
## 9 0 0 0 0 0 0 0 0 0 0 0 0 0
## 10 0 0 0 0 0 0 0 0 0 0 0 0 0
## 11 0 0 0 0 0 0 0 0 0 0 0 0 1
## 12 0 0 0 0 0 0 0 0 0 0 0 0 0
## 13 0 0 0 0 0 0 0 0 0 0 0 0 0
## 14 0 0 0 0 0 0 0 0 0 0 0 0 0
## 15 0 0 0 0 0 1 0 0 0 0 0 0 0
## 16 0 0 0 0 0 0 0 0 0 0 0 0 0
## 17 0 0 0 0 0 0 0 0 0 0 0 0 0
## 18 0 0 0 0 0 0 0 0 0 0 1 0 0
## 19 0 0 0 0 0 0 0 0 0 0 0 0 0
## 20 0 0 0 0 0 0 0 0 0 0 0 0 0
## 21 0 0 0 0 0 0 0 0 0 0 0 0 0
## 22 0 0 0 0 0 0 0 0 0 0 0 0 0
## 23 0 0 0 0 0 0 0 0 1 0 0 0 0
## 24 0 0 0 0 0 0 0 0 0 0 0 0 0
## 25 0 0 0 0 0 0 0 0 0 0 0 0 0
## 26 0 0 0 0 0 0 0 0 0 0 0 0 0
## 27 0 0 0 0 0 0 1 0 0 0 0 0 0
## 28 0 0 0 0 0 0 0 0 0 0 0 0 0
## 29 0 0 0 0 0 0 0 0 0 0 0 0 0
## 30 0 0 0 0 0 0 0 0 0 0 0 0 0
## 31 0 0 0 0 0 0 0 0 0 0 0 0 0
## 32 1 0 0 0 0 0 0 0 0 0 0 0 0
## 33 0 1 0 0 0 0 0 0 0 0 0 0 0
## 34 0 0 0 0 0 0 0 0 0 0 0 0 0
## 35 0 0 0 0 0 0 0 0 0 1 0 0 0
## 36 0 0 0 0 0 0 0 0 0 0 0 0 0
## 37 0 0 1 0 0 0 0 0 0 0 0 0 0
## 38 0 0 0 1 0 0 0 0 0 0 0 0 0
## 39 0 0 0 0 0 0 0 0 0 0 0 0 0
## 40 0 0 0 0 0 0 0 0 0 0 0 0 0
## 41 0 0 0 0 0 0 0 0 0 0 0 0 0
## 42 0 0 0 0 0 0 0 0 0 0 0 0 0
## 43 0 0 0 0 0 0 0 0 0 0 0 0 0
## 44 0 0 0 0 0 0 0 0 0 0 0 0 0
## 45 0 0 0 0 0 0 0 0 0 0 0 0 0
## 46 0 0 0 0 0 0 0 0 0 0 0 0 0
## 47 0 0 0 0 0 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0 0 1 0
## 49 0 0 0 0 0 0 0 0 0 0 0 0 0
## 50 0 0 0 0 0 0 0 0 0 0 0 0 0
## 51 0 0 0 0 0 0 0 0 0 0 0 0 0
## 52 0 0 0 0 0 0 0 0 0 0 0 0 0
## 53 0 0 0 0 0 0 0 0 0 0 0 0 0
## 54 0 0 0 0 0 0 0 0 0 0 0 0 0
## 55 0 0 0 0 0 0 0 0 0 0 0 0 0
## 56 0 0 0 0 1 0 0 0 0 0 0 0 0
## 57 0 0 0 0 0 0 0 0 0 0 0 0 0
## 58 0 0 0 0 0 0 0 0 0 0 0 0 0
## 59 0 0 0 0 0 0 0 1 0 0 0 0 0
## 60 0 0 0 0 0 0 0 0 0 0 0 0 0
## 61 0 0 0 0 0 0 0 0 0 0 0 0 0
## 62 0 0 0 0 0 0 0 0 0 0 0 0 0
## 0.48 0.55 0.75 0.785 0.9 0.92 1 1.04 1.35 1.4 1.41 1.62 1.7 2 2.5 3 3.3
## 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0
## 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 4 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0
## 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
## 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 13 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0
## 17 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
## 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 19 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0
## 20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 21 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 22 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 23 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 24 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 25 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 26 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 27 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 28 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0
## 29 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 30 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 31 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 32 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 33 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 34 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 35 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 36 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0
## 37 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 38 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 39 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0
## 40 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 41 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 42 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 43 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 44 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0
## 45 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 46 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0
## 47 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 49 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 50 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 51 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 52 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 53 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 54 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 55 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0
## 56 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 57 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0
## 58 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0
## 59 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 60 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 61 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 62 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 3.385 3.5 3.6 4.05 4.19 4.235 4.288 6.8 10 10.55 14.83 27.66 35 36.33
## 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0
## 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 6 0 0 0 0 0 0 0 0 0 1 0 0 0 0
## 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 19 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 20 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 21 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 22 0 0 0 0 0 0 0 0 0 0 0 1 0 0
## 23 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 24 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 25 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 26 0 0 0 0 0 0 0 0 0 0 0 0 0 1
## 27 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 28 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 29 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 30 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 31 0 0 0 0 0 0 0 0 0 0 0 0 1 0
## 32 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 33 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 34 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 35 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 36 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 37 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 38 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 39 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 40 0 1 0 0 0 0 0 0 0 0 0 0 0 0
## 41 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 42 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 43 0 0 0 0 0 0 0 0 1 0 0 0 0 0
## 44 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 45 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 46 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 47 0 0 0 0 0 0 1 0 0 0 0 0 0 0
## 48 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 49 0 0 0 0 0 1 0 0 0 0 0 0 0 0
## 50 0 0 0 0 0 0 0 1 0 0 0 0 0 0
## 51 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 52 0 0 1 0 0 0 0 0 0 0 0 0 0 0
## 53 0 0 0 0 0 0 0 0 0 0 1 0 0 0
## 54 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 55 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 56 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 57 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 58 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 59 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 60 0 0 0 0 1 0 0 0 0 0 0 0 0 0
## 61 0 1 0 0 0 0 0 0 0 0 0 0 0 0
## 62 0 0 0 1 0 0 0 0 0 0 0 0 0 0
## 52.16 55.5 60 62 85 100 160 187.1 192 207 250 465 521 529 2547 6654
## 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
## 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0
## 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 8 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0
## 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 12 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0
## 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 14 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0
## 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 20 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
## 21 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0
## 22 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 23 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 24 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0
## 25 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0
## 26 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 27 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 28 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 29 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0
## 30 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0
## 31 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 32 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 33 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 34 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0
## 35 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 36 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 37 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 38 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 39 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 40 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## 41 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0
## 42 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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## 21 0.03052267 0.024401921 0.016927039 0.04640297 0.03864052 0.01722307
## 22 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000
## 23 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000
## 24 0.04642333 0.036875989 0.009311105 0.05753549 0.01649077 0.01756430
## 25 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000
## 26 0.04797014 0.025546104 0.017987668 0.04584348 0.01200799 0.02103358
## 27 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000
## 28 0.00000000 0.000000000 0.000000000 1.00000000 0.00000000 0.00000000
## 29 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000
## 30 0.04864719 0.027925020 0.016276093 0.04819939 0.01140780 0.02054193
## 31 0.03609197 0.023418987 0.018277783 0.04485132 0.02988909 0.01880871
## 32 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000
## 33 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000
## 34 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000
## 35 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000
## 36 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000
## 37 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000
## 38 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000
## 39 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000
## 40 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000
## 41 0.02858285 0.026976697 0.014780491 0.04921706 0.04210303 0.01605925
## 42 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000
## 43 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000
## 44 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000
## 45 0.00000000 1.000000000 0.000000000 0.00000000 0.00000000 0.00000000
## 46 0.00000000 0.000000000 0.000000000 0.00000000 1.00000000 0.00000000
## 47 0.04424641 0.011160243 0.028378735 0.03156009 0.01506734 0.02409424
## 48 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000
## 49 0.00000000 0.000000000 0.000000000 1.00000000 0.00000000 0.00000000
## 50 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000
## 51 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000
## 52 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000
## 53 0.02774668 0.024530746 0.016524889 0.04680860 0.04293560 0.01653164
## 54 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000
## 55 0.04354643 0.003383535 0.034140400 0.02370898 0.01470097 0.02605911
## 56 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000
## 57 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000
## 58 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000
## 59 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000
## 60 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000
## 61 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000 0.00000000
## 62 0.04484901 0.018132617 0.023210242 0.03860164 0.01543425 0.02232668
## 7.7 8.1 8.2 8.3 8.4 8.6
## 1 0.02402147 0.02145393 0.01627812 0.015254331 0.04617044 0.02394107
## 2 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 3 0.01723809 0.02092296 0.02547581 0.026300857 0.03941663 0.01942151
## 4 0.02283716 0.02173591 0.01764786 0.016791857 0.04633533 0.02414559
## 5 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 6 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 7 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 8 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 9 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 10 0.00000000 0.00000000 0.00000000 1.000000000 0.00000000 0.00000000
## 11 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 12 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 13 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 14 0.03054608 0.01737400 0.01032399 0.009421023 0.03619898 0.01611439
## 15 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 16 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 1.00000000
## 17 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 18 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 19 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 20 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 21 0.02863371 0.01790231 0.01248978 0.011827552 0.03672706 0.01663820
## 22 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 23 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 24 0.01821657 0.01742062 0.02640423 0.028443179 0.02755249 0.01058259
## 25 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 26 0.01669356 0.02070404 0.02632523 0.027371630 0.03824205 0.01859118
## 27 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 28 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 29 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 30 0.01632507 0.02019294 0.02712874 0.028475081 0.03614524 0.01706680
## 31 0.02476759 0.01915457 0.01675213 0.016500385 0.03845549 0.01818568
## 32 1.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 33 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 34 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 35 0.00000000 0.00000000 1.00000000 0.000000000 0.00000000 0.00000000
## 36 0.00000000 0.00000000 0.00000000 0.000000000 1.00000000 0.00000000
## 37 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 38 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 39 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 40 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 41 0.03007100 0.01687343 0.01126015 0.010678362 0.03406372 0.01456903
## 42 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 43 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 44 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 45 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 46 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 47 0.01866731 0.02386070 0.02175726 0.021023719 0.05097659 0.02786759
## 48 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 49 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 50 0.00000000 0.00000000 0.00000000 0.000000000 1.00000000 0.00000000
## 51 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 52 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 53 0.03054608 0.01737400 0.01032399 0.009421023 0.03619898 0.01611439
## 54 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 55 0.01883224 0.02580083 0.02031924 0.018743471 0.05805414 0.03308822
## 56 0.00000000 1.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 57 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 58 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 59 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 60 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 61 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000
## 62 0.01853661 0.02211678 0.02302692 0.023046219 0.04462738 0.02318300
## 9.1 9.5 9.7 10 10.4 10.6
## 1 0.01622532 0.024492499 0.01920196 0.019970894 0.02422648 0.02260540
## 2 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 3 0.02296096 0.019185169 0.02115644 0.019672231 0.01809016 0.02010823
## 4 0.01594589 0.024742431 0.01882404 0.018906512 0.02367011 0.02277498
## 5 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 6 1.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 7 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 8 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 9 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 10 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 11 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 12 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 13 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 14 0.02757877 0.015182016 0.02613336 0.032660424 0.02381905 0.01758782
## 15 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 16 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 17 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 18 0.00000000 1.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 19 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 20 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 21 0.02684404 0.015814792 0.02538302 0.030744521 0.02302098 0.01797961
## 22 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 23 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 24 0.03589152 0.008712354 0.02774394 0.029384268 0.01405623 0.01468411
## 25 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 26 0.02418649 0.018205517 0.02165173 0.020124557 0.01735526 0.01962283
## 27 0.00000000 0.000000000 0.00000000 0.000000000 1.00000000 0.00000000
## 28 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 29 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 30 0.02642566 0.016402871 0.02268354 0.021411199 0.01635909 0.01870776
## 31 0.02464308 0.017672507 0.02351250 0.026373575 0.02166077 0.01906940
## 32 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 33 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 34 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 35 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 36 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 37 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 38 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 39 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 40 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 41 0.02985050 0.013355219 0.02715967 0.033891399 0.02275239 0.01666400
## 42 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 43 0.00000000 0.000000000 0.00000000 1.000000000 0.00000000 0.00000000
## 44 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 45 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 46 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 47 0.01056487 0.029177042 0.01532066 0.012100707 0.02326708 0.02520158
## 48 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 1.00000000
## 49 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 50 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 51 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 52 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 53 0.02757877 0.015182016 0.02613336 0.032660424 0.02381905 0.01758782
## 54 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 55 0.00291492 0.035357850 0.01157402 0.006901323 0.02606515 0.02837711
## 56 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 57 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 58 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 59 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 60 0.00000000 0.000000000 1.00000000 0.000000000 0.00000000 0.00000000
## 61 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
## 62 0.01742905 0.023630754 0.01868596 0.016778725 0.02076597 0.02235146
## 10.8 10.9 11 11.9 12 12.8
## 1 0.01679014 0.01752623 0.06322142 0.03976697 0.01518745 0.015719355
## 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 3 0.02449981 0.02416022 0.06292469 0.04467861 0.02617258 0.026565136
## 4 0.01771330 0.01849380 0.06375856 0.04103789 0.01661496 0.017595368
## 5 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 6 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 7 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 8 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 9 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 10 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 11 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.000000000
## 12 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 13 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 14 0.01455572 0.01348141 0.05629099 0.02997769 0.01062972 0.005502455
## 15 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 16 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 17 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 18 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 19 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 20 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000 0.000000000
## 21 0.01596402 0.01500664 0.05727305 0.03211044 0.01283927 0.008528325
## 22 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 23 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.000000000
## 24 0.02742699 0.02502453 0.05734193 0.04002137 0.02927219 0.025168379
## 25 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 26 0.02531767 0.02478247 0.06262375 0.04487836 0.02728515 0.027444030
## 27 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 28 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 29 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 30 0.02628076 0.02538825 0.06184960 0.04461309 0.02851306 0.028055793
## 31 0.01860318 0.01799637 0.05954798 0.03662533 0.01706507 0.014636896
## 32 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 33 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 34 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 35 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 36 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 37 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.000000000
## 38 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 39 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 40 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 41 0.01561866 0.01418183 0.05554183 0.02981042 0.01200556 0.006283762
## 42 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 43 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 44 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.000000000
## 45 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 46 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 47 0.01968607 0.02132445 0.06742907 0.04676162 0.02015952 0.024147557
## 48 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 49 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 50 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 51 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 52 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 53 0.01455572 0.01348141 0.05629099 0.02997769 0.01062972 0.005502455
## 54 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 55 0.01732350 0.02018243 0.07046560 0.04876857 0.01737004 0.023793544
## 56 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 57 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.000000000
## 58 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 59 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 60 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 61 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 1.000000000
## 62 0.02179130 0.02233451 0.06469825 0.04494343 0.02264026 0.024437784
## 13.2 13.8 14.3 15.2 15.8 17.9
## 1 0.027363145 0.015303786 0.017408069 0.026557125 0.011068465 0.013094013
## 2 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 3 0.016424784 0.026913332 0.025146382 0.017181541 0.029980568 0.027934767
## 4 0.026856572 0.017255931 0.018972279 0.026250482 0.013484236 0.014913363
## 5 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 6 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 7 0.000000000 0.000000000 0.000000000 0.000000000 1.000000000 0.000000000
## 8 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 9 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 10 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 11 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 12 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 13 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 14 0.020692251 0.005053267 0.007353095 0.019276458 0.003734653 0.008274593
## 15 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 16 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 17 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 18 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 19 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 20 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 21 0.020147610 0.008190924 0.009920429 0.019040449 0.007462897 0.011062052
## 22 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 23 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 24 0.004599537 0.025952919 0.021993907 0.005827363 0.035716662 0.033165404
## 25 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 26 0.014886473 0.027880458 0.025667259 0.015802989 0.031915665 0.029489211
## 27 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 28 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 29 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 30 0.012486252 0.028607352 0.025813240 0.013581513 0.034083522 0.031288662
## 31 0.019736440 0.014497359 0.015215455 0.019217372 0.014564373 0.016317851
## 32 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 33 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 1.000000000
## 34 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 35 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 36 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 37 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 38 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 39 0.000000000 1.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 40 0.000000000 0.000000000 1.000000000 0.000000000 0.000000000 0.000000000
## 41 0.018190807 0.005958824 0.007631409 0.016974642 0.006155069 0.010268387
## 42 0.000000000 0.000000000 0.000000000 1.000000000 0.000000000 0.000000000
## 43 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 44 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 45 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 46 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 47 0.029312293 0.023903312 0.025123744 0.029189840 0.019312756 0.018987575
## 48 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 49 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 50 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 51 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 52 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 53 0.020692251 0.005053267 0.007353095 0.019276458 0.003734653 0.008274593
## 54 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 55 0.036795678 0.023236437 0.026032098 0.036260171 0.014295089 0.014657326
## 56 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 57 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 58 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 59 1.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 60 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 61 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 62 0.022608897 0.024472995 0.024286465 0.022853947 0.023777295 0.022844328
## 0 0.3 0.5 0.6 0.7 0.8
## 1 0.02315204 0.02498897 0.07623218 0.04621801 0.04249149 0.05015350
## 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 3 0.01901760 0.01330248 0.04360568 0.02921114 0.03152692 0.02449906
## 4 0.02342345 0.02300282 0.07230455 0.04259526 0.03909026 0.04523201
## 5 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 6 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000
## 7 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 8 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 9 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
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## 11 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 12 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000
## 13 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 14 0.01495922 0.03556550 0.08594399 0.07058312 0.07125596 0.08025051
## 15 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 16 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 17 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
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## 19 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
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## 21 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 22 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000
## 23 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 24 0.01012646 0.01447046 0.03141774 0.03790672 0.04731165 0.03242612
## 25 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 26 0.01821835 0.01233886 0.04015440 0.02815344 0.03134641 0.02264788
## 27 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 28 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000
## 29 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000
## 30 0.01671534 0.01163426 0.03610562 0.02807074 0.03266463 0.02182379
## 31 0.01735649 0.02593329 0.06869106 0.05220106 0.05305441 0.05575965
## 32 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 33 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 34 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 35 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 36 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 37 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 38 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 39 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 40 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 41 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 42 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 43 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 44 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 45 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 46 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 47 0.02737990 0.01617359 0.06381933 0.02786552 0.02262255 0.02656717
## 48 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 49 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 50 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 51 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 52 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000
## 53 0.01495922 0.03556550 0.08594399 0.07058312 0.07125596 0.08025051
## 54 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000
## 55 0.03258937 0.01673654 0.07370998 0.02491755 0.01524088 0.02491499
## 56 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 57 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 58 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000
## 59 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 60 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000
## 61 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 62 0.02270436 0.01569759 0.05500687 0.03056172 0.02929146 0.02812020
## 0.9 1 1.2 1.3 1.4 1.5
## 1 0.06675049 0.04489936 0.04666445 0.03262728 0.03722851 0.03182669
## 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 3 0.04908821 0.03004265 0.03764972 0.04850657 0.04249544 0.04603397
## 4 0.06319396 0.04136130 0.04711005 0.03490906 0.03775634 0.03276105
## 5 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 6 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 7 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 8 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 9 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 10 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000
## 11 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000
## 12 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 13 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 14 0.08953259 0.07075817 0.03059194 0.02336465 0.03696209 0.03710467
## 15 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 16 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 17 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 18 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000
## 19 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000
## 20 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 21 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 22 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 23 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 24 0.05615272 0.04120492 0.01965985 0.05090219 0.04547751 0.05875301
## 25 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000
## 26 0.04789289 0.02929434 0.03597582 0.05001210 0.04310257 0.04790195
## 27 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 28 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 29 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 30 0.04754206 0.02970262 0.03288681 0.05150614 0.04389287 0.05066371
## 31 0.07166881 0.05247527 0.03494776 0.03396789 0.03911427 0.03999331
## 32 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000
## 33 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 34 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 35 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 36 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 37 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000
## 38 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 39 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 40 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 41 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 42 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 43 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 44 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 45 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 46 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 47 0.04924319 0.02605145 0.05478032 0.04146076 0.03843126 0.03137967
## 48 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 49 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 50 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000
## 51 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 52 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 53 0.08953259 0.07075817 0.03059194 0.02336465 0.03696209 0.03710467
## 54 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 55 0.04724038 0.02155589 0.06538711 0.03855122 0.03628827 0.02308159
## 56 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 57 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 58 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 59 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 60 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 61 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 62 0.05109085 0.03013422 0.04526218 0.04403677 0.04034533 0.03880744
## 1.8 1.9 2 2.1 2.2 2.3
## 1 0.07294980 0.02316806 0.04767868 0.01606101 0.02057559 0.01996157
## 2 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000
## 3 0.04967760 0.05401502 0.07372074 0.02435889 0.02047423 0.02166493
## 4 0.07111139 0.02583844 0.05125971 0.01719288 0.02093224 0.02073482
## 5 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 6 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 7 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 8 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 9 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 10 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 11 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 12 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 13 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 14 0.06807651 0.02676539 0.03446181 0.01196201 0.01608646 0.01249277
## 15 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000
## 16 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 17 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 18 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 19 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 20 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 21 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 22 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 23 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 24 0.03178413 0.07550121 0.07918839 0.02618865 0.01691306 0.01687377
## 25 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 26 0.04676264 0.05776884 0.07626562 0.02517410 0.02028994 0.02157776
## 27 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 28 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 29 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 30 0.04263501 0.06293928 0.07892320 0.02603269 0.01980261 0.02105780
## 31 0.06150995 0.03686142 0.05089106 0.01714228 0.01823104 0.01677969
## 32 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 33 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000
## 34 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 35 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 36 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 37 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 38 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000
## 39 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 40 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 41 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 42 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 43 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 44 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 45 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 46 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 47 0.07135993 0.02703725 0.06095057 0.02022073 0.02331897 0.02489507
## 48 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 49 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 50 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 51 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 52 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 53 0.06807651 0.02676539 0.03446181 0.01196201 0.01608646 0.01249277
## 54 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 55 0.08336892 0.01232107 0.05535028 0.01838913 0.02524697 0.02730134
## 56 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000
## 57 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000
## 58 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 59 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 60 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 61 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 62 0.06061752 0.04019526 0.06592066 0.02184680 0.02158486 0.02272600
## 2.4 2.6 2.7 2.8 3.1 3.4
## 1 0.02845577 0.04812787 0.02037021 0.02147383 0.016959309 0.04490255
## 2 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 3 0.05202759 0.03559250 0.02078250 0.01966101 0.024914998 0.03706540
## 4 0.03142185 0.04794730 0.02082386 0.02165738 0.018561214 0.04466393
## 5 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 6 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 7 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 8 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 9 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 10 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 11 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 12 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 13 0.00000000 0.00000000 1.00000000 0.00000000 0.000000000 0.00000000
## 14 0.01986526 0.03558259 0.01529726 0.01709066 0.006698405 0.03859969
## 15 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 16 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 17 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 18 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 19 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 20 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 21 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 22 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 23 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 1.00000000
## 24 0.05960598 0.01822032 0.01707725 0.01514596 0.021733625 0.02740525
## 25 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 26 0.05446060 0.03364140 0.02063600 0.01928020 0.025453445 0.03590473
## 27 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 1.00000000
## 28 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 29 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 30 0.05722040 0.03037595 0.02016714 0.01853809 0.025611566 0.03402499
## 31 0.03309564 0.03687079 0.01792305 0.01852647 0.014744405 0.03865579
## 32 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 33 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 34 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 35 1.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 36 0.00000000 0.00000000 0.00000000 1.00000000 0.000000000 0.00000000
## 37 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 38 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 39 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 40 0.00000000 0.00000000 0.00000000 0.00000000 1.000000000 0.00000000
## 41 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 42 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 43 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 44 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 45 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 46 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 47 0.03839263 0.05337815 0.02357427 0.02381445 0.024844618 0.04723676
## 48 0.00000000 1.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 49 1.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 50 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 51 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 52 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 53 0.01986526 0.03558259 0.01529726 0.01709066 0.006698405 0.03859969
## 54 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 55 0.03190767 0.06401139 0.02552746 0.02643065 0.025746364 0.05323797
## 56 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 57 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 58 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 59 0.00000000 1.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 60 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 61 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.00000000
## 62 0.04416499 0.04384538 0.02181615 0.02146569 0.024012719 0.04185862
## 3.6 3.9 4.1 5.6 6.1 6.6
## 1 0.01678809 0.010717783 0.023743469 0.014939758 0.014554859 0.015338822
## 2 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 3 0.02378289 0.029799481 0.018541028 0.026724977 0.025848375 0.026368396
## 4 0.01781838 0.013162981 0.023928516 0.016922344 0.016035968 0.017246689
## 5 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 6 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 7 0.00000000 1.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 8 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 9 1.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 10 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 11 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 12 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 13 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 14 0.01239960 0.003223081 0.015351450 0.004523076 0.009703561 0.004948018
## 15 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 16 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 17 0.00000000 0.000000000 1.000000000 0.000000000 0.000000000 0.000000000
## 18 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 19 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 20 0.00000000 0.000000000 0.000000000 0.000000000 1.000000000 0.000000000
## 21 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 22 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 23 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 24 0.02459778 0.035512853 0.008847783 0.025741413 0.028905868 0.024947370
## 25 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 26 0.02443423 0.031748277 0.017608944 0.027706313 0.026985813 0.027262154
## 27 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 28 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 29 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 30 0.02505996 0.033925582 0.015919079 0.028443044 0.028230798 0.027884203
## 31 0.01722027 0.014196184 0.017435482 0.014115451 0.016400124 0.014237625
## 32 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 33 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 34 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 35 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 36 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 37 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 38 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 39 0.00000000 0.000000000 0.000000000 1.000000000 0.000000000 0.000000000
## 40 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 41 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 42 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 43 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 44 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 45 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 46 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 47 0.02086902 0.019094560 0.027883320 0.023676214 0.019768462 0.023910322
## 48 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 49 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 50 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 51 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 52 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 53 0.01239960 0.003223081 0.015351450 0.004523076 0.009703561 0.004948018
## 54 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 55 0.01971681 0.014071832 0.033633639 0.023003889 0.016970213 0.023550633
## 56 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 57 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 58 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 59 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 60 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 61 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 1.000000000
## 62 0.02188731 0.023563210 0.022724016 0.024250343 0.022256301 0.024205176
## 2.6 2.9 3.1 3.3 3.8 3.9
## 1 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000
## 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
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## 5 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000
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## 5.4 6.1 6.2 6.6 8 8.2
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## 8.3 8.4 8.6 9.1 9.6 9.7
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## 61 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 62 0.01899182 0.04532035 0.01960518 0.01502973 0.01903737 0.019464160
## 9.8 10.3 10.6 10.7 10.8 10.9
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## 48 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
## 49 1.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
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## 51 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
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## 53 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
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## 55 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
## 56 0.00000000 1.00000000 0.000000000 0.00000000 0.000000000 0.00000000
## 57 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
## 58 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
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## 60 0.00000000 1.00000000 0.000000000 0.00000000 0.000000000 0.00000000
## 61 0.00000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
## 62 0.03228966 0.05248617 0.019444999 0.03967890 0.019140344 0.01329607
## 11 11.2 12 12.5 12.8 13
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## 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
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## 22 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
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## 30 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 31 0.01524628 0.01585885 0.01528635 0.04864498 0.01516586 0.013856683
## 32 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
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## 53 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
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## 55 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 56 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
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## 60 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 61 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 62 0.01910725 0.01845993 0.01778420 0.05339158 0.01822992 0.019075898
## 13.2 13.3 13.7 13.8 14.4 14.5
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## 2 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000 0.00000000
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## Span.100 Gest.12 Gest.14 Gest.16 Gest.17 Gest.19
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## Gest.21 Gest.21.5 Gest.25 Gest.28 Gest.30 Gest.31
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## 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 4 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.000000000
## 5 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 6 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 7 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 8 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 9 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 10 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 11 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 12 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 13 0.02157305 0.01497853 0.01810956 0.04338011 0.03637651 0.010920433
## 14 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 15 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 16 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.000000000
## 17 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 18 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 19 0.01784267 0.01340753 0.01467701 0.03271160 0.04530105 0.008026945
## 20 0.01615602 0.01340792 0.01366720 0.02849487 0.04720482 0.008402081
## 21 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 22 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 23 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 24 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 25 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 26 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 27 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.000000000
## 28 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 29 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 30 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 31 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 32 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 33 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 34 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 35 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000 0.000000000
## 36 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 37 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 38 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000 0.000000000
## 39 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 40 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 41 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 42 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 43 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 44 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 45 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 46 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 1.000000000
## 47 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 48 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 49 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 50 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 51 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 52 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 53 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 54 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 55 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 56 0.02131303 0.01528348 0.01818649 0.04299043 0.03575563 0.011700455
## 57 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 58 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 59 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 60 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 61 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 62 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## Gest.33 Gest.35 Gest.38 Gest.42 Gest.45 Gest.46
## 1 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 2 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000
## 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 5 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 6 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 7 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 8 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 9 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 10 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 11 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 12 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 13 0.01517304 0.01769736 0.01931734 0.06287741 0.02080698 0.02480856
## 14 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 15 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000
## 16 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 17 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000
## 18 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 19 0.01390568 0.02812668 0.02003105 0.05956194 0.01772249 0.01433912
## 20 0.01394835 0.03065697 0.01984862 0.05679282 0.01633066 0.01040354
## 21 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 22 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 23 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 24 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 25 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 26 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 27 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 28 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 29 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 30 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 31 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 32 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 33 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 34 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 35 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 36 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000
## 37 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 38 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 39 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 40 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 41 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 42 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 43 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 44 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 45 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 46 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 47 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 48 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 49 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 50 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 51 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 52 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 53 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 54 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 55 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 56 0.01544376 0.01714995 0.01907251 0.06190565 0.02059361 0.02454422
## 57 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 58 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 59 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000
## 60 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 61 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 62 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000
## Gest.50 Gest.52 Gest.60 Gest.63 Gest.68 Gest.90
## 1 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 3 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000
## 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 5 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 6 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 7 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 8 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 9 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000
## 10 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 11 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 12 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 13 0.01705473 0.01548040 0.04039263 0.05790962 0.01073534 0.02292017
## 14 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 15 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 16 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 17 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 18 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 19 0.02572566 0.02462661 0.04259577 0.06388067 0.01265977 0.01715123
## 20 0.02792778 0.02722144 0.04211932 0.06429910 0.01427266 0.01472019
## 21 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 22 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 23 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 24 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 25 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 26 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000
## 27 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 28 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000
## 29 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 30 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 31 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 32 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 33 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 34 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 35 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 36 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 37 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 38 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 39 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 40 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 41 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 42 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 43 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 44 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 45 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 46 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 47 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000
## 48 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 49 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 50 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 51 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 52 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 53 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 54 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 55 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000
## 56 0.01665702 0.01521953 0.03968744 0.05699542 0.01130264 0.02262147
## 57 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000
## 58 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 59 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 60 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 61 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## 62 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
## Gest.100 Gest.112 Gest.115 Gest.120 Gest.140 Gest.148
## 1 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 2 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 3 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 4 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 5 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 6 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 7 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 8 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 9 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 10 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 11 0.00000000 1.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 12 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 13 0.01783262 0.01390843 0.009097781 0.04747469 0.02481880 0.011146199
## 14 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 15 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 16 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 17 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 18 0.00000000 0.00000000 0.000000000 1.00000000 0.00000000 0.000000000
## 19 0.02421930 0.01727665 0.019999223 0.04108209 0.01518453 0.005506798
## 20 0.02571454 0.01869904 0.024143193 0.03722317 0.01145609 0.005155538
## 21 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 22 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 1.000000000
## 23 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 24 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 25 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 26 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 27 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 28 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 29 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 30 1.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 31 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 32 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 33 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 34 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 35 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 36 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 37 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 38 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 39 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 40 0.00000000 0.00000000 0.000000000 1.00000000 0.00000000 0.000000000
## 41 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 42 0.00000000 0.00000000 0.000000000 0.00000000 1.00000000 0.000000000
## 43 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 44 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 45 0.00000000 0.00000000 1.000000000 0.00000000 0.00000000 0.000000000
## 46 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 47 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 48 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 49 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 50 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 51 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 52 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 53 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 54 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 55 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 56 0.01746576 0.01408459 0.009399848 0.04646428 0.02451327 0.012035237
## 57 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 58 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 59 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 60 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 61 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## 62 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.000000000
## Gest.150 Gest.151 Gest.164 Gest.170 Gest.180 Gest.200
## 1 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 2 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 3 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 4 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 5 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 6 0.000000000 0.000000000 0.00000000 0.000000000 1.000000000 0.00000000
## 7 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 8 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 9 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 10 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 11 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 12 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 13 0.012289203 0.010115938 0.02274193 0.009236634 0.008345903 0.02092658
## 14 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 15 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 16 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 17 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 18 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 19 0.007569848 0.004315822 0.01714498 0.015048522 0.018550282 0.01534508
## 20 0.007250256 0.004103476 0.01478797 0.017894790 0.022650579 0.01330763
## 21 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 22 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 23 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 24 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 25 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 26 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 27 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 28 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 29 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 30 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 31 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 32 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 33 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 34 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 35 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 36 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 37 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 38 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 39 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 40 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 41 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 42 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 43 0.000000000 0.000000000 0.00000000 1.000000000 0.000000000 0.00000000
## 44 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 45 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 46 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 47 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 48 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 49 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 50 0.000000000 0.000000000 1.00000000 0.000000000 0.000000000 0.00000000
## 51 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 52 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 53 1.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 54 0.000000000 1.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 55 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 56 0.013018247 0.011117161 0.02245305 0.009769151 0.008757712 0.02082106
## 57 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 58 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 1.00000000
## 59 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 60 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 61 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## 62 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000
## Gest.210 Gest.225 Gest.230 Gest.252 Gest.267 Gest.281
## 1 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 2 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 3 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 4 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 5 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 6 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 7 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 8 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 9 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 10 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000 0.000000000
## 11 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 12 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 1.000000000
## 13 0.01249735 0.04279864 0.01868914 0.01471363 0.01559127 0.009796236
## 14 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 15 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 16 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 17 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 18 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 19 0.01731386 0.03062770 0.02420899 0.02362782 0.02859105 0.004870467
## 20 0.01934404 0.02613615 0.02533840 0.02629790 0.03213081 0.004932505
## 21 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 22 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 23 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 24 0.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.000000000
## 25 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 26 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 27 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 28 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 29 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 30 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 31 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 32 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 33 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 34 0.00000000 0.00000000 0.00000000 0.00000000 1.00000000 0.000000000
## 35 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 36 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 37 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 38 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 39 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 40 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 41 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 42 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 43 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 44 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 45 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 46 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 47 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 48 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 49 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 50 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 51 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 52 0.00000000 1.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 53 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 54 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 55 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 56 0.01274702 0.04254012 0.01827708 0.01454164 0.01513397 0.010787874
## 57 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 58 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 59 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 60 1.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 61 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## 62 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000
## Gest.310 Gest.336 Gest.365 Gest.392 Gest.400 Gest.440
## 1 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 2 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 3 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 4 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 5 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 6 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 7 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 8 0.00000000 0.000000000 0.000000000 1.000000000 0.000000000 0.000000000
## 9 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 10 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 11 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 12 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 13 0.01379420 0.010168642 0.012289203 0.009188078 0.013183093 0.011883861
## 14 0.00000000 0.000000000 1.000000000 0.000000000 0.000000000 0.000000000
## 15 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 16 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 17 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 18 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 19 0.02321158 0.003643560 0.007569848 0.013754298 0.009707981 0.008529088
## 20 0.02616751 0.003240643 0.007250256 0.016297388 0.009544288 0.008621478
## 21 0.00000000 0.000000000 0.000000000 0.000000000 1.000000000 0.000000000
## 22 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 23 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 24 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 25 1.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 26 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 27 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 28 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 29 0.00000000 1.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 30 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 31 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 32 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 33 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 34 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 35 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 36 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 37 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 38 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 39 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 40 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 41 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 1.000000000
## 42 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 43 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 44 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 45 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 46 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 47 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 48 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 49 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 50 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 51 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 52 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 53 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 54 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 55 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 56 0.01369131 0.011199353 0.013018247 0.009785414 0.013761705 0.012588470
## 57 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 58 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 59 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 60 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 61 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## 62 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
## Gest.624 Gest.645 Pred.1 Pred.2 Pred.3 Pred.4 Pred.5 Exp.1 Exp.2
## 1 0.000000000 1.00000000 0 0 1 0 0 0 0
## 2 0.000000000 0.00000000 0 0 1 0 0 1 0
## 3 0.000000000 0.00000000 1 0 0 0 0 1 0
## 4 0.000000000 0.00000000 0 0 0 0 1 0 1
## 5 1.000000000 0.00000000 0 0 1 0 0 0 0
## 6 0.000000000 0.00000000 0 0 0 1 0 0 0
## 7 0.000000000 0.00000000 1 0 0 0 0 1 0
## 8 0.000000000 0.00000000 0 0 0 1 0 0 0
## 9 0.000000000 0.00000000 1 0 0 0 0 0 1
## 10 0.000000000 0.00000000 1 0 0 0 0 1 0
## 11 0.000000000 0.00000000 0 0 0 0 1 0 0
## 12 0.000000000 0.00000000 0 0 0 0 1 0 0
## 13 0.014165208 0.01760109 0 1 0 0 0 1 0
## 14 0.000000000 0.00000000 0 0 0 0 1 0 0
## 15 0.000000000 0.00000000 1 0 0 0 0 1 0
## 16 0.000000000 0.00000000 0 1 0 0 0 0 1
## 17 0.000000000 0.00000000 0 1 0 0 0 0 1
## 18 0.000000000 0.00000000 0 1 0 0 0 0 1
## 19 0.009115095 0.01332250 1 0 0 0 0 0 1
## 20 0.008386303 0.01218944 1 0 0 0 0 1 0
## 21 0.000000000 0.00000000 0 0 0 0 1 0 0
## 22 0.000000000 0.00000000 0 0 0 0 1 0 0
## 23 0.000000000 0.00000000 0 0 1 0 0 1 0
## 24 0.000000000 0.00000000 1 0 0 0 0 0 0
## 25 0.000000000 0.00000000 1 0 0 0 0 0 0
## 26 0.000000000 0.00000000 1 0 0 0 0 1 0
## 27 0.000000000 0.00000000 0 0 0 0 1 1 0
## 28 0.000000000 0.00000000 0 0 0 0 1 0 0
## 29 0.000000000 0.00000000 0 0 0 0 1 0 0
## 30 0.000000000 0.00000000 1 0 0 0 0 1 0
## 31 0.000000000 0.00000000 0 0 1 0 0 0 0
## 32 0.000000000 0.00000000 0 0 0 0 1 0 1
## 33 0.000000000 0.00000000 1 0 0 0 0 1 0
## 34 0.000000000 0.00000000 1 0 0 0 0 1 0
## 35 0.000000000 0.00000000 0 1 0 0 0 1 0
## 36 0.000000000 0.00000000 0 0 1 0 0 1 0
## 37 0.000000000 0.00000000 0 0 0 1 0 1 0
## 38 0.000000000 0.00000000 0 0 0 1 0 1 0
## 39 0.000000000 0.00000000 0 1 0 0 0 1 0
## 40 0.000000000 0.00000000 0 1 0 0 0 1 0
## 41 0.000000000 0.00000000 0 0 0 0 1 0 0
## 42 0.000000000 0.00000000 0 1 0 0 0 0 1
## 43 0.000000000 0.00000000 0 0 0 1 0 0 0
## 44 0.000000000 0.00000000 0 1 0 0 0 1 0
## 45 0.000000000 0.00000000 0 0 0 1 0 0 0
## 46 0.000000000 0.00000000 0 0 0 0 1 0 0
## 47 0.000000000 0.00000000 0 1 0 0 0 0 1
## 48 0.000000000 0.00000000 0 0 1 0 0 1 0
## 49 0.000000000 0.00000000 1 0 0 0 0 1 0
## 50 0.000000000 0.00000000 0 1 0 0 0 0 0
## 51 0.000000000 0.00000000 0 1 0 0 0 0 1
## 52 0.000000000 0.00000000 0 0 1 0 0 0 1
## 53 0.000000000 0.00000000 0 0 0 0 1 0 0
## 54 0.000000000 0.00000000 0 0 0 0 1 0 0
## 55 0.000000000 0.00000000 0 1 0 0 0 0 1
## 56 0.014719777 0.01777025 0 0 1 0 0 1 0
## 57 0.000000000 0.00000000 0 1 0 0 0 1 0
## 58 0.000000000 0.00000000 0 0 1 0 0 1 0
## 59 0.000000000 0.00000000 0 0 1 0 0 0 1
## 60 0.000000000 0.00000000 0 0 0 1 0 0 0
## 61 0.000000000 0.00000000 0 1 0 0 0 1 0
## 62 0.000000000 0.00000000 0 0 1 0 0 1 0
## Exp.3 Exp.4 Exp.5 Danger.1 Danger.2 Danger.3 Danger.4 Danger.5
## 1 0 0 1 0 0 1 0 0
## 2 0 0 0 0 0 1 0 0
## 3 0 0 0 1 0 0 0 0
## 4 0 0 0 0 0 1 0 0
## 5 0 0 1 0 0 0 1 0
## 6 0 1 0 0 0 0 1 0
## 7 0 0 0 1 0 0 0 0
## 8 0 0 1 0 0 0 1 0
## 9 0 0 0 1 0 0 0 0
## 10 0 0 0 1 0 0 0 0
## 11 0 1 0 0 0 0 1 0
## 12 0 0 1 0 0 0 0 1
## 13 0 0 0 0 1 0 0 0
## 14 0 0 1 0 0 0 0 1
## 15 0 0 0 1 0 0 0 0
## 16 0 0 0 0 1 0 0 0
## 17 0 0 0 0 1 0 0 0
## 18 0 0 0 0 1 0 0 0
## 19 0 0 0 1 0 0 0 0
## 20 0 0 0 1 0 0 0 0
## 21 0 0 1 0 0 0 0 1
## 22 0 0 1 0 0 0 0 1
## 23 0 0 0 0 1 0 0 0
## 24 0 1 0 1 0 0 0 0
## 25 1 0 0 1 0 0 0 0
## 26 0 0 0 1 0 0 0 0
## 27 0 0 0 0 0 1 0 0
## 28 1 0 0 0 0 0 1 0
## 29 0 0 1 0 0 0 0 1
## 30 0 0 0 1 0 0 0 0
## 31 0 0 1 0 0 0 1 0
## 32 0 0 0 0 0 0 1 0
## 33 0 0 0 1 0 0 0 0
## 34 0 0 0 1 0 0 0 0
## 35 0 0 0 1 0 0 0 0
## 36 0 0 0 0 0 1 0 0
## 37 0 0 0 0 0 1 0 0
## 38 0 0 0 0 0 1 0 0
## 39 0 0 0 1 0 0 0 0
## 40 0 0 0 1 0 0 0 0
## 41 0 0 1 0 0 0 0 1
## 42 0 0 0 0 1 0 0 0
## 43 0 1 0 0 0 0 1 0
## 44 0 0 0 0 1 0 0 0
## 45 0 1 0 0 0 0 1 0
## 46 0 0 1 0 0 0 0 1
## 47 0 0 0 0 1 0 0 0
## 48 0 0 0 0 0 1 0 0
## 49 0 0 0 1 0 0 0 0
## 50 1 0 0 0 1 0 0 0
## 51 0 0 0 0 1 0 0 0
## 52 0 0 0 0 0 1 0 0
## 53 0 0 1 0 0 0 0 1
## 54 0 0 1 0 0 0 0 1
## 55 0 0 0 0 1 0 0 0
## 56 0 0 0 0 1 0 0 0
## 57 0 0 0 0 1 0 0 0
## 58 0 0 0 0 0 1 0 0
## 59 0 0 0 0 1 0 0 0
## 60 1 0 0 0 0 0 1 0
## 61 0 0 0 1 0 0 0 0
## 62 0 0 0 1 0 0 0 0
##
## $completeObs
## BodyWgt BrainWgt NonD Dream Sleep Span Gest Pred Exp Danger
## 1 6654.000 5712.00 NA NA 3.3 38.6 645.0 3 5 3
## 2 1.000 6.60 6.3 2.0 8.3 4.5 42.0 3 1 3
## 3 3.385 44.50 NA NA 12.5 14.0 60.0 1 1 1
## 4 0.920 5.70 NA NA 16.5 NA 25.0 5 2 3
## 5 2547.000 4603.00 2.1 1.8 3.9 69.0 624.0 3 5 4
## 6 10.550 179.50 9.1 0.7 9.8 27.0 180.0 4 4 4
## 7 0.023 0.30 15.8 3.9 19.7 19.0 35.0 1 1 1
## 8 160.000 169.00 5.2 1.0 6.2 30.4 392.0 4 5 4
## 9 3.300 25.60 10.9 3.6 14.5 28.0 63.0 1 2 1
## 10 52.160 440.00 8.3 1.4 9.7 50.0 230.0 1 1 1
## 11 0.425 6.40 11.0 1.5 12.5 7.0 112.0 5 4 4
## 12 465.000 423.00 3.2 0.7 3.9 30.0 281.0 5 5 5
## 13 0.550 2.40 7.6 2.7 10.3 NA NA 2 1 2
## 14 187.100 419.00 NA NA 3.1 40.0 365.0 5 5 5
## 15 0.075 1.20 6.3 2.1 8.4 3.5 42.0 1 1 1
## 16 3.000 25.00 8.6 0.0 8.6 50.0 28.0 2 2 2
## 17 0.785 3.50 6.6 4.1 10.7 6.0 42.0 2 2 2
## 18 0.200 5.00 9.5 1.2 10.7 10.4 120.0 2 2 2
## 19 1.410 17.50 4.8 1.3 6.1 34.0 NA 1 2 1
## 20 60.000 81.00 12.0 6.1 18.1 7.0 NA 1 1 1
## 21 529.000 680.00 NA 0.3 NA 28.0 400.0 5 5 5
## 22 27.660 115.00 3.3 0.5 3.8 20.0 148.0 5 5 5
## 23 0.120 1.00 11.0 3.4 14.4 3.9 16.0 3 1 2
## 24 207.000 406.00 NA NA 12.0 39.3 252.0 1 4 1
## 25 85.000 325.00 4.7 1.5 6.2 41.0 310.0 1 3 1
## 26 36.330 119.50 NA NA 13.0 16.2 63.0 1 1 1
## 27 0.101 4.00 10.4 3.4 13.8 9.0 28.0 5 1 3
## 28 1.040 5.50 7.4 0.8 8.2 7.6 68.0 5 3 4
## 29 521.000 655.00 2.1 0.8 2.9 46.0 336.0 5 5 5
## 30 100.000 157.00 NA NA 10.8 22.4 100.0 1 1 1
## 31 35.000 56.00 NA NA NA 16.3 33.0 3 5 4
## 32 0.005 0.14 7.7 1.4 9.1 2.6 21.5 5 2 4
## 33 0.010 0.25 17.9 2.0 19.9 24.0 50.0 1 1 1
## 34 62.000 1320.00 6.1 1.9 8.0 100.0 267.0 1 1 1
## 35 0.122 3.00 8.2 2.4 10.6 NA 30.0 2 1 1
## 36 1.350 8.10 8.4 2.8 11.2 NA 45.0 3 1 3
## 37 0.023 0.40 11.9 1.3 13.2 3.2 19.0 4 1 3
## 38 0.048 0.33 10.8 2.0 12.8 2.0 30.0 4 1 3
## 39 1.700 6.30 13.8 5.6 19.4 5.0 12.0 2 1 1
## 40 3.500 10.80 14.3 3.1 17.4 6.5 120.0 2 1 1
## 41 250.000 490.00 NA 1.0 NA 23.6 440.0 5 5 5
## 42 0.480 15.50 15.2 1.8 17.0 12.0 140.0 2 2 2
## 43 10.000 115.00 10.0 0.9 10.9 20.2 170.0 4 4 4
## 44 1.620 11.40 11.9 1.8 13.7 13.0 17.0 2 1 2
## 45 192.000 180.00 6.5 1.9 8.4 27.0 115.0 4 4 4
## 46 2.500 12.10 7.5 0.9 8.4 18.0 31.0 5 5 5
## 47 4.288 39.20 NA NA 12.5 13.7 63.0 2 2 2
## 48 0.280 1.90 10.6 2.6 13.2 4.7 21.0 3 1 3
## 49 4.235 50.40 7.4 2.4 9.8 9.8 52.0 1 1 1
## 50 6.800 179.00 8.4 1.2 9.6 29.0 164.0 2 3 2
## 51 0.750 12.30 5.7 0.9 6.6 7.0 225.0 2 2 2
## 52 3.600 21.00 4.9 0.5 5.4 6.0 225.0 3 2 3
## 53 14.830 98.20 NA NA 2.6 17.0 150.0 5 5 5
## 54 55.500 175.00 3.2 0.6 3.8 20.0 151.0 5 5 5
## 55 1.400 12.50 NA NA 11.0 12.7 90.0 2 2 2
## 56 0.060 1.00 8.1 2.2 10.3 3.5 NA 3 1 2
## 57 0.900 2.60 11.0 2.3 13.3 4.5 60.0 2 1 2
## 58 2.000 12.30 4.9 0.5 5.4 7.5 200.0 3 1 3
## 59 0.104 2.50 13.2 2.6 15.8 2.3 46.0 3 2 2
## 60 4.190 58.00 9.7 0.6 10.3 24.0 210.0 4 3 4
## 61 3.500 3.90 12.8 6.6 19.4 3.0 14.0 2 1 1
## 62 4.050 17.00 NA NA NA 13.0 38.0 3 1 1Amelia
amelia
不太懂这个算法
library(Amelia)## Loading required package: Rcpp## ##
## ## Amelia II: Multiple Imputation
## ## (Version 1.7.5, built: 2018-05-07)
## ## Copyright (C) 2005-2019 James Honaker, Gary King and Matthew Blackwell
## ## Refer to http://gking.harvard.edu/amelia/ for more information
## ##data(africa)
a.out <- amelia(x = africa, cs = "country", ts = "year", logs = "gdp_pc")## -- Imputation 1 --
##
## 1 2 3
##
## -- Imputation 2 --
##
## 1 2 3 4
##
## -- Imputation 3 --
##
## 1 2 3
##
## -- Imputation 4 --
##
## 1 2 3
##
## -- Imputation 5 --
##
## 1 2summary(a.out)##
## Amelia output with 5 imputed datasets.
## Return code: 1
## Message: Normal EM convergence.
##
## Chain Lengths:
## --------------
## Imputation 1: 3
## Imputation 2: 4
## Imputation 3: 3
## Imputation 4: 3
## Imputation 5: 2
##
## Rows after Listwise Deletion: 115
## Rows after Imputation: 120
## Patterns of missingness in the data: 3
##
## Fraction Missing for original variables:
## -----------------------------------------
##
## Fraction Missing
## year 0.00000000
## country 0.00000000
## gdp_pc 0.01666667
## infl 0.00000000
## trade 0.04166667
## civlib 0.00000000
## population 0.00000000plot(a.out)
mice
bwplot
library(mice)## Loading required package: lattice##
## Attaching package: 'mice'## The following objects are masked from 'package:base':
##
## cbind, rbindimp <- mice(boys, maxit=1)##
## iter imp variable
## 1 1 hgt wgt bmi hc gen phb tv reg
## 1 2 hgt wgt bmi hc gen phb tv reg
## 1 3 hgt wgt bmi hc gen phb tv reg
## 1 4 hgt wgt bmi hc gen phb tv reg
## 1 5 hgt wgt bmi hc gen phb tv reg### box-and-whisker plot per imputation of all numerical variables
bwplot(imp)
插值方法
通过?mice 查看的method 参数，进行各种不同的插值方法
require(rpart)## Loading required package: rpart# Imputation by classification and regression trees
imp <- mice(nhanes2, meth = 'cart', minbucket = 4)##
## iter imp variable
## 1 1 bmi hyp chl
## 1 2 bmi hyp chl
## 1 3 bmi hyp chl
## 1 4 bmi hyp chl
## 1 5 bmi hyp chl
## 2 1 bmi hyp chl
## 2 2 bmi hyp chl
## 2 3 bmi hyp chl
## 2 4 bmi hyp chl
## 2 5 bmi hyp chl
## 3 1 bmi hyp chl
## 3 2 bmi hyp chl
## 3 3 bmi hyp chl
## 3 4 bmi hyp chl
## 3 5 bmi hyp chl
## 4 1 bmi hyp chl
## 4 2 bmi hyp chl
## 4 3 bmi hyp chl
## 4 4 bmi hyp chl
## 4 5 bmi hyp chl
## 5 1 bmi hyp chl
## 5 2 bmi hyp chl
## 5 3 bmi hyp chl
## 5 4 bmi hyp chl
## 5 5 bmi hyp chlplot(imp)
# mice: Multivariate Imputation by Chained Equations
imp <- mice(nhanes)##
## iter imp variable
## 1 1 bmi hyp chl
## 1 2 bmi hyp chl
## 1 3 bmi hyp chl
## 1 4 bmi hyp chl
## 1 5 bmi hyp chl
## 2 1 bmi hyp chl
## 2 2 bmi hyp chl
## 2 3 bmi hyp chl
## 2 4 bmi hyp chl
## 2 5 bmi hyp chl
## 3 1 bmi hyp chl
## 3 2 bmi hyp chl
## 3 3 bmi hyp chl
## 3 4 bmi hyp chl
## 3 5 bmi hyp chl
## 4 1 bmi hyp chl
## 4 2 bmi hyp chl
## 4 3 bmi hyp chl
## 4 4 bmi hyp chl
## 4 5 bmi hyp chl
## 5 1 bmi hyp chl
## 5 2 bmi hyp chl
## 5 3 bmi hyp chl
## 5 4 bmi hyp chl
## 5 5 bmi hyp chlimp## Class: mids
## Number of multiple imputations: 5
## Imputation methods:
## age bmi hyp chl
## "" "pmm" "pmm" "pmm"
## PredictorMatrix:
## age bmi hyp chl
## age 0 1 1 1
## bmi 1 0 1 1
## hyp 1 1 0 1
## chl 1 1 1 0complete(imp) %>% head()# 获取数据## age bmi hyp chl
## 1 1 27.5 1 187
## 2 2 22.7 1 187
## 3 1 35.3 1 187
## 4 3 20.4 2 229
## 5 1 20.4 1 113
## 6 3 27.4 2 184# Imputation by random forests
library("lattice")
imp <- mice(nhanes2, meth = "rf", ntree = 3)##
## iter imp variable
## 1 1 bmi hyp chl
## 1 2 bmi hyp chl
## 1 3 bmi hyp chl
## 1 4 bmi hyp chl
## 1 5 bmi hyp chl
## 2 1 bmi hyp chl
## 2 2 bmi hyp chl
## 2 3 bmi hyp chl
## 2 4 bmi hyp chl
## 2 5 bmi hyp chl
## 3 1 bmi hyp chl
## 3 2 bmi hyp chl
## 3 3 bmi hyp chl
## 3 4 bmi hyp chl
## 3 5 bmi hyp chl
## 4 1 bmi hyp chl
## 4 2 bmi hyp chl
## 4 3 bmi hyp chl
## 4 4 bmi hyp chl
## 4 5 bmi hyp chl
## 5 1 bmi hyp chl
## 5 2 bmi hyp chl
## 5 3 bmi hyp chl
## 5 4 bmi hyp chl
## 5 5 bmi hyp chlplot(imp)
# Random sample from observed values
imp <- mice(nhanes2, meth = "sample")##
## iter imp variable
## 1 1 bmi hyp chl
## 1 2 bmi hyp chl
## 1 3 bmi hyp chl
## 1 4 bmi hyp chl
## 1 5 bmi hyp chl
## 2 1 bmi hyp chl
## 2 2 bmi hyp chl
## 2 3 bmi hyp chl
## 2 4 bmi hyp chl
## 2 5 bmi hyp chl
## 3 1 bmi hyp chl
## 3 2 bmi hyp chl
## 3 3 bmi hyp chl
## 3 4 bmi hyp chl
## 3 5 bmi hyp chl
## 4 1 bmi hyp chl
## 4 2 bmi hyp chl
## 4 3 bmi hyp chl
## 4 4 bmi hyp chl
## 4 5 bmi hyp chl
## 5 1 bmi hyp chl
## 5 2 bmi hyp chl
## 5 3 bmi hyp chl
## 5 4 bmi hyp chl
## 5 5 bmi hyp chlplot(imp)
# Predictive mean matching
imp <- mice(nhanes2, meth = "pmm")##
## iter imp variable
## 1 1 bmi hyp chl
## 1 2 bmi hyp chl
## 1 3 bmi hyp chl
## 1 4 bmi hyp chl
## 1 5 bmi hyp chl
## 2 1 bmi hyp chl
## 2 2 bmi hyp chl
## 2 3 bmi hyp chl
## 2 4 bmi hyp chl
## 2 5 bmi hyp chl
## 3 1 bmi hyp chl
## 3 2 bmi hyp chl
## 3 3 bmi hyp chl
## 3 4 bmi hyp chl
## 3 5 bmi hyp chl
## 4 1 bmi hyp chl
## 4 2 bmi hyp chl
## 4 3 bmi hyp chl
## 4 4 bmi hyp chl
## 4 5 bmi hyp chl
## 5 1 bmi hyp chl
## 5 2 bmi hyp chl
## 5 3 bmi hyp chl
## 5 4 bmi hyp chl
## 5 5 bmi hyp chlplot(imp)
densityplot
插值前后的数据分布
imp <- mice(sleep,method = "rf")##
## iter imp variable
## 1 1 NonD Dream Sleep Span Gest
## 1 2 NonD Dream Sleep Span Gest
## 1 3 NonD Dream Sleep Span Gest
## 1 4 NonD Dream Sleep Span Gest
## 1 5 NonD Dream Sleep Span Gest
## 2 1 NonD Dream Sleep Span Gest
## 2 2 NonD Dream Sleep Span Gest
## 2 3 NonD Dream Sleep Span Gest
## 2 4 NonD Dream Sleep Span Gest
## 2 5 NonD Dream Sleep Span Gest
## 3 1 NonD Dream Sleep Span Gest
## 3 2 NonD Dream Sleep Span Gest
## 3 3 NonD Dream Sleep Span Gest
## 3 4 NonD Dream Sleep Span Gest
## 3 5 NonD Dream Sleep Span Gest
## 4 1 NonD Dream Sleep Span Gest
## 4 2 NonD Dream Sleep Span Gest
## 4 3 NonD Dream Sleep Span Gest
## 4 4 NonD Dream Sleep Span Gest
## 4 5 NonD Dream Sleep Span Gest
## 5 1 NonD Dream Sleep Span Gest
## 5 2 NonD Dream Sleep Span Gest
## 5 3 NonD Dream Sleep Span Gest
## 5 4 NonD Dream Sleep Span Gest
## 5 5 NonD Dream Sleep Span Gestdensityplot(imp)
fluxplot
对缺失值的模型是进行可视化
fluxplot(nhanes2)
fluxplot(sleep)
ic
选择出那些包含缺失值的行
ic(sleep)## BodyWgt BrainWgt NonD Dream Sleep Span Gest Pred Exp Danger
## 1 6654.000 5712.0 NA NA 3.3 38.6 645 3 5 3
## 3 3.385 44.5 NA NA 12.5 14.0 60 1 1 1
## 4 0.920 5.7 NA NA 16.5 NA 25 5 2 3
## 13 0.550 2.4 7.6 2.7 10.3 NA NA 2 1 2
## 14 187.100 419.0 NA NA 3.1 40.0 365 5 5 5
## 19 1.410 17.5 4.8 1.3 6.1 34.0 NA 1 2 1
## 20 60.000 81.0 12.0 6.1 18.1 7.0 NA 1 1 1
## 21 529.000 680.0 NA 0.3 NA 28.0 400 5 5 5
## 24 207.000 406.0 NA NA 12.0 39.3 252 1 4 1
## 26 36.330 119.5 NA NA 13.0 16.2 63 1 1 1
## 30 100.000 157.0 NA NA 10.8 22.4 100 1 1 1
## 31 35.000 56.0 NA NA NA 16.3 33 3 5 4
## 35 0.122 3.0 8.2 2.4 10.6 NA 30 2 1 1
## 36 1.350 8.1 8.4 2.8 11.2 NA 45 3 1 3
## 41 250.000 490.0 NA 1.0 NA 23.6 440 5 5 5
## 47 4.288 39.2 NA NA 12.5 13.7 63 2 2 2
## 53 14.830 98.2 NA NA 2.6 17.0 150 5 5 5
## 55 1.400 12.5 NA NA 11.0 12.7 90 2 2 2
## 56 0.060 1.0 8.1 2.2 10.3 3.5 NA 3 1 2
## 62 4.050 17.0 NA NA NA 13.0 38 3 1 1ici(sleep) # 返回一个与数据集行数一样的向量，如果包含缺失值，则返回TRUE## [1] TRUE FALSE TRUE TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
## [12] FALSE TRUE TRUE FALSE FALSE FALSE FALSE TRUE TRUE TRUE FALSE
## [23] FALSE TRUE FALSE TRUE FALSE FALSE FALSE TRUE TRUE FALSE FALSE
## [34] FALSE TRUE TRUE FALSE FALSE FALSE FALSE TRUE FALSE FALSE FALSE
## [45] FALSE FALSE TRUE FALSE FALSE FALSE FALSE FALSE TRUE FALSE TRUE
## [56] TRUE FALSE FALSE FALSE FALSE FALSE TRUEmissForest
随机森林的缺失值填补方法
library(missForest)
data(iris)
summary(iris)## Sepal.Length Sepal.Width Petal.Length Petal.Width
## Min. :4.300 Min. :2.000 Min. :1.000 Min. :0.100
## 1st Qu.:5.100 1st Qu.:2.800 1st Qu.:1.600 1st Qu.:0.300
## Median :5.800 Median :3.000 Median :4.350 Median :1.300
## Mean :5.843 Mean :3.057 Mean :3.758 Mean :1.199
## 3rd Qu.:6.400 3rd Qu.:3.300 3rd Qu.:5.100 3rd Qu.:1.800
## Max. :7.900 Max. :4.400 Max. :6.900 Max. :2.500
## Species
## setosa :50
## versicolor:50
## virginica :50
##
##
## ## The data contains four continuous and one categorical variable.
## Artificially produce missing values using the 'prodNA' function:
set.seed(81)
iris.mis <- prodNA(iris, noNA = 0.2)
summary(iris.mis)## Sepal.Length Sepal.Width Petal.Length Petal.Width
## Min. :4.300 Min. :2.000 Min. :1.100 Min. :0.100
## 1st Qu.:5.200 1st Qu.:2.800 1st Qu.:1.600 1st Qu.:0.300
## Median :5.800 Median :3.000 Median :4.450 Median :1.300
## Mean :5.878 Mean :3.062 Mean :3.905 Mean :1.222
## 3rd Qu.:6.475 3rd Qu.:3.300 3rd Qu.:5.100 3rd Qu.:1.900
## Max. :7.900 Max. :4.400 Max. :6.900 Max. :2.500
## NA's :28 NA's :29 NA's :32 NA's :33
## Species
## setosa :40
## versicolor:38
## virginica :44
## NA's :28
##
##
## iris.imp <- missForest(iris.mis, xtrue = iris, verbose = TRUE)## missForest iteration 1 in progress...done!
## error(s): 0.1515932 0.03571429
## estimated error(s): 0.1542591 0.04918033
## difference(s): 0.01437743 0.1533333
## time: 0.086 seconds
##
## missForest iteration 2 in progress...done!
## error(s): 0.1492559 0.03571429
## estimated error(s): 0.1378178 0.04098361
## difference(s): 9.92852e-05 0
## time: 0.082 seconds
##
## missForest iteration 3 in progress...done!
## error(s): 0.1543363 0.03571429
## estimated error(s): 0.139291 0.03278689
## difference(s): 5.801445e-05 0
## time: 0.091 seconds
##
## missForest iteration 4 in progress...done!
## error(s): 0.1573035 0.03571429
## estimated error(s): 0.1391077 0.04918033
## difference(s): 3.97736e-05 0
## time: 0.086 seconds
##
## missForest iteration 5 in progress...done!
## error(s): 0.1554337 0.03571429
## estimated error(s): 0.1360053 0.01639344
## difference(s): 3.719036e-05 0
## time: 0.083 seconds
##
## missForest iteration 6 in progress...done!
## error(s): 0.157201 0.03571429
## estimated error(s): 0.1377794 0.04918033
## difference(s): 3.631526e-05 0
## time: 0.094 seconds
##
## missForest iteration 7 in progress...done!
## error(s): 0.1571887 0.03571429
## estimated error(s): 0.1353849 0.02459016
## difference(s): 2.638922e-05 0
## time: 0.091 seconds
##
## missForest iteration 8 in progress...done!
## error(s): 0.1566576 0.03571429
## estimated error(s): 0.1377474 0.03278689
## difference(s): 2.951237e-05 0
## time: 0.1 seconds# xtrue 可以不选，
sleep.imp <- missForest(data.frame(sleep)) # 这里好像只能传递一个dataframe## missForest iteration 1 in progress...done!
## missForest iteration 2 in progress...done!
## missForest iteration 3 in progress...done!
## missForest iteration 4 in progress...done!
## missForest iteration 5 in progress...done!
## missForest iteration 6 in progress...done!