#install.packages("AER")
library(AER)
## Warning: package 'AER' was built under R version 3.5.1
## Loading required package: car
## Warning: package 'car' was built under R version 3.5.1
## Loading required package: carData
## Loading required package: lmtest
## Warning: package 'lmtest' was built under R version 3.5.1
## Loading required package: zoo
## Warning: package 'zoo' was built under R version 3.5.1
##
## Attaching package: 'zoo'
## The following objects are masked from 'package:base':
##
## as.Date, as.Date.numeric
## Loading required package: sandwich
## Warning: package 'sandwich' was built under R version 3.5.1
## Loading required package: survival
data(Affairs,package="AER")
View(Affairs)
colnames(Affairs)
## [1] "affairs" "gender" "age" "yearsmarried"
## [5] "children" "religiousness" "education" "occupation"
## [9] "rating"
## Affar is not Having=No= 0
## Affair is Having=Yes= 1
Affairs$CPaffairs <- NA
Affairs$CPaffairs[Affairs$affairs==0]=0
Affairs$CPaffairs[Affairs$affairs>=1]=1
View(Affairs)
contrasts(Affairs$gender)
## male
## female 0
## male 1
## For Female= 0
## For Male = 1
Affairs$CPgender <- NA
Affairs$CPgender[Affairs$gender=="female"]=0
Affairs$CPgender[Affairs$gender=="male"]=1
contrasts(Affairs$children)
## yes
## no 0
## yes 1
## Childrens are not Having=No= 0
## Childrens are Having=Yes= 1
Affairs$CPchildren <- NA
Affairs$CPchildren[Affairs$children=="no"]=0
Affairs$CPchildren[Affairs$children=="yes"]=1
Data <- Affairs[,-c(1,2,5)]
class(Data)
## [1] "data.frame"
summary(Data)
## age yearsmarried religiousness education
## Min. :17.50 Min. : 0.125 Min. :1.000 Min. : 9.00
## 1st Qu.:27.00 1st Qu.: 4.000 1st Qu.:2.000 1st Qu.:14.00
## Median :32.00 Median : 7.000 Median :3.000 Median :16.00
## Mean :32.49 Mean : 8.178 Mean :3.116 Mean :16.17
## 3rd Qu.:37.00 3rd Qu.:15.000 3rd Qu.:4.000 3rd Qu.:18.00
## Max. :57.00 Max. :15.000 Max. :5.000 Max. :20.00
## occupation rating CPaffairs CPgender
## Min. :1.000 Min. :1.000 Min. :0.0000 Min. :0.0000
## 1st Qu.:3.000 1st Qu.:3.000 1st Qu.:0.0000 1st Qu.:0.0000
## Median :5.000 Median :4.000 Median :0.0000 Median :0.0000
## Mean :4.195 Mean :3.932 Mean :0.2496 Mean :0.4759
## 3rd Qu.:6.000 3rd Qu.:5.000 3rd Qu.:0.0000 3rd Qu.:1.0000
## Max. :7.000 Max. :5.000 Max. :1.0000 Max. :1.0000
## CPchildren
## Min. :0.0000
## 1st Qu.:0.0000
## Median :1.0000
## Mean :0.7155
## 3rd Qu.:1.0000
## Max. :1.0000
attach(Data)
colnames(Data)
## [1] "age" "yearsmarried" "religiousness" "education"
## [5] "occupation" "rating" "CPaffairs" "CPgender"
## [9] "CPchildren"
plot(Data)
cor(Data)
## age yearsmarried religiousness education
## age 1.00000000 0.77754585 0.193776931 0.134596015
## yearsmarried 0.77754585 1.00000000 0.218260672 0.040002716
## religiousness 0.19377693 0.21826067 1.000000000 -0.042571079
## education 0.13459601 0.04000272 -0.042571079 1.000000000
## occupation 0.16641254 0.04459201 -0.039722324 0.533605242
## rating -0.19899990 -0.24311883 0.024295777 0.109303473
## CPaffairs 0.05732152 0.14030120 -0.130090072 0.019285840
## CPgender 0.19064108 0.03028252 0.007679445 0.397504680
## CPchildren 0.42193082 0.57285736 0.129351259 -0.006985882
## occupation rating CPaffairs CPgender
## age 0.16641254 -0.198999899 0.05732152 0.190641080
## yearsmarried 0.04459201 -0.243118827 0.14030120 0.030282521
## religiousness -0.03972232 0.024295777 -0.13009007 0.007679445
## education 0.53360524 0.109303473 0.01928584 0.397504680
## occupation 1.00000000 0.017422273 0.03764236 0.467923152
## rating 0.01742227 1.000000000 -0.25381444 -0.007523748
## CPaffairs 0.03764236 -0.253814441 1.00000000 0.050955678
## CPgender 0.46792315 -0.007523748 0.05095568 1.000000000
## CPchildren -0.09272712 -0.196275616 0.13360509 0.069222338
## CPchildren
## age 0.421930815
## yearsmarried 0.572857364
## religiousness 0.129351259
## education -0.006985882
## occupation -0.092727118
## rating -0.196275616
## CPaffairs 0.133605091
## CPgender 0.069222338
## CPchildren 1.000000000
library(corpcor)
cor2pcor(cor(Data))
## [,1] [,2] [,3] [,4] [,5]
## [1,] 1.00000000 0.716325696 0.03443158 0.034786185 0.07179874
## [2,] 0.71632570 1.000000000 0.11742940 -0.001835041 0.03380241
## [3,] 0.03443158 0.117429399 1.00000000 -0.047130873 -0.03372505
## [4,] 0.03478618 -0.001835041 -0.04713087 1.000000000 0.41877583
## [5,] 0.07179874 0.033802414 -0.03372505 0.418775832 1.00000000
## [6,] -0.05300696 -0.073531639 0.05543208 0.138532776 -0.02880954
## [7,] -0.10071835 0.118777157 -0.14670237 0.014809502 0.02052325
## [8,] 0.19121521 -0.198155079 0.03450469 0.185846871 0.32457915
## [9,] -0.04354499 0.411627444 0.01016725 0.029326573 -0.18545642
## [,6] [,7] [,8] [,9]
## [1,] -0.05300696 -0.10071835 0.19121521 -0.04354499
## [2,] -0.07353164 0.11877716 -0.19815508 0.41162744
## [3,] 0.05543208 -0.14670237 0.03450469 0.01016725
## [4,] 0.13853278 0.01480950 0.18584687 0.02932657
## [5,] -0.02880954 0.02052325 0.32457915 -0.18545642
## [6,] 1.00000000 -0.21940016 -0.01726631 -0.05872978
## [7,] -0.21940016 1.00000000 0.04636879 0.04795731
## [8,] -0.01726631 0.04636879 1.00000000 0.14413766
## [9,] -0.05872978 0.04795731 0.14413766 1.00000000
Model1 <- glm(CPaffairs~age+yearsmarried+religiousness+education+occupation+rating+CPgender+CPchildren)
summary(Model1)
##
## Call:
## glm(formula = CPaffairs ~ age + yearsmarried + religiousness +
## education + occupation + rating + CPgender + CPchildren)
##
## Deviance Residuals:
## Min 1Q Median 3Q Max
## -0.6336 -0.2691 -0.1632 0.1151 1.0659
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 0.736107 0.151502 4.859 1.51e-06 ***
## age -0.007420 0.003013 -2.463 0.014057 *
## yearsmarried 0.015981 0.005491 2.911 0.003743 **
## religiousness -0.053698 0.014881 -3.608 0.000334 ***
## education 0.003078 0.008542 0.360 0.718699
## occupation 0.005913 0.011838 0.499 0.617643
## rating -0.087455 0.015984 -5.472 6.59e-08 ***
## CPgender 0.045201 0.040022 1.129 0.259180
## CPchildren 0.054487 0.046642 1.168 0.243198
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## (Dispersion parameter for gaussian family taken to be 0.169871)
##
## Null deviance: 112.56 on 600 degrees of freedom
## Residual deviance: 100.56 on 592 degrees of freedom
## AIC: 651.09
##
## Number of Fisher Scoring iterations: 2
#Checking for Outliears
influence.measures(Model1)
## Influence measures of
## glm(formula = CPaffairs ~ age + yearsmarried + religiousness + education + occupation + rating + CPgender + CPchildren) :
##
## dfb.1_ dfb.age dfb.yrsm dfb.rlgs dfb.edct dfb.occp dfb.rtng
## 1 -3.42e-03 2.76e-03 -2.63e-02 3.01e-03 2.81e-03 -1.85e-02 1.65e-04
## 2 -9.66e-03 -1.85e-04 1.91e-03 -1.14e-02 1.48e-02 -2.15e-02 1.76e-03
## 3 -8.59e-02 4.82e-02 -8.83e-02 9.90e-02 4.75e-02 4.33e-02 -3.07e-02
## 4 8.05e-03 -9.28e-03 4.21e-03 -4.51e-03 2.38e-04 -1.25e-03 -4.72e-03
## 5 -4.38e-02 1.96e-02 1.57e-03 1.84e-02 5.11e-03 -1.65e-02 4.28e-02
## 6 3.81e-03 -9.68e-03 7.92e-03 4.65e-03 -1.62e-03 -2.86e-03 -4.00e-03
## 7 -5.46e-02 -5.61e-03 9.84e-03 1.86e-02 1.99e-02 3.13e-02 2.75e-02
## 8 -4.33e-03 -7.20e-02 2.35e-02 4.09e-02 4.00e-02 9.59e-03 -2.03e-02
## 9 -2.51e-02 6.30e-02 -7.18e-02 -3.09e-02 -6.22e-02 8.37e-02 7.97e-02
## 10 -6.38e-03 3.50e-03 -1.52e-03 -5.22e-03 7.15e-03 9.90e-04 -4.00e-03
## 11 -1.46e-02 7.45e-02 -8.79e-02 5.99e-02 -6.53e-02 -4.14e-02 1.01e-01
## 12 9.62e-03 8.20e-03 1.97e-02 -2.30e-02 -4.62e-03 -1.74e-02 3.88e-03
## 13 1.54e-02 -1.24e-02 -1.46e-03 -2.62e-02 7.43e-03 -1.24e-02 -5.91e-03
## 14 -7.67e-03 4.66e-03 3.08e-03 1.32e-02 -1.02e-02 -1.26e-02 7.56e-03
## 15 -8.48e-03 -7.07e-04 1.53e-03 -1.04e-02 1.08e-02 -1.27e-02 1.93e-03
## 16 6.24e-03 1.60e-02 -4.80e-02 7.55e-02 -3.93e-03 -2.56e-02 -4.98e-02
## 17 7.61e-03 2.47e-02 -5.19e-02 5.15e-02 -5.70e-02 1.01e-02 3.03e-02
## 18 -6.19e-03 9.66e-04 7.23e-03 -4.37e-03 3.70e-05 -1.26e-02 5.75e-03
## 19 -4.80e-03 2.14e-03 5.42e-04 9.28e-03 2.33e-03 -1.07e-02 -8.89e-03
## 20 -1.70e-02 2.25e-02 -2.63e-02 3.06e-02 3.24e-03 3.13e-02 -3.15e-02
## 21 -4.80e-03 2.14e-03 5.42e-04 9.28e-03 2.33e-03 -1.07e-02 -8.89e-03
## 22 -4.80e-03 2.14e-03 5.42e-04 9.28e-03 2.33e-03 -1.07e-02 -8.89e-03
## 23 -2.10e-03 3.25e-02 -1.72e-02 -2.14e-02 1.89e-03 -3.16e-02 -2.09e-03
## 24 -1.75e-03 4.68e-04 -4.94e-03 5.89e-03 1.84e-03 2.05e-02 -1.93e-02
## 25 3.50e-02 -3.95e-02 5.24e-02 2.10e-02 -2.85e-02 -4.06e-03 2.54e-03
## 26 4.44e-03 2.71e-03 5.67e-04 9.04e-03 -1.15e-02 -5.33e-03 -7.38e-03
## 27 1.23e-03 2.24e-03 -5.31e-03 -3.72e-03 -5.42e-03 1.05e-02 -3.25e-03
## 28 3.63e-02 7.66e-03 -1.73e-02 -3.54e-02 -2.86e-02 -1.39e-03 -1.49e-03
## 29 -1.96e-03 3.69e-03 1.18e-02 5.00e-04 1.24e-02 -8.82e-03 -1.75e-02
## 30 1.11e-02 -4.36e-03 2.74e-02 -3.39e-03 -8.83e-03 -2.30e-02 2.53e-03
## 31 3.61e-02 1.16e-02 -2.71e-02 -2.52e-02 -4.85e-02 3.18e-04 3.10e-02
## 32 -1.06e-03 1.60e-03 1.01e-03 -1.35e-03 1.04e-03 -6.54e-03 -4.62e-03
## 33 -1.31e-03 -3.91e-03 9.70e-03 -1.25e-02 2.44e-03 -5.69e-03 4.65e-03
## 34 1.09e-03 -4.90e-03 -4.80e-03 -2.33e-02 1.97e-02 -2.44e-02 -6.81e-03
## 35 2.32e-03 -2.33e-02 4.35e-02 5.89e-02 -1.49e-03 -2.13e-02 -3.41e-03
## 36 -1.11e-02 6.22e-03 8.30e-03 -2.46e-02 -3.45e-03 -1.62e-02 2.75e-02
## 37 -2.13e-02 -1.51e-02 -1.41e-02 1.46e-02 2.65e-02 2.64e-02 -1.50e-02
## 38 1.65e-03 5.67e-03 -3.97e-03 -6.69e-03 -2.79e-03 -4.25e-03 -3.55e-03
## 39 -3.43e-02 8.02e-03 1.63e-02 4.77e-02 3.16e-02 1.25e-02 -3.00e-02
## 40 6.66e-04 -6.87e-04 1.14e-03 -4.01e-04 -4.37e-03 8.19e-03 -2.00e-03
## 41 2.31e-02 1.37e-02 -6.83e-03 -2.44e-02 -1.65e-02 -4.12e-03 -1.18e-02
## 42 2.84e-02 -3.71e-02 1.66e-02 -3.51e-02 -5.79e-03 -8.14e-03 1.73e-02
## 43 -3.84e-04 -1.62e-04 6.80e-04 -1.97e-03 -2.58e-04 1.54e-03 5.19e-04
## 44 -2.39e-02 -4.54e-03 8.13e-02 2.38e-02 -5.37e-02 -7.76e-02 1.65e-01
## 45 1.58e-02 -5.91e-03 2.51e-02 -4.04e-02 -1.26e-02 -2.07e-02 2.38e-02
## 46 -1.48e-02 2.01e-02 -1.87e-02 -4.19e-04 9.41e-03 -6.76e-04 -1.22e-02
## 47 1.56e-02 8.27e-03 3.64e-03 -1.27e-02 -7.32e-03 -2.18e-02 -1.15e-02
## 48 2.62e-02 -1.20e-02 -1.90e-02 4.19e-02 -2.66e-02 -1.58e-02 -1.22e-02
## 49 3.21e-03 -3.21e-03 1.13e-02 -6.62e-03 4.31e-04 6.37e-03 -5.69e-03
## 50 3.26e-02 7.38e-03 -3.97e-02 4.85e-02 -4.21e-02 1.68e-03 -1.22e-02
## 51 1.16e-03 6.72e-05 -3.05e-03 1.13e-02 -2.85e-03 -3.63e-04 3.05e-03
## 52 2.65e-02 3.91e-03 1.23e-02 2.95e-02 -3.86e-02 -6.27e-03 8.12e-04
## 53 1.53e-02 3.75e-03 7.89e-03 -1.71e-02 -1.03e-02 -3.73e-03 -5.08e-03
## 54 2.17e-02 5.90e-02 -3.57e-02 -2.86e-02 -4.01e-02 -8.94e-03 3.67e-03
## 55 -1.88e-02 3.28e-02 -3.69e-02 4.70e-02 -9.70e-03 1.25e-02 -2.14e-02
## 56 -7.00e-02 2.91e-02 -3.96e-02 -3.68e-02 8.38e-03 3.57e-03 1.27e-01
## 57 -8.04e-04 8.95e-03 1.66e-02 -2.93e-02 2.23e-03 1.32e-03 4.14e-03
## 58 1.80e-02 6.39e-03 -1.96e-02 -6.34e-03 -2.32e-02 3.23e-02 -1.77e-02
## 59 3.24e-03 -5.02e-03 7.84e-03 -7.51e-03 -3.39e-03 -3.78e-03 3.25e-03
## 60 2.87e-02 2.61e-02 -1.30e-02 -2.40e-02 -3.46e-02 -6.08e-03 2.42e-03
## 61 -1.25e-02 -3.35e-02 2.00e-02 -5.01e-02 4.89e-02 -8.83e-02 4.70e-02
## 62 3.33e-02 -1.27e-03 3.07e-03 3.16e-03 -3.42e-02 -3.48e-03 -7.85e-04
## 63 -3.69e-03 -1.33e-04 3.40e-03 8.14e-03 2.12e-03 -9.79e-03 -7.78e-03
## 64 -1.07e-03 5.05e-03 -1.12e-02 1.58e-02 -1.18e-02 2.13e-02 -1.25e-02
## 65 1.41e-02 6.32e-03 -1.20e-02 -1.76e-02 -2.40e-02 5.04e-03 7.19e-03
## 66 7.99e-03 -1.36e-03 -3.37e-02 4.19e-02 -7.92e-03 4.31e-02 -4.05e-02
## 67 3.33e-02 7.21e-05 4.81e-03 -1.98e-02 -2.93e-02 -3.71e-03 1.38e-03
## 68 2.12e-02 -2.06e-02 1.89e-03 7.81e-03 2.65e-03 -2.36e-02 -2.31e-02
## 69 -9.73e-04 -8.96e-04 -9.43e-04 5.89e-03 -1.39e-04 2.76e-03 1.33e-03
## 70 -7.96e-03 -1.22e-02 1.51e-02 1.20e-02 6.97e-03 -2.67e-02 4.10e-03
## 71 2.87e-03 -7.40e-04 -3.83e-04 -6.06e-04 -2.86e-03 -4.50e-03 -5.32e-03
## 72 1.27e-03 1.96e-03 -3.32e-04 -1.10e-02 6.73e-03 -6.81e-03 -8.10e-03
## 73 -1.60e-02 -2.19e-03 4.78e-03 7.45e-03 2.15e-02 -1.64e-02 -8.91e-03
## 74 -2.17e-02 -2.52e-02 -3.74e-03 -1.29e-02 3.88e-02 6.37e-03 1.28e-02
## 75 -7.56e-02 7.48e-02 -1.06e-01 9.66e-02 7.81e-02 -2.81e-02 -7.16e-02
## 76 -1.87e-03 1.65e-02 -4.01e-03 -1.32e-02 1.13e-02 -8.49e-03 -1.73e-02
## 77 4.42e-03 9.61e-04 1.72e-02 -2.21e-03 2.88e-03 -1.80e-02 -1.05e-02
## 78 3.33e-03 5.13e-03 1.29e-02 -4.46e-04 9.04e-03 -1.85e-02 -1.75e-02
## 79 -1.06e-03 1.60e-03 1.01e-03 -1.35e-03 1.04e-03 -6.54e-03 -4.62e-03
## 80 -4.61e-02 -1.16e-01 5.36e-02 5.98e-02 9.88e-02 -7.84e-02 4.96e-02
## 81 1.99e-03 3.15e-02 6.42e-03 -4.86e-03 -1.92e-03 -2.05e-02 -1.61e-02
## 82 2.54e-02 -2.41e-02 1.00e-02 -3.45e-03 -8.96e-03 1.30e-03 -1.16e-02
## 83 -1.00e-02 -1.55e-03 6.46e-03 1.26e-02 -1.06e-02 1.20e-02 6.69e-03
## 84 5.76e-03 -2.99e-02 2.11e-02 -1.13e-02 -9.09e-03 2.39e-02 1.59e-02
## 85 -2.45e-03 -6.29e-04 5.45e-03 -3.58e-03 4.34e-03 2.42e-03 -3.82e-03
## 86 -1.47e-02 -9.63e-04 1.14e-02 3.77e-02 -3.24e-03 -3.32e-02 7.25e-03
## 87 1.20e-02 3.32e-02 -3.89e-02 -1.20e-02 -6.14e-03 -2.00e-02 -2.58e-02
## 88 -2.92e-03 -1.76e-02 3.31e-02 -1.37e-02 -3.89e-02 -8.14e-03 7.37e-02
## 89 -1.19e-03 -1.62e-03 1.22e-02 -1.18e-04 5.43e-04 1.05e-02 -8.59e-03
## 90 -1.42e-02 9.62e-03 -3.52e-02 1.43e-02 3.22e-04 4.15e-02 -1.26e-02
## 91 -2.03e-02 3.95e-02 -4.90e-02 -1.44e-02 1.52e-02 -2.64e-03 -1.06e-02
## 92 -6.28e-02 -8.77e-03 3.50e-03 4.58e-02 6.57e-02 -2.64e-02 1.89e-02
## 93 -1.09e-04 -2.68e-03 3.86e-03 -1.53e-02 1.35e-02 -6.89e-03 -4.75e-03
## 94 4.77e-02 -5.16e-02 2.75e-02 -2.98e-02 -3.26e-02 1.87e-02 1.78e-02
## 95 -2.46e-02 -1.64e-02 1.33e-02 4.14e-02 -6.35e-04 3.75e-02 4.55e-03
## 96 3.91e-03 -3.17e-03 -2.97e-03 -7.17e-03 5.26e-04 8.56e-03 -7.76e-03
## 97 -1.68e-02 -1.21e-01 6.54e-02 1.45e-02 3.18e-02 -2.77e-02 1.13e-01
## 98 -3.04e-02 -7.98e-03 -3.22e-03 7.96e-02 4.05e-02 -3.63e-02 -1.89e-02
## 99 1.60e-03 2.82e-02 -4.71e-02 1.30e-02 6.94e-03 -6.10e-04 -3.79e-02
## 100 3.11e-02 2.80e-02 -3.80e-02 -1.31e-02 -2.54e-02 -2.94e-03 -2.62e-02
## 101 2.26e-04 9.48e-03 -7.12e-03 -1.36e-02 -4.97e-05 1.06e-02 -9.31e-03
## 102 5.91e-03 -4.23e-03 3.62e-04 3.67e-02 -2.00e-03 -1.79e-02 -8.73e-03
## 103 1.88e-03 3.10e-04 -1.08e-03 1.64e-03 -3.05e-03 1.74e-03 1.22e-03
## 104 1.24e-02 -1.07e-02 4.90e-03 -5.48e-03 -4.23e-03 4.39e-04 -4.87e-03
## 105 2.34e-02 1.94e-02 -2.77e-02 -1.78e-02 -1.67e-02 -3.64e-02 -5.28e-03
## 106 -3.24e-02 3.01e-02 5.89e-03 -2.43e-02 4.53e-02 -4.25e-02 -2.04e-03
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## 595 8.41e-02 -4.75e-02 2.62e-02 4.63e-02 -7.41e-02 3.05e-03 -4.30e-02
## 596 2.95e-02 4.17e-02 5.95e-03 -1.83e-02 -6.51e-03 -3.72e-02 -7.62e-02
## 597 1.45e-01 -1.63e-02 -4.40e-02 -1.41e-01 -1.44e-01 -5.64e-02 9.37e-02
## 598 -3.17e-02 -1.85e-02 1.27e-02 -6.29e-02 5.45e-02 4.23e-02 8.40e-03
## 599 1.27e-02 -5.10e-02 5.08e-02 -7.74e-02 -3.87e-02 5.70e-02 8.68e-02
## 600 4.69e-02 -9.17e-02 2.98e-02 1.17e-02 2.11e-02 3.25e-02 -8.92e-02
## 601 3.71e-02 -9.09e-02 1.48e-01 -4.02e-02 -8.60e-03 -1.00e-01 1.03e-01
## dfb.CPgn dfb.CPch dffit cov.r cook.d hat inf
## 1 -1.74e-02 5.15e-02 -7.06e-02 1.023 5.55e-04 0.01296
## 2 1.31e-02 1.17e-02 -3.45e-02 1.030 1.32e-04 0.01521
## 3 -1.68e-02 1.43e-02 -1.62e-01 1.021 2.92e-03 0.02280
## 4 -5.09e-04 -5.95e-04 -1.38e-02 1.038 2.12e-05 0.02183
## 5 -3.24e-02 3.76e-02 -9.62e-02 1.017 1.03e-03 0.01266
## 6 8.75e-03 4.43e-03 -1.77e-02 1.030 3.48e-05 0.01444
## 7 -4.44e-03 3.38e-02 -8.16e-02 1.026 7.40e-04 0.01645
## 8 -2.71e-02 2.71e-03 -1.04e-01 1.035 1.21e-03 0.02561
## 9 5.74e-03 2.46e-02 -1.60e-01 1.016 2.84e-03 0.01986
## 10 -9.82e-03 7.20e-03 -1.72e-02 1.031 3.27e-05 0.01510
## 11 -2.39e-02 7.08e-03 -2.06e-01 0.998 4.70e-03 0.01792
## 12 -9.99e-03 -3.02e-02 -5.58e-02 1.021 3.46e-04 0.01018
## 13 -1.06e-02 -3.29e-04 -4.96e-02 1.023 2.73e-04 0.01062
## 14 2.54e-02 1.98e-02 -5.35e-02 1.021 3.19e-04 0.00975
## 15 9.93e-03 1.24e-02 -2.85e-02 1.026 9.03e-05 0.01162
## 16 4.02e-02 -7.95e-03 -1.17e-01 1.023 1.51e-03 0.01853
## 17 5.10e-02 2.60e-03 -1.24e-01 1.007 1.71e-03 0.01179
## 18 1.71e-02 1.19e-02 -3.58e-02 1.023 1.42e-04 0.00915
## 19 1.34e-02 1.06e-02 -3.21e-02 1.024 1.15e-04 0.01004
## 20 -1.19e-03 -8.93e-03 -7.23e-02 1.023 5.82e-04 0.01339
## 21 1.34e-02 1.06e-02 -3.21e-02 1.024 1.15e-04 0.01004
## 22 1.34e-02 1.06e-02 -3.21e-02 1.024 1.15e-04 0.01004
## 23 3.00e-02 -2.02e-02 -6.37e-02 1.019 4.51e-04 0.00967
## 24 2.39e-03 -6.39e-03 -3.95e-02 1.023 1.74e-04 0.00973
## 25 8.91e-04 -3.74e-02 -7.99e-02 1.024 7.10e-04 0.01499
## 26 1.67e-02 1.15e-02 -3.55e-02 1.025 1.40e-04 0.01116
## 27 -1.22e-04 1.05e-02 -1.68e-02 1.034 3.15e-05 0.01804
## 28 -1.02e-02 1.77e-03 -6.57e-02 1.022 4.80e-04 0.01217
## 29 -1.64e-02 -2.36e-02 -4.25e-02 1.022 2.01e-04 0.00933
## 30 3.57e-02 -3.55e-02 -5.62e-02 1.021 3.52e-04 0.01038
## 31 -1.61e-02 5.27e-03 -9.52e-02 1.012 1.01e-03 0.01024
## 32 8.10e-03 6.27e-03 -1.82e-02 1.024 3.68e-05 0.00925
## 33 -7.96e-03 1.03e-02 -2.94e-02 1.026 9.60e-05 0.01167
## 34 2.01e-02 -4.13e-03 -4.88e-02 1.026 2.65e-04 0.01317
## 35 -1.23e-02 -4.89e-02 -1.00e-01 1.018 1.11e-03 0.01354
## 36 2.25e-02 1.89e-02 -5.73e-02 1.026 3.66e-04 0.01381
## 37 6.31e-05 6.18e-03 -7.00e-02 1.023 5.46e-04 0.01295
## 38 6.74e-03 7.83e-03 -1.78e-02 1.027 3.53e-05 0.01186
## 39 -4.36e-02 -3.73e-02 -9.37e-02 1.030 9.77e-04 0.02020
## 40 7.50e-04 5.14e-03 -1.24e-02 1.030 1.71e-05 0.01464
## 41 -7.01e-03 -8.91e-03 -4.35e-02 1.028 2.10e-04 0.01400
## 42 -6.22e-03 5.62e-04 -7.34e-02 1.024 5.99e-04 0.01426
## 43 8.99e-05 1.26e-03 -3.44e-03 1.035 1.32e-06 0.01857
## 44 1.10e-01 -8.38e-02 -2.35e-01 1.017 6.13e-03 0.02919
## 45 3.56e-02 -2.47e-02 -6.52e-02 1.026 4.74e-04 0.01505
## 46 -2.42e-02 2.45e-02 -4.44e-02 1.026 2.19e-04 0.01237
## 47 2.43e-02 -1.90e-02 -4.16e-02 1.028 1.93e-04 0.01441
## 48 5.08e-02 -6.43e-03 -9.05e-02 1.016 9.10e-04 0.01133
## 49 -8.87e-03 -1.04e-02 -2.19e-02 1.030 5.36e-05 0.01440
## 50 -2.00e-02 2.60e-03 -1.04e-01 1.012 1.20e-03 0.01104
## 51 -3.01e-03 -5.70e-03 1.79e-02 1.030 3.58e-05 0.01471
## 52 -1.14e-02 -3.31e-02 -8.20e-02 1.013 7.48e-04 0.00916
## 53 -2.33e-03 -1.25e-02 -2.94e-02 1.032 9.63e-05 0.01730
## 54 -2.08e-02 -1.60e-02 -9.29e-02 1.019 9.59e-04 0.01329
## 55 -3.75e-02 4.25e-02 -8.85e-02 1.026 8.71e-04 0.01690
## 56 3.05e-02 1.38e-02 -1.67e-01 1.008 3.08e-03 0.01721
## 57 -1.64e-02 -2.14e-02 -4.85e-02 1.031 2.61e-04 0.01691
## 58 5.00e-03 4.91e-03 -5.14e-02 1.030 2.94e-04 0.01658
## 59 9.20e-03 4.90e-03 -1.80e-02 1.028 3.62e-05 0.01276
## 60 -1.35e-02 -1.54e-02 -6.85e-02 1.017 5.22e-04 0.00927
## 61 6.05e-02 -1.34e-02 -1.35e-01 1.035 2.02e-03 0.02799
## 62 -9.86e-03 -1.76e-02 -6.24e-02 1.014 4.34e-04 0.00693
## 63 1.28e-02 8.40e-03 -2.94e-02 1.024 9.62e-05 0.01017
## 64 -2.49e-02 2.91e-02 -4.99e-02 1.026 2.77e-04 0.01284
## 65 -1.29e-02 3.46e-02 -5.38e-02 1.026 3.22e-04 0.01351
## 66 -4.35e-02 9.92e-03 -8.94e-02 1.024 8.89e-04 0.01574
## 67 -7.52e-03 -1.45e-02 -5.52e-02 1.018 3.39e-04 0.00793
## 68 3.03e-02 -7.54e-03 -5.24e-02 1.029 3.06e-04 0.01550
## 69 -3.33e-03 -2.48e-03 9.23e-03 1.031 9.49e-06 0.01550
## 70 2.72e-02 1.32e-02 -5.17e-02 1.025 2.98e-04 0.01266
## 71 9.59e-03 9.37e-03 -1.95e-02 1.024 4.22e-05 0.00914
## 72 6.54e-03 -5.74e-03 -1.98e-02 1.027 4.35e-05 0.01187
## 73 7.14e-03 5.45e-03 -3.25e-02 1.034 1.18e-04 0.01852
## 74 -4.05e-02 8.30e-03 -8.24e-02 1.018 7.55e-04 0.01128
## 75 -7.20e-02 5.11e-03 -1.76e-01 1.028 3.45e-03 0.02827
## 76 -1.88e-02 -1.56e-02 -4.20e-02 1.022 1.96e-04 0.00971
## 77 1.93e-02 -2.59e-02 -3.91e-02 1.029 1.70e-04 0.01456
## 78 -1.11e-02 -2.69e-02 -4.64e-02 1.022 2.40e-04 0.01007
## 79 8.10e-03 6.27e-03 -1.82e-02 1.024 3.68e-05 0.00925
## 80 -1.29e-02 -7.12e-03 -2.01e-01 1.028 4.50e-03 0.03123
## 81 -1.47e-02 -3.74e-02 -6.89e-02 1.027 5.28e-04 0.01582
## 82 3.08e-04 -1.27e-03 -3.50e-02 1.036 1.36e-04 0.02100
## 83 1.24e-02 2.01e-02 -4.57e-02 1.021 2.32e-04 0.00920
## 84 -1.42e-02 2.24e-02 -5.09e-02 1.041 2.88e-04 0.02610
## 85 7.80e-04 -6.35e-03 -1.34e-02 1.032 1.99e-05 0.01656
## 86 3.76e-02 1.62e-02 -8.01e-02 1.024 7.13e-04 0.01519
## 87 2.36e-02 -3.92e-03 -6.54e-02 1.025 4.76e-04 0.01425
## 88 4.64e-02 3.12e-02 -1.08e-01 1.027 1.30e-03 0.02005
## 89 3.57e-03 -1.50e-02 -2.91e-02 1.028 9.41e-05 0.01347
## 90 7.09e-04 9.41e-03 -7.46e-02 1.018 6.19e-04 0.01073
## 91 9.82e-03 3.07e-03 -7.14e-02 1.018 5.68e-04 0.01017
## 92 -4.75e-02 -2.01e-02 -1.07e-01 1.010 1.28e-03 0.01066
## 93 -2.12e-02 -1.18e-02 -4.23e-02 1.016 1.99e-04 0.00543
## 94 -2.59e-03 3.01e-03 -8.12e-02 1.036 7.34e-04 0.02362
## 95 -3.98e-02 3.27e-02 -8.20e-02 1.028 7.48e-04 0.01752
## 96 1.34e-03 1.33e-03 -1.91e-02 1.031 4.04e-05 0.01562
## 97 -1.32e-02 3.87e-03 -2.00e-01 1.021 4.43e-03 0.02687
## 98 -3.03e-02 -2.59e-02 -1.11e-01 1.013 1.38e-03 0.01267
## 99 -3.36e-02 3.62e-03 -7.29e-02 1.019 5.91e-04 0.01093
## 100 -1.58e-02 1.13e-03 -6.94e-02 1.023 5.36e-04 0.01319
## 101 2.60e-04 -3.20e-03 -2.76e-02 1.029 8.50e-05 0.01451
## 102 -1.90e-02 -2.15e-02 -7.05e-02 1.011 5.53e-04 0.00663
## 103 -9.24e-04 -1.16e-03 5.17e-03 1.032 2.98e-06 0.01595
## 104 2.49e-04 -5.58e-04 -1.66e-02 1.039 3.07e-05 0.02334
## 105 4.45e-02 -7.52e-03 -7.64e-02 1.020 6.49e-04 0.01218
## 106 -2.50e-02 -3.43e-02 -8.27e-02 1.028 7.60e-04 0.01788
## 107 -2.30e-02 -2.13e-02 -5.87e-02 1.017 3.83e-04 0.00803
## 108 -3.10e-03 1.25e-03 -6.26e-02 1.033 4.37e-04 0.01999
## 109 -6.72e-02 6.48e-03 -1.68e-01 1.012 3.14e-03 0.01897
## 110 1.83e-02 1.80e-02 -5.53e-02 1.023 3.40e-04 0.01127
## 111 4.61e-03 -5.39e-03 -2.10e-02 1.030 4.91e-05 0.01440
## 112 2.79e-02 -6.71e-03 -5.56e-02 1.026 3.44e-04 0.01393
## 113 -1.61e-02 -7.55e-03 3.47e-02 1.036 1.34e-04 0.02044
## 114 2.11e-03 -1.26e-02 -4.87e-02 1.027 2.64e-04 0.01383
## 115 1.93e-02 3.43e-02 -5.19e-02 1.021 3.00e-04 0.00967
## 116 -2.04e-02 5.48e-02 -7.75e-02 1.039 6.68e-04 0.02642
## 117 -8.64e-02 2.60e-02 -1.47e-01 1.011 2.40e-03 0.01592
## 118 -1.84e-02 3.94e-02 -5.87e-02 1.031 3.84e-04 0.01821
## 119 -2.48e-04 -1.49e-03 3.78e-03 1.032 1.59e-06 0.01622
## 120 4.83e-03 -1.58e-02 -4.39e-02 1.022 2.15e-04 0.00928
## 121 1.23e-02 -1.88e-02 -5.34e-02 1.021 3.17e-04 0.00994
## 122 2.86e-02 -3.29e-03 -5.06e-02 1.025 2.85e-04 0.01237
## 123 -3.43e-02 8.14e-03 -7.56e-02 1.010 6.35e-04 0.00705
## 124 1.98e-02 -2.53e-02 -1.53e-01 1.012 2.60e-03 0.01702
## 125 8.10e-03 6.27e-03 -1.82e-02 1.024 3.68e-05 0.00925
## 126 -1.19e-02 9.41e-04 -6.00e-02 1.028 4.01e-04 0.01605
## 127 6.72e-03 6.98e-03 -2.45e-02 1.025 6.68e-05 0.01064
## 128 -3.60e-03 3.55e-03 -8.24e-03 1.027 7.55e-06 0.01124
## 129 -6.85e-03 1.11e-02 -3.08e-02 1.027 1.05e-04 0.01208
## 130 -1.28e-02 1.48e-02 -3.71e-02 1.024 1.53e-04 0.01046
## 131 8.10e-03 -5.88e-03 -9.27e-02 1.019 9.56e-04 0.01322
## 132 -1.34e-02 -5.72e-04 -4.83e-02 1.021 2.59e-04 0.00948
## 133 1.42e-02 6.36e-03 -2.85e-02 1.028 9.02e-05 0.01348
## 134 -3.20e-02 5.48e-02 -9.81e-02 1.015 1.07e-03 0.01191
## 135 4.04e-02 -2.81e-02 -8.44e-02 1.013 7.92e-04 0.00906
## 136 4.24e-02 -3.51e-03 -1.01e-01 1.016 1.14e-03 0.01260
## 137 1.96e-02 7.98e-03 -3.68e-02 1.027 1.50e-04 0.01305
## 138 6.72e-03 1.24e-02 -1.07e-01 1.019 1.26e-03 0.01499
## 139 -7.07e-03 -1.73e-02 -3.88e-02 1.027 1.68e-04 0.01304
## 140 -3.23e-02 5.30e-02 -1.07e-01 1.022 1.27e-03 0.01693
## 141 -7.05e-03 -1.05e-02 -9.29e-02 1.018 9.59e-04 0.01269
## 142 3.83e-02 -5.88e-03 -9.01e-02 1.028 9.03e-04 0.01886
## 143 -3.95e-02 -2.35e-02 -1.06e-01 1.031 1.24e-03 0.02264
## 144 -1.84e-02 2.44e-03 -9.21e-02 1.020 9.42e-04 0.01390
## 145 -2.10e-02 4.88e-02 -9.36e-02 1.021 9.75e-04 0.01428
## 146 -1.27e-02 -4.03e-02 -9.68e-02 1.023 1.04e-03 0.01640
## 147 -2.19e-02 -2.64e-02 -5.74e-02 1.024 3.66e-04 0.01269
## 148 6.58e-03 3.67e-03 -5.90e-02 1.037 3.87e-04 0.02309
## 149 2.66e-02 -6.10e-03 -5.06e-02 1.040 2.85e-04 0.02549
## 150 -4.77e-02 -3.55e-02 -1.15e-01 1.011 1.48e-03 0.01234
## 151 -2.36e-03 -2.69e-02 -7.93e-02 1.020 6.99e-04 0.01214
## 152 -5.50e-02 4.24e-02 -9.98e-02 1.021 1.11e-03 0.01536
## 153 -1.99e-02 -4.51e-02 -9.59e-02 1.013 1.02e-03 0.01074
## 154 -2.48e-02 7.64e-03 -1.15e-01 1.012 1.48e-03 0.01248
## 155 -4.86e-02 -5.69e-02 -1.20e-01 1.019 1.60e-03 0.01625
## 156 -1.61e-02 5.27e-03 -9.52e-02 1.012 1.01e-03 0.01024
## 157 3.36e-02 1.58e-02 -1.69e-01 1.043 3.17e-03 0.03737
## 158 4.27e-03 1.91e-02 -1.23e-01 1.014 1.67e-03 0.01441
## 159 -4.18e-02 -2.72e-02 -9.39e-02 1.017 9.80e-04 0.01244
## 160 -1.51e-02 -2.67e-02 -5.18e-02 1.024 2.99e-04 0.01157
## 161 3.75e-02 -3.55e-02 -6.28e-02 1.028 4.38e-04 0.01616
## 162 3.18e-02 -3.19e-02 -5.54e-02 1.026 3.42e-04 0.01344
## 163 -1.51e-02 3.39e-04 -5.44e-02 1.027 3.30e-04 0.01414
## 164 1.49e-02 -4.09e-03 -4.66e-02 1.036 2.41e-04 0.02100
## 165 1.19e-02 -7.23e-03 -6.83e-02 1.021 5.19e-04 0.01145
## 166 2.61e-02 -3.64e-02 -1.19e-01 1.037 1.56e-03 0.02821
## 167 8.46e-02 -7.58e-03 -1.77e-01 1.030 3.47e-03 0.02970
## 168 9.58e-03 8.95e-03 -2.88e-02 1.027 9.23e-05 0.01252
## 169 -5.43e-02 1.15e-02 -8.35e-02 1.018 7.74e-04 0.01174
## 170 -5.79e-02 1.33e-02 -1.62e-01 1.053 2.91e-03 0.04445 *
## 171 3.08e-04 -1.27e-03 -3.50e-02 1.036 1.36e-04 0.02100
## 172 -7.78e-04 -7.60e-04 2.75e-03 1.027 8.42e-07 0.01149
## 173 1.88e-03 -4.26e-03 -2.69e-02 1.024 8.04e-05 0.00997
## 174 4.35e-02 -5.34e-03 -6.82e-02 1.017 5.18e-04 0.00907
## 175 1.71e-02 7.08e-03 -3.02e-02 1.028 1.02e-04 0.01349
## 176 -1.04e-02 -6.78e-02 -1.56e-01 1.025 2.71e-03 0.02426
## 177 1.82e-02 1.97e-02 -3.72e-02 1.021 1.54e-04 0.00824
## 178 5.93e-03 -8.79e-03 -9.64e-02 1.017 1.03e-03 0.01272
## 179 1.47e-02 -1.55e-02 -6.79e-02 1.023 5.13e-04 0.01293
## 180 2.55e-02 -5.21e-03 -6.74e-02 1.020 5.06e-04 0.01087
## 181 6.32e-02 -6.85e-03 -1.22e-01 1.022 1.67e-03 0.01862
## 182 -2.58e-03 -9.18e-03 -1.84e-02 1.039 3.76e-05 0.02301
## 183 4.93e-02 -4.30e-02 -8.04e-02 1.023 7.18e-04 0.01407
## 184 9.02e-04 9.34e-04 -1.88e-03 1.030 3.92e-07 0.01454
## 185 8.48e-03 -1.82e-02 -2.77e-02 1.028 8.52e-05 0.01362
## 186 1.91e-03 -7.49e-03 -2.47e-02 1.025 6.78e-05 0.01035
## 187 -8.17e-03 7.44e-03 -1.81e-02 1.025 3.63e-05 0.01010
## 188 -1.38e-02 -3.09e-02 -6.78e-02 1.023 5.11e-04 0.01261
## 189 -2.38e-02 -7.12e-03 -4.01e-02 1.021 1.79e-04 0.00839
## 190 -7.20e-02 5.11e-03 -1.76e-01 1.028 3.45e-03 0.02827
## 191 -1.53e-02 1.30e-02 -2.74e-02 1.025 8.35e-05 0.01078
## 192 9.90e-03 -1.26e-02 -5.51e-02 1.025 3.37e-04 0.01311
## 193 -4.34e-03 -2.84e-02 -5.61e-02 1.031 3.51e-04 0.01818
## 194 -2.77e-02 7.99e-03 -8.79e-02 1.018 8.59e-04 0.01195
## 195 1.14e-03 1.68e-02 -1.24e-01 1.012 1.70e-03 0.01335
## 196 -3.84e-02 -4.93e-02 -1.22e-01 1.014 1.65e-03 0.01402
## 197 -4.47e-02 1.07e-02 -9.41e-02 1.009 9.85e-04 0.00898
## 198 7.20e-03 1.08e-02 -2.95e-02 1.025 9.71e-05 0.01028
## 199 -2.39e-02 9.96e-04 -1.31e-01 1.022 1.91e-03 0.01959
## 200 3.12e-03 2.22e-03 -6.96e-03 1.027 5.40e-06 0.01135
## 201 -2.35e-03 -1.96e-03 -5.69e-03 1.034 3.60e-06 0.01769
## 202 -2.54e-02 -2.02e-02 -5.44e-02 1.028 3.29e-04 0.01533
## 203 1.07e-02 5.69e-03 -2.24e-02 1.027 5.60e-05 0.01207
## 204 -4.05e-02 4.30e-02 -9.96e-02 1.026 1.10e-03 0.01849
## 205 5.20e-02 -5.54e-02 -1.77e-01 1.008 3.47e-03 0.01824
## 206 3.62e-02 2.12e-02 -7.50e-02 1.023 6.25e-04 0.01376
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## 427 -3.46e-02 2.42e-02 -6.44e-02 1.030 4.61e-04 0.01771
## 428 4.10e-03 -1.28e-02 -4.27e-02 1.021 2.03e-04 0.00877
## 429 3.56e-02 -1.81e-03 -1.06e-01 1.021 1.24e-03 0.01580
## 430 -2.45e-02 -1.19e-02 -5.39e-02 1.015 3.24e-04 0.00630
## 431 1.15e-02 4.01e-03 -1.09e-01 1.014 1.31e-03 0.01246
## 432 9.19e-03 6.64e-03 -1.91e-02 1.024 4.07e-05 0.00946
## 433 -2.10e-02 -2.31e-02 -4.88e-02 1.020 2.65e-04 0.00895
## 434 -6.88e-04 -1.59e-04 4.74e-03 1.040 2.50e-06 0.02401
## 435 1.59e-03 -2.75e-02 -1.41e-01 1.011 2.19e-03 0.01520
## 436 1.28e-04 -1.69e-02 -5.56e-02 1.020 3.43e-04 0.00940
## 437 5.22e-03 8.53e-03 -9.02e-02 1.021 9.05e-04 0.01395
## 438 2.57e-02 -5.46e-03 -5.70e-02 1.021 3.61e-04 0.01051
## 439 -5.55e-02 -1.76e-02 -8.81e-02 1.017 8.63e-04 0.01176
## 440 -2.49e-02 -4.36e-02 -1.82e-01 1.004 3.67e-03 0.01718
## 441 1.71e-02 1.87e-03 -8.91e-02 1.015 8.83e-04 0.01079
## 442 -2.30e-02 -1.77e-02 -4.18e-02 1.023 1.95e-04 0.01033
## 443 4.68e-03 -1.66e-02 -5.20e-02 1.018 3.01e-04 0.00785
## 444 7.20e-03 1.08e-02 -2.95e-02 1.025 9.71e-05 0.01028
## 445 5.69e-03 -1.53e-02 -3.58e-02 1.025 1.43e-04 0.01111
## 446 4.18e-03 6.49e-03 -1.64e-02 1.029 3.01e-05 0.01361
## 447 9.93e-03 1.17e-02 -2.90e-02 1.023 9.33e-05 0.00896
## 448 -2.72e-02 5.19e-02 -7.14e-02 1.039 5.67e-04 0.02533
## 449 -2.56e-02 -2.52e-02 -1.37e-01 1.001 2.08e-03 0.01108
## 450 -4.28e-02 7.23e-03 -8.25e-02 1.011 7.56e-04 0.00822
## 451 1.39e-02 -2.72e-02 -7.07e-02 1.023 5.56e-04 0.01302
## 452 9.75e-02 -1.12e-01 2.14e-01 0.965 5.05e-03 0.01104
## 453 -5.75e-02 1.01e-01 2.67e-01 0.959 7.86e-03 0.01485
## 454 4.04e-02 -1.23e-02 1.78e-01 1.005 3.50e-03 0.01701
## 455 -7.75e-02 3.59e-02 1.45e-01 1.001 2.32e-03 0.01184
## 456 1.17e-01 -9.35e-02 2.57e-01 0.946 7.28e-03 0.01197 *
## 457 -2.76e-02 1.25e-01 2.53e-01 0.966 7.08e-03 0.01474
## 458 7.06e-02 -1.49e-02 1.58e-01 1.007 2.77e-03 0.01542
## 459 -3.23e-02 -8.86e-02 1.85e-01 0.967 3.79e-03 0.00891
## 460 4.84e-02 -4.38e-03 1.46e-01 0.997 2.35e-03 0.01101
## 461 -1.11e-02 -1.15e-02 1.72e-01 1.005 3.27e-03 0.01647
## 462 -4.50e-02 -3.86e-03 1.51e-01 0.998 2.52e-03 0.01168
## 463 -3.52e-02 -2.38e-02 2.20e-01 0.981 5.35e-03 0.01475
## 464 -3.23e-02 -1.10e-03 2.77e-01 1.019 8.49e-03 0.03521
## 465 1.37e-02 2.07e-02 1.35e-01 1.010 2.01e-03 0.01388
## 466 4.50e-03 -2.48e-02 1.57e-01 1.010 2.73e-03 0.01652
## 467 7.23e-02 -1.03e-01 2.23e-01 0.978 5.50e-03 0.01433
## 468 1.55e-02 3.71e-02 1.30e-01 0.997 1.88e-03 0.00928
## 469 -1.06e-01 -1.04e-01 2.15e-01 0.949 5.12e-03 0.00914 *
## 470 8.78e-02 -5.78e-03 1.98e-01 0.966 4.35e-03 0.00995
## 471 -1.04e-01 2.12e-02 2.98e-01 0.949 9.77e-03 0.01578 *
## 472 -1.30e-01 1.21e-01 2.03e-01 0.973 4.58e-03 0.01148
## 473 -2.13e-02 5.98e-02 2.37e-01 0.960 6.20e-03 0.01230
## 474 4.89e-02 1.21e-01 1.93e-01 0.972 4.11e-03 0.01040
## 475 -8.76e-02 7.42e-02 2.19e-01 1.002 5.30e-03 0.02093
## 476 -1.02e-01 1.61e-02 1.71e-01 0.971 3.23e-03 0.00825
## 477 -8.25e-02 6.76e-02 2.82e-01 1.007 8.82e-03 0.03014
## 478 5.48e-02 -8.06e-02 1.96e-01 1.001 4.26e-03 0.01789
## 479 4.25e-02 -1.23e-01 2.42e-01 0.962 6.47e-03 0.01304
## 480 -1.49e-02 4.20e-02 1.57e-01 0.984 2.72e-03 0.00903
## 481 -1.59e-02 2.57e-02 1.76e-01 0.966 3.42e-03 0.00799
## 482 1.03e-02 6.58e-02 1.60e-01 1.012 2.85e-03 0.01779
## 483 -5.95e-02 -8.81e-02 3.26e-01 0.939 1.17e-02 0.01658 *
## 484 -4.88e-02 2.90e-02 2.78e-01 0.962 8.53e-03 0.01638
## 485 -1.25e-01 9.49e-02 1.90e-01 0.982 4.00e-03 0.01203
## 486 3.73e-02 -6.05e-03 1.56e-01 1.000 2.71e-03 0.01292
## 487 -8.58e-02 -1.25e-01 2.40e-01 1.007 6.36e-03 0.02536
## 488 -9.28e-02 6.67e-02 1.89e-01 0.975 3.94e-03 0.01040
## 489 1.08e-02 1.55e-03 2.05e-01 0.990 4.64e-03 0.01529
## 490 1.14e-03 -1.73e-02 1.98e-01 1.008 4.34e-03 0.02068
## 491 7.80e-03 -2.62e-03 1.80e-01 1.000 3.59e-03 0.01566
## 492 6.06e-02 -8.89e-04 1.85e-01 0.981 3.78e-03 0.01132
## 493 -6.55e-03 -1.17e-01 2.20e-01 0.967 5.34e-03 0.01187
## 494 2.57e-02 3.16e-02 1.27e-01 1.019 1.80e-03 0.01747
## 495 5.90e-02 1.04e-01 1.86e-01 0.965 3.84e-03 0.00871
## 496 4.95e-02 7.32e-03 2.13e-01 0.963 5.02e-03 0.01070
## 497 -5.89e-03 -2.47e-02 1.95e-01 1.010 4.22e-03 0.02116
## 498 1.57e-01 -1.43e-01 2.35e-01 0.971 6.08e-03 0.01395
## 499 -1.30e-01 1.03e-01 2.27e-01 0.952 5.71e-03 0.01036 *
## 500 1.15e-01 1.37e-01 3.30e-01 0.973 1.21e-02 0.02421
## 501 7.03e-02 -7.99e-03 2.05e-01 0.966 4.65e-03 0.01053
## 502 5.07e-02 -1.35e-02 1.63e-01 1.000 2.94e-03 0.01369
## 503 4.80e-02 8.37e-02 1.68e-01 0.991 3.14e-03 0.01172
## 504 1.48e-01 -1.31e-01 2.54e-01 0.968 7.14e-03 0.01526
## 505 -6.72e-02 -2.48e-02 3.20e-01 0.976 1.13e-02 0.02389
## 506 1.39e-01 -1.32e-01 2.22e-01 0.984 5.46e-03 0.01570
## 507 -1.67e-02 1.88e-02 2.02e-01 0.975 4.50e-03 0.01166
## 508 4.62e-02 8.42e-02 2.25e-01 0.985 5.59e-03 0.01613
## 509 3.66e-02 2.11e-02 1.44e-01 1.021 2.30e-03 0.02049
## 510 1.04e-01 -8.48e-02 2.07e-01 1.015 4.75e-03 0.02500
## 511 4.36e-02 8.91e-02 1.74e-01 0.984 3.36e-03 0.01076
## 512 3.14e-02 -4.92e-03 1.65e-01 0.980 3.03e-03 0.00919
## 513 -1.42e-01 2.32e-02 3.18e-01 1.001 1.12e-02 0.03172
## 514 -1.22e-01 9.44e-02 2.24e-01 0.999 5.57e-03 0.02033
## 515 7.39e-02 7.10e-02 1.74e-01 0.992 3.35e-03 0.01252
## 516 1.45e-01 2.84e-02 2.50e-01 0.973 6.90e-03 0.01599
## 517 5.23e-02 -9.97e-03 2.79e-01 1.001 8.65e-03 0.02745
## 518 -7.14e-02 6.36e-03 1.71e-01 0.996 3.26e-03 0.01353
## 519 3.90e-02 2.12e-02 1.33e-01 1.003 1.96e-03 0.01125
## 520 2.70e-02 -8.94e-03 1.26e-01 1.018 1.77e-03 0.01658
## 521 -9.81e-02 1.62e-02 2.50e-01 0.973 6.91e-03 0.01599
## 522 -9.11e-02 7.03e-02 1.53e-01 0.988 2.60e-03 0.00955
## 523 7.69e-02 3.48e-02 1.75e-01 1.011 3.40e-03 0.01911
## 524 2.18e-01 -1.73e-01 3.31e-01 0.961 1.21e-02 0.02119
## 525 4.42e-02 6.26e-02 1.43e-01 0.982 2.26e-03 0.00752
## 526 -8.18e-02 1.39e-02 2.23e-01 0.996 5.50e-03 0.01915
## 527 -9.66e-03 -2.75e-02 1.89e-01 1.003 3.98e-03 0.01791
## 528 -7.69e-02 -1.26e-01 2.22e-01 0.968 5.47e-03 0.01227
## 529 -1.08e-01 7.73e-02 1.60e-01 0.983 2.83e-03 0.00929
## 530 1.16e-01 1.01e-01 2.73e-01 0.980 8.21e-03 0.01983
## 531 -1.69e-02 -2.59e-02 1.84e-01 0.995 3.77e-03 0.01446
## 532 8.77e-02 3.36e-02 1.62e-01 0.983 2.89e-03 0.00938
## 533 -2.13e-03 8.04e-02 2.09e-01 1.003 4.85e-03 0.02017
## 534 -9.55e-02 9.77e-02 1.75e-01 0.991 3.39e-03 0.01247
## 535 -5.78e-02 2.94e-03 1.39e-01 0.987 2.16e-03 0.00797
## 536 5.23e-02 4.53e-02 2.71e-01 0.973 8.10e-03 0.01805
## 537 1.37e-02 2.07e-02 1.35e-01 1.010 2.01e-03 0.01388
## 538 -3.50e-02 4.93e-02 1.47e-01 0.999 2.41e-03 0.01175
## 539 -5.44e-03 3.79e-02 1.96e-01 0.993 4.25e-03 0.01516
## 540 9.77e-02 2.33e-02 1.59e-01 0.990 2.81e-03 0.01053
## 541 -5.56e-03 9.46e-02 2.13e-01 0.994 5.04e-03 0.01739
## 542 -7.33e-02 6.06e-03 1.75e-01 0.992 3.39e-03 0.01260
## 543 -2.63e-02 -1.32e-01 2.26e-01 0.983 5.65e-03 0.01589
## 544 2.56e-02 8.56e-02 2.11e-01 0.962 4.92e-03 0.01033
## 545 2.17e-02 6.00e-02 1.51e-01 1.009 2.53e-03 0.01547
## 546 -1.12e-01 1.52e-01 3.12e-01 0.980 1.07e-02 0.02401
## 547 -3.22e-02 -1.26e-01 2.05e-01 1.035 4.65e-03 0.03605
## 548 -1.64e-03 -1.99e-02 1.71e-01 1.008 3.25e-03 0.01768
## 549 4.60e-02 -1.29e-02 1.58e-01 0.986 2.77e-03 0.00965
## 550 7.69e-02 -1.32e-01 1.94e-01 1.017 4.19e-03 0.02440
## 551 2.32e-02 -2.11e-02 1.83e-01 1.030 3.72e-03 0.03001
## 552 3.98e-02 -1.33e-02 3.99e-01 0.957 1.75e-02 0.02710 *
## 553 2.06e-02 -1.95e-03 1.79e-01 0.976 3.56e-03 0.00971
## 554 -9.19e-02 1.49e-02 1.58e-01 0.999 2.76e-03 0.01295
## 555 4.80e-02 -7.08e-03 1.26e-01 0.999 1.76e-03 0.00924
## 556 5.93e-02 -1.89e-02 1.74e-01 1.003 3.37e-03 0.01587
## 557 3.88e-02 2.79e-02 1.61e-01 1.000 2.87e-03 0.01337
## 558 7.37e-02 -1.02e-02 1.51e-01 0.996 2.52e-03 0.01131
## 559 -2.86e-02 9.93e-04 1.36e-01 1.026 2.04e-03 0.02264
## 560 4.31e-02 2.94e-02 1.18e-01 0.992 1.56e-03 0.00703
## 561 4.01e-02 -1.75e-02 1.46e-01 1.020 2.37e-03 0.02010
## 562 -1.17e-01 -7.09e-02 2.33e-01 0.953 5.98e-03 0.01097 *
## 563 -8.31e-02 5.70e-03 1.62e-01 1.007 2.92e-03 0.01605
## 564 6.78e-02 -1.10e-02 1.45e-01 0.996 2.34e-03 0.01062
## 565 -7.41e-02 -9.47e-02 2.41e-01 0.959 6.42e-03 0.01257
## 566 -2.56e-04 2.95e-02 2.25e-01 0.961 5.61e-03 0.01153
## 567 -2.95e-02 6.55e-02 1.97e-01 0.988 4.29e-03 0.01393
## 568 7.07e-02 -1.82e-01 4.76e-01 0.943 2.49e-02 0.03147 *
## 569 -7.42e-02 1.09e-01 2.26e-01 0.976 5.65e-03 0.01418
## 570 -8.82e-02 1.77e-02 1.74e-01 0.994 3.35e-03 0.01325
## 571 -3.62e-02 -7.95e-02 2.03e-01 1.025 4.56e-03 0.02952
## 572 -4.05e-02 1.51e-01 2.75e-01 0.973 8.34e-03 0.01839
## 573 -8.98e-02 6.70e-03 2.35e-01 0.982 6.09e-03 0.01644
## 574 -3.03e-02 -1.12e-01 2.34e-01 0.974 6.03e-03 0.01445
## 575 2.24e-02 1.13e-01 2.04e-01 0.967 4.59e-03 0.01043
## 576 -1.05e-01 1.05e-01 2.25e-01 1.005 5.63e-03 0.02286
## 577 -9.01e-02 1.32e-02 1.65e-01 0.987 3.01e-03 0.01046
## 578 8.69e-02 5.80e-02 1.53e-01 0.967 2.58e-03 0.00638
## 579 8.16e-02 -1.53e-01 2.27e-01 1.023 5.70e-03 0.03130
## 580 4.73e-02 -4.22e-03 1.28e-01 0.994 1.81e-03 0.00824
## 581 4.64e-02 7.58e-02 1.68e-01 0.993 3.12e-03 0.01214
## 582 2.06e-02 -2.93e-03 1.64e-01 0.999 2.97e-03 0.01343
## 583 3.93e-02 -6.79e-03 1.57e-01 0.992 2.72e-03 0.01082
## 584 1.46e-01 -1.02e-01 2.44e-01 0.995 6.61e-03 0.02138
## 585 3.28e-03 7.11e-02 1.93e-01 1.003 4.14e-03 0.01833
## 586 6.13e-02 -7.21e-03 2.77e-01 0.982 8.47e-03 0.02091
## 587 -1.36e-01 2.66e-02 3.12e-01 0.989 1.08e-02 0.02693
## 588 7.27e-02 -2.01e-01 3.19e-01 0.997 1.13e-02 0.03055
## 589 -5.31e-02 -4.84e-04 1.73e-01 0.981 3.31e-03 0.01015
## 590 -1.78e-02 -1.16e-02 1.36e-01 1.007 2.06e-03 0.01319
## 591 -2.96e-02 3.34e-02 2.07e-01 0.996 4.76e-03 0.01757
## 592 2.93e-02 -8.26e-03 1.21e-01 1.005 1.64e-03 0.01057
## 593 -3.43e-02 -7.50e-03 1.38e-01 1.005 2.12e-03 0.01249
## 594 6.32e-02 5.14e-02 1.35e-01 0.987 2.02e-03 0.00771
## 595 9.58e-02 1.92e-02 1.56e-01 0.986 2.71e-03 0.00956
## 596 5.85e-02 -1.92e-02 1.43e-01 1.001 2.27e-03 0.01178
## 597 1.55e-01 9.79e-02 3.05e-01 0.991 1.03e-02 0.02681
## 598 -9.53e-02 5.18e-02 1.54e-01 0.985 2.64e-03 0.00912
## 599 5.79e-02 4.54e-02 1.74e-01 0.981 3.36e-03 0.01031
## 600 3.59e-02 3.50e-02 1.53e-01 1.014 2.60e-03 0.01803
## 601 1.30e-02 -2.26e-02 2.35e-01 0.979 6.11e-03 0.01581
influenceIndexPlot(Model1)
influencePlot(Model1)
## StudRes Hat CookD
## 238 0.01004368 0.04506745 5.298675e-07
## 405 -0.85580005 0.06437074 5.601227e-03
## 483 2.50863529 0.01658269 1.168648e-02
## 552 2.39058635 0.02710278 1.754964e-02
## 568 2.64116689 0.03146941 2.493232e-02
Model2 <- glm(CPaffairs~age+yearsmarried+religiousness+education+occupation+rating+CPgender+CPchildren,data=Data[-c(238,405,483,552,568),])
summary(Model2)
##
## Call:
## glm(formula = CPaffairs ~ age + yearsmarried + religiousness +
## education + occupation + rating + CPgender + CPchildren,
## data = Data[-c(238, 405, 483, 552, 568), ])
##
## Deviance Residuals:
## Min 1Q Median 3Q Max
## -0.6600 -0.2675 -0.1549 0.1008 0.9839
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 0.803019 0.151963 5.284 1.78e-07 ***
## age -0.008822 0.003054 -2.888 0.00402 **
## yearsmarried 0.017612 0.005447 3.234 0.00129 **
## religiousness -0.059194 0.014779 -4.005 6.99e-05 ***
## education 0.002319 0.008649 0.268 0.78871
## occupation 0.006995 0.011778 0.594 0.55282
## rating -0.092797 0.015915 -5.831 9.12e-09 ***
## CPgender 0.045788 0.039724 1.153 0.24952
## CPchildren 0.063007 0.046613 1.352 0.17699
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## (Dispersion parameter for gaussian family taken to be 0.1656308)
##
## Null deviance: 110.743 on 595 degrees of freedom
## Residual deviance: 97.225 on 587 degrees of freedom
## AIC: 630.7
##
## Number of Fisher Scoring iterations: 2
#Identification for Not performed Column
vif(Model1)
## age yearsmarried religiousness education occupation
## 2.765906 3.305214 1.066159 1.487782 1.638609
## rating CPgender CPchildren
## 1.098187 1.413445 1.566860
avPlots(Model1)
FinalModel <- glm(CPaffairs~age+yearsmarried+religiousness+rating,data=Data[-c(238,405,483,552,568),])
summary(FinalModel)
##
## Call:
## glm(formula = CPaffairs ~ age + yearsmarried + religiousness +
## rating, data = Data[-c(238, 405, 483, 552, 568), ])
##
## Deviance Residuals:
## Min 1Q Median 3Q Max
## -0.6810 -0.2674 -0.1486 0.0630 0.9828
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 0.879554 0.104375 8.427 2.71e-16 ***
## age -0.007213 0.002929 -2.463 0.014081 *
## yearsmarried 0.018756 0.004889 3.837 0.000138 ***
## religiousness -0.059833 0.014757 -4.054 5.70e-05 ***
## rating -0.093330 0.015738 -5.930 5.15e-09 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## (Dispersion parameter for gaussian family taken to be 0.1661143)
##
## Null deviance: 110.743 on 595 degrees of freedom
## Residual deviance: 98.174 on 591 degrees of freedom
## AIC: 628.49
##
## Number of Fisher Scoring iterations: 2
# Confusion Matrx
prob <- predict(FinalModel,type = c("response"),Data)
prob<-as.data.frame(prob)
final <- cbind(prob,Data)
confusion <- table(prob > 0.5,Data$CPaffairs)
table(prob > 0.5)
##
## FALSE TRUE
## 569 32
#Testing for Accuracy
Accuracy <- sum(diag(confusion)/sum(confusion))
Accuracy
## [1] 0.7603993
# Finally This Model Accuracy Level is 76%
library(ROCR)
## Warning: package 'ROCR' was built under R version 3.5.1
## Loading required package: gplots
## Warning: package 'gplots' was built under R version 3.5.1
##
## Attaching package: 'gplots'
## The following object is masked from 'package:stats':
##
## lowess
rocrpred<-prediction(prob,Data$CPaffairs)
rocrperf<-performance(rocrpred,'tpr','fpr')
plot(rocrperf,colorize=T,text.adj=c(-0.2,1.7))
library(MASS)
stepAIC(Model1)
## Start: AIC=651.09
## CPaffairs ~ age + yearsmarried + religiousness + education +
## occupation + rating + CPgender + CPchildren
##
## Df Deviance AIC
## - education 1 100.59 649.23
## - occupation 1 100.61 649.35
## - CPgender 1 100.78 650.39
## - CPchildren 1 100.80 650.48
## <none> 100.56 651.09
## - age 1 101.59 655.22
## - yearsmarried 1 102.00 657.63
## - religiousness 1 102.78 662.17
## - rating 1 105.65 678.74
##
## Step: AIC=649.23
## CPaffairs ~ age + yearsmarried + religiousness + occupation +
## rating + CPgender + CPchildren
##
## Df Deviance AIC
## - occupation 1 100.67 647.75
## - CPchildren 1 100.82 648.64
## - CPgender 1 100.84 648.73
## <none> 100.59 649.23
## - age 1 101.61 653.30
## - yearsmarried 1 102.03 655.76
## - religiousness 1 102.83 660.46
## - rating 1 105.68 676.90
##
## Step: AIC=647.75
## CPaffairs ~ age + yearsmarried + religiousness + rating + CPgender +
## CPchildren
##
## Df Deviance AIC
## - CPchildren 1 100.86 646.89
## <none> 100.67 647.75
## - CPgender 1 101.18 648.78
## - age 1 101.65 651.54
## - yearsmarried 1 102.14 654.46
## - religiousness 1 102.98 659.36
## - rating 1 105.73 675.21
##
## Step: AIC=646.89
## CPaffairs ~ age + yearsmarried + religiousness + rating + CPgender
##
## Df Deviance AIC
## <none> 100.86 646.89
## - CPgender 1 101.43 648.24
## - age 1 101.90 651.05
## - religiousness 1 103.15 658.37
## - yearsmarried 1 103.24 658.87
## - rating 1 106.10 675.30
##
## Call: glm(formula = CPaffairs ~ age + yearsmarried + religiousness +
## rating + CPgender)
##
## Coefficients:
## (Intercept) age yearsmarried religiousness rating
## 0.821582 -0.007397 0.018596 -0.054425 -0.087599
## CPgender
## 0.063607
##
## Degrees of Freedom: 600 Total (i.e. Null); 595 Residual
## Null Deviance: 112.6
## Residual Deviance: 100.9 AIC: 646.9