Cross-validation

library(pROC)
## Warning: package 'pROC' was built under R version 3.5.2
## Type 'citation("pROC")' for a citation.
## 
## Attaching package: 'pROC'
## The following objects are masked from 'package:stats':
## 
##     cov, smooth, var

Load sample daat

load('../../../1_1Stats/STAT435-VDVdata.RData')
tr = sample(nrow(vdv.clin), round(2/3*nrow(vdv.clin)))
trDat = vdv.clin[tr,]
tsDat = vdv.clin[-tr,]

Use signature genes

gDat<-data.frame(t(vdv.genes[sample(nrow(vdv.genes), 100),]))
gDat$RFS.event = vdv.clin$RFS.event
tr.gDat = gDat[tr,]
ts.gDat = gDat[-tr,]

Make the formula

f = as.formula(paste("RFS.event ~",paste(names(tr.gDat)[-ncol(tr.gDat)], collapse=' + ')))

Fitting the model

stepFit = glm(RFS.event ~ 1, family='binomial', data=tr.gDat)
stepFit = step(stepFit, scope=f)
## Start:  AIC=265.64
## RFS.event ~ 1
## 
##            Df Deviance    AIC
## + NEK2      1   244.27 248.27
## + ACADSB    1   249.65 253.65
## + PPIA      1   252.11 256.11
## + APRT      1   252.38 256.38
## + SLC19A1   1   252.42 256.42
## + SLC22A4   1   252.71 256.71
## + RPS6      1   253.10 257.10
## + ABCD3     1   253.97 257.96
## + LDHA      1   254.09 258.09
## + PECI      1   255.68 259.68
## + RFC5      1   257.06 261.06
## + EWSR1     1   257.07 261.07
## + DUT       1   257.54 261.54
## + ACTR3     1   258.50 262.50
## + CLK3      1   258.53 262.53
## + HDAC6     1   259.01 263.01
## + IRF3      1   259.27 263.27
## + CACNG2    1   259.37 263.37
## + AGL       1   259.69 263.69
## + CR1       1   259.88 263.88
## + SLC6A14   1   260.09 264.09
## + VPS35     1   260.24 264.24
## + HOXB5     1   260.26 264.26
## + RPS11     1   260.41 264.41
## + RPS20     1   260.50 264.50
## + FPR1      1   260.97 264.97
## + MPP3      1   261.15 265.15
## + CACNA1C   1   261.36 265.36
## + SHC3      1   261.57 265.57
## + CDC42BPB  1   261.63 265.63
## <none>          263.64 265.64
## + KLRB1     1   261.77 265.77
## + PROX1     1   261.78 265.78
## + FH        1   261.83 265.83
## + CKB       1   261.85 265.85
## + DRD4      1   261.96 265.96
## + FCER1G    1   261.97 265.97
## + ZNF202    1   262.00 266.00
## + CHST2     1   262.17 266.17
## + SLC26A4   1   262.25 266.25
## + DLG2      1   262.35 266.35
## + ADD2      1   262.40 266.40
## + B4GALT2   1   262.40 266.40
## + CLDN14    1   262.49 266.49
## + BID       1   262.52 266.52
## + CYP39A1   1   262.58 266.58
## + MMD       1   262.60 266.60
## + AXIN1     1   262.63 266.63
## + HSD3B1    1   262.66 266.66
## + GATA4     1   262.67 266.67
## + ACYP1     1   262.70 266.70
## + TGM3      1   262.77 266.77
## + ATP12A    1   262.80 266.80
## + FBXW2     1   262.82 266.82
## + PBX1      1   262.85 266.85
## + TLR1      1   262.87 266.87
## + GOT2      1   262.87 266.87
## + SLC6A5    1   262.91 266.91
## + CDS1      1   262.93 266.93
## + JAK3      1   262.96 266.96
## + FGF6      1   263.00 267.00
## + KIR2DS3   1   263.06 267.06
## + MGAM      1   263.07 267.07
## + TMEM2     1   263.11 267.11
## + IFNA5     1   263.12 267.12
## + UCP1      1   263.14 267.14
## + DOM3Z     1   263.14 267.14
## + HOXC10    1   263.16 267.16
## + RAB7L1    1   263.18 267.18
## + PDE7A     1   263.23 267.23
## + GGA1      1   263.23 267.23
## + NAP1L4    1   263.23 267.23
## + ADCY8     1   263.27 267.27
## + TMOD2     1   263.30 267.30
## + CRK       1   263.33 267.33
## + CA11      1   263.36 267.36
## + CRYBA1    1   263.39 267.39
## + ADD1      1   263.40 267.40
## + TIA1      1   263.44 267.44
## + HNRPDL    1   263.48 267.48
## + LARGE     1   263.50 267.50
## + NUP98     1   263.53 267.53
## + TGFBR2    1   263.54 267.54
## + SPAG6     1   263.54 267.54
## + STAT3     1   263.57 267.57
## + ESR2      1   263.57 267.57
## + NOL4      1   263.58 267.58
## + CLIC2     1   263.58 267.58
## + PMAIP1    1   263.59 267.59
## + ACADL     1   263.59 267.59
## + BNIP2     1   263.60 267.60
## + SRI       1   263.60 267.60
## + SRD5A2    1   263.61 267.61
## + TFDP2     1   263.61 267.61
## + MAP7      1   263.62 267.62
## + GJA5      1   263.62 267.62
## + CAMK2B    1   263.63 267.63
## + MME       1   263.64 267.64
## + TNFRSF9   1   263.64 267.64
## + OAZ3      1   263.64 267.64
## + CD209     1   263.64 267.64
## 
## Step:  AIC=248.27
## RFS.event ~ NEK2
## 
##            Df Deviance    AIC
## + ABCD3     1   235.46 241.46
## + DRD4      1   235.72 241.72
## + SLC22A4   1   235.85 241.85
## + ACADSB    1   236.46 242.46
## + CLK3      1   237.43 243.43
## + MPP3      1   238.09 244.09
## + RPS6      1   238.22 244.22
## + PPIA      1   238.55 244.55
## + SLC19A1   1   238.71 244.71
## + APRT      1   239.53 245.53
## + HDAC6     1   239.58 245.58
## + ZNF202    1   239.90 245.90
## + CKB       1   240.24 246.24
## + CACNG2    1   240.63 246.63
## + CR1       1   240.69 246.69
## + IRF3      1   240.90 246.90
## + LDHA      1   240.97 246.97
## + ADD1      1   241.21 247.21
## + CLDN14    1   241.27 247.27
## + CACNA1C   1   241.27 247.27
## + TMEM2     1   241.53 247.53
## + GATA4     1   241.75 247.75
## + SLC6A5    1   241.77 247.77
## + AGL       1   241.86 247.86
## + DLG2      1   241.94 247.94
## + PDE7A     1   242.00 248.00
## + ADD2      1   242.15 248.15
## + TGM3      1   242.16 248.16
## + PECI      1   242.17 248.17
## <none>          244.27 248.27
## + RPS20     1   242.33 248.33
## + FPR1      1   242.44 248.44
## + HSD3B1    1   242.47 248.47
## + ACYP1     1   242.62 248.62
## + CYP39A1   1   242.79 248.79
## + HOXB5     1   242.82 248.82
## + GGA1      1   242.85 248.85
## + HOXC10    1   242.92 248.92
## + SHC3      1   242.94 248.94
## + PMAIP1    1   242.95 248.95
## + SLC6A14   1   243.00 249.00
## + DUT       1   243.00 249.00
## + BNIP2     1   243.00 249.00
## + VPS35     1   243.11 249.11
## + HNRPDL    1   243.12 249.12
## + CDS1      1   243.13 249.13
## + ADCY8     1   243.18 249.18
## + CRYBA1    1   243.18 249.18
## + EWSR1     1   243.22 249.22
## + RFC5      1   243.37 249.37
## + TMOD2     1   243.38 249.38
## + NOL4      1   243.45 249.45
## + IFNA5     1   243.53 249.53
## + KLRB1     1   243.56 249.56
## + TIA1      1   243.59 249.59
## + PROX1     1   243.60 249.60
## + PBX1      1   243.64 249.64
## + B4GALT2   1   243.64 249.64
## + FH        1   243.65 249.65
## + RPS11     1   243.65 249.65
## + CDC42BPB  1   243.67 249.67
## + JAK3      1   243.73 249.73
## + TFDP2     1   243.77 249.77
## + ACTR3     1   243.78 249.78
## + MMD       1   243.78 249.78
## + GJA5      1   243.81 249.81
## + LARGE     1   243.83 249.83
## + FCER1G    1   243.86 249.86
## + NUP98     1   243.88 249.88
## + ATP12A    1   243.88 249.88
## + SRI       1   243.93 249.93
## + SLC26A4   1   243.96 249.96
## + STAT3     1   243.99 249.99
## + CRK       1   244.01 250.01
## + FBXW2     1   244.03 250.03
## + NAP1L4    1   244.04 250.04
## + MME       1   244.06 250.06
## + CA11      1   244.07 250.07
## + CLIC2     1   244.08 250.08
## + CHST2     1   244.12 250.12
## + MGAM      1   244.12 250.12
## + BID       1   244.14 250.14
## + MAP7      1   244.15 250.15
## + AXIN1     1   244.15 250.15
## + ACADL     1   244.16 250.16
## + ESR2      1   244.17 250.17
## + RAB7L1    1   244.18 250.18
## + GOT2      1   244.18 250.18
## + CAMK2B    1   244.19 250.19
## + DOM3Z     1   244.21 250.21
## + KIR2DS3   1   244.24 250.24
## + TLR1      1   244.25 250.25
## + CD209     1   244.25 250.25
## + UCP1      1   244.25 250.25
## + SRD5A2    1   244.25 250.25
## + FGF6      1   244.25 250.25
## + SPAG6     1   244.26 250.26
## + OAZ3      1   244.26 250.26
## + TNFRSF9   1   244.26 250.26
## + TGFBR2    1   244.27 250.27
## - NEK2      1   263.64 265.64
## 
## Step:  AIC=241.46
## RFS.event ~ NEK2 + ABCD3
## 
##            Df Deviance    AIC
## + MPP3      1   228.22 236.22
## + HDAC6     1   228.76 236.76
## + SLC22A4   1   228.93 236.93
## + RPS6      1   229.61 237.61
## + DRD4      1   229.88 237.88
## + CLK3      1   229.96 237.96
## + ADD1      1   230.72 238.72
## + DUT       1   230.87 238.87
## + CKB       1   231.53 239.53
## + PPIA      1   231.62 239.62
## + CACNG2    1   231.72 239.72
## + CACNA1C   1   231.96 239.96
## + SLC19A1   1   232.08 240.08
## + LDHA      1   232.26 240.26
## + RPS20     1   232.26 240.26
## + HOXB5     1   232.27 240.27
## + TMEM2     1   232.37 240.37
## + ZNF202    1   232.60 240.60
## + IRF3      1   232.62 240.62
## + DLG2      1   232.65 240.65
## + ACADSB    1   232.85 240.85
## + CR1       1   233.02 241.02
## + APRT      1   233.05 241.05
## + HSD3B1    1   233.19 241.19
## <none>          235.46 241.46
## + CYP39A1   1   233.66 241.66
## + CRYBA1    1   233.88 241.88
## + GJA5      1   233.89 241.89
## + SLC6A5    1   233.94 241.94
## + VPS35     1   234.00 242.00
## + NAP1L4    1   234.03 242.03
## + EWSR1     1   234.13 242.13
## + FH        1   234.13 242.13
## + KLRB1     1   234.18 242.18
## + PDE7A     1   234.24 242.24
## + MMD       1   234.25 242.25
## + RFC5      1   234.35 242.35
## + ATP12A    1   234.36 242.36
## + NOL4      1   234.42 242.42
## + B4GALT2   1   234.50 242.50
## + TNFRSF9   1   234.54 242.54
## + TLR1      1   234.55 242.55
## + GOT2      1   234.59 242.59
## + CDC42BPB  1   234.62 242.62
## + PMAIP1    1   234.70 242.70
## + PROX1     1   234.75 242.75
## + SHC3      1   234.78 242.78
## + TIA1      1   234.80 242.80
## + HNRPDL    1   234.91 242.91
## + TMOD2     1   234.91 242.91
## + ADD2      1   234.95 242.95
## + ACYP1     1   234.95 242.95
## + PECI      1   234.98 242.98
## + FBXW2     1   234.98 242.98
## + GATA4     1   235.00 243.00
## + SLC6A14   1   235.02 243.02
## + CLDN14    1   235.03 243.03
## + RPS11     1   235.06 243.06
## + LARGE     1   235.12 243.12
## + ESR2      1   235.13 243.13
## + MGAM      1   235.16 243.16
## + HOXC10    1   235.18 243.18
## + BNIP2     1   235.19 243.19
## + SLC26A4   1   235.22 243.22
## + AXIN1     1   235.24 243.24
## + GGA1      1   235.25 243.25
## + FGF6      1   235.25 243.25
## + NUP98     1   235.26 243.26
## + RAB7L1    1   235.26 243.26
## + ADCY8     1   235.26 243.26
## + MME       1   235.27 243.27
## + MAP7      1   235.27 243.27
## + KIR2DS3   1   235.32 243.32
## + CD209     1   235.33 243.33
## + TGM3      1   235.33 243.33
## + OAZ3      1   235.36 243.36
## + PBX1      1   235.37 243.37
## + CHST2     1   235.37 243.37
## + FCER1G    1   235.39 243.39
## + CAMK2B    1   235.39 243.39
## + CRK       1   235.40 243.40
## + SRD5A2    1   235.41 243.41
## + AGL       1   235.41 243.41
## + UCP1      1   235.42 243.42
## + CA11      1   235.42 243.42
## + TFDP2     1   235.43 243.43
## + CLIC2     1   235.43 243.43
## + ACTR3     1   235.44 243.44
## + TGFBR2    1   235.44 243.44
## + JAK3      1   235.44 243.44
## + DOM3Z     1   235.44 243.44
## + FPR1      1   235.45 243.45
## + SRI       1   235.45 243.45
## + BID       1   235.46 243.46
## + IFNA5     1   235.46 243.46
## + CDS1      1   235.46 243.46
## + SPAG6     1   235.46 243.46
## + ACADL     1   235.46 243.46
## + STAT3     1   235.46 243.46
## - ABCD3     1   244.27 248.27
## - NEK2      1   253.97 257.96
## 
## Step:  AIC=236.22
## RFS.event ~ NEK2 + ABCD3 + MPP3
## 
##            Df Deviance    AIC
## + CACNG2    1   221.50 231.50
## + SLC22A4   1   221.56 231.56
## + DRD4      1   221.79 231.79
## + ADD1      1   222.39 232.39
## + HOXB5     1   222.46 232.46
## + HDAC6     1   222.56 232.56
## + RPS6      1   223.00 233.00
## + PROX1     1   223.28 233.28
## + LDHA      1   223.66 233.66
## + IRF3      1   224.09 234.09
## + ZNF202    1   224.12 234.12
## + CLK3      1   224.15 234.15
## + ACADSB    1   224.21 234.21
## + TMEM2     1   224.48 234.48
## + CACNA1C   1   224.50 234.50
## + CKB       1   224.95 234.95
## + RPS20     1   225.11 235.11
## + DUT       1   225.31 235.31
## + CR1       1   225.49 235.49
## + APRT      1   225.73 235.73
## + GJA5      1   225.75 235.75
## + VPS35     1   225.85 235.85
## + PPIA      1   225.96 235.96
## + DLG2      1   226.12 236.12
## <none>          228.22 236.22
## + SLC19A1   1   226.51 236.51
## + EWSR1     1   226.52 236.52
## + CDC42BPB  1   226.67 236.67
## + MMD       1   226.84 236.84
## + ACYP1     1   226.93 236.93
## + NAP1L4    1   226.96 236.96
## + TNFRSF9   1   227.06 237.06
## + NOL4      1   227.06 237.06
## + UCP1      1   227.07 237.07
## + FH        1   227.11 237.11
## + RFC5      1   227.19 237.19
## + SPAG6     1   227.21 237.21
## + SHC3      1   227.24 237.24
## + B4GALT2   1   227.25 237.25
## + KIR2DS3   1   227.33 237.33
## + FBXW2     1   227.35 237.35
## + HNRPDL    1   227.37 237.37
## + GOT2      1   227.40 237.40
## + ATP12A    1   227.40 237.40
## + CYP39A1   1   227.42 237.42
## + PMAIP1    1   227.42 237.42
## + PDE7A     1   227.50 237.50
## + CD209     1   227.52 237.52
## + KLRB1     1   227.57 237.57
## + RPS11     1   227.57 237.57
## + SLC6A14   1   227.60 237.60
## + OAZ3      1   227.71 237.71
## + PECI      1   227.72 237.72
## + HSD3B1    1   227.73 237.73
## + CA11      1   227.76 237.76
## + MME       1   227.80 237.80
## + TGFBR2    1   227.82 237.82
## + CLDN14    1   227.83 237.83
## + ADD2      1   227.89 237.89
## + TIA1      1   227.93 237.93
## + HOXC10    1   227.94 237.94
## + SLC26A4   1   227.99 237.99
## + SRD5A2    1   228.03 238.03
## + LARGE     1   228.03 238.03
## + FGF6      1   228.05 238.05
## + ACTR3     1   228.06 238.06
## + CAMK2B    1   228.08 238.08
## + CHST2     1   228.09 238.09
## + ACADL     1   228.10 238.10
## + TLR1      1   228.10 238.10
## + JAK3      1   228.11 238.11
## + ESR2      1   228.11 238.11
## + SRI       1   228.11 238.11
## + GATA4     1   228.12 238.12
## + BID       1   228.13 238.13
## + TMOD2     1   228.13 238.13
## + DOM3Z     1   228.13 238.13
## + CRYBA1    1   228.14 238.14
## + CDS1      1   228.14 238.14
## + CRK       1   228.14 238.14
## + FPR1      1   228.16 238.16
## + AXIN1     1   228.18 238.18
## + GGA1      1   228.18 238.18
## + AGL       1   228.18 238.18
## + MAP7      1   228.18 238.18
## + TFDP2     1   228.19 238.19
## + IFNA5     1   228.19 238.19
## + RAB7L1    1   228.19 238.19
## + SLC6A5    1   228.20 238.20
## + ADCY8     1   228.21 238.21
## + BNIP2     1   228.21 238.21
## + STAT3     1   228.21 238.21
## + FCER1G    1   228.21 238.21
## + CLIC2     1   228.21 238.21
## + TGM3      1   228.22 238.22
## + NUP98     1   228.22 238.22
## + MGAM      1   228.22 238.22
## + PBX1      1   228.22 238.22
## - MPP3      1   235.46 241.46
## - ABCD3     1   238.09 244.09
## - NEK2      1   250.99 256.99
## 
## Step:  AIC=231.5
## RFS.event ~ NEK2 + ABCD3 + MPP3 + CACNG2
## 
##            Df Deviance    AIC
## + DRD4      1   215.17 227.17
## + CKB       1   215.84 227.84
## + SLC22A4   1   215.99 227.99
## + GJA5      1   216.16 228.16
## + ADD1      1   216.41 228.41
## + HOXB5     1   216.77 228.77
## + RPS6      1   216.96 228.96
## + CLK3      1   217.09 229.09
## + PROX1     1   217.35 229.35
## + HDAC6     1   217.51 229.51
## + LDHA      1   217.64 229.64
## + DUT       1   217.79 229.79
## + ZNF202    1   217.86 229.86
## + ACADSB    1   217.98 229.98
## + DLG2      1   218.23 230.23
## + TMEM2     1   218.88 230.88
## + NOL4      1   218.90 230.90
## + RPS20     1   219.33 231.33
## + CACNA1C   1   219.41 231.41
## + SLC19A1   1   219.44 231.44
## + ACYP1     1   219.45 231.45
## <none>          221.50 231.50
## + IRF3      1   219.69 231.69
## + B4GALT2   1   219.75 231.75
## + PPIA      1   219.88 231.88
## + HNRPDL    1   219.97 231.97
## + GATA4     1   220.20 232.20
## + KIR2DS3   1   220.22 232.22
## + FH        1   220.23 232.23
## + KLRB1     1   220.25 232.25
## + CR1       1   220.29 232.29
## + VPS35     1   220.30 232.30
## + APRT      1   220.30 232.30
## + RAB7L1    1   220.33 232.33
## + NAP1L4    1   220.44 232.44
## + MMD       1   220.55 232.55
## + CRYBA1    1   220.64 232.64
## + TNFRSF9   1   220.64 232.64
## + RPS11     1   220.65 232.65
## + CAMK2B    1   220.66 232.66
## + CYP39A1   1   220.69 232.69
## + TGFBR2    1   220.69 232.69
## + EWSR1     1   220.70 232.70
## + UCP1      1   220.71 232.71
## + ATP12A    1   220.71 232.71
## + SHC3      1   220.72 232.72
## + ADD2      1   220.77 232.77
## + MME       1   220.80 232.80
## + DOM3Z     1   220.89 232.89
## + PECI      1   220.90 232.90
## + TIA1      1   220.93 232.93
## + SLC6A14   1   220.94 232.94
## + NUP98     1   220.95 232.95
## + CLDN14    1   220.96 232.96
## + SPAG6     1   220.99 232.99
## + CDS1      1   221.00 233.00
## + GOT2      1   221.06 233.06
## + SLC6A5    1   221.08 233.08
## + CDC42BPB  1   221.09 233.09
## + PMAIP1    1   221.11 233.11
## + OAZ3      1   221.16 233.16
## + CD209     1   221.17 233.17
## + ADCY8     1   221.17 233.17
## + FBXW2     1   221.19 233.19
## + HSD3B1    1   221.20 233.20
## + LARGE     1   221.24 233.24
## + FPR1      1   221.26 233.26
## + HOXC10    1   221.27 233.27
## + CA11      1   221.35 233.35
## + STAT3     1   221.35 233.35
## + SLC26A4   1   221.36 233.36
## + AGL       1   221.39 233.39
## + BID       1   221.40 233.40
## + RFC5      1   221.41 233.41
## + JAK3      1   221.41 233.41
## + SRD5A2    1   221.41 233.41
## + PBX1      1   221.41 233.41
## + ESR2      1   221.43 233.43
## + TLR1      1   221.43 233.43
## + MGAM      1   221.43 233.43
## + GGA1      1   221.43 233.43
## + CHST2     1   221.44 233.44
## + ACADL     1   221.45 233.45
## + MAP7      1   221.46 233.46
## + TGM3      1   221.48 233.48
## + FCER1G    1   221.48 233.48
## + CLIC2     1   221.48 233.48
## + FGF6      1   221.49 233.49
## + BNIP2     1   221.49 233.49
## + TMOD2     1   221.49 233.49
## + ACTR3     1   221.50 233.50
## + AXIN1     1   221.50 233.50
## + CRK       1   221.50 233.50
## + PDE7A     1   221.50 233.50
## + TFDP2     1   221.50 233.50
## + IFNA5     1   221.50 233.50
## + SRI       1   221.50 233.50
## - CACNG2    1   228.22 236.22
## - MPP3      1   231.72 239.72
## - ABCD3     1   232.14 240.14
## - NEK2      1   244.01 252.01
## 
## Step:  AIC=227.17
## RFS.event ~ NEK2 + ABCD3 + MPP3 + CACNG2 + DRD4
## 
##            Df Deviance    AIC
## + GJA5      1   207.68 221.68
## + DUT       1   209.50 223.50
## + CKB       1   209.64 223.64
## + HOXB5     1   210.01 224.01
## + HDAC6     1   210.57 224.57
## + ADD1      1   210.89 224.89
## + RPS6      1   210.91 224.91
## + CLK3      1   211.11 225.11
## + PROX1     1   211.41 225.41
## + SLC22A4   1   211.69 225.69
## + RPS20     1   211.88 225.88
## + LDHA      1   212.09 226.09
## + TNFRSF9   1   212.74 226.74
## + NOL4      1   212.79 226.79
## + TMEM2     1   213.07 227.07
## + DLG2      1   213.12 227.12
## + EWSR1     1   213.14 227.14
## <none>          215.17 227.17
## + CACNA1C   1   213.24 227.24
## + ACADSB    1   213.25 227.25
## + IRF3      1   213.29 227.29
## + PPIA      1   213.52 227.52
## + ACYP1     1   213.69 227.69
## + SLC19A1   1   213.90 227.90
## + APRT      1   213.97 227.97
## + RPS11     1   213.97 227.97
## + MAP7      1   214.00 228.00
## + RFC5      1   214.00 228.00
## + VPS35     1   214.02 228.02
## + NAP1L4    1   214.08 228.08
## + CRYBA1    1   214.09 228.09
## + CAMK2B    1   214.10 228.10
## + KIR2DS3   1   214.11 228.11
## + FH        1   214.15 228.15
## + KLRB1     1   214.27 228.27
## + GOT2      1   214.29 228.29
## + CYP39A1   1   214.34 228.34
## + CDC42BPB  1   214.34 228.34
## + GATA4     1   214.37 228.37
## + ZNF202    1   214.44 228.44
## + SHC3      1   214.46 228.46
## + RAB7L1    1   214.47 228.47
## + B4GALT2   1   214.49 228.49
## + CD209     1   214.51 228.51
## + CR1       1   214.51 228.51
## + ATP12A    1   214.53 228.53
## + MMD       1   214.53 228.53
## + SPAG6     1   214.54 228.54
## + UCP1      1   214.60 228.60
## + OAZ3      1   214.63 228.63
## + PECI      1   214.65 228.65
## + CHST2     1   214.67 228.67
## + TGFBR2    1   214.69 228.69
## + SLC6A14   1   214.72 228.72
## + HNRPDL    1   214.78 228.78
## + PBX1      1   214.84 228.84
## + ADD2      1   214.87 228.87
## + MME       1   214.91 228.91
## + FBXW2     1   214.93 228.93
## + SLC6A5    1   214.97 228.97
## + DOM3Z     1   214.97 228.97
## + MGAM      1   214.98 228.98
## + IFNA5     1   214.99 228.99
## + ESR2      1   215.00 229.00
## + LARGE     1   215.00 229.00
## + ACTR3     1   215.00 229.00
## + AGL       1   215.02 229.02
## + STAT3     1   215.02 229.02
## + CDS1      1   215.04 229.04
## + BNIP2     1   215.06 229.06
## + HSD3B1    1   215.07 229.07
## + NUP98     1   215.08 229.08
## + PDE7A     1   215.08 229.08
## + JAK3      1   215.11 229.11
## + TGM3      1   215.13 229.13
## + ADCY8     1   215.13 229.13
## + ACADL     1   215.13 229.13
## + PMAIP1    1   215.13 229.13
## + TIA1      1   215.13 229.13
## + AXIN1     1   215.14 229.14
## + GGA1      1   215.14 229.14
## + FPR1      1   215.14 229.14
## + TLR1      1   215.14 229.14
## + HOXC10    1   215.15 229.15
## + SLC26A4   1   215.15 229.15
## + FGF6      1   215.16 229.16
## + SRI       1   215.16 229.16
## + BID       1   215.16 229.16
## + CLIC2     1   215.16 229.16
## + CRK       1   215.16 229.16
## + CLDN14    1   215.16 229.16
## + TMOD2     1   215.17 229.17
## + SRD5A2    1   215.17 229.17
## + CA11      1   215.17 229.17
## + TFDP2     1   215.17 229.17
## + FCER1G    1   215.17 229.17
## - DRD4      1   221.50 231.50
## - CACNG2    1   221.79 231.79
## - ABCD3     1   222.38 232.38
## - MPP3      1   226.33 236.33
## - NEK2      1   243.58 253.58
## 
## Step:  AIC=221.68
## RFS.event ~ NEK2 + ABCD3 + MPP3 + CACNG2 + DRD4 + GJA5
## 
##            Df Deviance    AIC
## + PPIA      1   200.05 216.05
## + CKB       1   201.34 217.34
## + HOXB5     1   201.56 217.56
## + SLC22A4   1   202.28 218.28
## + CLK3      1   203.81 219.81
## + DLG2      1   204.14 220.14
## + DUT       1   204.38 220.38
## + NAP1L4    1   204.58 220.58
## + RPS6      1   204.61 220.61
## + ACADSB    1   205.06 221.06
## + NOL4      1   205.14 221.14
## + CRYBA1    1   205.41 221.41
## + GATA4     1   205.45 221.45
## + PROX1     1   205.50 221.50
## <none>          207.68 221.68
## + LDHA      1   205.82 221.82
## + APRT      1   205.94 221.94
## + IRF3      1   205.95 221.95
## + RAB7L1    1   206.11 222.11
## + HDAC6     1   206.16 222.16
## + KLRB1     1   206.17 222.17
## + FH        1   206.21 222.21
## + CACNA1C   1   206.24 222.24
## + UCP1      1   206.26 222.26
## + CYP39A1   1   206.32 222.32
## + CLDN14    1   206.33 222.33
## + SLC19A1   1   206.43 222.43
## + VPS35     1   206.58 222.58
## + RPS20     1   206.59 222.59
## + CD209     1   206.60 222.60
## + TLR1      1   206.62 222.62
## + OAZ3      1   206.65 222.65
## + CR1       1   206.69 222.69
## + KIR2DS3   1   206.70 222.70
## + ADD2      1   206.75 222.75
## + SHC3      1   206.79 222.79
## + ADD1      1   206.80 222.80
## + PDE7A     1   206.86 222.86
## + TNFRSF9   1   206.87 222.87
## + ESR2      1   206.94 222.94
## + ACYP1     1   206.96 222.96
## + SPAG6     1   206.97 222.97
## + TMEM2     1   207.00 223.00
## + B4GALT2   1   207.02 223.02
## + HOXC10    1   207.06 223.06
## + CDC42BPB  1   207.08 223.08
## + RFC5      1   207.11 223.11
## + TGM3      1   207.26 223.26
## + ADCY8     1   207.28 223.28
## + RPS11     1   207.28 223.28
## + MME       1   207.29 223.29
## + FGF6      1   207.31 223.31
## + MGAM      1   207.32 223.32
## + SLC6A5    1   207.34 223.34
## + TFDP2     1   207.37 223.37
## + GOT2      1   207.37 223.37
## + BNIP2     1   207.40 223.40
## + ZNF202    1   207.41 223.41
## + HSD3B1    1   207.45 223.45
## + LARGE     1   207.45 223.45
## + CHST2     1   207.45 223.45
## + JAK3      1   207.47 223.47
## + SLC6A14   1   207.50 223.50
## + FPR1      1   207.50 223.50
## + MMD       1   207.51 223.51
## + BID       1   207.53 223.53
## + SRI       1   207.53 223.53
## + GGA1      1   207.54 223.54
## + FCER1G    1   207.54 223.54
## + CRK       1   207.54 223.54
## + PECI      1   207.54 223.54
## + EWSR1     1   207.54 223.54
## + NUP98     1   207.57 223.57
## + STAT3     1   207.57 223.57
## + HNRPDL    1   207.58 223.58
## + TIA1      1   207.59 223.59
## + CAMK2B    1   207.60 223.60
## + PBX1      1   207.60 223.60
## + PMAIP1    1   207.61 223.61
## + CDS1      1   207.61 223.61
## + TGFBR2    1   207.62 223.62
## + IFNA5     1   207.62 223.62
## + ACTR3     1   207.64 223.64
## + DOM3Z     1   207.64 223.64
## + ACADL     1   207.65 223.65
## + MAP7      1   207.66 223.66
## + FBXW2     1   207.66 223.66
## + AGL       1   207.66 223.66
## + CLIC2     1   207.66 223.66
## + SRD5A2    1   207.67 223.67
## + CA11      1   207.67 223.67
## + ATP12A    1   207.67 223.67
## + SLC26A4   1   207.67 223.67
## + AXIN1     1   207.68 223.68
## + TMOD2     1   207.68 223.68
## - GJA5      1   215.17 227.17
## - DRD4      1   216.16 228.16
## - ABCD3     1   217.81 229.81
## - CACNG2    1   217.88 229.88
## - MPP3      1   222.17 234.17
## - NEK2      1   241.01 253.01
## 
## Step:  AIC=216.05
## RFS.event ~ NEK2 + ABCD3 + MPP3 + CACNG2 + DRD4 + GJA5 + PPIA
## 
##            Df Deviance    AIC
## + CKB       1   194.12 212.12
## + HOXB5     1   194.41 212.41
## + DLG2      1   195.19 213.19
## + SLC22A4   1   195.46 213.46
## + NOL4      1   196.10 214.10
## + GATA4     1   196.87 214.87
## + RPS20     1   197.30 215.30
## + TLR1      1   197.46 215.46
## + PROX1     1   197.48 215.48
## + FH        1   197.50 215.50
## + DUT       1   197.64 215.64
## + RPS6      1   197.66 215.66
## + RAB7L1    1   197.73 215.73
## + CRYBA1    1   197.83 215.83
## + CLDN14    1   197.84 215.84
## + NAP1L4    1   197.87 215.87
## + CACNA1C   1   197.94 215.94
## <none>          200.05 216.05
## + IRF3      1   198.28 216.28
## + ACADSB    1   198.48 216.48
## + CLK3      1   198.59 216.59
## + SPAG6     1   198.63 216.63
## + BID       1   198.68 216.68
## + ESR2      1   198.75 216.75
## + KLRB1     1   198.75 216.75
## + ADD2      1   198.77 216.77
## + ADD1      1   199.00 217.00
## + RPS11     1   199.00 217.00
## + CDC42BPB  1   199.03 217.03
## + CYP39A1   1   199.10 217.10
## + CHST2     1   199.11 217.11
## + HDAC6     1   199.14 217.14
## + HOXC10    1   199.17 217.17
## + SLC6A5    1   199.20 217.20
## + CR1       1   199.21 217.21
## + OAZ3      1   199.22 217.22
## + SHC3      1   199.27 217.27
## + ADCY8     1   199.29 217.29
## + BNIP2     1   199.31 217.31
## + UCP1      1   199.34 217.34
## + GGA1      1   199.36 217.36
## + FGF6      1   199.40 217.40
## + KIR2DS3   1   199.40 217.40
## + ACADL     1   199.43 217.43
## + ACTR3     1   199.45 217.45
## + PMAIP1    1   199.45 217.45
## + SRI       1   199.46 217.46
## + CD209     1   199.51 217.51
## + MME       1   199.56 217.56
## + TMEM2     1   199.61 217.61
## + LDHA      1   199.62 217.62
## + STAT3     1   199.66 217.66
## + TGM3      1   199.67 217.67
## + EWSR1     1   199.67 217.67
## + JAK3      1   199.68 217.68
## + FPR1      1   199.71 217.71
## + TFDP2     1   199.75 217.75
## + NUP98     1   199.79 217.79
## + DOM3Z     1   199.81 217.81
## + APRT      1   199.82 217.82
## + ZNF202    1   199.82 217.82
## + MGAM      1   199.83 217.83
## + FCER1G    1   199.84 217.84
## + VPS35     1   199.84 217.84
## + HNRPDL    1   199.85 217.85
## + IFNA5     1   199.86 217.86
## + PECI      1   199.87 217.87
## + SLC19A1   1   199.88 217.88
## + CAMK2B    1   199.88 217.88
## + FBXW2     1   199.90 217.90
## + ACYP1     1   199.90 217.90
## + MMD       1   199.92 217.92
## + PDE7A     1   199.93 217.93
## + GOT2      1   199.93 217.93
## + TMOD2     1   199.96 217.96
## + RFC5      1   199.96 217.96
## + TNFRSF9   1   199.97 217.97
## + TGFBR2    1   199.99 217.99
## + CLIC2     1   199.99 217.99
## + CRK       1   199.99 217.99
## + HSD3B1    1   200.00 218.00
## + B4GALT2   1   200.00 218.00
## + CDS1      1   200.01 218.01
## + AXIN1     1   200.02 218.02
## + PBX1      1   200.03 218.03
## + CA11      1   200.03 218.03
## + AGL       1   200.03 218.03
## + SLC6A14   1   200.03 218.03
## + LARGE     1   200.04 218.04
## + SRD5A2    1   200.04 218.04
## + MAP7      1   200.05 218.05
## + ATP12A    1   200.05 218.05
## + SLC26A4   1   200.05 218.05
## + TIA1      1   200.05 218.05
## - PPIA      1   207.68 221.68
## - ABCD3     1   208.34 222.34
## - DRD4      1   209.54 223.54
## - CACNG2    1   210.67 224.67
## - MPP3      1   211.72 225.72
## - GJA5      1   213.52 227.52
## - NEK2      1   225.45 239.45
## 
## Step:  AIC=212.12
## RFS.event ~ NEK2 + ABCD3 + MPP3 + CACNG2 + DRD4 + GJA5 + PPIA + 
##     CKB
## 
##            Df Deviance    AIC
## + HOXB5     1   189.26 209.26
## + DLG2      1   189.72 209.72
## + RPS6      1   189.97 209.97
## + PROX1     1   190.30 210.30
## + RPS20     1   190.50 210.50
## + SLC22A4   1   190.84 210.84
## + CACNA1C   1   191.18 211.18
## + NAP1L4    1   191.22 211.22
## + DUT       1   191.52 211.52
## + FH        1   191.78 211.78
## + GATA4     1   191.87 211.87
## + ADD1      1   191.87 211.87
## <none>          194.12 212.12
## + TLR1      1   192.14 212.14
## + NOL4      1   192.24 212.24
## + CLDN14    1   192.34 212.34
## + IRF3      1   192.37 212.37
## + RPS11     1   192.39 212.39
## + KLRB1     1   192.44 212.44
## + HDAC6     1   192.53 212.53
## + CLK3      1   192.57 212.57
## + CR1       1   192.60 212.60
## + BID       1   192.61 212.61
## + SPAG6     1   192.81 212.81
## + CDC42BPB  1   192.91 212.91
## + CYP39A1   1   193.01 213.01
## + ACADSB    1   193.02 213.02
## + ZNF202    1   193.03 213.03
## + PMAIP1    1   193.06 213.06
## + CRYBA1    1   193.14 213.14
## + RAB7L1    1   193.17 213.17
## + CD209     1   193.18 213.18
## + SHC3      1   193.21 213.21
## + KIR2DS3   1   193.21 213.21
## + OAZ3      1   193.27 213.27
## + HOXC10    1   193.31 213.31
## + LDHA      1   193.34 213.34
## + STAT3     1   193.35 213.35
## + BNIP2     1   193.38 213.38
## + UCP1      1   193.41 213.41
## + TFDP2     1   193.41 213.41
## + ADD2      1   193.41 213.41
## + TMEM2     1   193.46 213.46
## + ACTR3     1   193.47 213.47
## + FPR1      1   193.53 213.53
## + TGM3      1   193.54 213.54
## + CHST2     1   193.57 213.57
## + HNRPDL    1   193.66 213.66
## + PECI      1   193.67 213.67
## + ESR2      1   193.67 213.67
## + TGFBR2    1   193.69 213.69
## + GOT2      1   193.71 213.71
## + SRI       1   193.71 213.71
## + GGA1      1   193.74 213.74
## + JAK3      1   193.74 213.74
## + RFC5      1   193.78 213.78
## + SLC19A1   1   193.79 213.79
## + MMD       1   193.81 213.81
## + FGF6      1   193.84 213.84
## + ADCY8     1   193.85 213.85
## + CA11      1   193.87 213.87
## + HSD3B1    1   193.87 213.87
## + APRT      1   193.88 213.88
## + MGAM      1   193.89 213.89
## + ACADL     1   193.90 213.90
## + MME       1   193.91 213.91
## + ACYP1     1   193.93 213.93
## + TMOD2     1   193.96 213.96
## + TIA1      1   193.96 213.96
## + AGL       1   193.99 213.99
## + TNFRSF9   1   194.00 214.00
## + VPS35     1   194.01 214.01
## + B4GALT2   1   194.01 214.01
## + FCER1G    1   194.01 214.01
## + PBX1      1   194.02 214.02
## + SRD5A2    1   194.03 214.03
## + CLIC2     1   194.04 214.04
## + PDE7A     1   194.05 214.05
## + FBXW2     1   194.06 214.06
## + CAMK2B    1   194.07 214.07
## + ATP12A    1   194.08 214.08
## + SLC6A5    1   194.09 214.09
## + EWSR1     1   194.09 214.09
## + SLC26A4   1   194.09 214.09
## + CRK       1   194.10 214.10
## + MAP7      1   194.10 214.10
## + AXIN1     1   194.11 214.11
## + IFNA5     1   194.11 214.11
## + CDS1      1   194.12 214.12
## + SLC6A14   1   194.12 214.12
## + DOM3Z     1   194.12 214.12
## + NUP98     1   194.12 214.12
## + LARGE     1   194.12 214.12
## - CKB       1   200.05 216.05
## - PPIA      1   201.34 217.34
## - ABCD3     1   202.14 218.14
## - DRD4      1   203.68 219.68
## - MPP3      1   206.82 222.82
## - CACNG2    1   207.98 223.98
## - GJA5      1   208.37 224.37
## - NEK2      1   222.56 238.56
## 
## Step:  AIC=209.26
## RFS.event ~ NEK2 + ABCD3 + MPP3 + CACNG2 + DRD4 + GJA5 + PPIA + 
##     CKB + HOXB5
## 
##            Df Deviance    AIC
## + DLG2      1   184.81 206.81
## + RPS6      1   185.52 207.52
## + RPS20     1   185.63 207.63
## + CACNA1C   1   185.69 207.69
## + CLDN14    1   186.07 208.07
## + PROX1     1   186.07 208.07
## + NAP1L4    1   186.13 208.13
## + DUT       1   186.47 208.47
## + NOL4      1   186.50 208.50
## + TLR1      1   186.62 208.62
## + SLC22A4   1   186.71 208.71
## + GATA4     1   187.08 209.08
## <none>          189.26 209.26
## + CRYBA1    1   187.37 209.37
## + ADD1      1   187.49 209.49
## + BNIP2     1   187.53 209.53
## + BID       1   187.54 209.54
## + CYP39A1   1   187.56 209.56
## + KLRB1     1   187.62 209.62
## + CR1       1   187.66 209.66
## + CHST2     1   187.79 209.79
## + HOXC10    1   187.79 209.79
## + RAB7L1    1   187.80 209.80
## + FH        1   187.87 209.87
## + STAT3     1   187.89 209.89
## + IRF3      1   187.95 209.95
## + CLK3      1   188.02 210.02
## + SHC3      1   188.04 210.04
## + RPS11     1   188.06 210.06
## + HDAC6     1   188.11 210.11
## + ACTR3     1   188.13 210.13
## + TGM3      1   188.19 210.19
## + CDC42BPB  1   188.20 210.20
## + HNRPDL    1   188.21 210.21
## + FPR1      1   188.30 210.30
## + SRI       1   188.38 210.38
## + GGA1      1   188.39 210.39
## + TGFBR2    1   188.39 210.39
## + SPAG6     1   188.42 210.42
## + CD209     1   188.43 210.43
## + ACYP1     1   188.45 210.45
## + ZNF202    1   188.50 210.50
## + LDHA      1   188.51 210.51
## + GOT2      1   188.53 210.53
## + TIA1      1   188.54 210.54
## + ESR2      1   188.57 210.57
## + KIR2DS3   1   188.62 210.62
## + ACADL     1   188.62 210.62
## + ADCY8     1   188.62 210.62
## + ADD2      1   188.68 210.68
## + OAZ3      1   188.68 210.68
## + CA11      1   188.69 210.69
## + UCP1      1   188.74 210.74
## + TFDP2     1   188.74 210.74
## + PMAIP1    1   188.75 210.75
## + APRT      1   188.81 210.81
## + SLC19A1   1   188.83 210.83
## + ACADSB    1   188.91 210.91
## + EWSR1     1   188.96 210.96
## + TMEM2     1   188.96 210.96
## + TMOD2     1   189.01 211.01
## + AGL       1   189.02 211.02
## + MGAM      1   189.04 211.04
## + FCER1G    1   189.06 211.06
## + PECI      1   189.07 211.07
## + ATP12A    1   189.09 211.09
## + RFC5      1   189.11 211.11
## + MME       1   189.13 211.13
## + LARGE     1   189.13 211.13
## + FGF6      1   189.14 211.14
## + TNFRSF9   1   189.14 211.14
## + HSD3B1    1   189.14 211.14
## + SLC6A5    1   189.14 211.14
## + FBXW2     1   189.16 211.16
## + SRD5A2    1   189.19 211.19
## + MMD       1   189.19 211.19
## + CAMK2B    1   189.19 211.19
## + JAK3      1   189.19 211.19
## + CLIC2     1   189.20 211.20
## + MAP7      1   189.20 211.20
## + B4GALT2   1   189.21 211.21
## + DOM3Z     1   189.23 211.23
## + NUP98     1   189.25 211.25
## + PDE7A     1   189.25 211.25
## + CDS1      1   189.25 211.25
## + AXIN1     1   189.25 211.25
## + SLC26A4   1   189.25 211.25
## + PBX1      1   189.26 211.26
## + IFNA5     1   189.26 211.26
## + VPS35     1   189.26 211.26
## + SLC6A14   1   189.26 211.26
## + CRK       1   189.26 211.26
## - HOXB5     1   194.12 212.12
## - CKB       1   194.41 212.41
## - PPIA      1   196.03 214.03
## - DRD4      1   198.74 216.74
## - ABCD3     1   199.64 217.64
## - CACNG2    1   201.75 219.75
## - GJA5      1   204.35 222.35
## - MPP3      1   204.54 222.54
## - NEK2      1   214.69 232.69
## 
## Step:  AIC=206.81
## RFS.event ~ NEK2 + ABCD3 + MPP3 + CACNG2 + DRD4 + GJA5 + PPIA + 
##     CKB + HOXB5 + DLG2
## 
##            Df Deviance    AIC
## + SHC3      1   178.94 202.94
## + PROX1     1   181.00 205.00
## + RPS20     1   181.06 205.06
## + RPS6      1   181.28 205.28
## + CACNA1C   1   181.34 205.34
## + DUT       1   181.41 205.41
## + NAP1L4    1   181.60 205.60
## + TLR1      1   182.33 206.33
## + CDC42BPB  1   182.52 206.52
## + KLRB1     1   182.64 206.64
## + JAK3      1   182.66 206.66
## <none>          184.81 206.81
## + SLC22A4   1   182.83 206.83
## + CLDN14    1   182.88 206.88
## + HDAC6     1   182.89 206.89
## + NOL4      1   182.97 206.97
## + HOXC10    1   183.10 207.10
## + ADD1      1   183.24 207.24
## + RPS11     1   183.35 207.35
## + BNIP2     1   183.35 207.35
## + BID       1   183.38 207.38
## + FPR1      1   183.41 207.41
## + TGFBR2    1   183.42 207.42
## + CLK3      1   183.44 207.44
## + CR1       1   183.47 207.47
## + KIR2DS3   1   183.53 207.53
## + CHST2     1   183.55 207.55
## + GATA4     1   183.57 207.57
## + STAT3     1   183.60 207.60
## + ACTR3     1   183.64 207.64
## + SPAG6     1   183.67 207.67
## + CRYBA1    1   183.67 207.67
## + ADD2      1   183.77 207.77
## + RAB7L1    1   183.78 207.78
## + LDHA      1   183.82 207.82
## + HNRPDL    1   183.83 207.83
## + FH        1   184.01 208.01
## + CLIC2     1   184.03 208.03
## + GGA1      1   184.10 208.10
## + TFDP2     1   184.12 208.12
## + MME       1   184.13 208.13
## + ZNF202    1   184.14 208.14
## + SRI       1   184.18 208.18
## + UCP1      1   184.22 208.22
## + ACYP1     1   184.24 208.24
## + CA11      1   184.26 208.26
## + LARGE     1   184.27 208.27
## + PMAIP1    1   184.27 208.27
## + CYP39A1   1   184.28 208.28
## + TMEM2     1   184.29 208.29
## + GOT2      1   184.29 208.29
## + HSD3B1    1   184.29 208.29
## + RFC5      1   184.32 208.32
## + TIA1      1   184.33 208.33
## + IRF3      1   184.35 208.35
## + EWSR1     1   184.37 208.37
## + TGM3      1   184.41 208.41
## + SLC19A1   1   184.46 208.46
## + TMOD2     1   184.49 208.49
## + ATP12A    1   184.50 208.50
## + FCER1G    1   184.51 208.51
## + MGAM      1   184.54 208.54
## + SLC6A14   1   184.57 208.57
## + ACADL     1   184.58 208.58
## + TNFRSF9   1   184.61 208.61
## + MMD       1   184.62 208.62
## + CD209     1   184.64 208.64
## + APRT      1   184.66 208.66
## + ACADSB    1   184.66 208.66
## + CRK       1   184.69 208.69
## + ADCY8     1   184.70 208.70
## + ESR2      1   184.72 208.72
## + AGL       1   184.73 208.73
## + PECI      1   184.75 208.75
## + FBXW2     1   184.75 208.75
## + NUP98     1   184.76 208.76
## + PDE7A     1   184.76 208.76
## + SRD5A2    1   184.77 208.77
## + DOM3Z     1   184.77 208.77
## + AXIN1     1   184.77 208.77
## + IFNA5     1   184.78 208.78
## + PBX1      1   184.78 208.78
## + OAZ3      1   184.78 208.78
## + MAP7      1   184.78 208.78
## + VPS35     1   184.79 208.79
## + CAMK2B    1   184.79 208.79
## + B4GALT2   1   184.79 208.79
## + SLC26A4   1   184.81 208.81
## + FGF6      1   184.81 208.81
## + SLC6A5    1   184.81 208.81
## + CDS1      1   184.81 208.81
## - DLG2      1   189.26 209.26
## - CKB       1   189.59 209.59
## - HOXB5     1   189.72 209.72
## - DRD4      1   192.71 212.71
## - PPIA      1   192.72 212.72
## - ABCD3     1   196.51 216.51
## - CACNG2    1   199.40 219.40
## - MPP3      1   199.63 219.63
## - GJA5      1   202.40 222.40
## - NEK2      1   210.19 230.19
## 
## Step:  AIC=202.94
## RFS.event ~ NEK2 + ABCD3 + MPP3 + CACNG2 + DRD4 + GJA5 + PPIA + 
##     CKB + HOXB5 + DLG2 + SHC3
## 
##            Df Deviance    AIC
## + DUT       1   174.10 200.10
## + FPR1      1   174.45 200.45
## + CACNA1C   1   174.91 200.91
## + NAP1L4    1   175.24 201.24
## + PROX1     1   175.41 201.41
## + RPS6      1   175.69 201.69
## + TLR1      1   175.72 201.72
## + RPS20     1   175.77 201.77
## + SLC22A4   1   175.88 201.88
## + HOXC10    1   176.52 202.52
## + CLIC2     1   176.58 202.58
## + BID       1   176.75 202.75
## + HDAC6     1   176.80 202.80
## <none>          178.94 202.94
## + CLK3      1   177.13 203.13
## + ADD1      1   177.15 203.15
## + TGFBR2    1   177.18 203.18
## + UCP1      1   177.22 203.22
## + NOL4      1   177.25 203.25
## + CDC42BPB  1   177.42 203.42
## + CHST2     1   177.53 203.53
## + ACTR3     1   177.56 203.56
## + FCER1G    1   177.58 203.58
## + KIR2DS3   1   177.60 203.60
## + SPAG6     1   177.61 203.61
## + FH        1   177.74 203.74
## + KLRB1     1   177.80 203.80
## + LDHA      1   177.83 203.83
## + BNIP2     1   177.84 203.84
## + STAT3     1   177.85 203.85
## + RPS11     1   177.92 203.92
## + RAB7L1    1   177.96 203.96
## + TFDP2     1   178.00 204.00
## + CR1       1   178.01 204.01
## + MME       1   178.05 204.05
## + ADD2      1   178.10 204.10
## + RFC5      1   178.11 204.11
## + CYP39A1   1   178.11 204.11
## + SRI       1   178.18 204.18
## + JAK3      1   178.18 204.18
## + SLC6A5    1   178.20 204.20
## + TMEM2     1   178.35 204.35
## + GATA4     1   178.38 204.38
## + PMAIP1    1   178.45 204.45
## + TNFRSF9   1   178.46 204.46
## + CD209     1   178.46 204.46
## + CLDN14    1   178.47 204.47
## + EWSR1     1   178.47 204.47
## + HNRPDL    1   178.50 204.50
## + APRT      1   178.52 204.52
## + GOT2      1   178.62 204.62
## + HSD3B1    1   178.65 204.65
## + ACYP1     1   178.67 204.67
## + TIA1      1   178.68 204.68
## + IRF3      1   178.69 204.69
## + B4GALT2   1   178.72 204.72
## + FBXW2     1   178.73 204.73
## + ESR2      1   178.75 204.75
## + CA11      1   178.77 204.77
## + MGAM      1   178.78 204.78
## + CRYBA1    1   178.78 204.78
## + VPS35     1   178.81 204.81
## + GGA1      1   178.81 204.81
## + SLC26A4   1   178.81 204.81
## + CRK       1   178.82 204.82
## + TMOD2     1   178.83 204.83
## + ACADL     1   178.83 204.83
## + MMD       1   178.84 204.84
## + CDS1      1   178.85 204.85
## + FGF6      1   178.85 204.85
## + NUP98     1   178.86 204.86
## + ADCY8     1   178.86 204.86
## + DOM3Z     1   178.86 204.86
## + SRD5A2    1   178.87 204.87
## + PECI      1   178.87 204.87
## + CAMK2B    1   178.88 204.88
## + IFNA5     1   178.89 204.89
## + MAP7      1   178.89 204.89
## + ZNF202    1   178.90 204.90
## + AGL       1   178.91 204.91
## + ACADSB    1   178.91 204.91
## + AXIN1     1   178.92 204.92
## + ATP12A    1   178.92 204.92
## + SLC19A1   1   178.93 204.93
## + PBX1      1   178.93 204.93
## + LARGE     1   178.93 204.93
## + PDE7A     1   178.93 204.93
## + SLC6A14   1   178.93 204.93
## + TGM3      1   178.94 204.94
## + OAZ3      1   178.94 204.94
## - CKB       1   183.24 205.24
## - HOXB5     1   184.43 206.43
## - SHC3      1   184.81 206.81
## - DRD4      1   185.55 207.55
## - PPIA      1   185.77 207.77
## - DLG2      1   188.04 210.04
## - ABCD3     1   189.47 211.47
## - MPP3      1   193.51 215.51
## - CACNG2    1   194.78 216.78
## - GJA5      1   198.09 220.09
## - NEK2      1   204.76 226.76
## 
## Step:  AIC=200.1
## RFS.event ~ NEK2 + ABCD3 + MPP3 + CACNG2 + DRD4 + GJA5 + PPIA + 
##     CKB + HOXB5 + DLG2 + SHC3 + DUT
## 
##            Df Deviance    AIC
## + RPS6      1   170.12 198.12
## + SLC22A4   1   170.47 198.47
## + RPS20     1   170.48 198.48
## + CACNA1C   1   170.50 198.50
## + FPR1      1   170.80 198.80
## + BID       1   170.90 198.90
## + NAP1L4    1   171.26 199.26
## + TLR1      1   171.41 199.41
## + HOXC10    1   171.55 199.55
## + RPS11     1   172.03 200.03
## + STAT3     1   172.03 200.03
## + PROX1     1   172.06 200.06
## <none>          174.10 200.10
## + CHST2     1   172.11 200.11
## + UCP1      1   172.17 200.17
## + ADD1      1   172.23 200.23
## + NOL4      1   172.28 200.28
## + TGFBR2    1   172.33 200.33
## + TFDP2     1   172.36 200.36
## + CLIC2     1   172.42 200.42
## + RAB7L1    1   172.50 200.50
## + HDAC6     1   172.52 200.52
## + KLRB1     1   172.54 200.54
## + ACTR3     1   172.57 200.57
## + CLDN14    1   172.69 200.69
## + CR1       1   172.72 200.72
## + BNIP2     1   172.78 200.78
## + CLK3      1   172.81 200.81
## + ADD2      1   172.83 200.83
## + MME       1   172.98 200.98
## + TMEM2     1   173.07 201.07
## + JAK3      1   173.16 201.16
## + FH        1   173.17 201.17
## + SRI       1   173.18 201.18
## + GATA4     1   173.19 201.19
## + ACYP1     1   173.32 201.32
## + FCER1G    1   173.35 201.35
## + SPAG6     1   173.36 201.36
## + EWSR1     1   173.39 201.39
## + CYP39A1   1   173.43 201.43
## + LDHA      1   173.61 201.61
## + HSD3B1    1   173.66 201.66
## + KIR2DS3   1   173.66 201.66
## + CDC42BPB  1   173.67 201.67
## + GGA1      1   173.69 201.69
## + PMAIP1    1   173.71 201.71
## + CD209     1   173.71 201.71
## + CRYBA1    1   173.72 201.72
## + HNRPDL    1   173.77 201.77
## + PBX1      1   173.80 201.80
## + ACADL     1   173.87 201.87
## + RFC5      1   173.88 201.88
## + FBXW2     1   173.89 201.89
## + B4GALT2   1   173.89 201.89
## + SLC6A5    1   173.95 201.95
## + TGM3      1   173.96 201.96
## + ADCY8     1   173.99 201.99
## + AXIN1     1   174.00 202.00
## + IRF3      1   174.01 202.01
## + LARGE     1   174.01 202.01
## + APRT      1   174.02 202.02
## + SLC26A4   1   174.02 202.02
## + MGAM      1   174.03 202.03
## + FGF6      1   174.03 202.03
## + CDS1      1   174.03 202.03
## + TIA1      1   174.04 202.04
## + TNFRSF9   1   174.05 202.05
## + DOM3Z     1   174.06 202.06
## + VPS35     1   174.06 202.06
## + GOT2      1   174.08 202.08
## + OAZ3      1   174.08 202.08
## + CA11      1   174.08 202.08
## + ATP12A    1   174.09 202.09
## + IFNA5     1   174.09 202.09
## + CAMK2B    1   174.09 202.09
## + CRK       1   174.09 202.09
## + SLC19A1   1   174.09 202.09
## + PECI      1   174.09 202.09
## + PDE7A     1   174.09 202.09
## + SLC6A14   1   174.10 202.10
## + MMD       1   174.10 202.10
## + TMOD2     1   174.10 202.10
## + ESR2      1   174.10 202.10
## + SRD5A2    1   174.10 202.10
## + ACADSB    1   174.10 202.10
## + NUP98     1   174.10 202.10
## + AGL       1   174.10 202.10
## + MAP7      1   174.10 202.10
## + ZNF202    1   174.10 202.10
## - CKB       1   178.20 202.20
## - DUT       1   178.94 202.94
## - HOXB5     1   179.62 203.62
## - PPIA      1   180.48 204.48
## - SHC3      1   181.41 205.41
## - DRD4      1   182.10 206.10
## - DLG2      1   185.08 209.08
## - MPP3      1   186.67 210.67
## - ABCD3     1   187.25 211.25
## - GJA5      1   189.07 213.07
## - NEK2      1   189.94 213.94
## - CACNG2    1   190.50 214.50
## 
## Step:  AIC=198.11
## RFS.event ~ NEK2 + ABCD3 + MPP3 + CACNG2 + DRD4 + GJA5 + PPIA + 
##     CKB + HOXB5 + DLG2 + SHC3 + DUT + RPS6
## 
##            Df Deviance    AIC
## + SLC22A4   1   166.15 196.15
## + CACNA1C   1   166.75 196.75
## + TLR1      1   166.87 196.87
## + FPR1      1   167.08 197.08
## + HOXC10    1   167.37 197.37
## + PROX1     1   167.49 197.49
## + NAP1L4    1   167.93 197.93
## + STAT3     1   167.94 197.94
## <none>          170.12 198.12
## + ADD2      1   168.19 198.19
## + BID       1   168.28 198.28
## + BNIP2     1   168.33 198.33
## + UCP1      1   168.37 198.37
## + TGFBR2    1   168.45 198.45
## + CLDN14    1   168.56 198.56
## + FCER1G    1   168.58 198.58
## + CHST2     1   168.58 198.58
## + JAK3      1   168.64 198.64
## + CLIC2     1   168.73 198.73
## + TFDP2     1   168.76 198.76
## + CR1       1   168.80 198.80
## + KLRB1     1   168.80 198.80
## + EWSR1     1   168.83 198.83
## + RAB7L1    1   168.86 198.86
## + MME       1   168.94 198.94
## + GATA4     1   168.94 198.94
## + HDAC6     1   169.05 199.05
## + CLK3      1   169.05 199.05
## + KIR2DS3   1   169.06 199.06
## + NOL4      1   169.11 199.11
## + ADD1      1   169.31 199.31
## + TMEM2     1   169.33 199.33
## + ACTR3     1   169.35 199.35
## + LDHA      1   169.43 199.43
## + FH        1   169.44 199.44
## + SPAG6     1   169.47 199.47
## + RPS20     1   169.52 199.52
## + HNRPDL    1   169.60 199.60
## + HSD3B1    1   169.60 199.60
## + RPS11     1   169.64 199.64
## + ACYP1     1   169.64 199.64
## + CRYBA1    1   169.67 199.67
## + GGA1      1   169.73 199.73
## + LARGE     1   169.75 199.75
## + SLC6A14   1   169.77 199.77
## + SRI       1   169.80 199.80
## + CDS1      1   169.85 199.85
## + ACADL     1   169.88 199.88
## + MGAM      1   169.92 199.92
## + SLC6A5    1   169.93 199.93
## + CDC42BPB  1   169.94 199.94
## + PMAIP1    1   169.96 199.96
## + B4GALT2   1   169.97 199.97
## + AXIN1     1   169.98 199.98
## + MAP7      1   169.98 199.98
## + CD209     1   169.99 199.99
## + RFC5      1   170.00 200.00
## + APRT      1   170.00 200.00
## + PBX1      1   170.00 200.00
## + ADCY8     1   170.01 200.01
## + SLC26A4   1   170.01 200.01
## + ATP12A    1   170.03 200.03
## + FGF6      1   170.05 200.05
## + PDE7A     1   170.06 200.06
## + TNFRSF9   1   170.07 200.07
## + CYP39A1   1   170.07 200.07
## + PECI      1   170.08 200.08
## + FBXW2     1   170.08 200.08
## + OAZ3      1   170.09 200.09
## + SRD5A2    1   170.09 200.09
## + IRF3      1   170.09 200.09
## + CRK       1   170.09 200.09
## - RPS6      1   174.10 200.10
## + TGM3      1   170.10 200.10
## + IFNA5     1   170.11 200.11
## + CAMK2B    1   170.11 200.11
## + SLC19A1   1   170.11 200.11
## + ZNF202    1   170.11 200.11
## + TMOD2     1   170.11 200.11
## + DOM3Z     1   170.11 200.11
## + MMD       1   170.11 200.11
## + CA11      1   170.11 200.11
## + NUP98     1   170.11 200.11
## + TIA1      1   170.11 200.11
## + ACADSB    1   170.11 200.11
## + ESR2      1   170.11 200.11
## + AGL       1   170.11 200.11
## + VPS35     1   170.12 200.12
## + GOT2      1   170.12 200.12
## - HOXB5     1   175.47 201.47
## - CKB       1   175.58 201.58
## - DUT       1   175.69 201.69
## - PPIA      1   176.12 202.12
## - SHC3      1   177.00 203.00
## - DRD4      1   177.96 203.96
## - DLG2      1   180.89 206.89
## - MPP3      1   181.92 207.92
## - GJA5      1   182.63 208.63
## - ABCD3     1   183.13 209.13
## - NEK2      1   183.26 209.26
## - CACNG2    1   185.99 211.99
## 
## Step:  AIC=196.14
## RFS.event ~ NEK2 + ABCD3 + MPP3 + CACNG2 + DRD4 + GJA5 + PPIA + 
##     CKB + HOXB5 + DLG2 + SHC3 + DUT + RPS6 + SLC22A4
## 
##            Df Deviance    AIC
## + PROX1     1   162.51 194.51
## + FPR1      1   162.69 194.69
## + CACNA1C   1   163.01 195.01
## + HOXC10    1   163.25 195.25
## + STAT3     1   163.38 195.38
## + BID       1   163.57 195.57
## + NAP1L4    1   163.70 195.70
## + ADD2      1   163.84 195.84
## + JAK3      1   163.90 195.90
## + KLRB1     1   163.93 195.93
## + TLR1      1   163.96 195.96
## + GATA4     1   164.12 196.12
## <none>          166.15 196.15
## + BNIP2     1   164.16 196.16
## + TGFBR2    1   164.42 196.42
## + ACTR3     1   164.48 196.48
## + KIR2DS3   1   164.51 196.51
## + HDAC6     1   164.64 196.64
## + CHST2     1   164.72 196.72
## + ADD1      1   164.72 196.72
## + CDC42BPB  1   164.85 196.85
## + CLIC2     1   164.99 196.99
## + TMEM2     1   165.04 197.04
## + NOL4      1   165.06 197.06
## + LDHA      1   165.14 197.14
## + CR1       1   165.16 197.16
## + TFDP2     1   165.17 197.17
## + CLK3      1   165.24 197.24
## + CLDN14    1   165.52 197.52
## + RAB7L1    1   165.52 197.52
## + MME       1   165.52 197.52
## + EWSR1     1   165.52 197.52
## + FCER1G    1   165.60 197.60
## + OAZ3      1   165.61 197.61
## + PBX1      1   165.63 197.63
## + RPS20     1   165.66 197.66
## + ACADL     1   165.66 197.66
## + RPS11     1   165.67 197.67
## + ADCY8     1   165.78 197.78
## + FH        1   165.82 197.82
## + CRYBA1    1   165.83 197.83
## + HNRPDL    1   165.83 197.83
## + ACYP1     1   165.85 197.85
## + SPAG6     1   165.85 197.85
## + B4GALT2   1   165.86 197.86
## + HSD3B1    1   165.91 197.91
## + SLC6A5    1   165.91 197.91
## - CKB       1   169.92 197.92
## + GGA1      1   165.93 197.93
## + PMAIP1    1   165.93 197.93
## + RFC5      1   165.93 197.93
## + MAP7      1   165.94 197.94
## + CDS1      1   165.96 197.96
## + SRI       1   165.96 197.96
## + ACADSB    1   165.97 197.97
## + IRF3      1   165.97 197.97
## + NUP98     1   165.98 197.98
## + TMOD2     1   165.99 197.99
## + TNFRSF9   1   165.99 197.99
## + TIA1      1   166.01 198.01
## + UCP1      1   166.03 198.03
## + CAMK2B    1   166.03 198.03
## + AGL       1   166.03 198.03
## + LARGE     1   166.07 198.07
## + ZNF202    1   166.09 198.09
## + SRD5A2    1   166.09 198.09
## + SLC26A4   1   166.09 198.09
## + PECI      1   166.10 198.10
## + PDE7A     1   166.10 198.10
## + FBXW2     1   166.11 198.11
## + AXIN1     1   166.11 198.11
## - SLC22A4   1   170.12 198.12
## + FGF6      1   166.12 198.12
## + CYP39A1   1   166.12 198.12
## + MGAM      1   166.12 198.12
## + SLC6A14   1   166.12 198.12
## + SLC19A1   1   166.13 198.13
## + CRK       1   166.13 198.13
## + CD209     1   166.13 198.13
## + DOM3Z     1   166.13 198.13
## + VPS35     1   166.14 198.14
## + GOT2      1   166.14 198.14
## + ATP12A    1   166.14 198.14
## + ESR2      1   166.14 198.14
## + APRT      1   166.14 198.14
## + TGM3      1   166.14 198.14
## + CA11      1   166.14 198.14
## + MMD       1   166.14 198.14
## + IFNA5     1   166.15 198.15
## - RPS6      1   170.47 198.47
## - HOXB5     1   170.60 198.60
## - DRD4      1   171.32 199.32
## - PPIA      1   171.66 199.66
## - DUT       1   172.32 200.32
## - SHC3      1   174.95 202.95
## - DLG2      1   176.39 204.39
## - NEK2      1   176.78 204.78
## - MPP3      1   177.04 205.04
## - ABCD3     1   177.68 205.68
## - GJA5      1   179.59 207.59
## - CACNG2    1   180.04 208.04
## 
## Step:  AIC=194.51
## RFS.event ~ NEK2 + ABCD3 + MPP3 + CACNG2 + DRD4 + GJA5 + PPIA + 
##     CKB + HOXB5 + DLG2 + SHC3 + DUT + RPS6 + SLC22A4 + PROX1
## 
##            Df Deviance    AIC
## + TLR1      1   157.83 191.83
## + BID       1   158.74 192.74
## + FPR1      1   159.07 193.07
## + KLRB1     1   159.15 193.15
## + ADD2      1   159.33 193.33
## + BNIP2     1   159.42 193.42
## + HOXC10    1   159.52 193.52
## + NAP1L4    1   159.52 193.52
## + GATA4     1   159.70 193.70
## + JAK3      1   159.71 193.71
## + CHST2     1   159.82 193.82
## + NOL4      1   160.12 194.12
## + CACNA1C   1   160.20 194.20
## <none>          162.51 194.51
## + TFDP2     1   160.59 194.59
## + RAB7L1    1   160.61 194.61
## + STAT3     1   160.62 194.62
## + ACTR3     1   160.71 194.71
## + TMEM2     1   160.99 194.99
## + HDAC6     1   161.05 195.05
## + CLIC2     1   161.22 195.22
## + ADD1      1   161.23 195.23
## + LDHA      1   161.32 195.32
## + CR1       1   161.33 195.33
## + TGFBR2    1   161.38 195.38
## + FCER1G    1   161.55 195.55
## + CLK3      1   161.60 195.60
## + ACADL     1   161.67 195.67
## + CDC42BPB  1   161.67 195.67
## + MME       1   161.76 195.76
## + PBX1      1   161.82 195.82
## + KIR2DS3   1   161.83 195.83
## + RPS20     1   161.85 195.85
## + TIA1      1   161.86 195.86
## + CRYBA1    1   161.88 195.88
## + OAZ3      1   161.88 195.88
## + EWSR1     1   161.95 195.95
## + RPS11     1   161.98 195.98
## + ACADSB    1   162.06 196.06
## - PROX1     1   166.15 196.15
## + FH        1   162.18 196.18
## + AGL       1   162.21 196.21
## + HSD3B1    1   162.21 196.21
## + ADCY8     1   162.23 196.23
## + CLDN14    1   162.23 196.23
## + HNRPDL    1   162.23 196.23
## + FBXW2     1   162.24 196.24
## + ACYP1     1   162.26 196.26
## + AXIN1     1   162.27 196.27
## + MAP7      1   162.28 196.28
## + SLC6A14   1   162.29 196.29
## + SRI       1   162.31 196.31
## + CRK       1   162.32 196.32
## + SLC26A4   1   162.33 196.33
## + CD209     1   162.33 196.33
## + B4GALT2   1   162.35 196.35
## + CDS1      1   162.36 196.36
## + ATP12A    1   162.38 196.38
## + SRD5A2    1   162.38 196.38
## + UCP1      1   162.38 196.38
## + TNFRSF9   1   162.38 196.38
## + GGA1      1   162.41 196.41
## + ESR2      1   162.44 196.44
## + SPAG6     1   162.44 196.44
## + IFNA5     1   162.46 196.46
## + PMAIP1    1   162.46 196.46
## + SLC6A5    1   162.47 196.47
## + MGAM      1   162.47 196.47
## + SLC19A1   1   162.49 196.49
## + IRF3      1   162.49 196.49
## + TMOD2     1   162.49 196.49
## + CYP39A1   1   162.49 196.49
## + TGM3      1   162.49 196.49
## + PDE7A     1   162.50 196.50
## + CA11      1   162.50 196.50
## + ZNF202    1   162.50 196.50
## + LARGE     1   162.50 196.50
## + NUP98     1   162.50 196.50
## + APRT      1   162.50 196.50
## + MMD       1   162.51 196.51
## + FGF6      1   162.51 196.51
## + VPS35     1   162.51 196.51
## + CAMK2B    1   162.51 196.51
## + DOM3Z     1   162.51 196.51
## + GOT2      1   162.51 196.51
## + RFC5      1   162.51 196.51
## + PECI      1   162.51 196.51
## - DUT       1   166.64 196.64
## - HOXB5     1   166.82 196.82
## - DRD4      1   167.18 197.18
## - RPS6      1   167.30 197.30
## - SLC22A4   1   167.49 197.49
## - CKB       1   167.50 197.50
## - PPIA      1   168.55 198.55
## - SHC3      1   170.69 200.69
## - DLG2      1   173.14 203.14
## - NEK2      1   174.00 204.00
## - GJA5      1   175.50 205.50
## - CACNG2    1   175.53 205.53
## - ABCD3     1   175.65 205.65
## - MPP3      1   176.91 206.91
## 
## Step:  AIC=191.83
## RFS.event ~ NEK2 + ABCD3 + MPP3 + CACNG2 + DRD4 + GJA5 + PPIA + 
##     CKB + HOXB5 + DLG2 + SHC3 + DUT + RPS6 + SLC22A4 + PROX1 + 
##     TLR1
## 
##            Df Deviance    AIC
## + BID       1   153.72 189.72
## + ADD2      1   155.29 191.29
## + GATA4     1   155.34 191.34
## + TGFBR2    1   155.54 191.54
## <none>          157.83 191.83
## + STAT3     1   155.91 191.91
## + NAP1L4    1   156.09 192.09
## + HOXC10    1   156.18 192.18
## + TFDP2     1   156.25 192.25
## + JAK3      1   156.31 192.31
## + CACNA1C   1   156.32 192.32
## + FPR1      1   156.52 192.52
## + BNIP2     1   156.56 192.56
## + LDHA      1   156.57 192.57
## - DUT       1   160.64 192.64
## + KLRB1     1   156.67 192.67
## + CLK3      1   156.71 192.71
## + NOL4      1   156.75 192.75
## + ADD1      1   156.80 192.80
## + ACADL     1   156.80 192.80
## + HDAC6     1   156.81 192.81
## + MME       1   156.84 192.84
## + ACTR3     1   156.86 192.86
## + TMEM2     1   156.91 192.91
## + RAB7L1    1   156.97 192.97
## + CDS1      1   157.02 193.02
## + KIR2DS3   1   157.04 193.04
## + TIA1      1   157.13 193.13
## + CHST2     1   157.14 193.14
## + B4GALT2   1   157.14 193.14
## + RPS11     1   157.20 193.20
## + ACYP1     1   157.26 193.26
## + FH        1   157.30 193.30
## + AGL       1   157.31 193.31
## + CDC42BPB  1   157.36 193.36
## + GOT2      1   157.37 193.37
## + CR1       1   157.41 193.41
## + FBXW2     1   157.42 193.42
## + RPS20     1   157.44 193.44
## + EWSR1     1   157.47 193.47
## + CLIC2     1   157.48 193.48
## + UCP1      1   157.51 193.51
## + OAZ3      1   157.52 193.52
## + HSD3B1    1   157.53 193.53
## + SLC26A4   1   157.55 193.55
## + CRK       1   157.56 193.56
## + PBX1      1   157.61 193.61
## + MGAM      1   157.64 193.64
## + TMOD2     1   157.68 193.68
## + PMAIP1    1   157.68 193.68
## + HNRPDL    1   157.68 193.68
## + CLDN14    1   157.69 193.69
## + PDE7A     1   157.71 193.71
## + DOM3Z     1   157.71 193.71
## + ACADSB    1   157.71 193.71
## + SPAG6     1   157.72 193.72
## + MAP7      1   157.73 193.73
## + CD209     1   157.73 193.73
## + SRI       1   157.74 193.74
## + SRD5A2    1   157.76 193.76
## + CRYBA1    1   157.78 193.78
## + CA11      1   157.78 193.78
## + NUP98     1   157.79 193.79
## + ESR2      1   157.80 193.80
## + SLC6A14   1   157.80 193.80
## + CYP39A1   1   157.80 193.80
## - SLC22A4   1   161.80 193.80
## + TNFRSF9   1   157.80 193.80
## + SLC6A5    1   157.80 193.80
## + IRF3      1   157.81 193.81
## + APRT      1   157.81 193.81
## + ATP12A    1   157.81 193.81
## + FCER1G    1   157.81 193.81
## + TGM3      1   157.81 193.81
## + ZNF202    1   157.81 193.81
## + IFNA5     1   157.82 193.82
## + MMD       1   157.82 193.82
## + RFC5      1   157.82 193.82
## + GGA1      1   157.82 193.82
## + PECI      1   157.82 193.82
## + ADCY8     1   157.82 193.82
## + AXIN1     1   157.82 193.82
## + VPS35     1   157.83 193.83
## + FGF6      1   157.83 193.83
## + CAMK2B    1   157.83 193.83
## + LARGE     1   157.83 193.83
## + SLC19A1   1   157.83 193.83
## - DRD4      1   162.19 194.19
## - CKB       1   162.41 194.41
## - TLR1      1   162.51 194.51
## - HOXB5     1   162.72 194.72
## - RPS6      1   163.59 195.59
## - PROX1     1   163.96 195.96
## - PPIA      1   165.90 197.90
## - SHC3      1   166.85 198.85
## - DLG2      1   168.34 200.34
## - CACNG2    1   170.98 202.98
## - NEK2      1   172.05 204.05
## - MPP3      1   172.90 204.90
## - GJA5      1   174.71 206.71
## - ABCD3     1   175.10 207.10
## 
## Step:  AIC=189.72
## RFS.event ~ NEK2 + ABCD3 + MPP3 + CACNG2 + DRD4 + GJA5 + PPIA + 
##     CKB + HOXB5 + DLG2 + SHC3 + DUT + RPS6 + SLC22A4 + PROX1 + 
##     TLR1 + BID
## 
##            Df Deviance    AIC
## + STAT3     1   151.65 189.65
## <none>          153.72 189.72
## + NAP1L4    1   151.74 189.74
## + LDHA      1   151.86 189.86
## + TGFBR2    1   151.86 189.86
## + ADD2      1   151.89 189.89
## + TMEM2     1   152.05 190.05
## + CLK3      1   152.06 190.06
## + TFDP2     1   152.12 190.12
## + RAB7L1    1   152.18 190.18
## + GATA4     1   152.47 190.47
## + MME       1   152.48 190.48
## + KLRB1     1   152.50 190.50
## + SLC26A4   1   152.50 190.50
## + FH        1   152.55 190.55
## + ACADL     1   152.63 190.63
## + CDS1      1   152.71 190.71
## + JAK3      1   152.78 190.78
## + FBXW2     1   152.80 190.80
## + FPR1      1   152.83 190.83
## + NOL4      1   152.85 190.85
## + CACNA1C   1   152.88 190.88
## + HDAC6     1   152.88 190.88
## + KIR2DS3   1   152.92 190.92
## + ADD1      1   152.92 190.92
## + BNIP2     1   152.94 190.94
## + HOXC10    1   152.95 190.95
## - DUT       1   156.97 190.97
## + GOT2      1   153.00 191.00
## + UCP1      1   153.21 191.21
## + CLIC2     1   153.24 191.24
## + AGL       1   153.27 191.27
## + PDE7A     1   153.33 191.33
## + CR1       1   153.35 191.35
## + CRK       1   153.36 191.36
## + ACTR3     1   153.37 191.37
## + TMOD2     1   153.38 191.38
## - RPS6      1   157.40 191.40
## + FGF6      1   153.40 191.40
## + RPS11     1   153.40 191.40
## + TGM3      1   153.43 191.43
## + TIA1      1   153.44 191.44
## + ACYP1     1   153.46 191.46
## + EWSR1     1   153.48 191.48
## + OAZ3      1   153.49 191.49
## + HSD3B1    1   153.49 191.49
## + CHST2     1   153.52 191.52
## - DRD4      1   157.52 191.52
## + LARGE     1   153.56 191.56
## + PECI      1   153.56 191.56
## + MAP7      1   153.56 191.56
## + B4GALT2   1   153.57 191.57
## + CA11      1   153.59 191.59
## + CDC42BPB  1   153.59 191.59
## + RPS20     1   153.59 191.59
## + APRT      1   153.59 191.59
## + GGA1      1   153.59 191.59
## + HNRPDL    1   153.59 191.59
## + MGAM      1   153.60 191.60
## + IFNA5     1   153.61 191.61
## + TNFRSF9   1   153.61 191.61
## + RFC5      1   153.62 191.62
## + PMAIP1    1   153.63 191.63
## + SRD5A2    1   153.64 191.64
## + SLC6A14   1   153.66 191.66
## + MMD       1   153.66 191.66
## + CLDN14    1   153.67 191.67
## + FCER1G    1   153.67 191.67
## + CAMK2B    1   153.67 191.67
## + ADCY8     1   153.68 191.68
## + VPS35     1   153.68 191.68
## + ATP12A    1   153.69 191.69
## + DOM3Z     1   153.69 191.69
## + ESR2      1   153.69 191.69
## + AXIN1     1   153.71 191.71
## + ACADSB    1   153.71 191.71
## + CD209     1   153.71 191.71
## + IRF3      1   153.72 191.72
## + SPAG6     1   153.72 191.72
## + ZNF202    1   153.72 191.72
## + NUP98     1   153.72 191.72
## + SRI       1   153.72 191.72
## + SLC19A1   1   153.72 191.72
## + PBX1      1   153.72 191.72
## + CYP39A1   1   153.72 191.72
## + SLC6A5    1   153.72 191.72
## + CRYBA1    1   153.72 191.72
## - CKB       1   157.80 191.80
## - BID       1   157.83 191.83
## - SLC22A4   1   158.54 192.54
## - HOXB5     1   158.69 192.69
## - TLR1      1   158.74 192.74
## - PROX1     1   161.36 195.36
## - DLG2      1   163.96 197.96
## - PPIA      1   164.60 198.60
## - SHC3      1   164.63 198.63
## - NEK2      1   168.63 202.63
## - CACNG2    1   169.04 203.04
## - MPP3      1   169.84 203.84
## - ABCD3     1   173.21 207.21
## - GJA5      1   173.71 207.71
## 
## Step:  AIC=189.65
## RFS.event ~ NEK2 + ABCD3 + MPP3 + CACNG2 + DRD4 + GJA5 + PPIA + 
##     CKB + HOXB5 + DLG2 + SHC3 + DUT + RPS6 + SLC22A4 + PROX1 + 
##     TLR1 + BID + STAT3
## 
##            Df Deviance    AIC
## + FH        1   149.63 189.63
## <none>          151.65 189.65
## + NAP1L4    1   149.66 189.66
## + RAB7L1    1   149.69 189.69
## - STAT3     1   153.72 189.72
## + TFDP2     1   149.86 189.86
## + CLK3      1   149.86 189.86
## + LDHA      1   149.97 189.97
## + TGFBR2    1   150.05 190.05
## + TMEM2     1   150.06 190.06
## + ADD2      1   150.14 190.14
## + MME       1   150.31 190.31
## + SLC26A4   1   150.44 190.44
## + KIR2DS3   1   150.57 190.57
## + JAK3      1   150.61 190.61
## + GATA4     1   150.67 190.67
## + HOXC10    1   150.69 190.69
## + FPR1      1   150.70 190.70
## + FBXW2     1   150.73 190.73
## + CACNA1C   1   150.84 190.84
## + NOL4      1   150.84 190.84
## + UCP1      1   150.88 190.88
## + CR1       1   151.00 191.00
## + B4GALT2   1   151.03 191.03
## + GOT2      1   151.05 191.05
## + ACADL     1   151.05 191.05
## + FGF6      1   151.08 191.08
## + CDS1      1   151.09 191.09
## + KLRB1     1   151.11 191.11
## - DRD4      1   155.15 191.15
## + CRK       1   151.15 191.15
## + BNIP2     1   151.22 191.22
## + HDAC6     1   151.24 191.24
## + HSD3B1    1   151.25 191.25
## + TGM3      1   151.27 191.27
## + ADD1      1   151.35 191.35
## + MMD       1   151.37 191.37
## + MAP7      1   151.42 191.42
## + PDE7A     1   151.42 191.42
## - RPS6      1   155.42 191.42
## + CLIC2     1   151.43 191.43
## + AGL       1   151.43 191.43
## + CHST2     1   151.44 191.44
## + EWSR1     1   151.44 191.44
## + AXIN1     1   151.45 191.45
## + TMOD2     1   151.46 191.46
## + RFC5      1   151.48 191.48
## + LARGE     1   151.49 191.49
## + RPS11     1   151.49 191.49
## + PECI      1   151.51 191.51
## + TIA1      1   151.54 191.54
## + OAZ3      1   151.54 191.54
## + IRF3      1   151.54 191.54
## + ZNF202    1   151.54 191.54
## + GGA1      1   151.56 191.56
## + ESR2      1   151.56 191.56
## + CAMK2B    1   151.57 191.57
## + ACTR3     1   151.57 191.57
## + CDC42BPB  1   151.57 191.57
## + TNFRSF9   1   151.58 191.58
## + CA11      1   151.58 191.58
## + ACYP1     1   151.59 191.59
## + IFNA5     1   151.59 191.59
## + RPS20     1   151.59 191.59
## + PMAIP1    1   151.59 191.59
## + ADCY8     1   151.59 191.59
## + SLC6A14   1   151.60 191.60
## + SRD5A2    1   151.61 191.61
## + CLDN14    1   151.61 191.61
## + HNRPDL    1   151.61 191.61
## + ATP12A    1   151.62 191.62
## + SPAG6     1   151.63 191.63
## + CRYBA1    1   151.63 191.63
## + PBX1      1   151.63 191.63
## + SRI       1   151.64 191.64
## + SLC19A1   1   151.64 191.64
## + NUP98     1   151.64 191.64
## + DOM3Z     1   151.64 191.64
## + CD209     1   151.64 191.64
## + ACADSB    1   151.64 191.64
## + FCER1G    1   151.64 191.64
## + VPS35     1   151.64 191.64
## + CYP39A1   1   151.64 191.64
## + MGAM      1   151.65 191.65
## + SLC6A5    1   151.65 191.65
## + APRT      1   151.65 191.65
## - DUT       1   155.82 191.82
## - CKB       1   155.90 191.90
## - BID       1   155.91 191.91
## - SLC22A4   1   156.65 192.65
## - TLR1      1   156.73 192.73
## - HOXB5     1   157.06 193.06
## - PROX1     1   157.98 193.98
## - DLG2      1   161.91 197.91
## - SHC3      1   162.23 198.23
## - PPIA      1   163.18 199.18
## - NEK2      1   166.84 202.84
## - MPP3      1   167.17 203.17
## - CACNG2    1   168.41 204.41
## - ABCD3     1   168.63 204.63
## - GJA5      1   171.87 207.87
## 
## Step:  AIC=189.63
## RFS.event ~ NEK2 + ABCD3 + MPP3 + CACNG2 + DRD4 + GJA5 + PPIA + 
##     CKB + HOXB5 + DLG2 + SHC3 + DUT + RPS6 + SLC22A4 + PROX1 + 
##     TLR1 + BID + STAT3 + FH
## 
##            Df Deviance    AIC
## + LDHA      1   147.34 189.34
## + CLK3      1   147.36 189.36
## + TMEM2     1   147.38 189.38
## <none>          149.63 189.63
## - FH        1   151.65 189.65
## + NAP1L4    1   147.86 189.86
## + TFDP2     1   147.98 189.98
## + MME       1   148.13 190.13
## + TGM3      1   148.38 190.38
## + TGFBR2    1   148.47 190.47
## + SLC26A4   1   148.47 190.47
## + CR1       1   148.47 190.47
## - STAT3     1   152.55 190.55
## + CACNA1C   1   148.58 190.58
## + B4GALT2   1   148.60 190.60
## + KIR2DS3   1   148.61 190.61
## + ADD2      1   148.64 190.64
## + RAB7L1    1   148.66 190.66
## - RPS6      1   152.69 190.69
## + HOXC10    1   148.76 190.76
## + FBXW2     1   148.87 190.87
## + JAK3      1   148.91 190.91
## + UCP1      1   148.91 190.91
## + FPR1      1   148.94 190.94
## + KLRB1     1   148.98 190.98
## + NOL4      1   149.04 191.04
## + FGF6      1   149.08 191.08
## + HSD3B1    1   149.08 191.08
## + GATA4     1   149.15 191.15
## + RPS11     1   149.18 191.18
## + CDS1      1   149.20 191.20
## + HDAC6     1   149.24 191.24
## + RPS20     1   149.25 191.25
## + CLIC2     1   149.28 191.28
## + ADD1      1   149.29 191.29
## - DRD4      1   153.30 191.30
## + ESR2      1   149.32 191.32
## + SRD5A2    1   149.33 191.33
## + TMOD2     1   149.34 191.34
## + AXIN1     1   149.37 191.37
## + AGL       1   149.38 191.38
## + ADCY8     1   149.39 191.39
## + CRK       1   149.40 191.40
## + GOT2      1   149.41 191.41
## + CA11      1   149.44 191.44
## + ACADL     1   149.44 191.44
## + LARGE     1   149.45 191.45
## + MMD       1   149.46 191.46
## + PDE7A     1   149.47 191.47
## + CRYBA1    1   149.47 191.47
## + TNFRSF9   1   149.47 191.47
## + BNIP2     1   149.48 191.48
## + OAZ3      1   149.48 191.48
## + HNRPDL    1   149.48 191.48
## + IFNA5     1   149.48 191.48
## + SLC6A14   1   149.51 191.51
## + FCER1G    1   149.53 191.53
## + CLDN14    1   149.53 191.53
## + CAMK2B    1   149.54 191.54
## + IRF3      1   149.55 191.55
## + NUP98     1   149.55 191.55
## + CDC42BPB  1   149.56 191.56
## + PECI      1   149.56 191.56
## + ZNF202    1   149.56 191.56
## + DOM3Z     1   149.57 191.57
## + VPS35     1   149.57 191.57
## + CHST2     1   149.58 191.58
## + EWSR1     1   149.58 191.58
## + ACYP1     1   149.58 191.58
## + RFC5      1   149.59 191.59
## + MGAM      1   149.60 191.60
## + ATP12A    1   149.61 191.61
## + CYP39A1   1   149.61 191.61
## + PMAIP1    1   149.62 191.62
## + SRI       1   149.62 191.62
## + PBX1      1   149.62 191.62
## + TIA1      1   149.62 191.62
## + SPAG6     1   149.62 191.62
## + GGA1      1   149.62 191.62
## + APRT      1   149.62 191.62
## + SLC6A5    1   149.63 191.63
## + SLC19A1   1   149.63 191.63
## + MAP7      1   149.63 191.63
## + CD209     1   149.63 191.63
## + ACADSB    1   149.63 191.63
## + ACTR3     1   149.63 191.63
## - DUT       1   153.77 191.77
## - SLC22A4   1   153.96 191.96
## - CKB       1   154.27 192.27
## - HOXB5     1   154.35 192.35
## - BID       1   154.84 192.84
## - TLR1      1   155.20 193.20
## - PROX1     1   156.04 194.04
## - DLG2      1   158.97 196.97
## - SHC3      1   160.84 198.84
## - PPIA      1   162.67 200.67
## - MPP3      1   165.09 203.09
## - NEK2      1   166.60 204.60
## - ABCD3     1   167.55 205.55
## - CACNG2    1   167.93 205.93
## - GJA5      1   171.60 209.60
## 
## Step:  AIC=189.33
## RFS.event ~ NEK2 + ABCD3 + MPP3 + CACNG2 + DRD4 + GJA5 + PPIA + 
##     CKB + HOXB5 + DLG2 + SHC3 + DUT + RPS6 + SLC22A4 + PROX1 + 
##     TLR1 + BID + STAT3 + FH + LDHA
## 
##            Df Deviance    AIC
## <none>          147.34 189.34
## + TFDP2     1   145.37 189.37
## + MME       1   145.43 189.43
## + FPR1      1   145.56 189.56
## + B4GALT2   1   145.57 189.57
## - LDHA      1   149.63 189.63
## + NAP1L4    1   145.65 189.65
## + TMEM2     1   145.70 189.70
## - DRD4      1   149.71 189.71
## + CLK3      1   145.78 189.78
## - FH        1   149.97 189.97
## + TGM3      1   146.03 190.03
## + ADD2      1   146.19 190.19
## + SLC26A4   1   146.21 190.21
## + CR1       1   146.23 190.23
## - STAT3     1   150.25 190.25
## - DUT       1   150.32 190.32
## - RPS6      1   150.38 190.38
## + TGFBR2    1   146.42 190.42
## + ADD1      1   146.46 190.46
## + FBXW2     1   146.47 190.47
## + JAK3      1   146.49 190.49
## + RAB7L1    1   146.62 190.62
## + FGF6      1   146.63 190.63
## + UCP1      1   146.65 190.65
## + GATA4     1   146.68 190.68
## + RPS20     1   146.68 190.68
## + KIR2DS3   1   146.69 190.69
## + HOXC10    1   146.71 190.71
## + RPS11     1   146.73 190.73
## + CRK       1   146.79 190.79
## + CACNA1C   1   146.79 190.79
## + EWSR1     1   146.81 190.81
## + NOL4      1   146.81 190.81
## + CDS1      1   146.82 190.82
## + KLRB1     1   146.82 190.82
## + TMOD2     1   146.84 190.84
## + BNIP2     1   146.86 190.86
## + LARGE     1   146.94 190.94
## + ACADL     1   146.97 190.97
## + SRD5A2    1   146.98 190.98
## + AGL       1   146.99 190.99
## + IFNA5     1   147.00 191.00
## + ESR2      1   147.07 191.07
## + CLIC2     1   147.10 191.10
## + PDE7A     1   147.10 191.10
## + HSD3B1    1   147.11 191.11
## + HDAC6     1   147.12 191.12
## + GOT2      1   147.13 191.13
## + CAMK2B    1   147.14 191.14
## + FCER1G    1   147.14 191.14
## + HNRPDL    1   147.15 191.15
## + OAZ3      1   147.15 191.15
## + RFC5      1   147.15 191.15
## + MMD       1   147.16 191.16
## + TNFRSF9   1   147.16 191.16
## + PBX1      1   147.17 191.17
## + CHST2     1   147.19 191.19
## + ACTR3     1   147.19 191.19
## + PMAIP1    1   147.20 191.20
## + AXIN1     1   147.20 191.20
## + SPAG6     1   147.22 191.22
## + CA11      1   147.25 191.25
## + APRT      1   147.26 191.26
## + ADCY8     1   147.26 191.26
## + SLC6A14   1   147.26 191.26
## + GGA1      1   147.27 191.27
## + CDC42BPB  1   147.28 191.28
## + ACADSB    1   147.28 191.28
## + TIA1      1   147.30 191.30
## + SRI       1   147.31 191.31
## + CRYBA1    1   147.32 191.32
## + ZNF202    1   147.32 191.32
## + ATP12A    1   147.32 191.32
## + CLDN14    1   147.32 191.32
## + DOM3Z     1   147.33 191.33
## + SLC19A1   1   147.33 191.33
## + IRF3      1   147.33 191.33
## + SLC6A5    1   147.33 191.33
## + PECI      1   147.33 191.33
## + MAP7      1   147.33 191.33
## + CD209     1   147.33 191.33
## + ACYP1     1   147.33 191.33
## + MGAM      1   147.33 191.33
## + VPS35     1   147.33 191.33
## + NUP98     1   147.34 191.34
## + CYP39A1   1   147.34 191.34
## - HOXB5     1   151.57 191.57
## - SLC22A4   1   152.20 192.20
## - CKB       1   152.76 192.76
## - TLR1      1   153.09 193.09
## - BID       1   153.40 193.40
## - PROX1     1   154.47 194.47
## - DLG2      1   157.40 197.40
## - SHC3      1   158.85 198.85
## - PPIA      1   158.94 198.94
## - NEK2      1   161.97 201.97
## - MPP3      1   164.29 204.29
## - CACNG2    1   165.22 205.22
## - ABCD3     1   166.57 206.57
## - GJA5      1   167.02 207.02

make ROC object

pred = predict(stepFit, newdata=tsDat, type='response')
rocObj = roc(tr.gDat$RFS.event, pred, ci=T)
cut = prop.table(table(trDat$RFS.event))[2]

Cross validation

splt = rep(1:10, rep(c(20,19), c(7,3)))
pred = rep(0, nrow(trDat)) 
predR = rep(0, nrow(trDat)) 
for(i in 1:10){
trCV = trDat[splt!=i,]
tsCV = trDat[splt==i,]
f = as.formula(RFS.event ~ ER + Grade + tumor.size + node.status) 
stepFit = glm(RFS.event ~ 1,family='binomial', data=trCV) 
stepFit = step(stepFit, scope=f)
pred[splt==i] = predict(stepFit, newdata=tsCV, type='response') 
cut = sum(trCV$RFS.event) / nrow(trCV)
predR[splt==i] = ifelse(pred[splt==i] > cut, 1, 0)
}
## Start:  AIC=235.81
## RFS.event ~ 1
## 
##               Df Deviance    AIC
## + Grade        1   211.35 215.35
## + ER           1   229.52 233.52
## <none>             233.81 235.81
## + tumor.size   1   232.41 236.41
## + node.status  1   233.81 237.81
## 
## Step:  AIC=215.35
## RFS.event ~ Grade
## 
##               Df Deviance    AIC
## <none>             211.35 215.35
## + ER           1   210.98 216.98
## + tumor.size   1   211.07 217.07
## + node.status  1   211.33 217.33
## - Grade        1   233.81 235.81
## Start:  AIC=237.79
## RFS.event ~ 1
## 
##               Df Deviance    AIC
## + Grade        1   215.27 219.27
## + ER           1   226.19 230.19
## + tumor.size   1   233.05 237.05
## <none>             235.79 237.79
## + node.status  1   235.56 239.56
## 
## Step:  AIC=219.27
## RFS.event ~ Grade
## 
##               Df Deviance    AIC
## + ER           1   211.95 217.95
## <none>             215.27 219.27
## + node.status  1   214.75 220.75
## + tumor.size   1   215.22 221.22
## - Grade        1   235.79 237.79
## 
## Step:  AIC=217.95
## RFS.event ~ Grade + ER
## 
##               Df Deviance    AIC
## <none>             211.95 217.95
## - ER           1   215.27 219.27
## + node.status  1   211.41 219.41
## + tumor.size   1   211.90 219.90
## - Grade        1   226.19 230.19
## Start:  AIC=237.79
## RFS.event ~ 1
## 
##               Df Deviance    AIC
## + Grade        1   219.44 223.44
## + ER           1   228.57 232.57
## + tumor.size   1   232.00 236.00
## <none>             235.79 237.79
## + node.status  1   235.31 239.31
## 
## Step:  AIC=223.44
## RFS.event ~ Grade
## 
##               Df Deviance    AIC
## + ER           1   217.44 223.44
## <none>             219.44 223.44
## + node.status  1   219.02 225.02
## + tumor.size   1   219.26 225.26
## - Grade        1   235.79 237.79
## 
## Step:  AIC=223.44
## RFS.event ~ Grade + ER
## 
##               Df Deviance    AIC
## <none>             217.44 223.44
## - ER           1   219.44 223.44
## + node.status  1   216.87 224.87
## + tumor.size   1   217.25 225.25
## - Grade        1   228.57 232.57
## Start:  AIC=239.58
## RFS.event ~ 1
## 
##               Df Deviance    AIC
## + Grade        1   221.80 225.80
## + ER           1   228.97 232.97
## + tumor.size   1   235.04 239.04
## <none>             237.58 239.58
## + node.status  1   237.52 241.52
## 
## Step:  AIC=225.8
## RFS.event ~ Grade
## 
##               Df Deviance    AIC
## + ER           1   218.61 224.61
## <none>             221.80 225.80
## + node.status  1   221.61 227.61
## + tumor.size   1   221.72 227.72
## - Grade        1   237.58 239.58
## 
## Step:  AIC=224.61
## RFS.event ~ Grade + ER
## 
##               Df Deviance    AIC
## <none>             218.61 224.61
## - ER           1   221.80 225.80
## + node.status  1   218.35 226.35
## + tumor.size   1   218.53 226.53
## - Grade        1   228.97 232.97
## Start:  AIC=240.41
## RFS.event ~ 1
## 
##               Df Deviance    AIC
## + Grade        1   218.60 222.60
## + ER           1   231.25 235.25
## <none>             238.41 240.41
## + tumor.size   1   237.11 241.11
## + node.status  1   238.34 242.34
## 
## Step:  AIC=222.6
## RFS.event ~ Grade
## 
##               Df Deviance    AIC
## <none>             218.60 222.60
## + ER           1   216.72 222.72
## + tumor.size   1   218.40 224.40
## + node.status  1   218.57 224.57
## - Grade        1   238.41 240.41
## Start:  AIC=238.71
## RFS.event ~ 1
## 
##               Df Deviance    AIC
## + Grade        1   218.06 222.06
## + ER           1   228.92 232.92
## + tumor.size   1   233.90 237.90
## <none>             236.71 238.71
## + node.status  1   236.70 240.70
## 
## Step:  AIC=222.06
## RFS.event ~ Grade
## 
##               Df Deviance    AIC
## + ER           1   215.62 221.62
## <none>             218.06 222.06
## + node.status  1   217.96 223.96
## + tumor.size   1   218.00 224.00
## - Grade        1   236.71 238.71
## 
## Step:  AIC=221.62
## RFS.event ~ Grade + ER
## 
##               Df Deviance    AIC
## <none>             215.62 221.62
## - ER           1   218.06 222.06
## + node.status  1   215.47 223.47
## + tumor.size   1   215.53 223.53
## - Grade        1   228.92 232.92
## Start:  AIC=242.6
## RFS.event ~ 1
## 
##               Df Deviance    AIC
## + Grade        1   223.47 227.47
## + ER           1   233.65 237.65
## <none>             240.60 242.60
## + tumor.size   1   240.04 244.04
## + node.status  1   240.59 244.59
## 
## Step:  AIC=227.47
## RFS.event ~ Grade
## 
##               Df Deviance    AIC
## + ER           1   221.42 227.42
## <none>             223.47 227.47
## + tumor.size   1   222.98 228.98
## + node.status  1   223.47 229.47
## - Grade        1   240.60 242.60
## 
## Step:  AIC=227.42
## RFS.event ~ Grade + ER
## 
##               Df Deviance    AIC
## <none>             221.42 227.42
## - ER           1   223.47 227.47
## + tumor.size   1   220.93 228.93
## + node.status  1   221.41 229.41
## - Grade        1   233.65 237.65
## Start:  AIC=240.59
## RFS.event ~ 1
## 
##               Df Deviance    AIC
## + Grade        1   220.11 224.11
## + ER           1   226.05 230.05
## <none>             238.59 240.59
## + tumor.size   1   237.52 241.52
## + node.status  1   238.44 242.44
## 
## Step:  AIC=224.11
## RFS.event ~ Grade
## 
##               Df Deviance    AIC
## + ER           1   215.54 221.54
## <none>             220.11 224.11
## + node.status  1   219.69 225.69
## + tumor.size   1   219.69 225.69
## - Grade        1   238.59 240.59
## 
## Step:  AIC=221.54
## RFS.event ~ Grade + ER
## 
##               Df Deviance    AIC
## <none>             215.54 221.54
## + tumor.size   1   215.04 223.04
## + node.status  1   215.12 223.12
## - ER           1   220.11 224.11
## - Grade        1   226.05 230.05
## Start:  AIC=240.59
## RFS.event ~ 1
## 
##               Df Deviance    AIC
## + Grade        1   221.34 225.34
## + ER           1   227.40 231.40
## + tumor.size   1   235.45 239.45
## <none>             238.59 240.59
## + node.status  1   238.32 242.32
## 
## Step:  AIC=225.34
## RFS.event ~ Grade
## 
##               Df Deviance    AIC
## + ER           1   216.14 222.14
## <none>             221.34 225.34
## + node.status  1   220.98 226.98
## + tumor.size   1   221.28 227.28
## - Grade        1   238.59 240.59
## 
## Step:  AIC=222.14
## RFS.event ~ Grade + ER
## 
##               Df Deviance    AIC
## <none>             216.14 222.14
## + node.status  1   215.63 223.63
## + tumor.size   1   216.05 224.05
## - ER           1   221.34 225.34
## - Grade        1   227.40 231.40
## Start:  AIC=237.77
## RFS.event ~ 1
## 
##               Df Deviance    AIC
## + Grade        1   216.81 220.81
## + ER           1   228.69 232.69
## <none>             235.77 237.77
## + tumor.size   1   234.23 238.23
## + node.status  1   235.62 239.62
## 
## Step:  AIC=220.81
## RFS.event ~ Grade
## 
##               Df Deviance    AIC
## <none>             216.81 220.81
## + ER           1   215.13 221.13
## + node.status  1   216.53 222.53
## + tumor.size   1   216.71 222.71
## - Grade        1   235.77 237.77

Make confusion table

confTab = table(tr.gDat$RFS.event, predR, dnn=c("RFS","predR"))

Sample penalized linear regression

Load data and the libraries

library(tidyverse)
## ── Attaching packages ────────────────────────────────────────────────────────────────── tidyverse 1.2.1 ──
## ✔ ggplot2 3.2.0     ✔ purrr   0.3.2
## ✔ tibble  2.1.3     ✔ dplyr   0.8.3
## ✔ tidyr   0.8.3     ✔ stringr 1.4.0
## ✔ readr   1.3.1     ✔ forcats 0.4.0
## Warning: package 'tibble' was built under R version 3.5.2
## Warning: package 'tidyr' was built under R version 3.5.2
## Warning: package 'purrr' was built under R version 3.5.2
## Warning: package 'dplyr' was built under R version 3.5.2
## Warning: package 'forcats' was built under R version 3.5.2
## ── Conflicts ───────────────────────────────────────────────────────────────────── tidyverse_conflicts() ──
## ✖ dplyr::filter() masks stats::filter()
## ✖ dplyr::lag()    masks stats::lag()
library(caret)
## Warning: package 'caret' was built under R version 3.5.2
## Loading required package: lattice
## 
## Attaching package: 'caret'
## The following object is masked from 'package:purrr':
## 
##     lift
library(glmnet)
## Warning: package 'glmnet' was built under R version 3.5.2
## Loading required package: Matrix
## Warning: package 'Matrix' was built under R version 3.5.2
## 
## Attaching package: 'Matrix'
## The following object is masked from 'package:tidyr':
## 
##     expand
## Loading required package: foreach
## 
## Attaching package: 'foreach'
## The following objects are masked from 'package:purrr':
## 
##     accumulate, when
## Loaded glmnet 2.0-18
## 
## Attaching package: 'glmnet'
## The following object is masked from 'package:pROC':
## 
##     auc
# Load the data
data("Boston", package = "MASS")
# Split the data into training and test set
set.seed(123)
training.samples <- Boston$medv %>%
  createDataPartition(p = 0.8, list = FALSE)
train.data  <- Boston[training.samples, ]
test.data <- Boston[-training.samples, ]

Build predictor

# Predictor variables
x <- model.matrix(medv~., train.data)[,-1]
# Outcome variable
y <- train.data$medv

Use glmnet function

glmnet(x, y, alpha = 1, lambda = NULL)
## 
## Call:  glmnet(x = x, y = y, alpha = 1, lambda = NULL) 
## 
##       Df    %Dev   Lambda
##  [1,]  0 0.00000 6.908000
##  [2,]  1 0.09343 6.294000
##  [3,]  2 0.18670 5.735000
##  [4,]  2 0.26620 5.225000
##  [5,]  2 0.33220 4.761000
##  [6,]  2 0.38700 4.338000
##  [7,]  2 0.43240 3.953000
##  [8,]  2 0.47020 3.602000
##  [9,]  2 0.50150 3.282000
## [10,]  3 0.53390 2.990000
## [11,]  3 0.56100 2.725000
## [12,]  3 0.58350 2.482000
## [13,]  3 0.60210 2.262000
## [14,]  3 0.61770 2.061000
## [15,]  3 0.63050 1.878000
## [16,]  3 0.64120 1.711000
## [17,]  3 0.65010 1.559000
## [18,]  3 0.65740 1.421000
## [19,]  3 0.66360 1.294000
## [20,]  4 0.66990 1.179000
## [21,]  4 0.67560 1.075000
## [22,]  4 0.68030 0.979100
## [23,]  4 0.68420 0.892200
## [24,]  4 0.68750 0.812900
## [25,]  5 0.69080 0.740700
## [26,]  5 0.69380 0.674900
## [27,]  6 0.69730 0.614900
## [28,]  7 0.70200 0.560300
## [29,]  7 0.70610 0.510500
## [30,]  8 0.70960 0.465200
## [31,]  8 0.71430 0.423800
## [32,]  8 0.71820 0.386200
## [33,]  8 0.72140 0.351900
## [34,] 10 0.72520 0.320600
## [35,] 11 0.72850 0.292100
## [36,] 11 0.73120 0.266200
## [37,] 11 0.73350 0.242500
## [38,] 11 0.73540 0.221000
## [39,] 11 0.73690 0.201400
## [40,] 11 0.73820 0.183500
## [41,] 12 0.73950 0.167200
## [42,] 12 0.74220 0.152300
## [43,] 12 0.74440 0.138800
## [44,] 12 0.74620 0.126500
## [45,] 12 0.74760 0.115200
## [46,] 12 0.74880 0.105000
## [47,] 12 0.74990 0.095660
## [48,] 12 0.75070 0.087160
## [49,] 12 0.75140 0.079420
## [50,] 12 0.75200 0.072370
## [51,] 12 0.75250 0.065940
## [52,] 12 0.75290 0.060080
## [53,] 12 0.75320 0.054740
## [54,] 12 0.75350 0.049880
## [55,] 12 0.75370 0.045450
## [56,] 12 0.75390 0.041410
## [57,] 12 0.75410 0.037730
## [58,] 12 0.75420 0.034380
## [59,] 12 0.75430 0.031330
## [60,] 12 0.75440 0.028540
## [61,] 12 0.75450 0.026010
## [62,] 12 0.75460 0.023700
## [63,] 12 0.75460 0.021590
## [64,] 12 0.75460 0.019670
## [65,] 12 0.75470 0.017930
## [66,] 12 0.75470 0.016330
## [67,] 12 0.75470 0.014880
## [68,] 12 0.75480 0.013560
## [69,] 12 0.75480 0.012360
## [70,] 12 0.75480 0.011260
## [71,] 12 0.75480 0.010260
## [72,] 12 0.75480 0.009346
## [73,] 12 0.75480 0.008516
## [74,] 12 0.75480 0.007760

Choose lambda

# Find the best lambda using cross-validation
set.seed(123) 
cv <- cv.glmnet(x, y, alpha = 0)
# Display the best lambda value
cv$lambda.min
## [1] 0.6907672

Fit the model

# Fit the final model on the training data
model <- glmnet(x, y, alpha = 0, lambda = cv$lambda.min)
# Display regression coefficients
coef(model)
## 14 x 1 sparse Matrix of class "dgCMatrix"
##                        s0
## (Intercept)  29.172942853
## crim         -0.073961766
## zn            0.035006472
## indus        -0.055702961
## chas          2.485565613
## nox         -11.449222575
## rm            3.976849313
## age          -0.002944308
## dis          -1.221350102
## rad           0.147920742
## tax          -0.006358355
## ptratio      -0.869860292
## black         0.009399874
## lstat        -0.483051940

Predictions in test data

# Make predictions on the test data
x.test <- model.matrix(medv ~., test.data)[,-1]
predictions <- model %>% predict(x.test) %>% as.vector()
# Model performance metrics
data.frame(
  RMSE = RMSE(predictions, test.data$medv),
  Rsquare = R2(predictions, test.data$medv)
)

Find the lambda for cross-validation

# Find the best lambda using cross-validation
set.seed(123) 
cv <- cv.glmnet(x, y, alpha = 1)
# Display the best lambda value
cv$lambda.min
## [1] 0.007759554

Fit the final model on the training data

# Fit the final model on the training data
model <- glmnet(x, y, alpha = 1, lambda = cv$lambda.min)
# Dsiplay regression coefficients
coef(model)
## 14 x 1 sparse Matrix of class "dgCMatrix"
##                        s0
## (Intercept)  36.962374270
## crim         -0.092549948
## zn            0.048543171
## indus        -0.008321076
## chas          2.287418592
## nox         -16.832483690
## rm            3.810180182
## age           .          
## dis          -1.598716155
## rad           0.286797839
## tax          -0.012456750
## ptratio      -0.950997301
## black         0.009652895
## lstat        -0.528739166

Make predictions for the test data

# Make predictions on the test data
x.test <- model.matrix(medv ~., test.data)[,-1]
predictions <- model %>% predict(x.test) %>% as.vector()
# Model performance metrics
data.frame(
  RMSE = RMSE(predictions, test.data$medv),
  Rsquare = R2(predictions, test.data$medv)
)

Build the model

# Build the model using the training set
set.seed(123)
model <- train(
  medv ~., data = train.data, method = "glmnet",
  trControl = trainControl("cv", number = 10),
  tuneLength = 10
)
# Best tuning parameter
model$bestTune

Compare the coefficients

# Coefficient of the final model. You need
# to specify the best lambda
coef(model$finalModel, model$bestTune$lambda)
## 14 x 1 sparse Matrix of class "dgCMatrix"
##                         1
## (Intercept)  33.040831297
## crim         -0.078982571
## zn            0.041358040
## indus        -0.030932077
## chas          2.344430283
## nox         -14.304415843
## rm            3.908625770
## age           .          
## dis          -1.417832517
## rad           0.205637826
## tax          -0.008793739
## ptratio      -0.912137977
## black         0.009457469
## lstat        -0.517696368

Data set up and predictions

# Make predictions on the test data
x.test <- model.matrix(medv ~., test.data)[,-1]
predictions <- model %>% predict(x.test)
# Model performance metrics
data.frame(
  RMSE = RMSE(predictions, test.data$medv),
  Rsquare = R2(predictions, test.data$medv)
)

comparing different models with caret

lambda <- 10^seq(-3, 3, length = 100)

compute ridge

# Build the model
set.seed(123)
ridge <- train(
  medv ~., data = train.data, method = "glmnet",
  trControl = trainControl("cv", number = 10),
  tuneGrid = expand.grid(alpha = 0, lambda = lambda)
  )
# Model coefficients
coef(ridge$finalModel, ridge$bestTune$lambda)
## 14 x 1 sparse Matrix of class "dgCMatrix"
##                         1
## (Intercept)  29.121492610
## crim         -0.073610742
## zn            0.035141041
## indus        -0.055374540
## chas          2.482740701
## nox         -11.346836878
## rm            3.972188854
## age          -0.002762851
## dis          -1.219482977
## rad           0.147552973
## tax          -0.006384982
## ptratio      -0.868638681
## black         0.009411196
## lstat        -0.484146579
# Make predictions
predictions <- ridge %>% predict(test.data)
# Model prediction performance
data.frame(
  RMSE = RMSE(predictions, test.data$medv),
  Rsquare = R2(predictions, test.data$medv)
)

Compute lasso

# Build the model
set.seed(123)
lasso <- train(
  medv ~., data = train.data, method = "glmnet",
  trControl = trainControl("cv", number = 10),
  tuneGrid = expand.grid(alpha = 1, lambda = lambda)
  )
## Warning in nominalTrainWorkflow(x = x, y = y, wts = weights, info =
## trainInfo, : There were missing values in resampled performance measures.
# Model coefficients
coef(lasso$finalModel, lasso$bestTune$lambda)
## 14 x 1 sparse Matrix of class "dgCMatrix"
##                        1
## (Intercept)  35.10728348
## crim         -0.08200262
## zn            0.04450716
## indus        -0.01018598
## chas          2.24634985
## nox         -15.67089999
## rm            3.86564430
## age           .         
## dis          -1.50738293
## rad           0.24404459
## tax          -0.01068364
## ptratio      -0.93304025
## black         0.00946234
## lstat        -0.53072789
# Make predictions
predictions <- lasso %>% predict(test.data)
# Model prediction performance
data.frame(
  RMSE = RMSE(predictions, test.data$medv),
  Rsquare = R2(predictions, test.data$medv)
)

Elastic net regression

# Build the model
set.seed(123)
elastic <- train(
  medv ~., data = train.data, method = "glmnet",
  trControl = trainControl("cv", number = 10),
  tuneLength = 10
  )
# Model coefficients
coef(elastic$finalModel, elastic$bestTune$lambda)
## 14 x 1 sparse Matrix of class "dgCMatrix"
##                         1
## (Intercept)  33.040831297
## crim         -0.078982571
## zn            0.041358040
## indus        -0.030932077
## chas          2.344430283
## nox         -14.304415843
## rm            3.908625770
## age           .          
## dis          -1.417832517
## rad           0.205637826
## tax          -0.008793739
## ptratio      -0.912137977
## black         0.009457469
## lstat        -0.517696368
# Make predictions
predictions <- elastic %>% predict(test.data)
# Model prediction performance
data.frame(
  RMSE = RMSE(predictions, test.data$medv),
  Rsquare = R2(predictions, test.data$medv)
)

Comparing models

models <- list(ridge = ridge, lasso = lasso, elastic = elastic)
resamples(models) %>% summary( metric = "RMSE")
## 
## Call:
## summary.resamples(object = ., metric = "RMSE")
## 
## Models: ridge, lasso, elastic 
## Number of resamples: 10 
## 
## RMSE 
##             Min.  1st Qu.   Median     Mean  3rd Qu.     Max. NA's
## ridge   3.101448 3.956282 4.375956 4.729206 5.521857 7.429151    0
## lasso   3.159487 4.025593 4.387946 4.725619 5.514033 7.269198    0
## elastic 3.127576 4.001460 4.372290 4.721808 5.521681 7.323973    0

Build the model