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20.45 0 1 0 1 0 0 0 1 0 0 1 0 0 20.35 0 1 0 0 0 0 1 1 1 0 0 1 1 86.2 0 1 0 0 0 1 0 1 1 1 0 0 1 95.65 0 0 0 0 0 1 0 1 1 1 0 0 1 103.8 0 0 0 0 0 0 0 1 1 0 1 0 1 97.2 0 1 0 0 0 0 0 1 0 0 1 0 0 63.55 0 1 0 0 0 0 1 1 0 0 1 0 0 24.95 1 1 1 0 0 1 0 1 1 0 0 1 1 89.15 0 1 0 0 0 0 0 1 1 0 1 0 1 99 1 1 1 1 0 0 0 0 0 0 0 1 1 24.8 0 0 1 0 0 0 0 1 0 1 0 0 1 85.55 0 1 0 0 1 0 0 1 1 0 0 1 1 94 1 0 0 0 0 0 0 1 1 1 0 0 1 105.65 0 1 0 0 1 0 0 1 0 0 0 1 1 50.3 0 1 0 0 0 0 1 1 1 1 0 0 1 95 0 0 0 0 1 0 0 1 0 0 1 0 1 61.4 0 0 1 0 1 0 0 1 0 0 0 1 1 80.55 0 1 1 0 0 0 0 1 0 0 1 0 0 78.5 0 0 0 0 0 0 0 1 1 0 1 0 0 114.3 0 1 0 0 0 1 0 1 0 0 1 0 0 20.05 0 0 0 0 0 0 0 1 0 0 1 0 0 62.65 1 0 0 0 1 0 0 1 0 0 0 1 1 80.85 0 0 1 0 0 0 0 1 1 0 1 0 1 92.7 0 1 0 0 0 1 0 1 1 0 0 1 0 100.45 0 0 0 0 0 0 1 1 1 0 1 0 1 75.2 0 1 0 0 0 1 0 1 0 0 0 1 1 84.75 1 1 0 1 0 0 0 1 1 0 0 1 0 89.45 0 1 0 0 0 0 0 1 0 0 1 0 1 79.5 1 0 0 1 0 0 0 1 1 0 0 1 1 72.15 0 1 0 0 0 1 0 1 0 1 0 0 1 19.8 1 1 0 1 0 0 0 1 1 0 0 1 0 76.4 0 0 0 0 0 0 1 1 1 1 0 0 1 100.9 0 0 0 0 0 1 0 1 0 0 0 1 1 95.3 0 1 0 0 0 1 0 1 0 1 0 0 0 90.95 0 1 0 1 0 0 0 1 0 0 0 1 0 54.5 1 1 1 0 1 0 0 1 0 0 0 1 1 61.6 1 0 0 1 0 0 0 1 0 0 0 1 1 79.9 1 0 1 0 0 1 0 1 1 0 0 1 1 96.15 0 1 0 0 1 0 0 1 0 0 0 1 1 49.6 1 1 0 0 0 0 0 1 0 0 1 0 0 65.3 0 1 0 0 0 0 0 1 0 0 1 0 1 25 0 0 0 0 0 1 0 1 0 0 0 1 0 45.45 0 0 0 0 0 1 0 1 1 0 0 1 1 107.75 0 0 0 0 0 0 0 1 1 0 1 0 1 89.1 1 0 0 1 0 0 0 1 0 0 0 1 0 19.65 0 1 0 1 0 0 0 1 0 0 0 1 0 44.75 0 1 0 0 0 1 0 1 0 1 0 0 1 101.6 0 0 0 0 0 0 0 1 1 0 1 0 0 103.15 1 0 0 1 0 0 0 1 1 0 0 1 1 84.65 0 1 0 0 0 0 0 1 1 1 0 0 0 95.65 0 1 0 0 0 1 0 1 1 1 0 0 0 75.1 0 0 0 0 0 0 1 1 0 0 1 0 1 61.35 1 1 1 1 0 0 0 1 0 0 0 1 1 69.55 0 1 0 1 0 0 0 1 0 0 0 1 0 19.7 1 1 0 0 1 0 0 0 0 0 0 1 1 31.05 0 1 0 1 0 0 0 1 0 0 0 1 0 51 1 0 0 1 0 0 0 1 0 0 0 1 1 51 0 1 0 1 0 0 0 1 1 0 0 1 1 88.85 0 0 0 0 0 1 0 1 0 0 1 0 0 20.05 0 1 0 0 0 0 0 1 0 0 1 0 1 65.1 0 0 0 0 0 0 0 1 0 1 0 0 1 70.15 1 1 0 1 0 0 0 1 0 0 0 1 1 44.35 0 0 0 0 0 1 0 1 0 0 1 0 1 20.75 0 1 0 0 0 1 0 1 0 1 0 0 1 56.05 0 0 0 1 0 0 0 1 0 1 0 0 1 19.95 0 1 0 0 0 0 1 1 1 1 0 0 0 98.6 1 1 0 1 0 0 0 1 1 0 0 1 1 79.7 0 0 0 0 0 1 0 1 0 0 0 1 1 79 0 1 1 0 0 0 0 1 0 0 1 0 0 89.45 0 1 0 0 0 1 0 1 0 0 0 1 1 74.2 0 0 0 0 1 0 0 1 1 0 0 1 0 81 0 0 0 0 1 0 0 1 0 0 0 1 1 49.6 0 1 0 1 0 0 0 1 1 0 0 1 1 84.6 1 0 0 0 0 0 1 1 0 0 0 1 1 55 1 1 1 1 0 0 0 1 1 0 0 1 1 84.85 0 1 0 0 0 0 0 1 1 0 1 0 1 84.2 0 0 0 0 0 0 1 1 1 0 1 0 1 106.3 0 1 0 1 0 0 0 1 0 0 0 1 0 69.05 0 1 0 1 0 0 0 1 0 0 0 1 1 45.4 1 0 1 1 0 0 0 1 0 0 0 1 1 73.65 1 0 0 0 0 1 0 1 1 1 0 0 1 73.9 1 1 0 0 0 0 1 1 0 0 0 1 1 77.75 0 0 0 0 0 0 0 1 1 0 1 0 1 99.35 0 0 0 1 0 0 0 1 0 0 0 1 1 50.75 0 0 0 0 0 0 1 1 1 0 1 0 0 87.1 0 0 0 0 0 1 0 1 0 1 0 0 1 20.15 0 0 1 0 0 1 0 1 1 1 0 0 1 98.7 0 1 0 1 0 0 0 0 0 0 0 1 0 25.2 0 0 0 1 0 0 0 1 0 0 0 1 1 55.7 0 0 0 0 1 0 0 1 1 0 0 1 0 65.35 0 1 0 0 0 0 0 1 0 0 1 0 1 25.3 1 1 1 1 0 0 0 1 0 0 0 1 1 84.35 1 1 0 1 0 0 0 1 1 0 0 1 0 84.95 1 0 0 1 0 0 0 1 0 0 0 1 1 73.85 0 0 0 0 0 1 0 1 0 0 1 0 0 24.25 1 0 0 0 0 0 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0 0 1 1 89.8 0 1 0 0 1 0 0 1 0 0 0 1 1 20.55 0 1 0 1 0 0 0 1 0 0 0 1 0 64.05 0 0 1 1 0 0 0 1 0 0 0 1 1 74.85 1 1 0 0 1 0 0 1 1 0 0 1 1 96.65 1 0 1 1 0 0 0 1 0 0 0 1 0 20.05 1 1 0 0 0 1 0 1 1 0 0 1 1 103.45 0 0 0 1 0 0 0 0 0 0 0 1 0 25 0 0 0 0 0 0 1 1 0 0 1 0 0 20.3 0 0 0 1 0 0 0 1 0 0 0 1 0 26.35 1 1 0 1 0 0 0 1 0 0 0 1 1 19.9 0 1 0 0 1 0 0 1 0 0 0 1 1 54.7 1 0 0 0 1 0 0 0 1 0 0 1 0 46.35 0 0 0 0 0 0 0 1 0 1 0 0 0 90.25 1 0 0 1 0 0 0 1 0 0 0 1 0 19.95 0 0 0 1 0 0 0 1 0 0 0 1 0 20.65 1 0 0 1 0 0 0 1 0 0 0 1 0 79.6 0 0 0 0 0 1 0 1 0 1 0 0 0 25.45 0 1 0 0 1 0 0 1 0 1 0 0 0 19.5 1 0 0 1 0 0 0 1 0 0 0 1 1 75.9 1 0 0 1 0 0 0 1 0 0 0 1 0 76.2 0 0 0 0 0 0 0 1 1 1 0 0 1 66.15 1 0 0 1 0 0 0 1 0 0 0 1 0 19.25 0 1 0 0 0 1 0 1 1 0 0 1 1 69.1 0 1 1 0 0 1 0 0 0 1 0 0 1 39.1 0 1 0 0 0 1 0 1 0 0 0 1 0 20.05 0 0 0 0 0 1 0 1 0 1 0 0 0 59.8 1 1 0 0 0 1 0 1 0 0 0 1 1 84.3 0 1 0 1 0 0 0 1 0 0 0 1 1 48.6 1 1 0 1 0 0 0 1 1 0 0 1 1 79 0 0 1 0 0 0 0 1 1 0 1 0 0 105.35 0 0 0 0 0 0 0 1 0 0 1 0 1 25.1 0 0 0 1 0 0 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0 1 0 0 0 1 0 1 1 1 0 0 1 104.05 0 1 0 0 0 1 0 1 0 0 1 0 0 52.85 1 1 1 0 0 1 0 1 1 0 0 1 1 104.3 0 0 0 0 0 0 1 1 0 0 0 1 0 80.65 1 0 0 1 0 0 0 1 0 0 0 1 1 71.35 0 1 0 0 1 0 0 1 0 0 1 0 1 24.65 0 1 0 0 0 1 0 1 0 0 1 0 1 21.3 0 1 0 0 0 0 0 1 1 0 1 0 1 110.2 1 1 0 0 1 0 0 1 0 0 0 1 0 89.4 0 1 0 0 0 1 0 1 0 0 0 1 0 51.05 0 0 0 0 0 0 0 1 0 0 1 0 1 19.8 0 1 0 1 0 0 0 1 0 0 0 1 1 19.9 0 0 1 0 1 0 0 1 0 0 0 1 1 87.3 0 1 0 0 0 0 0 1 0 0 1 0 0 19.85 0 0 0 0 0 0 0 1 1 0 1 0 1 89.4 0 1 0 0 0 1 0 1 0 0 1 0 0 20 0 0 0 1 0 0 0 1 0 0 0 1 0 20.05 0 0 0 0 1 0 0 1 1 0 0 1 0 83.25 1 0 0 1 0 0 0 1 0 0 0 1 0 20.6 0 0 1 0 0 0 0 1 1 0 1 0 0 102.9 0 0 0 0 0 0 0 0 0 0 1 0 0 39.1 1 0 0 0 1 0 0 1 1 0 0 1 1 99.95 0 0 1 0 0 0 0 1 1 0 1 0 1 114.5 0 1 1 0 0 1 0 1 0 0 1 0 0 20.2 0 0 1 0 0 1 0 1 0 1 0 0 0 55.8 0 1 0 0 0 0 0 1 0 0 1 0 1 24.2 1 1 0 1 0 0 0 1 0 0 0 1 1 81 0 0 0 0 0 1 0 1 1 1 0 0 1 72.8 0 1 0 0 1 0 0 1 1 0 0 1 1 99.85
Names of X columns:
churn gender SeniorCitizen tenure0_12 tenure12_24 tenure24_48 tenure48_60 PhoneService StreamingTV Contract1year Contract2year MontlyContract paperless MonthlyCharges
Chart options
R Code
library(brglm) roc.plot <- function (sd, sdc, newplot = TRUE, ...) { sall <- sort(c(sd, sdc)) sens <- 0 specc <- 0 for (i in length(sall):1) { sens <- c(sens, mean(sd >= sall[i], na.rm = T)) specc <- c(specc, mean(sdc >= sall[i], na.rm = T)) } if (newplot) { plot(specc, sens, xlim = c(0, 1), ylim = c(0, 1), type = 'l', xlab = '1-specificity', ylab = 'sensitivity', main = 'ROC plot', ...) abline(0, 1) } else lines(specc, sens, ...) npoints <- length(sens) area <- sum(0.5 * (sens[-1] + sens[-npoints]) * (specc[-1] - specc[-npoints])) lift <- (sens - specc)[-1] cutoff <- sall[lift == max(lift)][1] sensopt <- sens[-1][lift == max(lift)][1] specopt <- 1 - specc[-1][lift == max(lift)][1] list(area = area, cutoff = cutoff, sensopt = sensopt, specopt = specopt) } roc.analysis <- function (object, newdata = NULL, newplot = TRUE, ...) { if (is.null(newdata)) { sd <- object$fitted[object$y == 1] sdc <- object$fitted[object$y == 0] } else { sd <- predict(object, newdata, type = 'response')[newdata$y == 1] sdc <- predict(object, newdata, type = 'response')[newdata$y == 0] } roc.plot(sd, sdc, newplot, ...) } hosmerlem <- function (y, yhat, g = 10) { cutyhat <- cut(yhat, breaks = quantile(yhat, probs = seq(0, 1, 1/g)), include.lowest = T) obs <- xtabs(cbind(1 - y, y) ~ cutyhat) expect <- xtabs(cbind(1 - yhat, yhat) ~ cutyhat) chisq <- sum((obs - expect)^2/expect) P <- 1 - pchisq(chisq, g - 2) c('X^2' = chisq, Df = g - 2, 'P(>Chi)' = P) } x <- as.data.frame(t(y)) r <- brglm(x) summary(r) rc <- summary(r)$coeff try(hm <- hosmerlem(y[1,],r$fitted.values),silent=T) try(hm,silent=T) bitmap(file='test0.png') ra <- roc.analysis(r) dev.off() te <- array(0,dim=c(2,99)) for (i in 1:99) { threshold <- i / 100 numcorr1 <- 0 numfaul1 <- 0 numcorr0 <- 0 numfaul0 <- 0 for (j in 1:length(r$fitted.values)) { if (y[1,j] > 0.99) { if (r$fitted.values[j] >= threshold) numcorr1 = numcorr1 + 1 else numfaul1 = numfaul1 + 1 } else { if (r$fitted.values[j] < threshold) numcorr0 = numcorr0 + 1 else numfaul0 = numfaul0 + 1 } } te[1,i] <- numfaul1 / (numfaul1 + numcorr1) te[2,i] <- numfaul0 / (numfaul0 + numcorr0) } bitmap(file='test1.png') op <- par(mfrow=c(2,2)) plot((1:99)/100,te[1,],xlab='Threshold',ylab='Type I error', main='1 - Specificity') plot((1:99)/100,te[2,],xlab='Threshold',ylab='Type II error', main='1 - Sensitivity') plot(te[1,],te[2,],xlab='Type I error',ylab='Type II error', main='(1-Sens.) vs (1-Spec.)') plot((1:99)/100,te[1,]+te[2,],xlab='Threshold',ylab='Sum of Type I & II error', main='(1-Sens.) + (1-Spec.)') par(op) dev.off() load(file='createtable') a<-table.start() a<-table.row.start(a) a<-table.element(a,'Coefficients of Bias-Reduced Logistic Regression',5,TRUE) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'Variable',header=TRUE) a<-table.element(a,'Parameter',header=TRUE) a<-table.element(a,'S.E.',header=TRUE) a<-table.element(a,'t-stat',header=TRUE) a<-table.element(a,'2-sided p-value',header=TRUE) a<-table.row.end(a) for (i in 1:length(rc[,1])) { a<-table.row.start(a) a<-table.element(a,labels(rc)[[1]][i],header=TRUE) a<-table.element(a,rc[i,1]) a<-table.element(a,rc[i,2]) a<-table.element(a,rc[i,3]) a<-table.element(a,2*(1-pt(abs(rc[i,3]),r$df.residual))) a<-table.row.end(a) } a<-table.end(a) table.save(a,file='mytable.tab') a<-table.start() a<-table.row.start(a) a<-table.element(a,'Summary of Bias-Reduced Logistic Regression',2,TRUE) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'Deviance',1,TRUE) a<-table.element(a,r$deviance) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'Penalized deviance',1,TRUE) a<-table.element(a,r$penalized.deviance) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'Residual Degrees of Freedom',1,TRUE) a<-table.element(a,r$df.residual) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'ROC Area',1,TRUE) a<-table.element(a,ra$area) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'Hosmer–Lemeshow test',2,TRUE) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'Chi-square',1,TRUE) phm <- array('NA',dim=3) for (i in 1:3) { try(phm[i] <- hm[i],silent=T) } a<-table.element(a,phm[1]) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'Degrees of Freedom',1,TRUE) a<-table.element(a,phm[2]) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'P(>Chi)',1,TRUE) a<-table.element(a,phm[3]) a<-table.row.end(a) a<-table.end(a) table.save(a,file='mytable1.tab') a<-table.start() a<-table.row.start(a) a<-table.element(a,'Fit of Logistic Regression',4,TRUE) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'Index',1,TRUE) a<-table.element(a,'Actual',1,TRUE) a<-table.element(a,'Fitted',1,TRUE) a<-table.element(a,'Error',1,TRUE) a<-table.row.end(a) for (i in 1:length(r$fitted.values)) { a<-table.row.start(a) a<-table.element(a,i,1,TRUE) a<-table.element(a,y[1,i]) a<-table.element(a,r$fitted.values[i]) a<-table.element(a,y[1,i]-r$fitted.values[i]) a<-table.row.end(a) } a<-table.end(a) table.save(a,file='mytable2.tab') a<-table.start() a<-table.row.start(a) a<-table.element(a,'Type I & II errors for various threshold values',3,TRUE) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'Threshold',1,TRUE) a<-table.element(a,'Type I',1,TRUE) a<-table.element(a,'Type II',1,TRUE) a<-table.row.end(a) for (i in 1:99) { a<-table.row.start(a) a<-table.element(a,i/100,1,TRUE) a<-table.element(a,te[1,i]) a<-table.element(a,te[2,i]) a<-table.row.end(a) } a<-table.end(a) table.save(a,file='mytable3.tab')
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