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Data:
21 16 19 18 16 23 17 12 19 16 19 20 13 20 27 17 8 25 26 13 19 15 5 16 14 24 24 9 19 19 25 19 18 15 12 21 12 15 28 25 19 20 24 26 25 12 12 15 17 14 16 11 20 11 22 20 19 17 21 23 18 17 27 25 19 22 24 20 19 11 22 22 16 20 24 16 16 22 24 16 27 11 21 20 20 27 20 12 8 21 18 24 16 18 20 20 19 17 16 26 15 22 17 23 21 19 14 17 12 24 18 20 16 20 22 12 16 17 22 12 14 23 15 17 28 20 23 13 18 23 19 23 12 16 23 13 22 18 23 20 10 17 18 15 23 17 17 22 20 20 19 18 22 20 22 18 16 16 16 16 17 18

Type of transformation


Minimum lambda


Maximum lambda


Constant term to be added before analysis is performed (?)


Display table with original and transformed data?


Chart options



R Code
n <- length(x) c <- array(NA,dim=c(401)) l <- array(NA,dim=c(401)) mx <- 0 mxli <- -999 for (i in 1:401) { l[i] <- (i-201)/100 if (l[i] != 0) { x1 <- (x^l[i] - 1) / l[i] } else { x1 <- log(x) } c[i] <- cor(qnorm(ppoints(x), mean=0, sd=1),x1) if (mx < c[i]) { mx <- c[i] mxli <- l[i] } } c mx mxli if (mxli != 0) { x1 <- (x^mxli - 1) / mxli } else { x1 <- log(x) } bitmap(file='test1.png') plot(l,c,main='Box-Cox Normality Plot',xlab='Lambda',ylab='correlation') mtext(paste('Optimal Lambda =',mxli)) grid() dev.off() bitmap(file='test2.png') hist(x,main='Histogram of Original Data',xlab='X',ylab='frequency') grid() dev.off() bitmap(file='test3.png') hist(x1,main='Histogram of Transformed Data',xlab='X',ylab='frequency') grid() dev.off() bitmap(file='test4.png') qqnorm(x) qqline(x) grid() mtext('Original Data') dev.off() bitmap(file='test5.png') qqnorm(x1) qqline(x1) grid() mtext('Transformed Data') dev.off() load(file='createtable') a<-table.start() a<-table.row.start(a) a<-table.element(a,'Box-Cox Normality Plot',2,TRUE) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'# observations x',header=TRUE) a<-table.element(a,n) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'maximum correlation',header=TRUE) a<-table.element(a,mx) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'optimal lambda',header=TRUE) a<-table.element(a,mxli) a<-table.row.end(a) a<-table.end(a) table.save(a,file='mytable.tab')

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	0 seconds
R Server	Big Analytics Cloud Computing Center