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Data:
89.28 89.47 89.53 90.72 90.91 91.38 91.49 90.9 90.93 90.57 91.28 90.83 91.5 91.58 92.49 94.16 95.46 95.8 95.32 95.41 95.35 95.68 95.59 94.96 96.92 96.06 96.59 96.67 97.27 96.38 96.47 96.05 96.76 96.51 96.55 95.97 97 97.46 97.9 98.42 98.54 99 98.94 99.02 100.07 98.72 98.73 98.04 99.08 99.22 99.57 100.44 100.84 100.75 100.49 99.98 99.96 99.76 100.11 99.79 100.29 101.12 102.65 102.71 103.39 102.8 102.07 102.15 101.21 101.27 101.86 101.65 101.94 102.62 102.71 103.39 104.51 104.09 104.29 104.57 105.39 105.15 106.13 105.46 106.47 106.62 106.52 108.04 107.15 107.32 107.76 107.26 107.89
Type of transformation
Full Box-Cox transform
Simple Box-Cox transform
Minimum lambda
-2
-8
-7
-6
-5
-4
-3
-2
-1
Maximum lambda
2
1
2
3
4
5
6
7
8
Constant term to be added before analysis is performed
(?)
Display table with original and transformed data?
No
Yes
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) grid() mtext('Original Data') dev.off() bitmap(file='test5.png') qqnorm(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')
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Summary of computational transaction
Raw Input
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Raw Output
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Computing time
0 seconds
R Server
Big Analytics Cloud Computing Center
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