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box cox normal plot

*The author of this computation has been verified*
R Software Module: rwasp_boxcoxnorm.wasp (opens new window with default values)
Title produced by software: Box-Cox Normality Plot
Date of computation: Thu, 13 Nov 2008 01:38:29 -0700
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2008/Nov/13/t1226565568n4oiupkoc86o5af.htm/, Retrieved Thu, 13 Nov 2008 08:39:28 +0000
 
BibTeX entries for LaTeX users:
@Manual{KEY,
    author = {{YOUR NAME}},
    publisher = {Office for Research Development and Education},
    title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2008/Nov/13/t1226565568n4oiupkoc86o5af.htm/},
    year = {2008},
}
@Manual{R,
    title = {R: A Language and Environment for Statistical Computing},
    author = {{R Development Core Team}},
    organization = {R Foundation for Statistical Computing},
    address = {Vienna, Austria},
    year = {2008},
    note = {{ISBN} 3-900051-07-0},
    url = {http://www.R-project.org},
}
 
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
 
Feedback Forum:

Post a new message
 
Original text written by user:
 
IsPrivate?
No (this computation is public)
 
User-defined keywords:
natalie en evelyn
 
Dataseries X:
» Textbox « » Textfile « » CSV «
3.253 11.836 345 6.06 519164 3.233 11.85 334 5.983 517009 3.196 11.897 345 6.11 509933 3.138 12.082 333 6.143 509127 3.091 11.936 336 6.093 500857 3.17 11.928 324 6.148 506971 3.378 12.646 320 6.464 569323 3.468 12.747 330 6.532 579714 3.33 12.447 313 6.321 577992 3.413 12.445 301 6.23 565464 3.356 12.257 288 6.176 547344 3.525 12.878 294 6.338 554788 3.633 13.69 302 6.462 562325 3.597 13.665 294 6.401 560854 3.6 13.78 293 6.46 555332 3.522 13.608 290 6.519 543599 3.503 13.375 283 6.542 536662 3.532 13.376 286 6.637 542722 3.686 13.918 293 7.114 593530 3.748 14.304 334 7.579 610763 3.672 13.877 329 7.408 612613 3.843 14.543 411 8.243 611324 3.905 14.291 416 8.243 594167 3.999 14.788 418 8.434 595454 4.07 15.241 408 8.576 590865 4.084 15.265 402 8.58 589379 4.042 15.322 401 8.645 584428 3.951 15.175 400 8.66 573100 3.933 14.817 389 8.72 567456 3.958 14.579 371 8.787 569028 4.147 15.247 364 9.162 620735 4.221 15.385 350 9.144 628884 4.058 14.891 332 8.806 628232 4.057 14.766 323 8.778 612117 4.089 14.42 316 8.66 595404 4.268 14.85 312 8.826 597141 4.309 15.117 315 8.609 593408 4.303 15.352 314 8.628 590072 4.177 15.099 313 8.619 579799 4.117 15.291 314 8.775 574205 4.065 15.208 317 8.84 572775 3.983 14.995 308 8.745 572942 4.091 15.454 312 9.092 619567 4.067 15.251 306 8.934 625809 4.024 14.975 304 8.749 619916 3.868 14.005 297 8.298 587625 3.8 13.55 284 8.067 565742 3.804 13.422 278 7.969 557274 3.862 13.848 273 7.999 560576 3.792 13.376 265 7.865 548854 3.674 13.038 259 7.746 531673 3.56 12.974 252 7.633 525919 3.489 12.554 245 7.458 511038 3.412 11.971 235 7.391 498662 3.674 12.916 232 7.856 555362 3.672 12.757 229 7.72 564591 3.463 11.924 219 7.297 541657 3.429 11.693 218 7.123 527070 3.4 11.382 215 7.004 509846 3.533 11.821 211 7.151 514258
 
Output produced by software:


Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135
 
Charts produced by software:
 
Parameters (Session):
 
Parameters (R input):
 
R code (references can be found in the software module):
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')
 





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Software written by Ed van Stee & Patrick Wessa


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