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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_boxcoxnorm.wasp
Title produced by softwareBox-Cox Normality Plot
Date of computationWed, 17 Dec 2014 09:59:02 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Dec/17/t1418810417gcuqqsw3qqfbti1.htm/, Retrieved Thu, 16 May 2024 05:45:56 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=270014, Retrieved Thu, 16 May 2024 05:45:56 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact120
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Maximum-likelihood Fitting - Normal Distribution] [Histogram andFitt...] [2014-12-08 11:44:17] [9ecaa0fefb0ae88b4782d69916cabb9e]
- RM D  [Box-Cox Normality Plot] [Normal Q-Q Plot I...] [2014-12-08 14:55:49] [9ecaa0fefb0ae88b4782d69916cabb9e]
-   PD      [Box-Cox Normality Plot] [Normal QQ-Plot] [2014-12-17 09:59:02] [10320d42b3a1ca1321e6e126fa928a8a] [Current]
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Dataseries X:
10
4
5
4
4
4
6
4
8
5
4
17
4
4
8
4
7
4
4
5
7
4
4
7
11
7
4
4
4
4
4
4
6
8
23
4
8
6
4
4
7
4
4
4
4
10
6
5
5
4
4
5
5
5
5
4
6
4
4
4
9
18
6
5
4
11
4
10
6
8
8
6
8
4
4
9
9
5
4
4
15
10
9
7
9
6
4
7
4
7
4
15
4
9
4
4
28
4
4
4
5
4
4
12
5
4
6
6
5
4
4
4
10
7
4
4
7
4
4
12
5
8
6
17
4
5
4
5
5
6
4
4
4
6
8
10
4
5
4
4
4
16
4
7
4
4
14
5
5
5
5
7
19
16
4
4
7
9
5
14
4
16
10
5
6
4
4
4
5
4
4
5
4
4
5
8
15
7
5
8
8
5
4
4
11
5
22
4
4
4
5
4
16
5
4
6
5
4
4
4
7
4
8
7
4
6
5
8
8
4
7
4
13
4
4
4
4
7
5
4
5
12
8
4
4
8
5
4
4
7
5
13
4
4
4
6
4
4
4
4
4
5
6
4
4
4
6
9
5
6
13
4
7
5
4
4
4
6
6
8
6
5
9
6
4
9
4
4
4
5
4
4
4
5
5
8
4
4
9
4
4
4
4
4
4
4
4
4
4
4
4
4
5
8
7
4
4
4
5
5
6
12
5
9
12
4
16
4
5
4
4
6
4
4
5
6
5
6
4
4
7
9
5
5
4
4
12
4
6
9
4
5
4
4
4
4
4
11
4
6
4
5
4
4
6
4
7
9
5
14
4
4
4
5
4
4
9
4
4
10
4
4
6
4
9
5
4
5
14
9
4
4
17
4
5
9
7
4
5
7
10
5
4
8
4
4
6




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Sir Maurice George Kendall' @ kendall.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 4 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270014&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270014&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270014&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Sir Maurice George Kendall' @ kendall.wessa.net







Box-Cox Normality Plot
# observations x387
maximum correlation-0.0277629790672469
optimal lambda-2
Warning: maximum correlation is negative! The Box-Cox transformation must not be used.

\begin{tabular}{lllllllll}
\hline
Box-Cox Normality Plot \tabularnewline
# observations x & 387 \tabularnewline
maximum correlation & -0.0277629790672469 \tabularnewline
optimal lambda & -2 \tabularnewline
Warning: maximum correlation is negative! The Box-Cox transformation must not be used. \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270014&T=1

[TABLE]
[ROW][C]Box-Cox Normality Plot[/C][/ROW]
[ROW][C]# observations x[/C][C]387[/C][/ROW]
[ROW][C]maximum correlation[/C][C]-0.0277629790672469[/C][/ROW]
[ROW][C]optimal lambda[/C][C]-2[/C][/ROW]
[ROW][C]Warning: maximum correlation is negative! The Box-Cox transformation must not be used.[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270014&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270014&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Box-Cox Normality Plot
# observations x387
maximum correlation-0.0277629790672469
optimal lambda-2
Warning: maximum correlation is negative! The Box-Cox transformation must not be used.



Parameters (Session):
par1 = Full Box-Cox transform ; par2 = -2 ; par3 = 2 ; par4 = 0 ; par5 = No ;
Parameters (R input):
par1 = Full Box-Cox transform ; par2 = -2 ; par3 = 2 ; par4 = 0 ; par5 = No ;
R code (references can be found in the software module):
par2 <- abs(as.numeric(par2)*100)
par3 <- as.numeric(par3)*100
if(par4=='') par4 <- 0
par4 <- as.numeric(par4)
numlam <- par2 + par3 + 1
x <- x + par4
n <- length(x)
c <- array(NA,dim=c(numlam))
l <- array(NA,dim=c(numlam))
mx <- -1
mxli <- -999
for (i in 1:numlam)
{
l[i] <- (i-par2-1)/100
if (l[i] != 0)
{
if (par1 == 'Full Box-Cox transform') x1 <- (x^l[i] - 1) / l[i]
if (par1 == 'Simple Box-Cox transform') x1 <- x^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]
x1.best <- x1
}
}
c
mx
mxli
x1.best
if (mxli != 0)
{
if (par1 == 'Full Box-Cox transform') x1 <- (x^mxli - 1) / mxli
if (par1 == 'Simple Box-Cox transform') x1 <- x^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)
if(mx<0) {
a<-table.row.start(a)
a<-table.element(a,'Warning: maximum correlation is negative! The Box-Cox transformation must not be used.',2)
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
if(par5=='Yes') {
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Obs.',header=T)
a<-table.element(a,'Original',header=T)
a<-table.element(a,'Transformed',header=T)
a<-table.row.end(a)
for (i in 1:n) {
a<-table.row.start(a)
a<-table.element(a,i)
a<-table.element(a,x[i])
a<-table.element(a,x1.best[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
}