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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_boxcoxnorm.wasp
Title produced by softwareBox-Cox Normality Plot
Date of computationSat, 23 Feb 2008 13:57:33 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Feb/23/t12038003776610pjl14ix3c6z.htm/, Retrieved Mon, 13 May 2024 23:53:23 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=8605, Retrieved Mon, 13 May 2024 23:53:23 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact194

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Box-Cox Normality Plot] [HCH Salicortin] [2008-02-23 20:57:33] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1.9
3
6
7.9
8
8.3
9
9.4
9.9
10
10.2
10.6
10.8
10.9
11
11.1
11.1
11.3
11.3
11.5
11.6
11.6
11.7
11.8
11.8
12.2
12.4
12.6
12.7
12.9
13.1
13.1
13.1
13.2
13.3
13.4
13.4
13.6
13.7
13.7
13.8
13.9
14
14.1
14.2
14.4
14.4
14.5
14.5
14.6
14.6
14.7
14.7
14.8
14.9
14.9
15
15.1
15.2
15.3
15.5
15.5
15.5
15.6
15.6
15.7
15.7
15.8
15.9
15.9
16
16
16.1
16.2
16.2
16.3
16.4
16.4
16.4
16.4
16.7
16.8
16.9
17
17
17
17.2
17.3
17.3
17.4
17.4
17.6
17.6
17.6
17.6
17.7
17.9
18
18.1
18.2
18.2
18.3
18.3
18.6
18.6
18.7
18.7
18.8
18.8
18.9
18.9
19.1
19.2
19.3
19.5
19.5
19.6
19.8
19.8
19.8
20.2
20.2
20.2
20.5
20.6
20.7
20.8
20.8
20.9
21
21
21
21.1
21.1
21.4
21.8
21.9
21.9
21.9
22
22.2
22.4
22.5
22.8
22.9
23.2
23.3
23.4
23.5
23.5
23.6
23.7
23.8
24.1
24.2
24.2
24.2
24.3
24.5
24.8
24.9
24.9
24.9
25.8
26.1
26.2
26.4
26.8
29.9
31.8
32.6
35.2

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\begin{tabular}{lllllllll}
\hline
Summary of compuational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=8605&T=0

[TABLE]
[ROW][C]Summary of compuational 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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=8605&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=8605&T=0

As an alternative you can also use a QR Code:  
QR Code


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

Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Box-Cox Normality Plot
# observations x172
maximum correlation0.99431899627158
optimal lambda0.89

\begin{tabular}{lllllllll}
\hline
Box-Cox Normality Plot \tabularnewline
# observations x & 172 \tabularnewline
maximum correlation & 0.99431899627158 \tabularnewline
optimal lambda & 0.89 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=8605&T=1

[TABLE]
[ROW][C]Box-Cox Normality Plot[/C][/ROW]
[ROW][C]# observations x[/C][C]172[/C][/ROW]
[ROW][C]maximum correlation[/C][C]0.99431899627158[/C][/ROW]
[ROW][C]optimal lambda[/C][C]0.89[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=8605&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=8605&T=1

As an alternative you can also use a QR Code:  
QR Code


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

Box-Cox Normality Plot
# observations x172
maximum correlation0.99431899627158
optimal lambda0.89


Figures (Output of Computation)

Input Parameters & R Code

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)
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')