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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 13:52:36 -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/t1203800092g2k64a97dqkpg9z.htm/, Retrieved Mon, 13 May 2024 22:31:27 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=8604, Retrieved Mon, 13 May 2024 22:31:27 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact187

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] [Salicortin] [2008-02-23 20:52:36] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1.9
3
6
6.2
6.7
7
7.1
7.9
8
8
8.2
8.4
8.5
8.5
8.6
8.8
8.8
8.9
9
9
9
9.2
9.3
9.3
9.4
9.4
9.5
9.6
9.8
9.8
9.9
10
10
10.1
10.1
10.1
10.2
10.2
10.3
10.3
10.4
10.5
10.5
10.5
10.5
10.6
10.6
10.6
10.7
10.8
10.8
10.8
10.9
11
11.1
11.1
11.1
11.1
11.3
11.3
11.3
11.4
11.4
11.5
11.7
11.8
11.8
11.8
11.9
12
12
12
12.1
12.2
12.2
12.3
12.3
12.4
12.6
12.7
12.7
12.7
12.8
12.8
13
13.1
13.1
13.2
13.3
13.3
13.3
13.4
13.4
13.6
13.6
13.7
13.7
13.7
13.8
13.8
14.2
14.3
14.5
14.5
14.5
14.6
14.7
14.7
14.8
14.8
14.9
15.1
15.2
15.2
15.4
15.7
15.8
15.8
15.9
16
16
16.2
16.3
16.4
16.4
16.4
16.4
16.7
16.8
17.2
17.3
17.3
17.6
17.6
17.6
18
18.5
18.5
18.6
18.7
18.8
18.8
19
19.5
19.6
19.8
19.9
20.7
20.8
21
21
21.1
21.2
21.8
21.9
21.9
21.9
22.2
22.6
22.8
23.2
23.5
23.5
23.5
23.7
24.3
24.8
24.9
24.9
26.1
26.2
26.8

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=8604&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=8604&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=8604&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 correlation0.987542928359964
optimal lambda0.54

\begin{tabular}{lllllllll}
\hline
Box-Cox Normality Plot \tabularnewline
# observations x & 172 \tabularnewline
maximum correlation & 0.987542928359964 \tabularnewline
optimal lambda & 0.54 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=8604&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]0.987542928359964[/C][/ROW]
[ROW][C]optimal lambda[/C][C]0.54[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=8604&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=8604&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 correlation0.987542928359964
optimal lambda0.54


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')