FreeStatistics.org

Free Statistics

of Irreproducible Research!

Description of Statistical Computation

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 computationSun, 20 Dec 2009 01:44:05 -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/2009/Dec/20/t1261298746o1ntehcskoceohc.htm/, Retrieved Sat, 27 Apr 2024 12:06:48 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=69796, Retrieved Sat, 27 Apr 2024 12:06:48 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact161

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] [paper box-cox nor...] [2008-12-16 17:48:07] [5de5fb433ddcb9578e0fa830f795b7e9]
-    D  [Box-Cox Normality Plot] [paper box-cox nor...] [2008-12-18 13:51:20] [5de5fb433ddcb9578e0fa830f795b7e9]
-  M D      [Box-Cox Normality Plot] [Paper Differentia...] [2009-12-20 08:44:05] [762da55b2e2304daaed24a7cc507d14d] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
90.2
90
88.8
85.8
84.2
80
77.8
76.8
86.4
89.2
86.2
84.6
83.2
83.2
82.6
79.8
77.2
74.8
73
73
83.6
85.6
84.8
84.2
83.4
84.6
84.6
83.8
81.2
79.6
78
78.2
88.8
92
91
91.2
90.4
91.8
92.2
90.2
88.6
87.8
86
87.2
97.6
101.2
100.4
100.2
100.2
103
104.2
104
102.4
101.8
101
102.2
114
118.4
118.8
117.2
117.2
118.4
118.8
117.2
114.4
112.6
111
110.8
120.2
124.4
123.4
121.2
119
119.8
120
118.4
115
113.4
111
111
121.6
126.2
125.8
124.8
122
123.2
124.2
120.8
116.8
114.8
111
109
119.8
124
121.6
118
115.8
116
115.8
114.4
112
110.2
107.4
108.2
117.6
121.4
119.8
115.6
112.6
113.2
112.2
110.8
108
105.2
102.4
101
110.8
116.8
113.8
108
104.4
105.2
105.4
103.2
100.6
97.8
95.8
95
104.8
110.4
106.4
102.2
98.4
98.4
98.6
96.2
92.4
91.4
88.4
87.8
97.6
104.2
100.2
97
92.8
92
93.4
92
89.6
88.6
87.2
86.2
96.8
102
102.6
100.6
94.2
94.2
95.2
95
94
92.2
91
91.2
103.4
105
104.6
103.8
101.8
102.4
103.8
103.4
102
101.8
100.2
101.4
113.8
116
115.6
113
109.4
111
112.4
112.2
111
108.8
107.4
108.6
118.8
122.2
122.6
122.2
118.8
119
118.2
117.8
116.8
114.6
113.4
113.8
124.2
125.8
125.6
122.4
119
119.4
118.6
118
116
114.8
114.6
114.6
124
125.2
124
117.6
113.2
111.4
112.2
109.8
106.4
105.2
102.2
99.8
111
113
108.4
105.4
102
102.8
103.4
101.6
98.6
98
93.8
95.6
105.6
106.8
103.6
101.2
100.4
103.2
105.6
106.6
107.2
107.4
104.8
107.2
117.4
119.4
116.2
112.8
111.6

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=69796&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=69796&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69796&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 computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Box-Cox Normality Plot
# observations x253
maximum correlation0.513755356156952
optimal lambda-2

\begin{tabular}{lllllllll}
\hline
Box-Cox Normality Plot \tabularnewline
# observations x & 253 \tabularnewline
maximum correlation & 0.513755356156952 \tabularnewline
optimal lambda & -2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=69796&T=1

[TABLE]
[ROW][C]Box-Cox Normality Plot[/C][/ROW]
[ROW][C]# observations x[/C][C]253[/C][/ROW]
[ROW][C]maximum correlation[/C][C]0.513755356156952[/C][/ROW]
[ROW][C]optimal lambda[/C][C]-2[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=69796&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69796&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 x253
maximum correlation0.513755356156952
optimal lambda-2


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)
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')