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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 computationThu, 13 Nov 2008 03:03:31 -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/Nov/13/t1226570811ccuxhapeb66kwze.htm/, Retrieved Tue, 29 Sep 2026 15:51:37 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=24540, Retrieved Tue, 29 Sep 2026 15:51:37 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact581

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Box-Cox Normality Plot] [Box-Cox Normality...] [2008-11-11 11:20:38] [94862dbeb1b738961deecd49975f349b]
F    D    [Box-Cox Normality Plot] [box normality plot] [2008-11-13 10:03:31] [d41d8cd98f00b204e9800998ecf8427e] [Current]
Feedback Forum
2008-11-18 09:52:27 [72e979bcc364082694890d2eccc1a66f] [reply] 
Er is inderdaad een lineairer verband waar te nemen maar het verschil is echter niet zo groot.
2008-11-24 11:32:56 [Anna Hayan] [reply] 
De uitleg klopt volledig zie extra uitleg op de forum bij de vraag Q3
2008-11-24 20:29:23 [Erik Geysen] [reply] 
Zoals mijn collega's al aangaven, is er hier inderdaad een duidelijk lineair verband. Er is bijna een diagonaal van de linksonderhoek tot rechtsboven waarop zowat alle punten geconcentreerd zijn.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
43,5
37,7
36,8
24,4
31,3
43,9
53,6
48,9
30,9
31,8
41,3
43,7
54,1
47,8
36,7
30,8
31,9
61,7
73
64,7
24,2
33,9
32,4
63,2
71,8
60,4
48
44,5
44,9
70,9
72,7
59,5
35,9
40
43,6
57,2
75,8
57,7
47,7
42,3
43
68
70,6
54,2
38,6
40,3
49,2
68,5
75,9
63,2
49,8
37
48,8
74,9
75,3
66,9
44,1
39,8
56,6
77,1
78,5
70,6
54,2
47,2
55,1
74,5
88
80,8
54,4
55,2
73,8
85,3
98,7
86,1
62,5
58,6
67
88,4
96,5
87,1
61,2
62,5
85,2
101,7
113,7

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=24540&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 Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=24540&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=24540&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 time4 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Box-Cox Normality Plot
# observations x85
maximum correlation0.689768627821127
optimal lambda1.24

\begin{tabular}{lllllllll}
\hline
Box-Cox Normality Plot \tabularnewline
# observations x & 85 \tabularnewline
maximum correlation & 0.689768627821127 \tabularnewline
optimal lambda & 1.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=24540&T=1

[TABLE]
[ROW][C]Box-Cox Normality Plot[/C][/ROW]
[ROW][C]# observations x[/C][C]85[/C][/ROW]
[ROW][C]maximum correlation[/C][C]0.689768627821127[/C][/ROW]
[ROW][C]optimal lambda[/C][C]1.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=24540&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=24540&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 x85
maximum correlation0.689768627821127
optimal lambda1.24


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')