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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 computationTue, 11 Nov 2008 11:30:54 -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/11/t1226428478mwxlazqqvln3hxj.htm/, Retrieved Sat, 18 May 2024 10:50:54 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=23807, Retrieved Sat, 18 May 2024 10:50:54 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsBox-cox
Estimated Impact181

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 18:30:54] [0cdfeda4aa2f9e551c2e529c44a404df] [Current]
F    D    [Box-Cox Normality Plot] [box-cox normality ] [2008-11-12 20:05:49] [1eab65e90adf64584b8e6f0da23ff414]
- R  D    [Box-Cox Normality Plot] [VAC Box-Cox Norma...] [2008-12-14 11:10:52] [379d6c32f73e3218fd773d79e4063d07]
-    D      [Box-Cox Normality Plot] [VAC Box-Cox Norma...] [2008-12-23 14:54:04] [379d6c32f73e3218fd773d79e4063d07]
-  M D        [Box-Cox Normality Plot] [Box-Cox Linearity...] [2010-01-23 19:00:37] [f1bd7399181c649098ca7b814ee0e027]
-  M D      [Box-Cox Normality Plot] [Box-Cox Linearity...] [2010-01-23 18:59:13] [f1bd7399181c649098ca7b814ee0e027]
- RMPD    [Maximum-likelihood Fitting - Normal Distribution] [VAC Maximum Likeh...] [2008-12-14 11:15:17] [379d6c32f73e3218fd773d79e4063d07]
-    D      [Maximum-likelihood Fitting - Normal Distribution] [VAC likelihood fi...] [2008-12-23 15:01:37] [379d6c32f73e3218fd773d79e4063d07]
-  M D        [Maximum-likelihood Fitting - Normal Distribution] [Maximum-likelihoo...] [2010-01-23 19:03:12] [f1bd7399181c649098ca7b814ee0e027]
-  M        [Maximum-likelihood Fitting - Normal Distribution] [Maximum-likelihoo...] [2010-01-23 19:01:52] [f1bd7399181c649098ca7b814ee0e027]
- RM D    [Kendall tau Correlation Matrix] [VAC kendall tau c...] [2008-12-14 11:50:35] [379d6c32f73e3218fd773d79e4063d07]
-  M        [Kendall tau Correlation Matrix] [Kendall tau Corre...] [2010-01-23 19:04:12] [f1bd7399181c649098ca7b814ee0e027]
- RM D    [Kendall tau Rank Correlation] [VAC kendall tau c...] [2008-12-14 11:54:05] [379d6c32f73e3218fd773d79e4063d07]
-  M        [Kendall tau Rank Correlation] [Kendall tau Corre...] [2010-01-23 19:07:20] [f1bd7399181c649098ca7b814ee0e027]
Feedback Forum
2008-12-05 17:00:47 [a2386b643d711541400692649981f2dc] [reply] 
Je geeft een goed antwoord maar je had misschien beter elke grafiek, kort en apart besproken.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
103,1
100,6
103,1
95,5
90,5
90,9
88,8
90,7
94,3
104,6
111,1
110,8
107,2
99
99
91
96,2
96,9
96,2
100,1
99
115,4
106,9
107,1
99,3
99,2
108,3
105,6
99,5
107,4
93,1
88,1
110,7
113,1
99,6
93,6
98,6
99,6
114,3
107,8
101,2
112,5
100,5
93,9
116,2
112
106,4
95,7
96
95,8
103
102,2
98,4
111,4
86,6
91,3
107,9
101,8
104,4
93,4
100,1
98,5
112,9
101,4
107,1
110,8
90,3
95,5
111,4
113
107,5
95,9
106,3
105,2
117,2
106,9
108,2
113
97,2
99,9
108,1
118,1
109,1
93,3
112,1

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'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=23807&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]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=23807&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=23807&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'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Box-Cox Normality Plot
# observations x85
maximum correlation0.291871558399844
optimal lambda2

\begin{tabular}{lllllllll}
\hline
Box-Cox Normality Plot \tabularnewline
# observations x & 85 \tabularnewline
maximum correlation & 0.291871558399844 \tabularnewline
optimal lambda & 2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=23807&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]0.291871558399844[/C][/ROW]
[ROW][C]optimal lambda[/C][C]2[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=23807&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=23807&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 correlation0.291871558399844
optimal lambda2


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')