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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 computationThu, 13 Nov 2008 04:16:25 -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/t12265750501l95hkmh3e7nyjw.htm/, Retrieved Sun, 19 May 2024 10:23:18 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=24572, Retrieved Sun, 19 May 2024 10:23:18 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsEigen Tijdreeks H8 Q4
Estimated Impact180

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] [loïqueverhasselt] [2008-11-13 11:16:25] [6440ec5a21e5d35520cb2ae6b4b70e45] [Current]
F    D    [Box-Cox Normality Plot] [] [2008-11-13 16:08:26] [0dbd86b1fa2b13613c640b8c253471b2]
F RMPD    [Testing Mean with known Variance - Critical Value] [] [2008-11-13 16:16:13] [0dbd86b1fa2b13613c640b8c253471b2]
F RMPD    [Testing Mean with known Variance - p-value] [] [2008-11-13 16:19:46] [0dbd86b1fa2b13613c640b8c253471b2]
F RMPD    [Testing Mean with known Variance - Type II Error] [] [2008-11-13 16:25:35] [0dbd86b1fa2b13613c640b8c253471b2]
F RMPD    [Testing Mean with known Variance - Sample Size] [] [2008-11-13 16:28:33] [0dbd86b1fa2b13613c640b8c253471b2]
F RMPD    [Testing Population Mean with known Variance - Confidence Interval] [] [2008-11-13 16:30:58] [0dbd86b1fa2b13613c640b8c253471b2]
F RMPD    [Testing Population Mean with known Variance - Confidence Interval] [] [2008-11-13 16:33:00] [0dbd86b1fa2b13613c640b8c253471b2]
Feedback Forum
2008-11-18 12:05:48 [Loïque Verhasselt] [reply] 
Juiste berekening maar onduidelijke conclusie. We vinden dat de uitgevoerde transformatie niet veel effect opleverd.
2008-11-20 11:50:58 [Thomas Plasschaert] [reply] 
goede grafiek, goede uitleg, verder geen opmerkingen

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
93
98,4
92,6
94,6
99,5
97,6
91,3
93,6
93,1
78,4
70,2
69,3
71,1
73,5
85,9
91,5
91,8
88,3
91,3
94
99,3
96,7
88
96,7
106,8
114,3
105,7
90,1
91,6
97,7
100,8
104,6
95,9
102,7
104
107,9
113,8
113,8
123,1
125,1
137,6
134
140,3
152,1
150,6
167,3
153,2
142
154,4
158,5
180,9
181,3
172,4
192
199,3
215,4
214,3
201,5
190,5
196

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 1 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=24572&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=24572&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=24572&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 time1 seconds
R Server'George Udny Yule' @ 72.249.76.132






Box-Cox Normality Plot
# observations x60
maximum correlation0.855681812191065
optimal lambda0.55

\begin{tabular}{lllllllll}
\hline
Box-Cox Normality Plot \tabularnewline
# observations x & 60 \tabularnewline
maximum correlation & 0.855681812191065 \tabularnewline
optimal lambda & 0.55 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=24572&T=1

[TABLE]
[ROW][C]Box-Cox Normality Plot[/C][/ROW]
[ROW][C]# observations x[/C][C]60[/C][/ROW]
[ROW][C]maximum correlation[/C][C]0.855681812191065[/C][/ROW]
[ROW][C]optimal lambda[/C][C]0.55[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=24572&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=24572&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 x60
maximum correlation0.855681812191065
optimal lambda0.55


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')