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 computationThu, 12 Nov 2009 09:06:47 -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/Nov/12/t12580420465eao98mjxwpx53r.htm/, Retrieved Sun, 07 Jun 2026 23:34:16 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=56180, Retrieved Sun, 07 Jun 2026 23:34:16 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact439

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] [3/11/2009] [2009-11-02 22:22:24] [b98453cac15ba1066b407e146608df68]
- R  D    [Box-Cox Normality Plot] [box cox normality ] [2009-11-12 16:06:47] [244731fa3e7e6c85774b8c0902c58f85] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
8,9
8,2
7,6
7,7
8,1
8,3
8,3
7,9
7,8
8
8,5
8,6
8,5
8
7,8
8
8,2
8,3
8,2
8,1
8
7,8
7,8
7,7
7,6
7,6
7,6
7,8
8
8
7,9
7,7
7,4
6,9
6,7
6,5
6,4
6,7
6,8
6,9
6,9
6,7
6,4
6,2
5,9
6,1
6,7
6,8
6,6
6,4
6,4
6,7
7,1
7,1
6,9
6,4
6
6

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 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 & 0 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=56180&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]0 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=56180&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=56180&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 time0 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135


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'#