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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_boxcoxlin.wasp
Title produced by softwareBox-Cox Linearity Plot
Date of computationFri, 13 Nov 2009 07:39:38 -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/13/t1258123244eb6mtjna6mq8r5g.htm/, Retrieved Sun, 05 May 2024 16:35:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=56717, Retrieved Sun, 05 May 2024 16:35:10 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact109

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Box-Cox Linearity Plot] [3/11/2009] [2009-11-02 21:47:57] [b98453cac15ba1066b407e146608df68]
- R  D    [Box-Cox Linearity Plot] [Box-Cox Linearity...] [2009-11-13 14:39:38] [d1856923bab8a0db5ebd860815c7444f] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2.67
2.72
2.84
3
3.08
3.21
3.44
3.74
4.08
4.79
5.44
6.02
6.01
5.85
5.93
5.85
5.74
5.75
5.78
5.62
5.67
5.89
5.67
5.64
5.64
5.64
5.54
5.52
5.28
5.25
5.23
5.09
5
5.02
4.8
4.71
4.51
4.51
4.42
4.4
4.25
4.18
4.09
3.97
3.89
4.02
3.81
3.67
3.68
3.66
3.66
3.65
3.67
3.66
3.7
3.77
3.74
3.8
3.79
3.75
Dataseries Y:
Download CSV
Histogram 
1.74
1.75
1.83
2.09
2.12
2.29
2.4
2.82
3.18
4
4.8
5.28
5.37
5.27
5.33
5.23
5.08
5.11
5.1
4.97
5
5.2
4.9
4.82
5.04
4.82
4.77
4.79
4.58
4.59
4.57
4.35
4.27
4.39
3.97
3.84
3.73
3.58
3.45
3.44
3.25
3.25
3.02
2.87
2.92
2.95
2.75
2.7
2.75
2.72
2.71
2.76
2.68
2.78
2.86
2.75
2.87
2.91
2.79
2.77

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'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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=56717&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=56717&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=56717&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'Gwilym Jenkins' @ 72.249.127.135






Box-Cox Linearity Plot
# observations x60
maximum correlation0.99770935490004
optimal lambda(x)1.32
Residual SD (orginial)0.0827526395143003
Residual SD (transformed)0.0752999777054409

\begin{tabular}{lllllllll}
\hline
Box-Cox Linearity Plot \tabularnewline
# observations x & 60 \tabularnewline
maximum correlation & 0.99770935490004 \tabularnewline
optimal lambda(x) & 1.32 \tabularnewline
Residual SD (orginial) & 0.0827526395143003 \tabularnewline
Residual SD (transformed) & 0.0752999777054409 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=56717&T=1

[TABLE]
[ROW][C]Box-Cox Linearity Plot[/C][/ROW]
[ROW][C]# observations x[/C][C]60[/C][/ROW]
[ROW][C]maximum correlation[/C][C]0.99770935490004[/C][/ROW]
[ROW][C]optimal lambda(x)[/C][C]1.32[/C][/ROW]
[ROW][C]Residual SD (orginial)[/C][C]0.0827526395143003[/C][/ROW]
[ROW][C]Residual SD (transformed)[/C][C]0.0752999777054409[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=56717&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=56717&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 Linearity Plot
# observations x60
maximum correlation0.99770935490004
optimal lambda(x)1.32
Residual SD (orginial)0.0827526395143003
Residual SD (transformed)0.0752999777054409


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(x1,y)
if (mx < abs(c[i]))
{
mx <- abs(c[i])
mxli <- l[i]
}
}
c
mx
mxli
if (mxli != 0)
{
x1 <- (x^mxli - 1) / mxli
} else {
x1 <- log(x)
}
r<-lm(y~x)
se <- sqrt(var(r$residuals))
r1 <- lm(y~x1)
se1 <- sqrt(var(r1$residuals))
bitmap(file='test1.png')
plot(l,c,main='Box-Cox Linearity Plot',xlab='Lambda',ylab='correlation')
grid()
dev.off()
bitmap(file='test2.png')
plot(x,y,main='Linear Fit of Original Data',xlab='x',ylab='y')
abline(r)
grid()
mtext(paste('Residual Standard Deviation = ',se))
dev.off()
bitmap(file='test3.png')
plot(x1,y,main='Linear Fit of Transformed Data',xlab='x',ylab='y')
abline(r1)
grid()
mtext(paste('Residual Standard Deviation = ',se1))
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Box-Cox Linearity 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(x)',header=TRUE)
a<-table.element(a,mxli)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Residual SD (orginial)',header=TRUE)
a<-table.element(a,se)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Residual SD (transformed)',header=TRUE)
a<-table.element(a,se1)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')