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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, 06 Nov 2009 06:33:27 -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/06/t1257514464f7l9rvyc1bk29u5.htm/, Retrieved Sun, 28 Apr 2024 06:47:20 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=54302, Retrieved Sun, 28 Apr 2024 06:47:20 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsbhschhwstws6p5
Estimated Impact191
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]
-    D    [Box-Cox Linearity Plot] [Workshop 6] [2009-11-06 13:33:27] [682632737e024f9e62885141c5f654cd] [Current]
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Dataseries X:
131.6
132.05
132.4
132.57
133.02
133.47
133.66
133.96
134.19
134.93
134.9
135.05
135.16
135.23
135.15
135.12
137.29
137.41
137.44
137.62
137.78
137.98
138.06
138.16
138.28
138.33
138.43
138.44
138.41
138.55
138.64
138.72
138.9
139.02
139.04
139.15
139.3
140.73
141.84
141.95
142.1
142.36
142.58
142.75
142.85
143.03
143.19
143.62
143.89
144.69
147.51
147.78
148.04
148.21
148.29
148.34
148.33
148.38
148.37
148.37
Dataseries Y:
128.6
128.9
129.06
129.23
129.27
129.33
129.35
129.31
129.4
129.49
129.47
129.46
129.45
129.28
129.2
129.25
129.14
129.11
129.02
129.08
128.99
129.11
129.08
129.19
129.23
129.25
129.31
129.33
129.39
129.55
129.43
129.45
129.57
129.76
129.92
130.08
130.41
130.84
131.24
131.49
131.74
132.34
133.5
134.43
136.5
137.41
138.02
138.15
138.24
138.2
138.31
138.65
139.3
139.8
140.52
141.57
141.77
141.66
141.36
141.17




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=54302&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]2 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=54302&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=54302&T=0

As an alternative you can also use a 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 time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Box-Cox Linearity Plot
# observations x60
maximum correlation0.910682498283159
optimal lambda(x)2
Residual SD (orginial)1.91012940602208
Residual SD (transformed)1.85744318526026

\begin{tabular}{lllllllll}
\hline
Box-Cox Linearity Plot \tabularnewline
# observations x & 60 \tabularnewline
maximum correlation & 0.910682498283159 \tabularnewline
optimal lambda(x) & 2 \tabularnewline
Residual SD (orginial) & 1.91012940602208 \tabularnewline
Residual SD (transformed) & 1.85744318526026 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=54302&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]0.910682498283159[/C][/ROW]
[ROW][C]optimal lambda(x)[/C][C]2[/C][/ROW]
[ROW][C]Residual SD (orginial)[/C][C]1.91012940602208[/C][/ROW]
[ROW][C]Residual SD (transformed)[/C][C]1.85744318526026[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=54302&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=54302&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Box-Cox Linearity Plot
# observations x60
maximum correlation0.910682498283159
optimal lambda(x)2
Residual SD (orginial)1.91012940602208
Residual SD (transformed)1.85744318526026



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')