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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 computationSat, 23 Jan 2010 11:56:25 -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/2010/Jan/23/t1264273040oakpa40hkuo33ao.htm/, Retrieved Sun, 05 May 2024 07:59:50 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=72373, Retrieved Sun, 05 May 2024 07:59:50 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact147
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Box-Cox Linearity Plot] [VAC Box-Cox Linea...] [2008-12-14 10:54:27] [379d6c32f73e3218fd773d79e4063d07]
-  M D    [Box-Cox Linearity Plot] [Box-Cox Linearity...] [2010-01-23 18:56:25] [f32a893c5a60da9308cd5d37e6977c4f] [Current]
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Dataseries X:
124.1
124.4
115.7
108.3
102.3
104.6
104
103.5
96
96.6
95.4
92.1
93
90.4
93.3
97.1
111
114.1
113.3
111
107.2
118.3
134.1
139
116.7
112.5
122.8
130
125.6
123.8
135.8
136.4
135.3
149.5
159.6
161.4
175.2
199.5
245
257.8
Dataseries Y:
188.5
188.6
191.9
193.5
194.9
194.9
196.2
196.2
198
198.6
201.3
203.5
204.1
204.8
206.5
207.8
208.6
209.7
210
211.7
212.4
213.7
214.8
216.4
217.5
218.6
220.4
221.8
222.5
223.4
225.5
226.5
227.8
228.5
229.1
229.9
230.8
231.9
236
237.5




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=72373&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=72373&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=72373&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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Box-Cox Linearity Plot
# observations x40
maximum correlation0.766865118945878
optimal lambda(x)-0.69
Residual SD (orginial)9.60258163185966
Residual SD (transformed)9.00892258113238

\begin{tabular}{lllllllll}
\hline
Box-Cox Linearity Plot \tabularnewline
# observations x & 40 \tabularnewline
maximum correlation & 0.766865118945878 \tabularnewline
optimal lambda(x) & -0.69 \tabularnewline
Residual SD (orginial) & 9.60258163185966 \tabularnewline
Residual SD (transformed) & 9.00892258113238 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=72373&T=1

[TABLE]
[ROW][C]Box-Cox Linearity Plot[/C][/ROW]
[ROW][C]# observations x[/C][C]40[/C][/ROW]
[ROW][C]maximum correlation[/C][C]0.766865118945878[/C][/ROW]
[ROW][C]optimal lambda(x)[/C][C]-0.69[/C][/ROW]
[ROW][C]Residual SD (orginial)[/C][C]9.60258163185966[/C][/ROW]
[ROW][C]Residual SD (transformed)[/C][C]9.00892258113238[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=72373&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=72373&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 x40
maximum correlation0.766865118945878
optimal lambda(x)-0.69
Residual SD (orginial)9.60258163185966
Residual SD (transformed)9.00892258113238



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')