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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, 12 Dec 2009 10:22:22 -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/Dec/12/t1260638566nlr9pl9aoxb63uu.htm/, Retrieved Mon, 29 Apr 2024 14:46:51 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=67090, Retrieved Mon, 29 Apr 2024 14:46:51 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact116
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Kendall tau Correlation Matrix] [3/11/2009] [2009-11-02 21:25:00] [b98453cac15ba1066b407e146608df68]
- RMPD  [Box-Cox Linearity Plot] [] [2009-11-11 12:37:36] [5a37f3707b3a04712d8ab4d8bb1d3325]
- R PD      [Box-Cox Linearity Plot] [] [2009-12-12 17:22:22] [21edaefb91319406e70b6c03c71b58b3] [Current]
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Dataseries X:
2	
2	
2	
2	
2	
2	
2	
2	
2	
2	
2	
2	
2	
2	
2	
2.21	
2.25	
2.25	
2.45	
2.5	
2.5	
2.64	
2.75	
2.93	
3	
3.17	
3.25	
3.39	
3.5	
3.5	
3.65	
3.75	
3.75	
3.9	
4	
4	
4	
4	
4	
4	
4	
4	
4	
4	
4	
4	
4.18	
4.25	
4.25	
3.97	
3.42	
2.75	
2.31	
2	
1.66	
1.31	
1.09	
1	
1	
1
Dataseries Y:
595	
591	
589	
584	
573	
567	
569	
621	
629	
628	
612	
595	
597	
593	
590	
580	
574	
573	
573	
620	
626	
620	
588	
566	
557	
561	
549	
532	
526	
511	
499	
555	
565	
542	
527	
510	
514	
517	
508	
493	
490	
469	
478	
528	
534	
518	
506	
502	
516	
528	
533	
536	
537	
524	
536	
587	
597	
581	
564	
558




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=67090&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=67090&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=67090&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 correlation0.774235710345486
optimal lambda(x)2
Residual SD (orginial)27.7615458914364
Residual SD (transformed)25.8827732271327

\begin{tabular}{lllllllll}
\hline
Box-Cox Linearity Plot \tabularnewline
# observations x & 60 \tabularnewline
maximum correlation & 0.774235710345486 \tabularnewline
optimal lambda(x) & 2 \tabularnewline
Residual SD (orginial) & 27.7615458914364 \tabularnewline
Residual SD (transformed) & 25.8827732271327 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=67090&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]0.774235710345486[/C][/ROW]
[ROW][C]optimal lambda(x)[/C][C]2[/C][/ROW]
[ROW][C]Residual SD (orginial)[/C][C]27.7615458914364[/C][/ROW]
[ROW][C]Residual SD (transformed)[/C][C]25.8827732271327[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=67090&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=67090&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 correlation0.774235710345486
optimal lambda(x)2
Residual SD (orginial)27.7615458914364
Residual SD (transformed)25.8827732271327



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')