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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_boxcoxlin.wasp

Title produced by software

Box-Cox Linearity Plot

Date of computation

Thu, 11 Dec 2014 18:37:32 +0000

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Dec/11/t1418323064i99wclhpyxopkrx.htm/, Retrieved Fri, 01 Nov 2024 00:37:13 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=266262, Retrieved Fri, 01 Nov 2024 00:37:13 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

100

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [Box-Cox Linearity Plot] [] [2014-12-11 18:37:32] [ff8f75f765a8f6d34a5ce09978012557] [Current]

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Dataseries X:

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Histogram

Boxplots

Dataseries Y:

Download CSV

Histogram

1,5
1,8
2,1
2,1
1,9
1,6
2,1
2,1
2,2
1,5
1,9
2,2
1,6
1,5
1,9
0,1
2,2
1,8
1,6
2,2
2,1
1,9
1,6
1,9
2,2
1,8
2,4
2,4
2,5
1,9
2,1
1,9
2,1
1,9
1,5
1,9
2,1
1,5
2,1
2,1
1,8
2,4
2,1
1,9
2,1
1,9
2,4
2,1
2,2
2,2
1,8
2,1
2,4
2,2
2,1
1,5
1,9
1,8
1,8
1,6
1,2
1,8
1,5
2,1
2,4
2,4
1,5
1,8
2,1
2,2
2,1
1,9
2,1
1,9
1,6
2,4
1,9
1,9
1,9
2,1
1,8
2,1
2,4
2,1
2,2
2,1
2,2
1,6
2,4
2,1
1,9
2,4
2,1
1,8
2,1
1,8
1,9
1,9
2,4
1,8
1,8
2,1
2,1
2,4
1,9
1,8
1,8
2,2
2,4
1,8
2,4
1,8
1,9
2,4
2,1
1,9
2,1
2,7
2,1
2,1
2,1
2,1
2,1
2,1
2,1
2,1
2,4
1,95
2,1
2,1
1,95
2,1
2,4
2,1
2,25
2,4
2,25
2,55
1,95
2,4
2,1
2,1
2,4
2,1
2,1
2,25
2,25
2,4
2,1
2,1
2,4
2,1
1,95
2,1
2,25
2,25
2,4
2,25
2,25
2,1
2,1
2,1
2,7
2,1
2,1
2,25
2,7
2,4
2,1
2,1
2,4
1,95
2,7
2,1
2,25
2,1
2,7
2,1
2,1
1,65
1,65
2,1
2,1
2,1
2,1
2,1
2,4
2,4
2,1
2,25
2,4
2,1
2,1
2,4
2,4
2,1
2,1
2,4
2,1
2,7
2,1
2,1
2,25
2,1
2,4
2,25
2,25
2,1
2,1
2,4
2,25
2,1
2,1
1,65
1,65
2,7
2,1
1,95
2,25
2,4
1,95
2,1
2,4
2,1
2,1
2,4
2,4
2,4
2,25
2,4
2,1
2,1
1,8
2,7
2,1
2,1
2,4
2,55
2,55
2,1
2,1
2,1
2,25
2,25
2,1
2,1
1,95
2,4
2,1
2,4
2,4
2,4
2,25
1,95
2,1
2,1
2,55
2,1
2,1
2,1
1,95
2,25
2,4
1,95
2,1
2,1
1,95
2,1
2,1
1,95
2,1
1,95
2,4
2,4
2,4
1,95
2,7
2,1
1,95
2,1
1,95
2,1
2,25
2,7
2,1
2,4
1,35

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'George Udny Yule' @ yule.wessa.net

\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 & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266262&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266262&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266262&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 Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'George Udny Yule' @ yule.wessa.net

Box-Cox Linearity Plot
# observations x	287
maximum correlation	0.230034097028391
optimal lambda(x)	2
Residual SD (orginial)	0.280926422276575
Residual SD (transformed)	0.278996448915138

\begin{tabular}{lllllllll}
\hline
Box-Cox Linearity Plot \tabularnewline
# observations x & 287 \tabularnewline
maximum correlation & 0.230034097028391 \tabularnewline
optimal lambda(x) & 2 \tabularnewline
Residual SD (orginial) & 0.280926422276575 \tabularnewline
Residual SD (transformed) & 0.278996448915138 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266262&T=1

[TABLE]
[ROW][C]Box-Cox Linearity Plot[/C][/ROW]
[ROW][C]# observations x[/C][C]287[/C][/ROW]
[ROW][C]maximum correlation[/C][C]0.230034097028391[/C][/ROW]
[ROW][C]optimal lambda(x)[/C][C]2[/C][/ROW]
[ROW][C]Residual SD (orginial)[/C][C]0.280926422276575[/C][/ROW]
[ROW][C]Residual SD (transformed)[/C][C]0.278996448915138[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266262&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266262&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 x	287
maximum correlation	0.230034097028391
optimal lambda(x)	2
Residual SD (orginial)	0.280926422276575
Residual SD (transformed)	0.278996448915138

Figure 1

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Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Figure 3

PNG link

Postscript link

PDF link

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))
mymin = min(x)
if(mymin < 0) {
x <- x - mymin +1
}
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)
if(mymin < 0) {
a<-table.element(a,'added constant term to x',header=TRUE)
a<-table.element(a,-mymin+1)
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')

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Input Parameters & R Code