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Author's title

Author

*Unverified author*

R Software Module

rwasp_boxcoxlin.wasp

Title produced by software

Box-Cox Linearity Plot

Date of computation

Mon, 05 Nov 2007 14:01:26 -0700

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/2007/Nov/05/dgf2233xqekrx1v1194296362.htm/, Retrieved Mon, 29 Apr 2024 04:26:21 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=461, Retrieved Mon, 29 Apr 2024 04:26:21 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Groep 1, WS 4, Q3

Estimated Impact

214

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

-       [Box-Cox Linearity Plot] [WS 4, Q3] [2007-11-05 21:01:26] [443d2fe869025e720a9fee03b1da487c] [Current]

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Dataseries X:

Download CSV

Histogram

Boxplots

16,8
18,7
18,7
18,7
16,8
16,8
16,8
16,0
16,0
16,0
18,0
18,0
18,0
18,0
18,0
18,0
21,6
21,6
21,6
20,1
20,1
20,1
22,9
22,9
22,9
24,0
24,0
24,0
20,3
20,3
20,3
15,8
15,8
15,8
23,2
23,2
23,2
20,9
20,9
20,9
19,8
19,8
19,8
20,6
20,6
20,6
21,1
21,1
21,1
22,4
22,4
22,4
20,5
20,5
20,5
18,4
18,4
18,4
17,6
17,6
17,6
18,5
18,5
18,5
17,3
17,3
17,3
16,2
16,2
16,2
18,0
18,0
18,0

Dataseries Y:

Download CSV

Histogram

4,5
5,6
5,4
5,4
5,2
5,3
5,3
5,3
5,2
5,2
5,0
5,0
5,0
6,5
6,5
6,6
6,2
6,2
6,2
6,1
6,1
6,1
5,9
5,9
5,9
6,2
6,1
6,2
6,6
6,6
6,7
5,8
5,7
5,7
6,1
6,2
6,2
6,2
6,1
6,2
6,5
6,5
6,5
6,0
6,3
6,0
6,1
6,1
6,1
6,2
6,1
6,2
6,8
6,8
6,8
6,7
6,7
6,7
5,7
5,6
5,6
5,8
5,7
5,7
6,1
6,1
5,9
5,9
5,8
5,6
5,5
5,5
5,4

Summary of compuational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of compuational 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=461&T=0

[TABLE]
[ROW][C]Summary of compuational 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=461&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=461&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 compuational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Box-Cox Linearity Plot
# observations x	73
maximum correlation	0.525061225838471
optimal lambda(x)	-2
Residual SD (orginial)	0.439861046550394
Residual SD (transformed)	0.428272846240378

\begin{tabular}{lllllllll}
\hline
Box-Cox Linearity Plot \tabularnewline
# observations x & 73 \tabularnewline
maximum correlation & 0.525061225838471 \tabularnewline
optimal lambda(x) & -2 \tabularnewline
Residual SD (orginial) & 0.439861046550394 \tabularnewline
Residual SD (transformed) & 0.428272846240378 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=461&T=1

[TABLE]
[ROW][C]Box-Cox Linearity Plot[/C][/ROW]
[ROW][C]# observations x[/C][C]73[/C][/ROW]
[ROW][C]maximum correlation[/C][C]0.525061225838471[/C][/ROW]
[ROW][C]optimal lambda(x)[/C][C]-2[/C][/ROW]
[ROW][C]Residual SD (orginial)[/C][C]0.439861046550394[/C][/ROW]
[ROW][C]Residual SD (transformed)[/C][C]0.428272846240378[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=461&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=461&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	73
maximum correlation	0.525061225838471
optimal lambda(x)	-2
Residual SD (orginial)	0.439861046550394
Residual SD (transformed)	0.428272846240378

Figure 1

PNG link

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))
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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code