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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

Sun, 06 Jan 2008 12:52:14 -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/2008/Jan/06/t1199649127ps79426b17i4dnf.htm/, Retrieved Sun, 05 May 2024 05:18:30 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=7873, Retrieved Sun, 05 May 2024 05:18:30 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

various eda topics Q3 WL vs EA

Estimated Impact

166

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

-     [Central Tendency] [WS2 - Robustness ...] [2007-10-20 13:06:37] [5343e105a400b9e32bf6f011133bbaf4]
- RM D    [Box-Cox Linearity Plot] [CVWS5WL-EAQ3] [2008-01-06 19:52:14] [b523c8d839cc24a05ea912c062a47207] [Current]

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Dataseries X:

Download CSV

Histogram

Boxplots

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

Dataseries Y:

Download CSV

Histogram

13,5
16,2
17,6
15,8
17,6
15,2
15,9
12,0
13,3
14,8
16,1
16,9
17,6
13,9
10,0
7,6
7,1
8,1
8,1
7,7
4,0
1,4
0,3
-1,0
-1,9
-1,5
-0,2
3,4
3,0
4,1
3,4
3,2
6,1
5,8
6,2
5,8
5,9
6,7
5,9
3,8
1,7
1,4
1,8
3,0
3,6
4,8
4,3
4,2
2,9
4,9
7,2
8,7
9,1
8,9
9,0
11,6
9,6
9,1
9,2
10,8
11,0
8,5
6,5
7,2
7,8
8,7
7,8
7,5
7,7
7,5
8,3
7,9
10,4
11,5
14,0
11,9
11,9
10,3
11,3
9,9
8,9
9,2
8,8
6,7
7,1
6,6
7,2
5,0
5,3
6,3

Summary of compuational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7873&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]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=7873&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7873&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	2 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Box-Cox Linearity Plot
# observations x	90
maximum correlation	0.259420048877263
optimal lambda(x)	-2
Residual SD (orginial)	4.43795460246346
Residual SD (transformed)	4.3963199971261

\begin{tabular}{lllllllll}
\hline
Box-Cox Linearity Plot \tabularnewline
# observations x & 90 \tabularnewline
maximum correlation & 0.259420048877263 \tabularnewline
optimal lambda(x) & -2 \tabularnewline
Residual SD (orginial) & 4.43795460246346 \tabularnewline
Residual SD (transformed) & 4.3963199971261 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7873&T=1

[TABLE]
[ROW][C]Box-Cox Linearity Plot[/C][/ROW]
[ROW][C]# observations x[/C][C]90[/C][/ROW]
[ROW][C]maximum correlation[/C][C]0.259420048877263[/C][/ROW]
[ROW][C]optimal lambda(x)[/C][C]-2[/C][/ROW]
[ROW][C]Residual SD (orginial)[/C][C]4.43795460246346[/C][/ROW]
[ROW][C]Residual SD (transformed)[/C][C]4.3963199971261[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7873&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7873&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	90
maximum correlation	0.259420048877263
optimal lambda(x)	-2
Residual SD (orginial)	4.43795460246346
Residual SD (transformed)	4.3963199971261

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