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Description of Statistical Computation

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 computationFri, 19 Dec 2008 09:57:57 -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/2008/Dec/19/t1229705922rshk1g10tb2e75g.htm/, Retrieved Thu, 16 May 2024 01:04:57 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=35222, Retrieved Thu, 16 May 2024 01:04:57 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsk_vanderheggen
Estimated Impact167

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Box-Cox Linearity Plot] [Box Cox linearity...] [2008-11-12 10:57:40] [1f1010bd86ba67c4979e2a8e4bfe558a]
-    D    [Box-Cox Linearity Plot] [Paper Box-Cox] [2008-12-19 16:57:57] [547f3960ab1cda94661cd6e0871d2c7b] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
25
27
25
23
24
24
26
25
24
24
22
22
22
27
24
24
22
23
25
23
21
21
22
20
22
22
20
21
20
21
21
21
19
21
21
22
19
24
22
22
22
24
22
23
24
21
20
22
23
23
22
20
21
21
20
20
17
18
19
19
20
21
20
21
19
22
20
18
16
17
18
19
18
20
21
18
19
19
19
21
19
19
17
16
16
17
16
15
16
16
16
18
Dataseries Y:
Download CSV
Histogram 
27
25
20
19
19
17
12
13
13
11
4
8
1
5
4
3
4
2
8
-2
1
0
1
7
1
0
-3
0
3
1
3
2
6
2
3
9
12
8
7
9
11
13
9
9
13
14
16
20
19
18
18
19
16
10
11
17
3
14
15
17
20
19
21
17
15
18
19
16
21
26
23
24
23
19
25
21
19
20
20
17
25
19
13
15
15
13
11
9
2
-2
-4
-2

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35222&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' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35222&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35222&T=0

As an alternative you can also use a QR Code:  
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'George Udny Yule' @ 72.249.76.132






Box-Cox Linearity Plot
# observations x92
maximum correlation0.0362570251053395
optimal lambda(x)0.04
Residual SD (orginial)8.10394163038488
Residual SD (transformed)8.10357825799129

\begin{tabular}{lllllllll}
\hline
Box-Cox Linearity Plot \tabularnewline
# observations x & 92 \tabularnewline
maximum correlation & 0.0362570251053395 \tabularnewline
optimal lambda(x) & 0.04 \tabularnewline
Residual SD (orginial) & 8.10394163038488 \tabularnewline
Residual SD (transformed) & 8.10357825799129 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35222&T=1

[TABLE]
[ROW][C]Box-Cox Linearity Plot[/C][/ROW]
[ROW][C]# observations x[/C][C]92[/C][/ROW]
[ROW][C]maximum correlation[/C][C]0.0362570251053395[/C][/ROW]
[ROW][C]optimal lambda(x)[/C][C]0.04[/C][/ROW]
[ROW][C]Residual SD (orginial)[/C][C]8.10394163038488[/C][/ROW]
[ROW][C]Residual SD (transformed)[/C][C]8.10357825799129[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35222&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35222&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Box-Cox Linearity Plot
# observations x92
maximum correlation0.0362570251053395
optimal lambda(x)0.04
Residual SD (orginial)8.10394163038488
Residual SD (transformed)8.10357825799129


Figures (Output of Computation)

Input Parameters & R Code

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')