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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 computationTue, 11 Nov 2008 03:17:28 -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/Nov/11/t1226398761dg5iip3ul59n1b0.htm/, Retrieved Sun, 19 May 2024 10:44:44 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=23273, Retrieved Sun, 19 May 2024 10:44:44 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsBert Moons,Q3, Box-Cox linearity plot
Estimated Impact138

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Box-Cox Linearity Plot] [Bert Moons - Q3 B...] [2008-11-11 10:17:28] [1828943283e41f5e3270e2e73d6433b4] [Current]
F R  D    [Box-Cox Linearity Plot] [Bert Moons - Box-...] [2008-11-11 19:49:52] [b6c777429d07a05453509ef079833861]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
19,2
26,6
26,6
31,4
31,2
26,4
20,7
20,7
15
13,3
8,7
10,2
4,3
-0,1
-4,6
-3,9
-3,5
-3,4
-2,5
-1,1
0,3
-0,9
3,6
2,7
-0,2
-1
5,8
6,4
9,6
13,2
10,6
10,9
12,9
15,9
12,2
9,1
9
17,4
14,7
17
13,7
9,5
14,8
13,6
12,6
8,9
10,2
12,7
16
10,4
9,9
9,5
8,6
10
3,5
-4,2
-4,4
-1,5
-0,1
0,8
Dataseries Y:
Download CSV
Histogram 
4,8
5,5
5,4
5,9
5,8
5,1
4,1
4,4
3,6
3,5
3,1
2,9
2,2
1,4
1,2
1,3
1,3
1,3
1,8
1,8
1,8
1,7
2,1
2
1,7
1,9
2,3
2,4
2,5
2,8
2,6
2,2
2,8
2,8
2,8
2,3
2,2
3
2,9
2,7
2,7
2,3
2,4
2,8
2,3
2
1,9
2,3
2,7
1,8
2
2,1
2
2,4
1,7
1
1,2
1,4
1,7
1,8

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24
R Engine error message
Error in if (mx < abs(c[i])) { : missing value where TRUE/FALSE needed
Execution halted


\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 & 1 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
R Engine error message & 
Error in if (mx < abs(c[i])) { : missing value where TRUE/FALSE needed
Execution halted

 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=23273&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[ROW][C]R Engine error message[/C][C]
Error in if (mx < abs(c[i])) { : missing value where TRUE/FALSE needed
Execution halted

[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=23273&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=23273&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 time1 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24
R Engine error message
Error in if (mx < abs(c[i])) { : missing value where TRUE/FALSE needed
Execution halted


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')