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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_boxcoxlin.wasp
Title produced by softwareBox-Cox Linearity Plot
Date of computationWed, 15 Dec 2010 00:18:13 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/15/t1292372204jcql2lfmk7lyutn.htm/, Retrieved Fri, 03 May 2024 08:22:29 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=110283, Retrieved Fri, 03 May 2024 08:22:29 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact163

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Recursive Partitioning (Regression Trees)] [] [2010-12-05 18:59:57] [b98453cac15ba1066b407e146608df68]
-   PD  [Recursive Partitioning (Regression Trees)] [Recursive Partiti...] [2010-12-14 19:55:28] [c2a9e95daa10045f9fd6252038bcb219]
- RMPD    [Kendall tau Correlation Matrix] [Sleep] [2010-12-14 21:45:48] [c2a9e95daa10045f9fd6252038bcb219]
- RMPD        [Box-Cox Linearity Plot] [] [2010-12-15 00:18:13] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
0.5
1273.5
5.275
0.0115
80
1.65
26.08
0.2125
232.5
0.0375
0.3925
0.1
13.83
0.06
42.5
0.0505
0.52
260.5
0.005
31
0.0115
0.85
1.75
0.24
5
0.81
96
1.25
0.14
2117.5
3.4
0.375
1.8
27.75
0.45
1
0.052
2.095
1.75
Dataseries Y:
Download CSV
Histogram 
3.3
2301.5
89.75
0.15
84.5
12.8
220
3.2
211.5
0.6
1.75
2.5
57.5
0.5
162.5
2
2.75
327.5
0.125
660
0.2
3.15
5.4
7.75
57.5
5.7
90
6.05
0.95
25.2
89.5
6.15
10.5
87.5
1.3
6.15
1.25
29
1.95

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 3 seconds \tabularnewline
R Server & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=110283&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=110283&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110283&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 time3 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk






Box-Cox Linearity Plot
# observations x39
maximum correlation0.596239147611974
optimal lambda(x)0.34
Residual SD (orginial)333.761277961126
Residual SD (transformed)304.564379220778

\begin{tabular}{lllllllll}
\hline
Box-Cox Linearity Plot \tabularnewline
# observations x & 39 \tabularnewline
maximum correlation & 0.596239147611974 \tabularnewline
optimal lambda(x) & 0.34 \tabularnewline
Residual SD (orginial) & 333.761277961126 \tabularnewline
Residual SD (transformed) & 304.564379220778 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=110283&T=1

[TABLE]
[ROW][C]Box-Cox Linearity Plot[/C][/ROW]
[ROW][C]# observations x[/C][C]39[/C][/ROW]
[ROW][C]maximum correlation[/C][C]0.596239147611974[/C][/ROW]
[ROW][C]optimal lambda(x)[/C][C]0.34[/C][/ROW]
[ROW][C]Residual SD (orginial)[/C][C]333.761277961126[/C][/ROW]
[ROW][C]Residual SD (transformed)[/C][C]304.564379220778[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=110283&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110283&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 x39
maximum correlation0.596239147611974
optimal lambda(x)0.34
Residual SD (orginial)333.761277961126
Residual SD (transformed)304.564379220778


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')