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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 computationWed, 10 Dec 2008 07:43:09 -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/10/t1228921570jauc561boki13o0.htm/, Retrieved Fri, 17 May 2024 06:37:47 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=31992, Retrieved Fri, 17 May 2024 06:37:47 +0000
QR Codes:

Original text written by user:in samenwerking met stéphanie claes kevin engels en katrien bourdiaudhy
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact246

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Pearson Correlation] [Investigating ass...] [2007-10-22 22:08:56] [8cd6641b921d30ebe00b648d1481bba0]
F    D  [Pearson Correlation] [Investigating ass...] [2008-10-19 17:29:06] [cbd3d88cd5aad6543e769146e7e26b0c]
F R  D    [Pearson Correlation] [Investigating ass...] [2008-10-19 17:36:46] [cbd3d88cd5aad6543e769146e7e26b0c]
F    D      [Pearson Correlation] [Investigating ass...] [2008-10-19 17:44:01] [cbd3d88cd5aad6543e769146e7e26b0c]
F   PD        [Pearson Correlation] [pearsons correlat...] [2008-10-19 19:57:33] [7173087adebe3e3a714c80ea2417b3eb]
- RMP             [Box-Cox Linearity Plot] [box cox linearity...] [2008-12-10 14:43:09] [95d95b0e883740fcbc85e18ec42dcafb] [Current]
-  M D              [Box-Cox Linearity Plot] [] [2009-12-13 15:20:51] [ebd107afac1bd6180acb277edd05815b]
-    D                [Box-Cox Linearity Plot] [] [2010-12-24 12:16:21] [6e5489189f7de5cfbcc25dd35ae15009]
-    D                  [Box-Cox Linearity Plot] [] [2010-12-24 12:38:45] [6e5489189f7de5cfbcc25dd35ae15009]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
5014
6153
6441
5584
6427
6062
5589
6216
5809
4989
6706
7174
6122
8075
6292
6337
8576
6077
5931
6288
7167
6054
6468
6401
6927
7914
7728
8699
8522
6481
7502
7778
7424
6941
8574
9169
7701
9035
7158
8195
8124
7073
7017
7390
7776
6197
6889
7087
6485
7654
6501
6313
7826
6589
6729
5684
8105
6391
5901
6758
Dataseries Y:
Download CSV
Histogram 
2400
4700
3700
2900
2800
3000
3100
3700
3000
2000
1900
1900
1800
3400
3800
2800
3100
2100
2000
2500
2400
2500
3300
3100
3700
5600
3700
2900
4000
2900
2400
3300
3800
4400
4000
3100
2700
5200
4600
3700
3200
2400
2200
3200
3100
2300
2500
2900
2700
5000
3500
3000
3800
2800
2400
2700
2800
2700
2600
3100

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'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=31992&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=31992&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=31992&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'Gwilym Jenkins' @ 72.249.127.135






Box-Cox Linearity Plot
# observations x60
maximum correlation0.430116139596535
optimal lambda(x)0.78
Residual SD (orginial)747.152566737645
Residual SD (transformed)747.125689611688

\begin{tabular}{lllllllll}
\hline
Box-Cox Linearity Plot \tabularnewline
# observations x & 60 \tabularnewline
maximum correlation & 0.430116139596535 \tabularnewline
optimal lambda(x) & 0.78 \tabularnewline
Residual SD (orginial) & 747.152566737645 \tabularnewline
Residual SD (transformed) & 747.125689611688 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=31992&T=1

[TABLE]
[ROW][C]Box-Cox Linearity Plot[/C][/ROW]
[ROW][C]# observations x[/C][C]60[/C][/ROW]
[ROW][C]maximum correlation[/C][C]0.430116139596535[/C][/ROW]
[ROW][C]optimal lambda(x)[/C][C]0.78[/C][/ROW]
[ROW][C]Residual SD (orginial)[/C][C]747.152566737645[/C][/ROW]
[ROW][C]Residual SD (transformed)[/C][C]747.125689611688[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=31992&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=31992&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 x60
maximum correlation0.430116139596535
optimal lambda(x)0.78
Residual SD (orginial)747.152566737645
Residual SD (transformed)747.125689611688


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')