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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, 14 Dec 2011 16:42:54 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Dec/14/t132389907398wx9qa9f0fn4oy.htm/, Retrieved Wed, 01 May 2024 15:58:12 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=155261, Retrieved Wed, 01 May 2024 15:58:12 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact144

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [] [2008-12-08 19:22:39] [d2d412c7f4d35ffbf5ee5ee89db327d4]
- RMP   [Spectral Analysis] [] [2011-12-06 19:48:28] [b98453cac15ba1066b407e146608df68]
- R PD    [Spectral Analysis] [] [2011-12-14 15:31:08] [c53df38315e3cbde2dbe0de809195ef2]
- RMP       [(Partial) Autocorrelation Function] [] [2011-12-14 15:45:27] [c53df38315e3cbde2dbe0de809195ef2]
- RMP         [ARIMA Backward Selection] [] [2011-12-14 16:01:54] [c53df38315e3cbde2dbe0de809195ef2]
- RMPD            [Box-Cox Linearity Plot] [] [2011-12-14 21:42:54] [ff205c8f94ca61ac7cf7eb30cad83105] [Current]
-    D              [Box-Cox Linearity Plot] [] [2011-12-21 22:01:26] [80bca13c5f9401fbb753952fd2952f4a]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1.262
1.743
1.964
3.258
4.966
4.944
5.907
5.561
5.321
3.582
1.757
1.894
1.442
2.238
2.179
3.218
5.139
4.990
4.914
6.084
5.672
3.548
1.793
2.086
1.376
2.202
2.683
3.303
5.202
5.231
4.880
7.998
4.977
3.531
2.025
2.205
1.504
2.090
2.702
2.939
4.500
6.208
6.415
5.657
5.964
3.163
1.997
2.422
1.507
1.992
2.487
3.490
4.647
5.594
5.611
5.788
6.204
3.013
1.931
2.549
1.580
2.111
2.192
3.601
4.665
4.876
5.813
5.589
5.331
3.075
2.002
2.306
1.594
2.467
2.222
3.607
4.685
4.962
5.770
5.480
5.000
3.228
1.993
2.288
1.351
2.218
2.461
3.028
4.784
4.975
4.607
6.249
4.809
3.157
1.910
2.228
1.169
2.154
2.249
2.687
4.359
5.382
4.459
6.398
4.596
3.024
1.887
2.070
1.511
2.059
2.635
2.867
4.403
5.720
4.502
5.749
5.627
2.846
1.762
2.429
1.579
2.146
2.462
3.695
4.831
5.134
6.250
5.760
6.249
2.917
1.741
2.359
Dataseries Y:
Download CSV
Histogram 
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132

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'AstonUniversity' @ aston.wessa.net

\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 & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=155261&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]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=155261&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=155261&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'AstonUniversity' @ aston.wessa.net






Box-Cox Linearity Plot
# observations x132
maximum correlation0.0474712321783223
optimal lambda(x)-2
Residual SD (orginial)38.2490100328779
Residual SD (transformed)38.2060610811287

\begin{tabular}{lllllllll}
\hline
Box-Cox Linearity Plot \tabularnewline
# observations x & 132 \tabularnewline
maximum correlation & 0.0474712321783223 \tabularnewline
optimal lambda(x) & -2 \tabularnewline
Residual SD (orginial) & 38.2490100328779 \tabularnewline
Residual SD (transformed) & 38.2060610811287 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=155261&T=1

[TABLE]
[ROW][C]Box-Cox Linearity Plot[/C][/ROW]
[ROW][C]# observations x[/C][C]132[/C][/ROW]
[ROW][C]maximum correlation[/C][C]0.0474712321783223[/C][/ROW]
[ROW][C]optimal lambda(x)[/C][C]-2[/C][/ROW]
[ROW][C]Residual SD (orginial)[/C][C]38.2490100328779[/C][/ROW]
[ROW][C]Residual SD (transformed)[/C][C]38.2060610811287[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=155261&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=155261&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 x132
maximum correlation0.0474712321783223
optimal lambda(x)-2
Residual SD (orginial)38.2490100328779
Residual SD (transformed)38.2060610811287


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')