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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, 13 Nov 2009 06:56:54 -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/2009/Nov/13/t1258120697h0gy44l6qglu51y.htm/, Retrieved Sun, 05 May 2024 12:03:05 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=56633, Retrieved Sun, 05 May 2024 12:03:05 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact117

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] [3/11/2009] [2009-11-02 21:47:57] [b98453cac15ba1066b407e146608df68]
-    D    [Box-Cox Linearity Plot] [] [2009-11-13 13:56:54] [54f12ba6dfaf5b88c7c2745223d9c32f] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
100
96,66958808
91,06047327
89,04469763
82,90972831
84,04907975
91,76161262
90,09640666
85,97721297
99,82471516
70,90271691
83,87379492
99,21121823
92,81332165
95,3549518
89,65819457
86,76599474
88,25591586
101,2269939
88,25591586
96,3190184
100,4382121
74,84662577
88,08063103
100,6134969
102,1034181
98,94829097
89,39526731
92,90096407
92,28746713
104,1191937
92,98860649
95,79316389
102,716915
81,06923751
91,32340053
98,5977213
107,2743208
99,29886065
87,64241893
97,02015776
98,86064855
96,23137599
102,8045574
95,61787905
101,5775635
84,13672217
87,46713409
102,3663453
101,4022787
87,11656442
82,64680105
79,75460123
81,68273444
90,35933392
82,47151621
80,45574058
90,00876424
72,39263804
78,08939527
Dataseries Y:
Download CSV
Histogram 
100
111,8629088
94,1225572
67,79436315
146,0424236
125,6555043
142,8655602
130,0304429
110,0117843
132,789944
88,23529412
91,96700383
96,65128155
97,14720613
90,7345576
52,52872434
156,9085731
144,8787194
169,4294412
133,3840715
131,2776196
116,32623
89,15349111
85,08298144
89,38917804
103,0884808
85,34812923
45,9933222
152,823333
130,3692429
150,5008347
126,971423
123,2446234
126,5737013
100,2553275
91,76077777
100,2847884
121,6537366
97,28960031
62,54541884
154,9936168
147,8493568
147,3976235
156,8005499
126,8093882
131,7637239
99,20946676
87,34655799
100,7561622
110,5666307
76,46076795
56,51085142
124,9484435
118,2853776
136,4332711
128,6212315
100,7365217
111,7499754
93,43022685
83,3300599

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=56633&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=56633&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=56633&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 correlation0.314273923905249
optimal lambda(x)2
Residual SD (orginial)26.8436170040198
Residual SD (transformed)26.8348500573646

\begin{tabular}{lllllllll}
\hline
Box-Cox Linearity Plot \tabularnewline
# observations x & 60 \tabularnewline
maximum correlation & 0.314273923905249 \tabularnewline
optimal lambda(x) & 2 \tabularnewline
Residual SD (orginial) & 26.8436170040198 \tabularnewline
Residual SD (transformed) & 26.8348500573646 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=56633&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]0.314273923905249[/C][/ROW]
[ROW][C]optimal lambda(x)[/C][C]2[/C][/ROW]
[ROW][C]Residual SD (orginial)[/C][C]26.8436170040198[/C][/ROW]
[ROW][C]Residual SD (transformed)[/C][C]26.8348500573646[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=56633&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=56633&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 correlation0.314273923905249
optimal lambda(x)2
Residual SD (orginial)26.8436170040198
Residual SD (transformed)26.8348500573646


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')