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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 computationMon, 09 Nov 2009 03:01:50 -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/09/t12577610231uvt5izxj9rhtz2.htm/, Retrieved Fri, 19 Apr 2024 13:58:27 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=54699, Retrieved Fri, 19 Apr 2024 13:58:27 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact164
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] [Box-Cox Lin Plot ...] [2009-11-09 10:01:50] [4f297b039e1043ebee7ff7a83b1eaaaa] [Current]
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Dataseries X:
124.06
124.58
122.00
124.02
124.16
124.29
123.93
124.62
121.81
124.14
124.31
125.15
125.35
125.48
124.17
125.33
124.46
123.39
123.14
122.24
119.31
120.87
120.43
119.41
118.85
119.08
117.25
118.51
118.42
118.56
117.97
117.98
115.25
117.23
117.08
116.83
117.17
117.73
115.74
116.99
116.90
116.49
115.84
115.92
113.32
114.84
114.75
114.84
115.03
115.03
112.99
114.15
113.77
113.57
113.38
112.71
110.27
111.73
112.12
112.31
111.73
111.83
109.99
111.15
111.25
110.87
110.27
110.18
108.15
109.60
109.60
109.41
109.80
109.60
107.76
109.02
108.62
109.02
109.22
108.92
106.69
107.76
107.66
107.85
107.95
107.85
106.30
107.37
107.66
107.46
107.37
107.18
105.43
106.39
106.50
106.50
106.69
106.50
105.14
106.50
106.20
105.72
104.76
104.55
102.71
104.36
104.65
104.46
104.65
103.88
102.32
103.39
103.00
102.71
102.51
102.04
100.00
Dataseries Y:
241.66
251.25
230.26
240.91
211.20
188.19
177.01
167.85
174.03
170.09
203.42
254.97
342.84
386.29
440.51
433.58
408.13
370.32
355.51
332.62
314.62
301.73
306.31
282.98
266.48
249.97
259.87
246.24
238.36
238.04
224.19
214.71
203.11
221.00
211.73
209.39
217.48
242.19
244.64
232.07
235.80
230.37
209.82
206.41
209.60
192.24
186.17
193.41
202.36
203.00
190.64
185.43
171.58
179.57
180.42
162.10
157.95
146.66
154.43
163.38
150.92
151.98
144.74
140.37
143.36
135.79
134.73
126.42
124.72
117.90
114.07
112.26
105.44
110.77
107.68
105.76
102.03
100.22
111.62
118.11
111.72
103.42
97.13
103.10
104.91
100.22
98.52
95.32
96.92
96.60
92.55
82.75
80.84
79.13
79.77
85.10
96.39
97.56
96.39
101.18
103.52
100.11
99.26
104.48
101.29
100.33
115.24
113.64
115.35
108.42
105.65
108.64
104.80
95.43
104.48
103.84
100.01




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=54699&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=54699&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=54699&T=0

As an alternative you can also use a 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'George Udny Yule' @ 72.249.76.132







Box-Cox Linearity Plot
# observations x117
maximum correlation0.85382281312692
optimal lambda(x)2
Residual SD (orginial)43.3676082174874
Residual SD (transformed)43.1469710788193

\begin{tabular}{lllllllll}
\hline
Box-Cox Linearity Plot \tabularnewline
# observations x & 117 \tabularnewline
maximum correlation & 0.85382281312692 \tabularnewline
optimal lambda(x) & 2 \tabularnewline
Residual SD (orginial) & 43.3676082174874 \tabularnewline
Residual SD (transformed) & 43.1469710788193 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=54699&T=1

[TABLE]
[ROW][C]Box-Cox Linearity Plot[/C][/ROW]
[ROW][C]# observations x[/C][C]117[/C][/ROW]
[ROW][C]maximum correlation[/C][C]0.85382281312692[/C][/ROW]
[ROW][C]optimal lambda(x)[/C][C]2[/C][/ROW]
[ROW][C]Residual SD (orginial)[/C][C]43.3676082174874[/C][/ROW]
[ROW][C]Residual SD (transformed)[/C][C]43.1469710788193[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=54699&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=54699&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Box-Cox Linearity Plot
# observations x117
maximum correlation0.85382281312692
optimal lambda(x)2
Residual SD (orginial)43.3676082174874
Residual SD (transformed)43.1469710788193



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')