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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 computationWed, 11 Nov 2009 14:19:27 -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/11/t12579744313wivnsaq09t1zqb.htm/, Retrieved Sat, 27 Apr 2024 02:43:05 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=55845, Retrieved Sat, 27 Apr 2024 02:43:05 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsRob_WS6_boxcox
Estimated Impact140
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] [] [2009-11-11 21:19:27] [9002751dd674b8c934bf183fdf4510e9] [Current]
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Dataseries X:
100.30
101.90
102.10
103.20
103.70
106.20
107.70
109.90
111.70
114.90
116.00
118.30
120.40
126.00
128.10
130.10
130.80
133.60
134.20
135.50
136.20
139.10
139.00
139.60
138.70
140.90
141.30
141.80
142.00
144.50
144.60
145.50
146.80
149.50
149.90
150.10
150.90
152.80
153.10
154.00
154.90
156.90
158.40
159.70
160.20
163.20
163.70
164.40
163.70
165.50
165.60
166.80
167.50
170.60
170.90
172.00
171.80
173.90
174.00
173.80
173.90
176.00
176.60
178.20
179.20
181.30
181.80
182.90
183.80
186.30
187.40
189.20
189.70
191.90
192.60
193.70
194.20
197.60
199.30
201.40
203.00
206.30
207.10
209.80
211.10
215.30
217.40
215.50
210.90
212.60
Dataseries Y:
100.00
102.83
109.50
115.91
107.94
110.86
118.89
123.38
113.33
116.38
122.04
125.47
115.62
117.91
122.40
125.05
114.18
114.74
120.63
123.68
112.84
115.64
122.32
124.59
116.33
117.45
125.64
128.38
119.87
121.22
128.98
131.35
121.35
123.72
131.06
134.55
125.93
128.90
136.19
140.34
130.48
134.68
141.05
145.44
136.21
139.85
147.13
151.44
143.62
148.55
153.54
159.79
152.55
155.84
160.38
164.22
156.40
160.05
165.60
171.15
161.90
167.21
171.34
176.83
166.27
172.30
176.71
182.99
172.07
178.17
182.20
188.49
176.88
182.13
185.32
192.86
180.27
184.92
187.82
194.94
184.36
188.80
193.42
199.76
188.78
191.49
194.87
198.28
183.24
204.87




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=55845&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=55845&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=55845&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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Box-Cox Linearity Plot
# observations x90
maximum correlation0.96271029453844
optimal lambda(x)2
Residual SD (orginial)8.88448547001809
Residual SD (transformed)7.92975813312387

\begin{tabular}{lllllllll}
\hline
Box-Cox Linearity Plot \tabularnewline
# observations x & 90 \tabularnewline
maximum correlation & 0.96271029453844 \tabularnewline
optimal lambda(x) & 2 \tabularnewline
Residual SD (orginial) & 8.88448547001809 \tabularnewline
Residual SD (transformed) & 7.92975813312387 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=55845&T=1

[TABLE]
[ROW][C]Box-Cox Linearity Plot[/C][/ROW]
[ROW][C]# observations x[/C][C]90[/C][/ROW]
[ROW][C]maximum correlation[/C][C]0.96271029453844[/C][/ROW]
[ROW][C]optimal lambda(x)[/C][C]2[/C][/ROW]
[ROW][C]Residual SD (orginial)[/C][C]8.88448547001809[/C][/ROW]
[ROW][C]Residual SD (transformed)[/C][C]7.92975813312387[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=55845&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=55845&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 x90
maximum correlation0.96271029453844
optimal lambda(x)2
Residual SD (orginial)8.88448547001809
Residual SD (transformed)7.92975813312387



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')