## Free Statistics

of Irreproducible Research!

Author's title
Author*Unverified author*
R Software Modulerwasp_boxcoxlin.wasp
Title produced by softwareBox-Cox Linearity Plot
Date of computationMon, 16 Nov 2009 02:13:39 -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/16/t1258362883etc1me2v03bi9s8.htm/, Retrieved Fri, 02 Dec 2022 10:17:50 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=57324, Retrieved Fri, 02 Dec 2022 10:17:50 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact159
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Box-Cox Linearity Plot] [WS6 Box-Cox linea...] [2009-11-16 09:13:39] [2694a35f9be9144abd040893a0238ab5] [Current]
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Dataseries X:
92.9
107.7
103.5
91.1
79.8
71.9
82.9
90.1
100.7
90.7
108.8
44.1
93.6
107.4
96.5
93.6
76.5
76.7
84
103.3
88.5
99
105.9
44.7
94
107.1
104.8
102.5
77.7
85.2
91.3
106.5
92.4
97.5
107
51.1
98.6
102.2
114.3
99.4
72.5
92.3
99.4
85.9
109.4
97.6
104.7
56.9
86.7
108.5
103.4
86.2
71
75.9
87.1
102
88.5
87.8
100.8
50.6

Dataseries Y:
96.8
114.1
110.3
103.9
101.6
94.6
95.9
104.7
102.8
98.1
113.9
80.9
95.7
113.2
105.9
108.8
102.3
99
100.7
115.5
100.7
109.9
114.6
85.4
100.5
114.8
116.5
112.9
102
106
105.3
118.8
106.1
109.3
117.2
92.5
104.2
112.5
122.4
113.3
100
110.7
112.8
109.8
117.3
109.1
115.9
96
99.8
116.8
115.7
99.4
94.3
91
93.2
103.1
94.1
91.8
102.7
82.6


 Summary of computational transaction Raw Input view raw input (R code) Raw Output view raw output of R engine Computing time 2 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=57324&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=57324&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=57324&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 Input view raw input (R code) Raw Output view raw output of R engine Computing time 2 seconds R Server 'Gwilym Jenkins' @ 72.249.127.135

 Box-Cox Linearity Plot # observations x 60 maximum correlation 0.872432693377412 optimal lambda(x) 2 Residual SD (orginial) 4.8909268978389 Residual SD (transformed) 4.62651516240735

\begin{tabular}{lllllllll}
\hline
Box-Cox Linearity Plot \tabularnewline
# observations x & 60 \tabularnewline
maximum correlation & 0.872432693377412 \tabularnewline
optimal lambda(x) & 2 \tabularnewline
Residual SD (orginial) & 4.8909268978389 \tabularnewline
Residual SD (transformed) & 4.62651516240735 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=57324&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]0.872432693377412[/C][/ROW]
[ROW][C]optimal lambda(x)[/C][C]2[/C][/ROW]
[ROW][C]Residual SD (orginial)[/C][C]4.8909268978389[/C][/ROW]
[ROW][C]Residual SD (transformed)[/C][C]4.62651516240735[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=57324&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=57324&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 x 60 maximum correlation 0.872432693377412 optimal lambda(x) 2 Residual SD (orginial) 4.8909268978389 Residual SD (transformed) 4.62651516240735

n <- length(x)c <- array(NA,dim=c(401))l <- array(NA,dim=c(401))mx <- 0mxli <- -999for (i in 1:401){l[i] <- (i-201)/100if (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]}}cmxmxliif (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')