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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 computationSun, 08 Nov 2009 07:20:06 -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/08/t1257690034vn57zkzepxucd0i.htm/, Retrieved Sat, 04 May 2024 10:28:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=54549, Retrieved Sat, 04 May 2024 10:28:01 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact127

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] [Box-Cox Linearity...] [2009-11-08 14:20:06] [1aecede37375310a889a187dca5e5c0a] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
90.21
93.24
95.60
97.58
100.81
101.65
102.08
100.18
101.36
103.46
106.59
107.24
107.84
110.08
114.34
120.00
124.78
128.21
127.48
124.39
116.83
121.13
126.39
129.92
135.43
137.43
140.42
145.42
147.35
142.58
150.25
153.71
151.23
149.32
137.53
140.60
145.14
134.34
134.72
125.81
121.77
120.24
126.24
124.39
114.68
99.24
99.71
96.94
71.92
65.92
60.96
62.35
59.26
54.65
61.01
67.15
66.42
67.77
75.05
79.95
Dataseries Y:
Download CSV
Histogram 
95.40
99.31
101.80
100.53
102.28
101.89
98.08
98.98
100.02
100.58
100.67
100.46
98.47
102.01
103.28
103.70
104.64
106.31
107.16
108.10
104.90
105.27
107.37
110.01
114.11
116.22
118.06
119.35
120.48
117.02
121.66
127.88
128.58
130.42
126.28
129.31
132.59
125.91
127.88
119.59
118.46
116.31
120.72
122.21
115.00
107.99
109.98
106.01
87.58
82.17
81.99
80.08
73.35
69.01
76.23
80.10
81.96
82.79
89.42
91.90

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'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=54549&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=54549&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=54549&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Box-Cox Linearity Plot
# observations x60
maximum correlation0.94205099499376
optimal lambda(x)0.61
Residual SD (orginial)5.31656777323801
Residual SD (transformed)5.26359311719624

\begin{tabular}{lllllllll}
\hline
Box-Cox Linearity Plot \tabularnewline
# observations x & 60 \tabularnewline
maximum correlation & 0.94205099499376 \tabularnewline
optimal lambda(x) & 0.61 \tabularnewline
Residual SD (orginial) & 5.31656777323801 \tabularnewline
Residual SD (transformed) & 5.26359311719624 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=54549&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]0.94205099499376[/C][/ROW]
[ROW][C]optimal lambda(x)[/C][C]0.61[/C][/ROW]
[ROW][C]Residual SD (orginial)[/C][C]5.31656777323801[/C][/ROW]
[ROW][C]Residual SD (transformed)[/C][C]5.26359311719624[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=54549&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=54549&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 correlation0.94205099499376
optimal lambda(x)0.61
Residual SD (orginial)5.31656777323801
Residual SD (transformed)5.26359311719624


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')