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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_boxcoxlin.wasp
Title produced by softwareBox-Cox Linearity Plot
Date of computationSun, 26 Dec 2021 00:05:28 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2021/Dec/26/t1640473651fhv21j7kunapt43.htm/, Retrieved Tue, 14 May 2024 05:51:21 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=319587, Retrieved Tue, 14 May 2024 05:51:21 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact55

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] [] [2021-12-25 23:05:28] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
18
38
15
20
18
36
20
43
45
65
43
38
33
10
50
10
50
15
53
60
18
38
15
20
18
36
20
43
45
65
43
38
33
10
50
10
50
15
53
15
37
15
18
11
35
20
40
50
36
50
38
10
75
10
85
13
50
58
58
48
12
63
10
63
13
28
35
63
13
45
9
20
18
35
20
38
50
70
40
21
19
10
33
16
5
32
23
30
45
33
25
12
53
36
5
63
43
25
73
45
52
9
30
22
56
15
45
Dataseries Y:
Download CSV
Histogram 
20.2
56
12.5
21.2
15.5
39
21
38.2
55.6
81.9
39.5
56.4
40.5
14.3
81.5
13.7
81.5
20.5
56
80.7
20
56.5
12.1
19.6
15.5
38.8
19.5
38
55
80
38.5
55.8
38.8
12.5
80.4
12.7
80.9
20.5
55
19
55.5
12.3
18.4
11.5
38
18.5
38
55.3
38.7
54.5
38
12
81.7
11.5
80
18.3
55.3
80.2
80.7
55.8
15
81
12
81.4
12.5
38.2
54.2
79.3
18.2
55.5
11.4
19.5
15.5
37.5
19.5
37.5
55.5
80
37.5
15.5
23.7
9.8
40.8
17.5
4.3
36.5
26.3
30.4
50.2
30.1
25.5
13.8
58.9
40
6
72.5
38.8
19.4
81.5
77.4
54.6
6.8
32.6
19.8
58.8
12.9
49

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=319587&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=319587&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319587&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center






Box-Cox Linearity Plot
# observations x107
maximum correlation0.945773622783609
optimal lambda(x)0.93
Residual SD (orginial)7.82757200802351
Residual SD (transformed)7.81415552314003

\begin{tabular}{lllllllll}
\hline
Box-Cox Linearity Plot \tabularnewline
# observations x & 107 \tabularnewline
maximum correlation & 0.945773622783609 \tabularnewline
optimal lambda(x) & 0.93 \tabularnewline
Residual SD (orginial) & 7.82757200802351 \tabularnewline
Residual SD (transformed) & 7.81415552314003 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=319587&T=1

[TABLE]
[ROW][C]Box-Cox Linearity Plot[/C][/ROW]
[ROW][C]# observations x[/C][C]107[/C][/ROW]
[ROW][C]maximum correlation[/C][C]0.945773622783609[/C][/ROW]
[ROW][C]optimal lambda(x)[/C][C]0.93[/C][/ROW]
[ROW][C]Residual SD (orginial)[/C][C]7.82757200802351[/C][/ROW]
[ROW][C]Residual SD (transformed)[/C][C]7.81415552314003[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=319587&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=319587&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 x107
maximum correlation0.945773622783609
optimal lambda(x)0.93
Residual SD (orginial)7.82757200802351
Residual SD (transformed)7.81415552314003


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))
mymin = min(x)
if(mymin < 0) {
x <- x - mymin +1
}
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]
}
}
print(c)
print(mx)
print(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)
if(mymin < 0) {
a<-table.element(a,'added constant term to x',header=TRUE)
a<-table.element(a,-mymin+1)
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')