Repository of Reproducible Computations

Free Statistics

of Irreproducible Research!

Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_boxcoxlin.wasp

Title produced by software

Box-Cox Linearity Plot

Date of computation

Fri, 11 Dec 2015 21:55:28 +0000

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Dec/11/t1449870939nb3oodi5ku3eqpn.htm/, Retrieved Thu, 16 May 2024 13:50:15 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=286039, Retrieved Thu, 16 May 2024 13:50:15 +0000

QR Codes:

Paste this QR Code to cite your computation.

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

104

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-     [Two-Way ANOVA] [] [2015-11-16 17:14:42] [32b17a345b130fdf5cc88718ed94a974]
- RMPD  [Exponential Smoothing] [] [2015-12-11 21:11:55] [0e2e3dbefef1c665f3752d42409bac25]
- RM D    [(Partial) Autocorrelation Function] [] [2015-12-11 21:47:51] [0e2e3dbefef1c665f3752d42409bac25]
- RM D        [Box-Cox Linearity Plot] [] [2015-12-11 21:55:28] [074449c5cdcdb4dafd7dd3585d12ae02] [Current]

Feedback Forum

Post a new message

Dataseries X:

Download CSV

Histogram

Boxplots

1.4
1.5
1.8
1.8
1.8
1.7
1.5
1.1
1.3
1.6
1.9
1.9
2
2.2
2.2
2
2.3
2.6
3.2
3.2
3.1
2.8
2.3
1.9
1.9
2
2
1.8
1.6
1.4
0.2
0.3
0.4
0.7
1
1.1
0.8
0.8
1
1.1
1
0.8
1.6
1.5
1.6
1.6
1.6
1.9
2
1.9
2
2.1
2.3
2.3
2.6
2.6
2.7
2.6
2.6
2.4
2.5
2.5
2.5
2.4
2.1
2.1
2.3
2.3
2.3
2.9
2.8
2.9
3
3
2.9
2.6
2.8
2.9
3.1
2.8
2.4
1.6
1.5
1.7

Dataseries Y:

Download CSV

Histogram

0.0013999990894105
0.0876771622176185
0.253920154859331
-0.0329407507841036
0.00427395855379008
-0.0889668134958849
-0.165281368150775
-0.33220433089751
0.219927126513421
0.236701919529402
0.234525437835356
-0.0304289243382355
0.0953913592916723
0.222671044416315
0.0914666084830592
-0.206034580848975
0.317983507811223
0.209887369047125
0.47505736015715
-0.222062521324981
0.0119408639911758
-0.172481528037084
-0.342720660187122
-0.343867756086308
0.088435724392957
0.207149951929822
0.0343760117343465
-0.301707672057424
-0.0110173444677831
-0.0691482212286872
-0.925838573157798
0.137673245546374
0.0727565374056945
0.201173883123843
0.0856783035058499
-0.109577212438584
-0.260551934204086
0.147885882041203
0.212413648519748
-0.0832851309957541
-0.115216896092894
-0.221533847078893
0.33793754507397
-0.134446101735477
0.164631582429395
0.0888222485881065
0.0469533479921545
0.241738416214495
-0.0752540261587926
-0.0299598595890917
0.225881103587503
0.0412636104361186
0.128108276344458
-0.141250457347375
0.481091241511557
-0.11016711751824
0.191801843198123
-0.066757083135655
0.0394798962983962
-0.0743907512944395
0.0864476825544102
-0.0321810065262648
0.121406171476103
-0.0784677853924106
-0.219288911182277
-0.0373619502368736
0.449190378168538
-0.083495394142657
0.104571843583723
0.564217976443139
-0.156913984252991
0.0837627464269975
0.129666943943497
-0.0279018187223396
-0.0344326851573588
-0.328655799589801
0.121385421475263
0.0494710079304724
0.428353319793773
-0.368885964978714
-0.302589451991359
-0.45541145100303
-0.0851366312257987
0.244537840690697

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	'Sir Maurice George Kendall' @ kendall.wessa.net

\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 Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286039&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 Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286039&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286039&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	'Sir Maurice George Kendall' @ kendall.wessa.net

Box-Cox Linearity Plot
# observations x	84
maximum correlation	0.378026851589372
optimal lambda(x)	-2
Residual SD (orginial)	0.22854609051114
Residual SD (transformed)	0.216658746853703

\begin{tabular}{lllllllll}
\hline
Box-Cox Linearity Plot \tabularnewline
# observations x & 84 \tabularnewline
maximum correlation & 0.378026851589372 \tabularnewline
optimal lambda(x) & -2 \tabularnewline
Residual SD (orginial) & 0.22854609051114 \tabularnewline
Residual SD (transformed) & 0.216658746853703 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286039&T=1

[TABLE]
[ROW][C]Box-Cox Linearity Plot[/C][/ROW]
[ROW][C]# observations x[/C][C]84[/C][/ROW]
[ROW][C]maximum correlation[/C][C]0.378026851589372[/C][/ROW]
[ROW][C]optimal lambda(x)[/C][C]-2[/C][/ROW]
[ROW][C]Residual SD (orginial)[/C][C]0.22854609051114[/C][/ROW]
[ROW][C]Residual SD (transformed)[/C][C]0.216658746853703[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286039&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286039&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	84
maximum correlation	0.378026851589372
optimal lambda(x)	-2
Residual SD (orginial)	0.22854609051114
Residual SD (transformed)	0.216658746853703

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Figure 3

PNG link

Postscript link

PDF link

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]
}
}
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)
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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code