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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 computationThu, 13 Nov 2008 10:35:57 -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/2008/Nov/13/t12265977830ususrnr9y6pird.htm/, Retrieved Sun, 19 May 2024 12:02:14 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=24726, Retrieved Sun, 19 May 2024 12:02:14 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact186
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F       [Box-Cox Linearity Plot] [EDA various q3] [2008-11-13 17:35:57] [3452c99afdd85d4fde81272403cd85da] [Current]
-    D    [Box-Cox Linearity Plot] [verbetering] [2008-11-20 14:54:38] [3a9fc6d5b5e0e816787b7dbace57e7cd]
Feedback Forum
2008-11-20 15:01:18 [Gert-Jan Geudens] [reply
Ook hier klopt de berekening van de student niet aangezien de datum is opgenomen. We zullen illustreren hoe het wel moet aan de hand van het volgende voorbeelde met het totaal niet-werkenden werkzoeken op de x-as en de -25jaar niet-werkenden werkzoekenden op de y-as

http://www.freestatistics.org/blog/date/2008/Nov/20/t1227193031p9m2t9kt7b35xot.htm

De lineaire transformatie werkt dankzij het invoeren van een lambda. We zien dat bij een lambda van +2 de correlatie ongeveer het grootst is. We zien echter dat deze transformatie weinig zin heeft aangezien de correlatie tussen beide variabelen maar miniem gestegen is (van 0.957 naar 0.961). Ook uit de scatterplots kan je afleiden dat het lineair verband van de correlatie amper gestegen is. De transformatie heeft hier ook echter weinig nu aangezien de correlatie oorspronkelijk al zeer groot was.
2008-11-24 20:16:39 [94a54c888ac7f7d6874c3108eb0e1808] [reply
Geen conclusie.
Bekijk de feedback hier boven met de juiste link. Ik vermoed dat die student dezelfde tijdreeks heeft.

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Dataseries X:
114971
105531
104919
104782
101281
94545
93248
84031
87486
115867
120327
117008
108811
Dataseries Y:
31/10/2007
30/11/2007
31/12/2007
31/01/2008
29/02/2008
31/03/2008
30/04/2008
31/05/2008
30/06/2008
31/07/2008
31/08/2008
30/09/2008
31/10/2008




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 3 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=24726&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=24726&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=24726&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 time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001







Box-Cox Linearity Plot
# observations x13
maximum correlation0.193782775526146
optimal lambda(x)2
Residual SD (orginial)0.00385761599000612
Residual SD (transformed)0.00384384257396173

\begin{tabular}{lllllllll}
\hline
Box-Cox Linearity Plot \tabularnewline
# observations x & 13 \tabularnewline
maximum correlation & 0.193782775526146 \tabularnewline
optimal lambda(x) & 2 \tabularnewline
Residual SD (orginial) & 0.00385761599000612 \tabularnewline
Residual SD (transformed) & 0.00384384257396173 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=24726&T=1

[TABLE]
[ROW][C]Box-Cox Linearity Plot[/C][/ROW]
[ROW][C]# observations x[/C][C]13[/C][/ROW]
[ROW][C]maximum correlation[/C][C]0.193782775526146[/C][/ROW]
[ROW][C]optimal lambda(x)[/C][C]2[/C][/ROW]
[ROW][C]Residual SD (orginial)[/C][C]0.00385761599000612[/C][/ROW]
[ROW][C]Residual SD (transformed)[/C][C]0.00384384257396173[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=24726&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=24726&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 x13
maximum correlation0.193782775526146
optimal lambda(x)2
Residual SD (orginial)0.00385761599000612
Residual SD (transformed)0.00384384257396173



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')