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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 computationTue, 11 Nov 2008 13:59:02 -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/11/t12264372359j8vzqd74nnaaui.htm/, Retrieved Sun, 19 May 2024 11:10:31 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=23968, Retrieved Sun, 19 May 2024 11:10:31 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact141
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Hierarchical Clustering] [Q2 ward] [2008-11-11 11:45:37] [1e1d8320a8a1170c475bf6e4ce119de6]
- RMPD  [Box-Cox Linearity Plot] [Q3 Box-Cox linear...] [2008-11-11 14:02:00] [1e1d8320a8a1170c475bf6e4ce119de6]
F    D      [Box-Cox Linearity Plot] [q3] [2008-11-11 20:59:02] [5d823194959040fa9b19b8c8302177e6] [Current]
Feedback Forum
2008-11-19 13:56:24 [2df1bcd103d52957f4a39bd4617794c8] [reply
Student concludeert correct dat de transformatie van de twee grafieken niet veel wijzigt aan de oorspronkelijke situatie.

Dit merken we ook op wanneer we de correlatie van beide grafieken met elkaar vergelijken.

Post a new message
Dataseries X:
3134.5
3510.5
4047.4
3580.8
3567.3
3920.1
3764.8
3139.3
4126.1
3920
3868.3
3414
3423.4
3819
4482.7
4040.4
3720.3
4405
3916.6
3540.5
4486.4
4213.6
4521.7
4102.3
3854.1
4106.5
4870.9
4559.7
4072.1
4687.7
4096.1
4107.2
4888
4256.2
4593.8
3888.2
4232.7
4386.2
5203.6
4456.6
4828.4
5244.6
4407.6
4809.3
5226.8
5290.2
5068.8
4425.2
4971
4806.9
5565.8
4754.9
5220
5684.3
4815.3
5114.4
5273.9
5602.6
5609.7
4168.9
Dataseries Y:
2236
2084.9
2409.5
2199.3
2203.5
2254.1
1975.8
1742.2
2520.6
2438.1
2126.3
2267.5
2201.1
2128.5
2596
2458.2
2210.5
2621.2
2231.4
2103.6
2685.8
2539.3
2462.4
2693.3
2307.7
2385.9
2737.6
2653.9
2545.4
2848.8
2359.5
2488.3
2861.1
2717.9
2844
2749
2652.9
2660.2
3187.1
2774.1
3158.2
3244.6
2665.5
2820.8
2983.4
3077.4
3024.8
2731.8
3046.2
2834.8
3292.8
2946.1
3196.9
3284.2
3003
2979
3137.4
3647.7
3283
2947.3




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=23968&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=23968&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=23968&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 x60
maximum correlation0.929639241219892
optimal lambda(x)1.21
Residual SD (orginial)146.301965079016
Residual SD (transformed)146.159158526301

\begin{tabular}{lllllllll}
\hline
Box-Cox Linearity Plot \tabularnewline
# observations x & 60 \tabularnewline
maximum correlation & 0.929639241219892 \tabularnewline
optimal lambda(x) & 1.21 \tabularnewline
Residual SD (orginial) & 146.301965079016 \tabularnewline
Residual SD (transformed) & 146.159158526301 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=23968&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]0.929639241219892[/C][/ROW]
[ROW][C]optimal lambda(x)[/C][C]1.21[/C][/ROW]
[ROW][C]Residual SD (orginial)[/C][C]146.301965079016[/C][/ROW]
[ROW][C]Residual SD (transformed)[/C][C]146.159158526301[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=23968&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=23968&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 x60
maximum correlation0.929639241219892
optimal lambda(x)1.21
Residual SD (orginial)146.301965079016
Residual SD (transformed)146.159158526301



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')