FreeStatistics.org

Free Statistics

of Irreproducible Research!

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, 06 Dec 2009 08:47:52 -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/Dec/06/t12601145239lsoag1x8s8zwz4.htm/, Retrieved Sat, 27 Apr 2024 23:01:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=64437, Retrieved Sat, 27 Apr 2024 23:01:46 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsJSSHWPAP17
Estimated Impact153

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Notched Boxplots] [3/11/2009] [2009-11-02 21:10:41] [b98453cac15ba1066b407e146608df68]
- RMPD  [Univariate Explorative Data Analysis] [Tijdreeks 4] [2009-11-03 12:07:52] [214e6e00abbde49700521a7ef1d30da2]
- RMPD    [Kendall tau Correlation Matrix] [Kendal Tau Correl...] [2009-12-05 14:42:32] [214e6e00abbde49700521a7ef1d30da2]
- RM D        [Box-Cox Linearity Plot] [Box Cox Lineairit...] [2009-12-06 15:47:52] [c8fd62404619100d8e91184019148412] [Current]
- RMPD          [Bivariate Kernel Density Estimation] [Bivariate Kernal ...] [2009-12-10 16:40:47] [214e6e00abbde49700521a7ef1d30da2]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
369
380
474
413
537
439
355
473
435
478
450
365
315
340
326
483
406
409
423
404
551
467
332
442
305
368
411
318
398
586
367
383
533
527
418
576
359
342
456
406
374
568
335
458
456
386
457
396
366
499
354
365
594
456
366
398
468
609
418
352
Dataseries Y:
Download CSV
Histogram 
445
301
350
305
450
360
287
417
361
478
302
294
300
364
356
340
377
507
321
354
549
444
400
401
259
288
346
287
381
474
329
423
407
412
566
372
290
354
370
377
467
409
310
434
339
385
469
313
373
310
320
340
489
419
460
324
352
473
340
282

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64437&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=64437&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64437&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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Box-Cox Linearity Plot
# observations x60
maximum correlation0.524369031390842
optimal lambda(x)-0.13
Residual SD (orginial)60.1306124618009
Residual SD (transformed)60.0370816370354

\begin{tabular}{lllllllll}
\hline
Box-Cox Linearity Plot \tabularnewline
# observations x & 60 \tabularnewline
maximum correlation & 0.524369031390842 \tabularnewline
optimal lambda(x) & -0.13 \tabularnewline
Residual SD (orginial) & 60.1306124618009 \tabularnewline
Residual SD (transformed) & 60.0370816370354 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64437&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]0.524369031390842[/C][/ROW]
[ROW][C]optimal lambda(x)[/C][C]-0.13[/C][/ROW]
[ROW][C]Residual SD (orginial)[/C][C]60.1306124618009[/C][/ROW]
[ROW][C]Residual SD (transformed)[/C][C]60.0370816370354[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=64437&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64437&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 correlation0.524369031390842
optimal lambda(x)-0.13
Residual SD (orginial)60.1306124618009
Residual SD (transformed)60.0370816370354


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')