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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 computationThu, 17 Dec 2009 22:12:56 +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/2009/Dec/17/t12610844387pu4irmjrmuvqse.htm/, Retrieved Tue, 30 Apr 2024 07:51:34 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=69115, Retrieved Tue, 30 Apr 2024 07:51:34 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact157

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [] [2009-12-17 19:09:08] [b98453cac15ba1066b407e146608df68]
- RMPD    [Box-Cox Linearity Plot] [] [2009-12-17 21:12:56] [d76b387543b13b5e3afd8ff9e5fdc89f] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
7.7
7.5
8.3
7.8
7.9
6.6
7
8.2
8.2
9.1
9
7.1
8.9
8.5
9.8
8.8
9.2
7.4
8.3
9.7
9.7
10.8
9.8
7.9
9.8
9
10.5
9.5
9.7
8.1
10.1
11.1
11.2
12.6
12.2
9.9
11.8
11.1
12.6
11.9
11.9
10
10.8
12.9
12.5
13.8
13.1
10.5
12.9
12.9
14.4
12.7
13.3
11
11.9
14.1
14.4
14.9
15.7
12
14.3
14.2
17.4
15.1
15.3
12.6
14
16.6
16.7
17.6
18.3
13.6
15.8
16.1
18.6
17.3
17
13.9
15.2
17.8
18
19.4
21.8
16.2
19.2
19.5
22
20
19.2
16.9
20
20.4
21.8
25
25.8
19.4
22.6
24.1
26.9
24.9
23.3
20.3
22.3
23.7
24.3
31.7
32.2
25.4
28.6
28.7
30.9
31.4
29.1
26.3
28.9
28.9
31
33.4
35.9
25.8
31.2
31.7
36.2
32
32.1
28.1
31.1
31.9
32
36.6
38.1
28.1
32.9
30.7
35.4
33.7
31.6
27.9
32.2
32.3
35.3
37.2
39.6
28.4
33.9
33.7
38.3
34.6
32.7
29.5
32
33.2
36.7
38.6
38.1
29.8
35.6
33.2
38.9
34.8
37.2
29.7
32.2
32.1
36.3
38.4
40.8
31.3
36.2
35.1
44.1
39.3
34.1
32.4
36.3
36.8
40.5
46
43.9
37.2
40.7
42
49.2
42.3
40.8
37.6
Dataseries Y:
Download CSV
Histogram 
277
260.6
291.6
275.4
275.3
231.7
238.8
274.2
277.8
299.1
286.6
232.3
294.1
267.5
309.7
280.7
287.3
235.7
256.4
289
290.8
321.9
291.8
241.4
295.5
258.2
306.1
281.5
283.1
237.4
274.8
299.3
300.4
340.9
318.8
265.7
322.7
281.6
323.5
312.6
310.8
262.8
273.8
320
310.3
342.2
320.1
265.6
327
300.7
346.4
317.3
326.2
270.7
278.2
324.6
321.8
343.5
354
278.2
330.2
307.3
375.9
335.3
339.3
280.3
293.7
341.2
345.1
368.7
369.4
288.4
341
319.1
374.2
344.5
337.3
281
282.2
321
325.4
366.3
380.3
300.7
359.3
327.6
383.6
352.4
329.4
294.5
333.5
334.3
358
396.1
387
307.2
363.9
344.7
397.6
376.8
337.1
299.3
323.1
329.1
347
462
436.5
360.4
415.5
382.1
432.2
424.3
386.7
354.5
375.8
368
402.4
426.5
433.3
338.5
416.8
381.1
445.7
412.4
394
348.2
380.1
373.7
393.6
434.2
430.7
344.5
411.9
370.5
437.3
411.3
385.5
341.3
384.2
373.2
415.8
448.6
454.3
350.3
419.1
398
456.1
430.1
399.8
362.7
384.9
385.3
432.3
468.9
442.7
370.2
439.4
393.9
468.7
438.8
430.1
366.3
391
380.9
431.4
465.4
471.5
387.5
446.4
421.5
504.8
492.1
421.3
396.7
428
421.9
465.6
525.8
499.9
435.3
479.5
473
554.4
489.6
462.2
420.3

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=69115&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=69115&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69115&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 time3 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk






Box-Cox Linearity Plot
# observations x186
maximum correlation0.944518732673409
optimal lambda(x)1.29
Residual SD (orginial)22.2673301289322
Residual SD (transformed)22.0611707087741

\begin{tabular}{lllllllll}
\hline
Box-Cox Linearity Plot \tabularnewline
# observations x & 186 \tabularnewline
maximum correlation & 0.944518732673409 \tabularnewline
optimal lambda(x) & 1.29 \tabularnewline
Residual SD (orginial) & 22.2673301289322 \tabularnewline
Residual SD (transformed) & 22.0611707087741 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=69115&T=1

[TABLE]
[ROW][C]Box-Cox Linearity Plot[/C][/ROW]
[ROW][C]# observations x[/C][C]186[/C][/ROW]
[ROW][C]maximum correlation[/C][C]0.944518732673409[/C][/ROW]
[ROW][C]optimal lambda(x)[/C][C]1.29[/C][/ROW]
[ROW][C]Residual SD (orginial)[/C][C]22.2673301289322[/C][/ROW]
[ROW][C]Residual SD (transformed)[/C][C]22.0611707087741[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=69115&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69115&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 x186
maximum correlation0.944518732673409
optimal lambda(x)1.29
Residual SD (orginial)22.2673301289322
Residual SD (transformed)22.0611707087741


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = FALSE ; par2 = 0.0 ; par3 = 1 ; par4 = 1 ; par5 = 12 ; par6 = 3 ; par7 = 0 ; par8 = 2 ; par9 = 1 ;
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')