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Author's title

Author*Unverified author*
R Software Modulerwasp_boxcoxlin.wasp
Title produced by softwareBox-Cox Linearity Plot
Date of computationFri, 12 Dec 2008 06:15:06 -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/Dec/12/t1229087762ganyscxvmhrqoxk.htm/, Retrieved Tue, 21 May 2024 03:39:50 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=32684, Retrieved Tue, 21 May 2024 03:39:50 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsmarie
Estimated Impact161
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Box-Cox Linearity Plot] [Box cox] [2008-12-12 13:15:06] [a1f1fdabaee79c21770ea0f7b7f045f3] [Current]
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Dataseries X:
21863
20403
18792
17931
16475
16205
25134
31896
26537
22801
20200
19666
19809
18799
17884
17512
16327
16880
26537
31867
29427
25800
22041
21759
21333
20462
19594
18564
17640
18614
32562
35640
31865
28117
25508
25006
24452
22643
21474
20500
19505
21769
36062
38633
34629
30184
27271
26841
26482
25538
23789
22386
21087
22891
36192
38922
34669
30197
27001
25891
24879
23662
22741
21615
20305
21877
35369
37941
33480
29757
26323
25359
22207
21763
19944
19662
18624
19902
31726
32860
28894
22949
19758
18420
18245
16761
15341
14271
13418
15218
26485
27457
21402
17879
15607
15626
15303
14296
13686
12948
11609
14602
23629
24680
Dataseries Y:
60804
57907
54355
52536
49081
48877
64599
75314
71209
65210
59829
57656
57428
55315
52790
51050
48519
48354
65333
73990
72755
67424
59214
57427
56681
55437
53600
51641
49478
50124
71313
76208
74387
69520
64735
63413
62553
60109
57764
55667
53103
55301
76795
80928
79213
72759
67802
66940
66396
67539
67776
68014
68251
68488
68725
68962
69200
69437
68212
65444
63181
61198
59010
56388
53723
55340
75352
79817
78289
71892
66448
64167
61250
59580
56417
54662
53349
55385
73546
77683
74995
67282
60742
57283
57314
54704
51578
49962
46252
47234
64708
68753
62970
57474
52494
51831
51663
49637
46679
45557
41630
44417
60070
63157




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32684&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32684&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32684&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 time1 seconds
R Server'George Udny Yule' @ 72.249.76.132







Box-Cox Linearity Plot
# observations x104
maximum correlation0.941701553459141
optimal lambda(x)0.08
Residual SD (orginial)3399.05312901171
Residual SD (transformed)3121.87390626129

\begin{tabular}{lllllllll}
\hline
Box-Cox Linearity Plot \tabularnewline
# observations x & 104 \tabularnewline
maximum correlation & 0.941701553459141 \tabularnewline
optimal lambda(x) & 0.08 \tabularnewline
Residual SD (orginial) & 3399.05312901171 \tabularnewline
Residual SD (transformed) & 3121.87390626129 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32684&T=1

[TABLE]
[ROW][C]Box-Cox Linearity Plot[/C][/ROW]
[ROW][C]# observations x[/C][C]104[/C][/ROW]
[ROW][C]maximum correlation[/C][C]0.941701553459141[/C][/ROW]
[ROW][C]optimal lambda(x)[/C][C]0.08[/C][/ROW]
[ROW][C]Residual SD (orginial)[/C][C]3399.05312901171[/C][/ROW]
[ROW][C]Residual SD (transformed)[/C][C]3121.87390626129[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32684&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32684&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 x104
maximum correlation0.941701553459141
optimal lambda(x)0.08
Residual SD (orginial)3399.05312901171
Residual SD (transformed)3121.87390626129



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')