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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_tukeylambda.wasp
Title produced by softwareTukey lambda PPCC Plot
Date of computationMon, 03 Dec 2007 05:00:56 -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/2007/Dec/03/t1196682550wmik7mm0ovwj29p.htm/, Retrieved Sat, 04 May 2024 03:47:02 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=2334, Retrieved Sat, 04 May 2024 03:47:02 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsex012008
Estimated Impact342

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Tukey lambda PPCC Plot] [residuals] [2007-12-03 12:00:56] [ef257666c09b3678397177defae7fd99] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
150.790688775846
-6258.83534189665
1179.70002837875
12383.4735350986
6452.27270900916
17925.4944763725
9257.68433920925
-11723.3498644816
9730.29130029668
1936.54617702668
-13491.8770530529
-13575.4890229713
16045.3501201983
31348.045275449
7731.3341195073
22856.4486960203
9073.2631337878
9741.59405237557
1332.23572230402
-4628.33356110052
-4607.73974806942
10468.3136697059
3481.88214736408
25028.6738442344
43679.0460797915
3133.96300715266
49119.3221578365
-29338.6167794636
-34798.4849473318
-18302.9667882799
-11186.9532031470
-30966.7969435158
7455.0861209843
8399.08769635226
-7128.66714707987
-710.3526687469
38360.0693181986
-86558.4287678845
-14187.9571747546
3452.42288668084
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10305.4208935305
17920.5309412364
1516.14971428292
160300.016991544
12283.5231099274
-7608.94694452296
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-51104.480478478
14051.3976851153
-26934.501973342
8297.05855141608
7997.75560146061
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-29104.6052892639
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-36655.7461215054
-21480.2013942902
22717.8851070332
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-43007.5042557363
17078.2355867197
-31075.4428611256
20753.5566469650
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12546.4353825002
53033.941150139
11101.0470118611
-27479.2194387895
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17607.2507747408
326551.315645887
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29501.4682467813
30906.0918468706
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1357.59845540812
-22560.9540910830
-12724.6492980212
1756.58704714364
-7765.37726810927
-10338.4454327962
-19622.9718791054

Tables (Output of Computation)





Summary of compuational 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 compuational 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=2334&T=0

[TABLE]
[ROW][C]Summary of compuational 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=2334&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2334&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 compuational 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






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.84818323553982
Exact Logistic (lambda=0)0.818039618866948
Approx. Normal (lambda=0.14)0.788629166853564
U-shaped (lambda=0.5)0.733151754496609
Exactly Uniform (lambda=1)0.699388033778625

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.84818323553982 \tabularnewline
Exact Logistic (lambda=0) & 0.818039618866948 \tabularnewline
Approx. Normal (lambda=0.14) & 0.788629166853564 \tabularnewline
U-shaped (lambda=0.5) & 0.733151754496609 \tabularnewline
Exactly Uniform (lambda=1) & 0.699388033778625 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=2334&T=1

[TABLE]
[ROW][C]Tukey Lambda - Key Values[/C][/ROW]
[ROW][C]Distribution (lambda)[/C][C]Correlation[/C][/ROW]
[ROW][C]Approx. Cauchy (lambda=-1)[/C][C]0.84818323553982[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.818039618866948[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.788629166853564[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.733151754496609[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.699388033778625[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=2334&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2334&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:

Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.84818323553982
Exact Logistic (lambda=0)0.818039618866948
Approx. Normal (lambda=0.14)0.788629166853564
U-shaped (lambda=0.5)0.733151754496609
Exactly Uniform (lambda=1)0.699388033778625


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = ward ; par2 = ALL ; par3 = FALSE ; par4 = FALSE ;
Parameters (R input):
R code (references can be found in the software module):
gp <- function(lambda, p)
{
(p^lambda-(1-p)^lambda)/lambda
}
sortx <- sort(x)
c <- array(NA,dim=c(201))
for (i in 1:201)
{
if (i != 101) c[i] <- cor(gp(ppoints(x), lambda=(i-101)/100),sortx)
}
bitmap(file='test1.png')
plot((-100:100)/100,c[1:201],xlab='lambda',ylab='correlation',main='PPCC Plot - Tukey lambda')
grid()
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Tukey Lambda - Key Values',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Distribution (lambda)',1,TRUE)
a<-table.element(a,'Correlation',1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Approx. Cauchy (lambda=-1)',header=TRUE)
a<-table.element(a,c[1])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Exact Logistic (lambda=0)',header=TRUE)
a<-table.element(a,(c[100]+c[102])/2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Approx. Normal (lambda=0.14)',header=TRUE)
a<-table.element(a,c[115])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'U-shaped (lambda=0.5)',header=TRUE)
a<-table.element(a,c[151])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Exactly Uniform (lambda=1)',header=TRUE)
a<-table.element(a,c[201])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')