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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_tukeylambda.wasp
Title produced by softwareTukey lambda PPCC Plot
Date of computationFri, 18 Dec 2015 09:58:56 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Dec/18/t1450432754tu4537dk414weha.htm/, Retrieved Thu, 16 May 2024 21:50:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=286864, Retrieved Thu, 16 May 2024 21:50:01 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact109

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] [tukey lambda - head] [2015-12-11 11:39:49] [bcd8153d44f369b7624d3c1b4621c4c3]
-    D    [Tukey lambda PPCC Plot] [] [2015-12-18 09:58:56] [a05da232bd4bc389022edd498fae0565] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1530
1297
1335
1282
1590
1300
1400
1255
1355
1375
1340
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1355
1522
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1358
1292
1340
1400
1357
1287
1275
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1635
1505
1490
1485
1310
1420
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1432
1364
1405
1432
1207
1375
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1236
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1300
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1335
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1225
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1222
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1175
1330
1485
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1135
1310
1154
1510
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1468
1390
1380
1432
1240
1195
1225
1188
1252
1315
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1430
1279
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1309
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1120
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1440
1370
1192
1230
1346
1290
1165
1240
1132
1242
1270
1218
1430
1588
1320
1290
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1425
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1620
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1275
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1362
1300
1173
1256
1440
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1306
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1125
1165
1312
1300
1270
1335
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1310
1027
1235
1260
1165
1080
1127
1270
1252
1200
1290
1334
1380
1140
1243
1340
1168
1322
1249
1321
1192
1373
1170
1265
1235
1302
1241
1078
1520
1460
1075
1280
1180
1250
1190
1374
1306
1202
1240
1316
1280
1350
1180
1210
1127
1324
1210
1290
1100
1280
1175
1160
1205
1163
1022
1243
1350
1237
1204
1090
1355
1250
1076
1120
1220
1240
1220
1095
1235
1105
1405
1150
1305
1220
1296
1175
955
1070
1320
1060
1130
1250
1225
1180
1178
1142
1130
1185
1012
1280
1103
1408
1300
1246
1380
1350
1060
1350
1220
1110
1215
1104
1170
1120

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' @ jenkins.wessa.net

\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' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286864&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' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286864&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286864&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' @ jenkins.wessa.net






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.53110215911487
Exact Logistic (lambda=0)0.994983567255022
Approx. Normal (lambda=0.14)0.996708327739935
U-shaped (lambda=0.5)0.984458324178805
Exactly Uniform (lambda=1)0.969404179823503

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.53110215911487 \tabularnewline
Exact Logistic (lambda=0) & 0.994983567255022 \tabularnewline
Approx. Normal (lambda=0.14) & 0.996708327739935 \tabularnewline
U-shaped (lambda=0.5) & 0.984458324178805 \tabularnewline
Exactly Uniform (lambda=1) & 0.969404179823503 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286864&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]0.53110215911487[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.994983567255022[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.996708327739935[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.984458324178805[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.969404179823503[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286864&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286864&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)0.53110215911487
Exact Logistic (lambda=0)0.994983567255022
Approx. Normal (lambda=0.14)0.996708327739935
U-shaped (lambda=0.5)0.984458324178805
Exactly Uniform (lambda=1)0.969404179823503


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
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')