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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, 22 Oct 2007 12:59:15 -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/Oct/22/oi681zj3ppjrfnt1193082849.htm/, Retrieved Mon, 06 May 2024 02:40:09 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=1549, Retrieved Mon, 06 May 2024 02:40:09 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsQ8
Estimated Impact445

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F       [Tukey lambda PPCC Plot] [Investigating dis...] [2007-10-22 19:59:15] [3cbd35878d9bd3c68c81c01c5c6ec146] [Current]
F    D    [Tukey lambda PPCC Plot] [PPCC-plot Q8 (Aan...] [2008-10-22 15:05:33] [819b576fab25b35cfda70f80599828ec]
-    D    [Tukey lambda PPCC Plot] [Q8:Tukey Lambda] [2008-10-23 12:28:47] [1ce0d16c8f4225c977b42c8fa93bc163]
F R PD    [Tukey lambda PPCC Plot] [PPCC plot Inflatie] [2008-10-23 17:44:44] [e5d91604aae608e98a8ea24759233f66]
F    D    [Tukey lambda PPCC Plot] [Q8: Can you find ...] [2008-10-24 11:50:03] [1e1d8320a8a1170c475bf6e4ce119de6]
-    D      [Tukey lambda PPCC Plot] [Q8: Can you find ...] [2008-10-27 19:54:35] [988ab43f527fc78aae41c84649095267]
F    D    [Tukey lambda PPCC Plot] [Investigating Dis...] [2008-10-25 13:50:13] [063e4b67ad7d3a8a83eccec794cd5aa7]
F           [Tukey lambda PPCC Plot] [investigation dis...] [2008-10-27 21:23:20] [631938996a408f8d8cf3d9850ca0cd03]
F    D    [Tukey lambda PPCC Plot] [Q8 ppcc plot aanv...] [2008-10-25 14:20:43] [7173087adebe3e3a714c80ea2417b3eb]
F    D    [Tukey lambda PPCC Plot] [Investigating dis...] [2008-10-25 14:23:21] [5de5fb433ddcb9578e0fa830f795b7e9]
-    D      [Tukey lambda PPCC Plot] [investigating dis...] [2008-10-25 14:41:29] [5de5fb433ddcb9578e0fa830f795b7e9]
-    D        [Tukey lambda PPCC Plot] [Tukey lambda PPCC...] [2008-10-27 22:04:29] [74be16979710d4c4e7c6647856088456]
-               [Tukey lambda PPCC Plot] [Tukey lambda PPCC...] [2008-10-27 22:11:11] [74be16979710d4c4e7c6647856088456]
-    D      [Tukey lambda PPCC Plot] [Investigating dis...] [2008-10-25 14:47:25] [5de5fb433ddcb9578e0fa830f795b7e9]
-    D      [Tukey lambda PPCC Plot] [Investigating dis...] [2008-10-25 14:50:49] [5de5fb433ddcb9578e0fa830f795b7e9]
F    D    [Tukey lambda PPCC Plot] [] [2008-10-25 15:08:13] [4c8dfb519edec2da3492d7e6be9a5685]
F    D      [Tukey lambda PPCC Plot] [] [2008-10-27 17:09:14] [077ffec662d24c06be4c491541a44245]
- R  D    [Tukey lambda PPCC Plot] [vraag 3: Q8 distr...] [2008-10-25 15:45:34] [82d201ca7b4e7cd2c6f885d29b5b6937]
F    D    [Tukey lambda PPCC Plot] [vraag 8] [2008-10-26 11:09:06] [c45c87b96bbf32ffc2144fc37d767b2e]
-    D    [Tukey lambda PPCC Plot] [a symmestric dist...] [2008-10-26 14:12:39] [5e74953d94072114d25d7276793b561e]
F    D    [Tukey lambda PPCC Plot] [lamba] [2008-10-26 14:37:31] [252acdb58d8522ab27f61fa1e87b5efe]
-    D    [Tukey lambda PPCC Plot] [Q8] [2008-10-26 15:11:29] [4300be8b33fd3dcdacd2aa9800ceba23]
F    D      [Tukey lambda PPCC Plot] [Q8] [2008-10-27 20:04:28] [b47fceb71c9525e79a89b5fc6d023d0e]
-    D      [Tukey lambda PPCC Plot] [] [2008-10-27 20:25:24] [fd59abe368d8219a006d49608e51987e]
-    D    [Tukey lambda PPCC Plot] [] [2008-10-26 15:53:59] [a4ee3bef49b119f4bd2e925060c84f5e]
F           [Tukey lambda PPCC Plot] [q8 invest.distr.] [2008-10-27 20:36:20] [ffbe22449df335faef31f462015daa42]
F    D    [Tukey lambda PPCC Plot] [tukey lambda] [2008-10-26 16:12:43] [e242ef2117cdd06cb7827a9ae01189a0]
F    D    [Tukey lambda PPCC Plot] [Tukey Lambda - Vo...] [2008-10-26 16:19:14] [85841a4a203c2f9589565c024425a91b]
-    D    [Tukey lambda PPCC Plot] [Q8 Tukey Lambda m...] [2008-10-26 16:30:33] [f9b9e85820b2a54b20380c3265aca831]
-    D    [Tukey lambda PPCC Plot] [Q8 Invest distrib...] [2008-10-26 17:09:26] [73d6180dc45497329efd1b6934a84aba]
F    D    [Tukey lambda PPCC Plot] [PPCC Plot Q8] [2008-10-26 19:08:17] [6816386b1f3c2f6c0c9f2aa1e5bc9362]
F   PD    [Tukey lambda PPCC Plot] [Q8 goede] [2008-10-26 19:14:19] [73d6180dc45497329efd1b6934a84aba]
F   PD    [Tukey lambda PPCC Plot] [] [2008-10-26 19:32:43] [29747f79f5beb5b2516e1271770ecb47]
F    D    [Tukey lambda PPCC Plot] [Investigating Dis...] [2008-10-26 22:48:38] [33f4701c7363e8b81858dafbf0350eed]
F    D      [Tukey lambda PPCC Plot] [Q8] [2008-10-28 07:18:51] [b641c14ac36cb6fee377f3b099dcac19]
F R  D    [Tukey lambda PPCC Plot] [Opdracht 3 Q8 tuk...] [2008-10-27 08:54:20] [1848c1c05ef454c234bcbe26cf08badc]
F RMPD    [Harrell-Davis Quantiles] [Opdracht 3 Q9 Har...] [2008-10-27 09:04:02] [1848c1c05ef454c234bcbe26cf08badc]
F    D    [Tukey lambda PPCC Plot] [q8 tuckey-lambda] [2008-10-27 09:57:34] [44a98561a4b3e6ab8cd5a857b48b0914]
-   PD    [Tukey lambda PPCC Plot] [q8 werkloosheid m...] [2008-10-27 10:51:40] [e43247bc0ab243a5af99ac7f55ba0b41]
F   PD    [Tukey lambda PPCC Plot] [q8 werkloosheid m...] [2008-10-27 10:51:40] [e43247bc0ab243a5af99ac7f55ba0b41]
-    D    [Tukey lambda PPCC Plot] [Q8 Tukey lambda] [2008-10-27 10:52:31] [cf9c64468d04c2c4dd548cc66b4e3677]
F    D    [Tukey lambda PPCC Plot] [Q8] [2008-10-27 11:22:08] [4396f984ebeab43316cd6baa88a4fd40]
-    D    [Tukey lambda PPCC Plot] [Investigating dis...] [2008-10-27 11:34:35] [b943bd7078334192ff8343563ee31113]
-    D    [Tukey lambda PPCC Plot] [Q8 ppcc plot werk...] [2008-10-27 17:10:23] [7d3039e6253bb5fb3b26df1537d500b4]
-           [Tukey lambda PPCC Plot] [Q8 ppcc plot werk...] [2008-10-27 20:48:00] [c993f605b206b366f754f7f8c1fcc291]
-    D    [Tukey lambda PPCC Plot] [Q8 Consumptiegoed...] [2008-10-27 17:49:25] [491a70d26f8c977398d8a0c1c87d3dd4]
- RMP       [Harrell-Davis Quantiles] [Q9] [2008-10-30 21:33:21] [491a70d26f8c977398d8a0c1c87d3dd4]
- R           [Harrell-Davis Quantiles] [Q 9 manier 2] [2008-10-30 21:37:49] [491a70d26f8c977398d8a0c1c87d3dd4]
-    D    [Tukey lambda PPCC Plot] [investigating dis...] [2008-10-27 17:58:12] [4ad596f10399a71ad29b7d76e6ab90ac]

[Truncated]
Feedback Forum
2008-10-31 16:38:22 [Bob Leysen] [reply] 
De grafiek is correct.

Exact Logistic (lambda=0) 0.995097947111645

Vanboven staat 'unverified author'

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
0,91190253
0,916515426
0,899126291
1,008991009
0,993421053
0,992160279
1,062730627
1,109195402
0,991362764
1,063888889
1,007619048
0,996825397
1,069565217
1,03649635
1
1,088974855
1,022526934
1,019073569
0,974759615
1,174123337
1,054307116
1,000879507
1,051707317
1,068322981
1,121606949
1,058577406
1,052785924
1,119675456
1,037678208
1,109090909
1,070238095
1,200542005
1,1280077
1,168867925
1,028806584
1,009746589
1,057303371
1,052238806
1,023993145
1,055243446
1,059898477
1,050547599
0,99
1,055495103
1,07325684
1,050397878
1,095100865
1,02575897
1,005170631
1,014851485
0,97005988
1,037807183
1,05959596
0,974497682
0,963855422
1,088863892
1,011216566
1,077735125
1,034391534
0,990196078
1,013888889
0,972041007
0,970774092
1,045675413
1,028837998
1,020962733
1,017142857
1,113006397
1,050529747
1,076862124
1,069823435
1,039417309
1,046006944
1,083708371
1,061585835
1,112974404
1,124050633
1,098127341
1,012732615
1,14453125

Tables (Output of Computation)





Summary of compuational 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 compuational 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=1549&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]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=1549&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=1549&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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.716854046176507
Exact Logistic (lambda=0)0.995097947111645
Approx. Normal (lambda=0.14)0.992326431337464
U-shaped (lambda=0.5)0.97489535865292
Exactly Uniform (lambda=1)0.957185784098967

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.716854046176507 \tabularnewline
Exact Logistic (lambda=0) & 0.995097947111645 \tabularnewline
Approx. Normal (lambda=0.14) & 0.992326431337464 \tabularnewline
U-shaped (lambda=0.5) & 0.97489535865292 \tabularnewline
Exactly Uniform (lambda=1) & 0.957185784098967 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=1549&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]0.716854046176507[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.995097947111645[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.992326431337464[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.97489535865292[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.957185784098967[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=1549&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=1549&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)0.716854046176507
Exact Logistic (lambda=0)0.995097947111645
Approx. Normal (lambda=0.14)0.992326431337464
U-shaped (lambda=0.5)0.97489535865292
Exactly Uniform (lambda=1)0.957185784098967


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')