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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, 24 Oct 2008 03:02:28 -0600
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/Oct/24/t1224839020zy2b6ixzxw10wf9.htm/, Retrieved Sun, 19 May 2024 13:31:53 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=18572, Retrieved Sun, 19 May 2024 13:31:53 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact194

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] [Tukey lambda tot ...] [2008-10-24 09:02:28] [bda7fba231d49184c6a1b627868bbb81] [Current]
F RMPD    [Univariate Explorative Data Analysis] [explor data analy...] [2008-10-24 09:19:19] [e1a46c1dcfccb0cb690f79a1a409b517]
-   PD      [Univariate Explorative Data Analysis] [Q2 Univariate Exp...] [2008-11-03 09:30:06] [7d3039e6253bb5fb3b26df1537d500b4]
- RMPD    [Univariate Explorative Data Analysis] [Correlatie vervaa...] [2008-10-24 09:47:43] [e1a46c1dcfccb0cb690f79a1a409b517]
-   PD      [Univariate Explorative Data Analysis] [lags = 36 autocor...] [2008-10-29 14:13:45] [e1a46c1dcfccb0cb690f79a1a409b517]
F RMPD    [Univariate Explorative Data Analysis] [unvariate explor ...] [2008-10-24 10:34:50] [e1a46c1dcfccb0cb690f79a1a409b517]
F RMPD    [Harrell-Davis Quantiles] [harrel davis quan...] [2008-10-24 11:27:18] [e1a46c1dcfccb0cb690f79a1a409b517]
F RM D    [Central Tendency] [central tendency ...] [2008-10-24 11:45:35] [e1a46c1dcfccb0cb690f79a1a409b517]
F RMPD    [Univariate Explorative Data Analysis] [Univariate Explor...] [2008-10-24 12:02:31] [e1a46c1dcfccb0cb690f79a1a409b517]
-   PD      [Univariate Explorative Data Analysis] [Univariate Explor...] [2008-10-24 12:14:49] [e1a46c1dcfccb0cb690f79a1a409b517]
- RMP       [Tukey lambda PPCC Plot] [Tukey lambda vlaa...] [2008-10-24 12:22:32] [e1a46c1dcfccb0cb690f79a1a409b517]
- RMPD      [Harrell-Davis Quantiles] [harrel davis quan...] [2008-10-24 12:28:14] [e1a46c1dcfccb0cb690f79a1a409b517]
-   PD      [Univariate Explorative Data Analysis] [UEDA - Vlaams gew...] [2008-10-26 09:55:38] [46c5a5fbda57fdfa1d4ef48658f82a0c]
- RMP         [Tukey lambda PPCC Plot] [PPCC Tukey Lambda...] [2008-10-26 10:08:44] [46c5a5fbda57fdfa1d4ef48658f82a0c]
-    D          [Tukey lambda PPCC Plot] [PPCC Tukey Lambda...] [2008-10-26 17:52:44] [46c5a5fbda57fdfa1d4ef48658f82a0c]
F    D          [Tukey lambda PPCC Plot] [Taak 3 Q8] [2008-10-27 08:04:07] [29647dffafb5b58c12a48dbf6cba2b57]
- RMP         [Harrell-Davis Quantiles] [Harrell-Davis - V...] [2008-10-26 10:14:34] [46c5a5fbda57fdfa1d4ef48658f82a0c]
-    D          [Harrell-Davis Quantiles] [Harrell-Davis - B...] [2008-10-26 17:55:06] [74be16979710d4c4e7c6647856088456]
F    D          [Harrell-Davis Quantiles] [Harrell-Davis - B...] [2008-10-26 17:55:06] [46c5a5fbda57fdfa1d4ef48658f82a0c]
F    D          [Harrell-Davis Quantiles] [Taak 3 Q9] [2008-10-27 08:18:25] [29647dffafb5b58c12a48dbf6cba2b57]
F    D        [Univariate Explorative Data Analysis] [4plot prijs kledi...] [2008-10-26 10:30:49] [46c5a5fbda57fdfa1d4ef48658f82a0c]
F    D          [Univariate Explorative Data Analysis] [taak 2/1] [2008-10-26 11:52:50] [29647dffafb5b58c12a48dbf6cba2b57]
F    D            [Univariate Explorative Data Analysis] [taak 2/2] [2008-10-26 14:28:17] [29647dffafb5b58c12a48dbf6cba2b57]
-               [Univariate Explorative Data Analysis] [Prijs Kledij - To...] [2008-10-27 10:12:59] [b5373f20234c18c6452d5f98d8abf0fe]
- RMP           [Central Tendency] [taak 3 task 2 ver...] [2008-10-28 19:19:05] [46c5a5fbda57fdfa1d4ef48658f82a0c]
- RMP           [Tukey lambda PPCC Plot] [Feedback Lambda] [2008-11-04 08:50:20] [b635de6fc42b001d22cbe6e730fec936]
F    D        [Univariate Explorative Data Analysis] [4plot investering...] [2008-10-26 10:33:39] [46c5a5fbda57fdfa1d4ef48658f82a0c]
F    D          [Univariate Explorative Data Analysis] [4plot prijs kledi...] [2008-10-26 10:43:33] [46c5a5fbda57fdfa1d4ef48658f82a0c]
- RM D            [Central Tendency] [taak 3 task 2 ver...] [2008-10-28 19:23:37] [46c5a5fbda57fdfa1d4ef48658f82a0c]
-    D          [Univariate Explorative Data Analysis] [Investering - Tot...] [2008-10-27 10:05:38] [b5373f20234c18c6452d5f98d8abf0fe]
- RMPD          [Central Tendency] [taak 3 task 2 ver...] [2008-10-28 19:21:48] [46c5a5fbda57fdfa1d4ef48658f82a0c]
F    D        [Univariate Explorative Data Analysis] [4 plot België] [2008-10-26 17:47:31] [46c5a5fbda57fdfa1d4ef48658f82a0c]
- RM            [Central Tendency] [taak 3 task 3 ver...] [2008-10-28 19:26:19] [46c5a5fbda57fdfa1d4ef48658f82a0c]
- RMP           [Tukey lambda PPCC Plot] [Feedback Lambda] [2008-11-04 09:03:43] [b635de6fc42b001d22cbe6e730fec936]
F    D        [Univariate Explorative Data Analysis] [Taak 3 Q7] [2008-10-27 07:50:28] [29647dffafb5b58c12a48dbf6cba2b57]
F    D    [Tukey lambda PPCC Plot] [PPCC Tukey Lambda] [2008-10-26 09:19:51] [46c5a5fbda57fdfa1d4ef48658f82a0c]
Feedback Forum
2008-11-03 09:28:57 [Stéphanie Claes] [reply] 
Deze vraag werd correct beantwoord. We spreken over normaalverdeling als de punten onafhankelijk zijn van elkaar en er dus geen autocorrelatie is. Eventueel had er nog gebruik gemaakt kunnen worden van de Q-Q plot om het visueel te ondersteunen.

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
110,40
96,40
101,90
106,20
81,00
94,70
101,00
109,40
102,30
90,70
96,20
96,10
106,00
103,10
102,00
104,70
86,00
92,10
106,90
112,60
101,70
92,00
97,40
97,00
105,40
102,70
98,10
104,50
87,40
89,90
109,80
111,70
98,60
96,90
95,10
97,00
112,70
102,90
97,40
111,40
87,40
96,80
114,10
110,30
103,90
101,60
94,60
95,90
104,70
102,80
98,10
113,90
80,90
95,70
113,20
105,90
108,80
102,30
99,00
100,70
115,50

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' @ 72.249.127.135

\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' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18572&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=18572&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18572&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' @ 72.249.127.135






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.681034394717584
Exact Logistic (lambda=0)0.984820721672163
Approx. Normal (lambda=0.14)0.989505916159088
U-shaped (lambda=0.5)0.985385537255734
Exactly Uniform (lambda=1)0.97511352322751

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.681034394717584 \tabularnewline
Exact Logistic (lambda=0) & 0.984820721672163 \tabularnewline
Approx. Normal (lambda=0.14) & 0.989505916159088 \tabularnewline
U-shaped (lambda=0.5) & 0.985385537255734 \tabularnewline
Exactly Uniform (lambda=1) & 0.97511352322751 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18572&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]0.681034394717584[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.984820721672163[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.989505916159088[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.985385537255734[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.97511352322751[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=18572&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18572&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)0.681034394717584
Exact Logistic (lambda=0)0.984820721672163
Approx. Normal (lambda=0.14)0.989505916159088
U-shaped (lambda=0.5)0.985385537255734
Exactly Uniform (lambda=1)0.97511352322751


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')