FreeStatistics.org

Free Statistics

of Irreproducible Research!

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 computationMon, 24 Nov 2008 13:19:15 -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/2008/Nov/24/t1227558351zjko42mjm9l0j09.htm/, Retrieved Tue, 14 May 2024 16:21:27 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=25516, Retrieved Tue, 14 May 2024 16:21:27 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact137

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Multiple Regression] [Q1 Seatbelt, tren...] [2008-11-24 10:29:14] [deb3c14ac9e4607a6d84fc9d0e0e6cc2]
- RMPD    [Tukey lambda PPCC Plot] [Q2 Seatbelt, tuke...] [2008-11-24 20:19:15] [5e9e099b83e50415d7642e10d74756e4] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
-183.9235445
-177.0726091
-228.6351091
-237.4476091
-127.7601091
-193.0101091
-220.6351091
-164.5101091
-268.3226091
-333.6976091
-34.26010911
-154.8851091
-97.74528053
101.1056549
2.543154874
-43.26934513
-163.5818451
-162.8318451
46.54315487
26.66815487
-107.1443451
42.48065487
76.91815487
196.2931549
201.4329835
12.28391886
-0.278581137
42.90891886
87.59641886
84.34641886
57.72141886
173.8464189
-185.9660811
47.65891886
89.09641886
-68.52858114
272.6112475
146.4621829
162.8996829
10.08718285
279.7746829
212.5246829
248.8996829
-41.97531715
-5.787817149
52.83718285
274.2746829
414.6496829
310.7895114
362.6404468
26.07794684
403.2654468
327.9529468
193.7029468
317.0779468
202.2029468
321.3904468
178.0154468
16.45294684
-68.17205316
-157.0322246
-76.18128917
-81.74378917
-134.5562892
77.13121083
199.8812108
105.2562108
198.3812108
262.5687108
196.1937108
11.63121083
-145.9937892
-166.8539606
-202.0030252
43.43447482
-113.3780252
-113.6905252
-155.9405252
-210.5655252
-124.4405252
-64.25302518
-298.6280252
-154.1905252
23.18447482
-249.6756966
118.1752388
-180.3872612
-79.19976119
-81.51226119
-246.7622612
-105.3872612
-319.2622612
-72.07476119
-90.44976119
-80.01226119
119.3627388
-53.49743261
-114.6464972
-155.2089972
-50.02149721
-196.3339972
-14.58399721
-82.20899721
17.91600279
-162.8964972
-132.2714972
-16.83399721
81.54100279
275.6808314
-32.46823322
17.96926678
27.15676678
-123.1557332
108.5942668
67.96926678
34.09426678
-13.71823322
-113.0932332
54.34426678
149.7192668
153.8590954
-28.28996923
238.1475308
50.33503077
8.022530771
-61.22746923
-140.8524692
-28.72746923
9.460030771
-121.9149692
41.52253077
115.8975308
27.03735936
-91.11170524
3.325794759
-29.48670524
-73.79920524
50.95079476
-86.67420524
-9.54920524
-66.36170524
73.26329476
-216.2992052
-128.9242052
-142.7843767
27.06655875
60.50405875
35.69155875
16.37905875
-64.87094125
115.5040587
-30.37094125
87.81655875
205.4415587
-64.12094125
-322.7459413
-139.6061127
35.24482274
-4.317677263
17.86982274
2.557322737
129.3073227
-16.31767726
164.8073227
21.99482274
138.6198227
87.05732274
51.43232274
-80.42784867
-105.1918797
5.245620328
68.43312033
-0.879379672
-105.1293797
-82.75437967
-132.6293797
102.5581203
23.18312033
-180.3793797
-267.0043797
30.13544892
23.98638432
90.42388432
31.61138432
81.29888432
25.04888432
-13.57611568
33.54888432
140.7363843
132.3613843
94.79888432
4.173884316

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 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 & 0 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=25516&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]0 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=25516&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=25516&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 time0 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Tukey Lambda - Key Values
Distribution (lambda)Correlation
Approx. Cauchy (lambda=-1)0.539534144470049
Exact Logistic (lambda=0)0.991800025504574
Approx. Normal (lambda=0.14)0.995242118228892
U-shaped (lambda=0.5)0.985957776594614
Exactly Uniform (lambda=1)0.972422776945532

\begin{tabular}{lllllllll}
\hline
Tukey Lambda - Key Values \tabularnewline
Distribution (lambda) & Correlation \tabularnewline
Approx. Cauchy (lambda=-1) & 0.539534144470049 \tabularnewline
Exact Logistic (lambda=0) & 0.991800025504574 \tabularnewline
Approx. Normal (lambda=0.14) & 0.995242118228892 \tabularnewline
U-shaped (lambda=0.5) & 0.985957776594614 \tabularnewline
Exactly Uniform (lambda=1) & 0.972422776945532 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=25516&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]0.539534144470049[/C][/ROW]
[ROW][C]Exact Logistic (lambda=0)[/C][C]0.991800025504574[/C][/ROW]
[ROW][C]Approx. Normal (lambda=0.14)[/C][C]0.995242118228892[/C][/ROW]
[ROW][C]U-shaped (lambda=0.5)[/C][C]0.985957776594614[/C][/ROW]
[ROW][C]Exactly Uniform (lambda=1)[/C][C]0.972422776945532[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=25516&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=25516&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)0.539534144470049
Exact Logistic (lambda=0)0.991800025504574
Approx. Normal (lambda=0.14)0.995242118228892
U-shaped (lambda=0.5)0.985957776594614
Exactly Uniform (lambda=1)0.972422776945532


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')