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Herberekening Romina Machiels - Jeroen Michel

*The author of this computation has been verified*

R Software Module: rwasp_tukeylambda.wasp (opens new window with default values)

Title produced by software: Tukey lambda PPCC Plot

Date of computation: Sat, 29 Nov 2008 02:49:18 -0700

Cite this page as follows:

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2008/Nov/29/t12279522131cbudlr26nyb1h2.htm/, Retrieved Sat, 29 Nov 2008 09:50:14 +0000

BibTeX entries for LaTeX users:

@Manual{KEY,
    author = {{YOUR NAME}},
    publisher = {Office for Research Development and Education},
    title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2008/Nov/29/t12279522131cbudlr26nyb1h2.htm/},
    year = {2008},
}
@Manual{R,
    title = {R: A Language and Environment for Statistical Computing},
    author = {{R Development Core Team}},
    organization = {R Foundation for Statistical Computing},
    address = {Vienna, Austria},
    year = {2008},
    note = {{ISBN} 3-900051-07-0},
    url = {http://www.R-project.org},
}

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

Feedback Forum:

2008-11-27 13:41:43 [a2386b643d711541400692649981f2dc] [reply] 
test

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords:

Dataseries X:

» Textbox « » Textfile « » CSV «

-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

Output produced by software:

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'George Udny Yule' @ 72.249.76.132

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

Charts produced by software:

http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Nov/29/t12279522131cbudlr26nyb1h2/18pr61227952157.png (open in new window)

http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Nov/29/t12279522131cbudlr26nyb1h2/18pr61227952157.ps (open in new window)

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')

This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.

Software written by Ed van Stee & Patrick Wessa

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