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Hypothesis testing with EDA part 2 Q2

*Unverified author*
R Software Module: rwasp_pairs.wasp (opens new window with default values)
Title produced by software: Kendall tau Correlation Matrix
Date of computation: Thu, 06 Nov 2008 08:21:18 -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/06/t1225984951huw06qujmf0crpb.htm/, Retrieved Thu, 06 Nov 2008 15:22:31 +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/06/t1225984951huw06qujmf0crpb.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)
 
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Original text written by user:
 
IsPrivate?
No (this computation is public)
 
User-defined keywords:
 
Dataseries X:
» Textbox « » Textfile « » CSV «
21 6 160 110 3,9 2,62 16,46 21 6 160 110 3,9 2,875 17,02 22,8 4 108 93 3,85 2,32 18,61 21,4 6 258 110 3,08 3,215 19,44 18,7 8 360 175 3,15 3,44 17,02 18,1 6 225 105 2,76 3,46 20,22 14,3 8 360 245 3,21 3,57 15,84 24,4 4 146,7 62 3,69 3,19 20 22,8 4 140,8 95 3,92 3,15 22,9 19,2 6 167,6 123 3,92 3,44 18,3 17,8 6 167,6 123 3,92 3,44 18,9 16,4 8 275,8 180 3,07 4,07 17,4 17,3 8 275,8 180 3,07 3,73 17,6 15,2 8 275,8 180 3,07 3,78 18 10,4 8 472 205 2,93 5,25 17,98 10,4 8 460 215 3 5,424 17,82 14,7 8 440 230 3,23 5,345 17,42 32,4 4 78,7 66 4,08 2,2 19,47 30,4 4 75,7 52 4,93 1,615 18,52 33,9 4 71,1 65 4,22 1,835 19,9 21,5 4 120,1 97 3,7 2,465 20,01 15,5 8 318 150 2,76 3,52 16,87 15,2 8 304 150 3,15 3,435 17,3 13,3 8 350 245 3,73 3,84 15,41 19,2 8 400 175 3,08 3,845 17,05 27,3 4 79 66 4,08 1,935 18,9 26 4 120,3 91 4,43 2,14 16,7 30,4 4 95,1 113 3,77 1,513 16,9 15,8 8 351 264 4,22 3,17 14,5 19,7 6 145 175 3,62 2,77 15,5 15 8 301 335 3,54 3,57 14,6 21,4 4 121 109 4,11 2,78 18,6
 
Output produced by software:

Enter (or paste) a matrix (table) containing all data (time) series. Every column represents a different variable and must be delimited by a space or Tab. Every row represents a period in time (or category) and must be delimited by hard returns. The easiest way to enter data is to copy and paste a block of spreadsheet cells. Please, do not use commas or spaces to seperate groups of digits!


Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24
R Framework
error message
The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'.


Kendall tau rank correlations for all pairs of data series
pairtaup-value
tau( mpg , cyl )-0.7953134086195352.25362043202028e-08
tau( mpg , disp )-0.7681311463779971.00695006483270e-09
tau( mpg , hp )-0.7428125060886734.33160494891487e-09
tau( mpg , drat )0.4645487852364840.000238153299719546
tau( mpg , wt )-0.7278321495284316.70577040559586e-09
tau( mpg , qsec )0.3153652189880410.0118519955124592
tau( cyl , disp )0.8144262510988969.95652738033925e-09
tau( cyl , hp )0.7851864985322063.99666648664976e-08
tau( cyl , drat )-0.5513178464199710.000113971491179788
tau( cyl , wt )0.7282611121098472.8291139386738e-07
tau( cyl , qsec )-0.4489698230636780.00151975754259582
tau( disp , hp )0.6659987358369331.37128917110374e-07
tau( disp , drat )-0.4989827736499467.7849413883775e-05
tau( disp , wt )0.743382397167693.07005865174403e-09
tau( disp , qsec )-0.3008154935615070.0162715491077270
tau( hp , drat )-0.3826268850489030.00260253883990014
tau( hp , wt )0.6113080957320591.26623978791152e-06
tau( hp , qsec )-0.472906126191450.000173773709093133
tau( drat , wt )-0.5471495283095561.42468808580507e-05
tau( drat , qsec )0.03272154695751620.794874350624461
tau( wt , qsec )-0.1419881217126340.255895606449493
 
Charts produced by software:
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Nov/06/t1225984951huw06qujmf0crpb/1aqf71225984874.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Nov/06/t1225984951huw06qujmf0crpb/1aqf71225984874.ps (open in new window)


 
Parameters (Session):
 
Parameters (R input):
 
R code (references can be found in the software module):
panel.tau <- function(x, y, digits=2, prefix='', cex.cor)
{
usr <- par('usr'); on.exit(par(usr))
par(usr = c(0, 1, 0, 1))
rr <- cor.test(x, y, method='kendall')
r <- round(rr$p.value,2)
txt <- format(c(r, 0.123456789), digits=digits)[1]
txt <- paste(prefix, txt, sep='')
if(missing(cex.cor)) cex <- 0.5/strwidth(txt)
text(0.5, 0.5, txt, cex = cex)
}
panel.hist <- function(x, ...)
{
usr <- par('usr'); on.exit(par(usr))
par(usr = c(usr[1:2], 0, 1.5) )
h <- hist(x, plot = FALSE)
breaks <- h$breaks; nB <- length(breaks)
y <- h$counts; y <- y/max(y)
rect(breaks[-nB], 0, breaks[-1], y, col='grey', ...)
}
bitmap(file='test1.png')
pairs(t(y),diag.panel=panel.hist, upper.panel=panel.smooth, lower.panel=panel.tau, main=main)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Kendall tau rank correlations for all pairs of data series',3,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'pair',1,TRUE)
a<-table.element(a,'tau',1,TRUE)
a<-table.element(a,'p-value',1,TRUE)
a<-table.row.end(a)
n <- length(y[,1])
n
cor.test(y[1,],y[2,],method='kendall')
for (i in 1:(n-1))
{
for (j in (i+1):n)
{
a<-table.row.start(a)
dum <- paste('tau(',dimnames(t(x))[[2]][i])
dum <- paste(dum,',')
dum <- paste(dum,dimnames(t(x))[[2]][j])
dum <- paste(dum,')')
a<-table.element(a,dum,header=TRUE)
r <- cor.test(y[i,],y[j,],method='kendall')
a<-table.element(a,r$estimate)
a<-table.element(a,r$p.value)
a<-table.row.end(a)
}
}
a<-table.end(a)
table.save(a,file='mytable.tab')
 





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Software written by Ed van Stee & Patrick Wessa


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