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*The author of this computation has been verified*
R Software Module: /rwasp_correlation.wasp (opens new window with default values)
Title produced by software: Pearson Correlation
Date of computation: Sun, 19 Dec 2010 15:36:17 +0000
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2010/Dec/19/t1292772844wo80ee8h04wguk7.htm/, Retrieved Sun, 19 Dec 2010 16:34:06 +0100
 
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/2010/Dec/19/t1292772844wo80ee8h04wguk7.htm/},
    year = {2010},
}
@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 = {2010},
    note = {{ISBN} 3-900051-07-0},
    url = {http://www.R-project.org},
}
 
Original text written by user:
 
IsPrivate?
No (this computation is public)
 
User-defined keywords:
 
Dataseries X:
» Textbox « » Textfile « » CSV «
162556 29790 87550 84738 54660 42634 40949 42312 37704 16275 25830 12679 18014 43556 24524 6532 7123 20813 37597 17821 12988 22330 13326 16189 7146 15824 26088 11326 8568 14416 3369 11819 6620 4519 2220 18562 10327 5336 2365 4069 7710 13718 4525 6869 4628 3653 1265 7489 4901 2284 3160 4150 7285 1134 4658 2384 3748 5371 1285 9327 5565 1528 3122 7317 2675 13253 880 2053 1424 4036 3045 5119 1431 554 1975 1286 1012 810 1280 666 1380 4608 876 814 514 5692 3642 540 2099 567 2001 2949 2253 6533 1889 3055 272 1414 2564 1383 1261 975 3366 576 1306 746 3192 2045 5477 1932 936 3437 5131 2397 1389 1503 402 2239 2234 837 10579 875 1395 1659 2647 3294 0 94 422 0 34 1558 0 43 0 316 115 0 0 0 389 0 1002 36 460 309 0 9 0 14 520 1766 0 458 20 0 0 98 405 0 0 0 0 483 454 0 0 757 0 0 0 36 0 203 0 90 0 71 0 0 972 531 604 283 23 638 699 149 226 0 etc...
 
Dataseries Y:
» Textbox « » Textfile « » CSV «
1081 309 458 588 299 156 481 323 452 109 115 110 239 247 497 103 109 502 248 373 119 84 102 295 105 64 267 129 37 361 28 85 44 49 22 155 91 81 79 145 816 61 226 105 62 24 26 322 84 33 108 150 115 162 158 97 9 66 107 101 47 38 34 84 79 947 74 53 94 63 58 49 34 11 35 17 47 43 117 171 26 73 59 18 15 72 86 14 64 11 52 41 99 75 45 43 8 198 22 11 33 23 80 18 28 23 60 20 59 36 30 47 71 14 9 39 26 21 16 69 92 14 103 29 37 23 0 7 28 0 8 63 0 3 0 9 13 0 0 0 14 0 15 3 15 11 0 6 0 1 10 73 0 11 3 0 0 2 7 0 0 0 0 27 51 0 0 19 0 0 0 4 0 9 0 8 0 1 0 0 34 10 38 10 5 14 16 5 5 0 4 0 6 0 2 0 80 0 0 20 0 0 0 27 17 2 4 0 32 0 0 0 32 20 7 0 8 28 0 20 4 0 2 0 2 26 0 0 4 0 9 0 0 17 0 1 0 6 0 0 0 3 0 8 4 0 0 11 0 0 9 0 2 73 85 0 8 35 0 0 0 0 12 15 0 0 0 11 0 6 0 0 0 etc...
 
Output produced by software:


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


Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean3473.8445475638146.5174013921114
Biased Variance138735304.78093912131.9109500918
Biased Standard Deviation11778.5951955630110.144954265240
Covariance993942.764339287
Correlation0.764353852224621
Determination0.584236811410618
T-Test24.5527469316421
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom429
Number of Observations431
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/Dec/19/t1292772844wo80ee8h04wguk7/1rvxd1292772975.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/19/t1292772844wo80ee8h04wguk7/1rvxd1292772975.ps (open in new window)


 
Parameters (Session):
 
Parameters (R input):
 
R code (references can be found in the software module):
bitmap(file='test1.png')
histx <- hist(x, plot=FALSE)
histy <- hist(y, plot=FALSE)
maxcounts <- max(c(histx$counts, histx$counts))
xrange <- c(min(x),max(x))
yrange <- c(min(y),max(y))
nf <- layout(matrix(c(2,0,1,3),2,2,byrow=TRUE), c(3,1), c(1,3), TRUE)
par(mar=c(4,4,1,1))
plot(x, y, xlim=xrange, ylim=yrange, xlab=xlab, ylab=ylab)
par(mar=c(0,4,1,1))
barplot(histx$counts, axes=FALSE, ylim=c(0, maxcounts), space=0)
par(mar=c(4,0,1,1))
barplot(histy$counts, axes=FALSE, xlim=c(0, maxcounts), space=0, horiz=TRUE)
dev.off()
lx = length(x)
makebiased = (lx-1)/lx
varx = var(x)*makebiased
vary = var(y)*makebiased
corxy <- cor.test(x,y,method='pearson')
cxy <- as.matrix(corxy$estimate)[1,1]
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Pearson Product Moment Correlation - Ungrouped Data',3,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Statistic',1,TRUE)
a<-table.element(a,'Variable X',1,TRUE)
a<-table.element(a,'Variable Y',1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('http://www.xycoon.com/arithmetic_mean.htm','Mean',''),header=TRUE)
a<-table.element(a,mean(x))
a<-table.element(a,mean(y))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('http://www.xycoon.com/biased.htm','Biased Variance',''),header=TRUE)
a<-table.element(a,varx)
a<-table.element(a,vary)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('http://www.xycoon.com/biased1.htm','Biased Standard Deviation',''),header=TRUE)
a<-table.element(a,sqrt(varx))
a<-table.element(a,sqrt(vary))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('http://www.xycoon.com/covariance.htm','Covariance',''),header=TRUE)
a<-table.element(a,cov(x,y),2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('http://www.xycoon.com/pearson_correlation.htm','Correlation',''),header=TRUE)
a<-table.element(a,cxy,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('http://www.xycoon.com/coeff_of_determination.htm','Determination',''),header=TRUE)
a<-table.element(a,cxy*cxy,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('http://www.xycoon.com/ttest_statistic.htm','T-Test',''),header=TRUE)
a<-table.element(a,as.matrix(corxy$statistic)[1,1],2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value (2 sided)',header=TRUE)
a<-table.element(a,(p2 <- as.matrix(corxy$p.value)[1,1]),2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value (1 sided)',header=TRUE)
a<-table.element(a,p2/2,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Degrees of Freedom',header=TRUE)
a<-table.element(a,lx-2,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Number of Observations',header=TRUE)
a<-table.element(a,lx,2)
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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