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Pearson Correlation Residuwaarde Paper

*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: Mon, 22 Dec 2008 12:24:38 -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/Dec/22/t122997392678hj4za1exoe3zv.htm/, Retrieved Mon, 22 Dec 2008 20:25:26 +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/2008/Dec/22/t122997392678hj4za1exoe3zv.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},
}
 
Original text written by user:
 
IsPrivate?
No (this computation is public)
 
User-defined keywords:
 
Dataseries X:
» Textbox « » Textfile « » CSV «
-1756.606034 4515.24258 6350.757752 187.6662664 7179.987129 -1766.376102 3341.770864 -6153.4031 20418.81063 5825.391929 -10079.64907 3756.072201 -1726.742767 7013.734425 10008.75491 -3889.520808 2853.072056 4867.000198 9517.403357 -19081.5299 2090.060331 7667.210345 18234.87677 4200.880538 1264.162256 2584.899596 1795.964144 6713.258676 -0.068849117 7108.528605 5387.158619 -6468.095299 2883.307014 -4432.345942 -1782.780676 6472.577676 1013.79339 2177.704119 2867.612346 -8285.22375 1348.880462 3408.921922 -8620.730165 2859.197602 4446.042697 9696.016672 1717.131294 -3150.034481 -11543.52083 884.4316352 1621.208212 -2631.418695 1761.402548 -2649.643223 -2776.023462 -7699.097349 -533.0422272 -11156.45315 595.2518785 -619.038755 -4126.313963 -1418.221331 -4510.069121
 
Dataseries Y:
» Textbox « » Textfile « » CSV «
9.251916481 22.28951742 -37.15509397 34.22187354 -175.779264 104.9707065 -61.23944789 -396.7006521 -396.4104855 -259.9810144 127.9713638 -36.01972185 204.1305246 44.23781198 -159.6936733 203.1240259 121.7477886 -16.20225966 -243.8846 391.6693185 -164.2219687 293.7998866 150.1830112 -191.0192529 251.8229631 -153.3772568 8.18066887 276.1462458 7.505698792 290.2551301 154.6986628 -344.4860962 -268.7252068 308.7804581 53.41379783 309.7151277 86.25318818 -34.86211092 196.5575758 226.4231797 -187.9949744 -58.58222587 209.148432 145.9303467 129.4478425 -33.08964353 -386.0328906 144.2386434 117.0703219 129.9208501 -152.2074543 -55.09481442 144.0193516 -16.89369247 144.6275477 -160.1503109 329.6155122 138.2292641 9.036902416 50.52401291 313.8066156 236.8949084 110.0260622
 
Output produced by software:


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


Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean948.89197771084135.5568721291905
Biased Variance42642369.780896337264.0617889692
Biased Standard Deviation6530.1125396808193.039016234981
Covariance-355280.780933963
Correlation-0.277368471478871
Determination0.0769332689705252
T-Test-2.25478668456635
p-value (2 sided)0.027747554678161
p-value (1 sided)0.0138737773390805
Degrees of Freedom61
Number of Observations63
 
Charts produced by software:
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Dec/22/t122997392678hj4za1exoe3zv/153kv1229973876.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Dec/22/t122997392678hj4za1exoe3zv/153kv1229973876.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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