*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, 20 Dec 2010 11:32:40 +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/20/t1292844620vsjc31f9q6bwu5q.htm/, Retrieved Mon, 20 Dec 2010 12:30:21 +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/20/t1292844620vsjc31f9q6bwu5q.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 «

19,6000 16,0000 17,7000 19,8000 17,0000 17,4000 18,9000 15,7000 15,2000 15,8000 16,0000 16,1000 16,2000 12,5000 14,8000 15,4000 13,6000 14,2000 15,0000 14,1000 13,7000 14,4000 15,6000 19,7000 20,4000 16,1000 20,1000 20,6000 19,3000 20,5000 19,2000 19,0000 18,7000 16,5000 19,0000 20,5000 18,4000 16,2000 18,1000 19,3000 18,3000 17,2000 19,6000 17,2000 17,4000 16,0000 18,5000 18,4000 18,2000 14,9000 16,3000 18,3000 18,0000 15,9000 19,6000 16,6000 16,2000 16,6000 17,5000 16,2000 17,5000 13,8000 14,9000 17,2000 15,6000 16,2000 17,4000 15,1000 14,5000 15,1000 15,5000 15,9000 15,9000 12,3000 14,4000 16,0000 13,9000 14,7000 16,2000 13,8000 13,2000 13,5000 13,5000 15,0000 14,5000 10,5000 13,7000 13,9000 13,4000 14,0000 14,3000 13,3000 13,2000 12,6000 13,7000 15,6000 14,4000 11,0000 13,7000 13,8000 14,3000 14,0000 14,6000 13,1000 13,2000 11,6000 13,3000 14,4000 13,3000 11,3000 13,2000 14,1000 14,0000 12,9000 etc...

Dataseries Y:

» Textbox « » Textfile « » CSV «

18,9000 16,6000 17,2000 19,2000 17,1000 17,7000 18,7000 15,9000 16,0000 16,8000 16,0000 16,8000 16,3000 13,6000 14,3000 15,5000 13,9000 14,3000 15,8000 14,5000 15,1000 15,8000 17,2000 20,4000 21,3000 18,2000 20,2000 21,1000 19,7000 21,5000 20,2000 19,0000 20,2000 18,0000 19,5000 20,3000 18,0000 16,4000 17,8000 18,5000 18,2000 16,7000 19,1000 16,8000 17,5000 16,2000 17,9000 17,7000 17,2000 15,7000 15,2000 17,7000 17,4000 15,9000 19,7000 16,7000 16,9000 18,0000 17,6000 15,2000 16,5000 14,7000 14,1000 16,9000 15,2000 15,4000 16,8000 14,8000 14,1000 15,0000 14,8000 15,0000 15,1000 12,8000 13,0000 15,7000 12,8000 13,9000 15,4000 13,2000 12,7000 13,5000 12,8000 13,9000 13,3000 10,7000 12,3000 12,9000 12,5000 13,0000 13,9000 13,1000 13,1000 13,0000 12,8000 14,2000 13,0000 11,2000 12,1000 12,9000 13,2000 13,2000 13,5000 12,4000 12,4000 11,6000 12,6000 13,1000 12,3000 11,4000 11,8000 13,4000 13,6000 12,9000 etc...

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 3 seconds R Server 'Gwilym Jenkins' @ 72.249.127.135 Pearson Product Moment Correlation - Ungrouped Data Statistic Variable X Variable Y Mean 15.7239316239316 15.5350427350427 Biased Variance 5.3488289867777 6.5316779896267 Biased Standard Deviation 2.31275355080858 2.55571477078854 Covariance 5.69277483053345 Correlation 0.954892306670436 Determination 0.911819317338385 T-Test 34.4839166105132 p-value (2 sided) 0 p-value (1 sided) 0 Degrees of Freedom 115 Number of Observations 117

Charts produced by software:

http://www.freestatistics.org/blog/date/2010/Dec/20/t1292844620vsjc31f9q6bwu5q/15hoj1292844756.png (open in new window) http://www.freestatistics.org/blog/date/2010/Dec/20/t1292844620vsjc31f9q6bwu5q/15hoj1292844756.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')

Copyright

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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