# ::Free Statistics and Forecasting Software::

v1.1.23-r7
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### :: Pearson Correlation - Free Statistics Software (Calculator) ::

All rights reserved. The non-commercial (academic) use of this software is free of charge. The only thing that is asked in return is to cite this software when results are used in publications.

This free online software (calculator) computes the following Pearson Correlation output: Scatter Plot, Pearson Product Moment Correlation, Covariance, Determination, and the Correlation T-Test.

Enter (or paste) your data delimited by hard returns.

 Send output to: Browser Blue - Charts White Browser Black/White CSV MS Excel MS Word Data X (click to load default data) 20 40 30 50 60 Data Y: 80 60 10 20 30 Sample Range:(leave blank to include all observations) From: To: Chart options Width: Height: Label y-axis: Label x-axis:

 Source code of R module x <- x[!is.na(y)] y <- y[!is.na(y)] y <- y[!is.na(x)] x <- x[!is.na(x)] 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", na.rm = T) 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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 Cite this software as: Wessa P., (2012), Pearson Correlation (v1.0.6) in Free Statistics Software (v1.1.23-r7), Office for Research Development and Education, URL http://www.wessa.net/rwasp_correlation.wasp/ The R code is based on : Borghers, E, and P. Wessa, Statistics - Econometrics - Forecasting, Office for Research Development and Education, http://www.xycoon.com/
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 To cite Wessa.net in publications use:Wessa, P. (2013), Free Statistics Software, Office for Research Development and Education, version 1.1.23-r7, URL http://www.wessa.net/ © All rights reserved. Academic license for non-commercial use only. The free use of the scientific content, services, and applications in this website is granted for non commercial use only. In any case, the source (url) should always be clearly displayed. Under no circumstances are you allowed to reproduce, copy or redistribute the design, layout, or any content of this website (for commercial use) including any materials contained herein without the express written permission. Information provided on this web site is provided "AS IS" without warranty of any kind, either express or implied, including, without limitation, warranties of merchantability, fitness for a particular purpose, and noninfringement. We use reasonable efforts to include accurate and timely information and periodically update the information, and software without notice. We make no warranties or representations as to the accuracy or completeness of such information (or software), and it assumes no liability or responsibility for errors or omissions in the content of this web site, or any software bugs in online applications. Your use of this web site is AT YOUR OWN RISK. Under no circumstances and under no legal theory shall we be liable to you or any other person for any direct, indirect, special, incidental, exemplary, or consequential damages arising from your access to, or use of, this web site. Software Version : 1.1.23-r7Algorithms & Software : Patrick Wessa, PhDServer : www.wessa.net