correlation 6

*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 Oct 2008 14:33:06 -0600

Cite this page as follows:

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2008/Oct/20/t12245348287h0ivch8iaug7nc.htm/, Retrieved Mon, 20 Oct 2008 20:33:49 +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/Oct/20/t12245348287h0ivch8iaug7nc.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}, }

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords:

Dataseries X:

» Textbox « » Textfile « » CSV «

110,089 99,966 94,195 119,588 125,946 118,906 108,717 118,357 115,422 130,937 111,802 120,357 121,12 108,752 98,973 116,721 123,857 114,056 98,309 110,251 108,538 122,526 118,394 116,691 116,014 111,784 95,164 121,028 129,89 116,102 102,055 113,562 113,071 126,486 119,472 117,141 121,925 112,688 90,974 126,398 130,401 116,873 111,917 113,919 117,931 139,332 127,781 118,103 136,984 119,566 107,238 139,389 139,798 138,074 129,739 125,098 129,341 149,083 137,721 130,126 140,499 118,165 115,932 144,662 136,159 147,339 138,807 135,275 135,84 161,702 132,606 147,419 154,865 131,545 126,212 150,316 154,524 154,28 131,059 147,168 141,8 162,022 143,924 151,406 159,601 143,513 132,302 152,021 171,573 161,591 134,057 172,247 173,384 173,706 188,178 165,932 179,795

Dataseries Y:

» Textbox « » Textfile « » CSV «

102,304 92,21 94,286 109,345 109,86 117,246 111,809 111,632 112,409 121,071 107,623 113,404 112,668 95,427 92,277 105,719 107,744 103,928 99,202 98,849 101,745 113,954 107,602 105,701 105,36 99,026 88,89 108,373 116,241 105,09 109,849 106,491 108,557 116,774 107,602 100,462 107,728 99,877 86,387 110,637 118,557 106,845 113,374 104,78 111,239 129,093 113,399 104,622 127,335 105,192 104,149 124,768 123,846 122,667 129,199 114,973 121,42 139,194 126,568 120,341 131,997 108,813 113,012 136,439 125,17 139,811 142,757 134,35 135,657 162,163 129,7 140,799 142,35 122,134 125,81 141,304 142,108 143,785 131,428 137,147 136,219 153,798 133,063 143,912 149,099 140,254 129,512 143,443 162,133 155,445 147,506 172,927 175,685 179,308 186,447 166,948 172,428

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 1 seconds R Server 'Gwilym Jenkins' @ 72.249.127.135 Pearson Product Moment Correlation - Ungrouped Data Statistic Variable X Variable Y Mean 130.268701030928 122.904958762887 Biased Variance 413.56743672505 466.75133484366 Biased Standard Deviation 20.3363575087834 21.6044285933153 Covariance 428.091711977126 Correlation 0.964318206009636 Determination 0.929909602441642 T-Test 35.5020071517727 p-value (2 sided) 0 p-value (1 sided) 0 Degrees of Freedom 95 Number of Observations 97

Charts produced by software:

http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Oct/20/t12245348287h0ivch8iaug7nc/12yva1224534784.png (open in new window) http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Oct/20/t12245348287h0ivch8iaug7nc/12yva1224534784.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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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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