Correlation 4

*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 14:11:08 -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/t1224533494lpnl2y0clpv45rg.htm/, Retrieved Mon, 20 Oct 2008 20:11:35 +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/t1224533494lpnl2y0clpv45rg.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 «

32,021 36,502 28,051 39,575 39,413 39,054 35,469 32,087 34,02 36,611 30,739 34,192 35,328 36,931 26,229 31,308 34,875 33,497 30,442 32,66 33,515 36,068 34,195 38,295 35,051 38,453 25,666 36,585 39,54 34,601 34,541 34,128 34,18 33,495 34,234 32,428 32,772 38,33 26,063 36,438 36,864 32,816 36,693 31,915 35,127 39,707 36,012 36,1 41,721 39,562 31,427 38,843 38,922 36,13 37,305 34,813 36,495 42,152 40,666 41,968 45,366 44,416 35,483 47,359 41,306 43,562 41,596 39,88 41,678 49,022 39,094 46,976 43,089 44,204 35,442 44,33 44,797 45,332 42,375 42,074 43,94 51,484 42,022 46,825 48,843 52,889 45,052 46,115 50,811 45,231 44,128 46,474 47,786 44,953 46,335 43,605 45,179

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 'George Udny Yule' @ 72.249.76.132 Pearson Product Moment Correlation - Ungrouped Data Statistic Variable X Variable Y Mean 130.268701030928 38.7821958762887 Biased Variance 413.56743672505 34.1683227142098 Biased Standard Deviation 20.3363575087834 5.84536762866202 Covariance 101.723768684171 Correlation 0.846909378520299 Determination 0.717255495425639 T-Test 15.5239293818406 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/t1224533494lpnl2y0clpv45rg/1k95a1224533466.png (open in new window) http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Oct/20/t1224533494lpnl2y0clpv45rg/1k95a1224533466.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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