Pearson Correlation | |||||||||||||||||||||||||||||||||||||||||||||||||
| *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, 13 Dec 2010 10:24:10 +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/13/t1292235880ki61b3ffk0l00l8.htm/, Retrieved Mon, 13 Dec 2010 11:24:41 +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/13/t1292235880ki61b3ffk0l00l8.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},
}
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| Original text written by user: | |||||||||||||||||||||||||||||||||||||||||||||||||
| IsPrivate? | |||||||||||||||||||||||||||||||||||||||||||||||||
| No (this computation is public) | |||||||||||||||||||||||||||||||||||||||||||||||||
| User-defined keywords: | |||||||||||||||||||||||||||||||||||||||||||||||||
| Dataseries X: | |||||||||||||||||||||||||||||||||||||||||||||||||
| » Textbox « » Textfile « » CSV « | |||||||||||||||||||||||||||||||||||||||||||||||||
| 989 236 1 008 380 1 207 763 1 368 839 1 469 798 1 498 721 1 761 769 1 653 214 1 599 104 1 421 179 1 163 995 1 037 735 1 015 407 1 039 210 1 258 049 1 469 445 1 552 346 1 549 144 1 785 895 1 662 335 1 629 440 1 467 430 1 202 209 1 076 982 1 039 367 1 063 449 1 335 135 1 491 602 1 591 972 1 641 248 1 898 849 1 798 580 1 762 444 1 622 044 1 368 955 1 262 973 1 195 650 1 269 530 1 479 279 1 607 819 1 712 466 1 721 766 1 949 843 1 821 326 1 757 802 1 590 367 1 260 647 1 149 235 1 016 367 1 027 885 1 262 159 1 520 854 1 544 144 1 564 709 1 821 776 1 741 365 1 623 386 1 498 658 1 241 822 1 136 029 | |||||||||||||||||||||||||||||||||||||||||||||||||
| Dataseries Y: | |||||||||||||||||||||||||||||||||||||||||||||||||
| » Textbox « » Textfile « » CSV « | |||||||||||||||||||||||||||||||||||||||||||||||||
| 10489.94 10766.23 10503.76 10192.51 10467.48 10274.97 10640.91 10481.60 10568.70 10440.07 10805.87 10717.50 10864.86 10993.41 11109.32 11367.14 11168.31 11150.22 11185.68 11381.15 11679.07 12080.73 12221.93 12463.15 12621.69 12268.63 12354.35 13062.91 13627.64 13408.62 13211.99 13357.74 13895.63 13930.01 13371.72 13264.82 12650.36 12266.39 12262.89 12820.13 12638.32 11350.01 11378.02 11543.55 10850.66 9325.01 8829.04 8776.39 8000.86 7062.93 7608.92 8168.12 8500.33 8447.00 9171.61 9496.28 9712.28 9712.73 10344.84 10428.05 | |||||||||||||||||||||||||||||||||||||||||||||||||
| Output produced by software: | |||||||||||||||||||||||||||||||||||||||||||||||||
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| Charts produced by software: | |||||||||||||||||||||||||||||||||||||||||||||||||
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| 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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