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Data X:
26 21 21 20 16 15 19 19 18 19 18 11 20 16 8 25 23 19 25 17 4 22 12 20 26 19 16 22 16 14 17 19 10 22 20 13 19 13 14 24 20 8 26 27 23 21 17 11 13 8 9 26 25 24 20 26 5 22 13 15 14 19 5 21 15 19 7 5 6 23 16 13 17 14 11 25 24 17 25 24 17 19 9 5 20 19 9 23 19 15 22 25 17 22 19 17 21 18 20 15 15 12 20 12 7 22 21 16 18 12 7 20 15 14 28 28 24 22 25 15 18 19 15 23 20 10 20 24 14 25 26 18 26 25 12 15 12 9 17 12 9 23 15 8 21 17 18 13 14 10 18 16 17 19 11 14 22 20 16 16 11 10 24 22 19 18 20 10 20 19 14 24 17 10 14 21 4 22 23 19 24 18 9 18 17 12 21 27 16 23 25 11 17 19 18 22 22 11 24 24 24 21 20 17 22 19 18 16 11 9 21 22 19 23 22 18 22 16 12 24 20 23 24 24 22 16 16 14 16 16 14 21 22 16 26 24 23 15 16 7 25 27 10 18 11 12 23 21 12 20 20 12 17 20 17 25 27 21 24 20 16 17 12 11 19 8 14 20 21 13 15 18 9 27 24 19 22 16 13 23 18 19 16 20 13 19 20 13 25 19 13 19 17 14 19 16 12 26 26 22 21 15 11 20 22 5 24 17 18 22 23 19 20 21 14 18 19 15 18 14 12 24 17 19 24 12 15 22 24 17 23 18 8 22 20 10 20 16 12 18 20 12 25 22 20 18 12 12 16 16 12 20 17 14 19 22 6 15 12 10 19 14 18 19 23 18 16 15 7 17 17 18 28 28 9 23 20 17 25 23 22 20 13 11 17 18 15 23 23 17 16 19 15 23 23 22 11 12 9 18 16 13 24 23 20 23 13 14 21 22 14 16 18 12 24 23 20 23 20 20 18 10 8 20 17 17 9 18 9 24 15 18 25 23 22 20 17 10 21 17 13 25 22 15 22 20 18 21 20 18 21 19 12 22 18 12 27 22 20 24 20 12 24 22 16 21 18 16 18 16 18 16 16 16 22 16 13 20 16 17 18 17 13 20 18 17
Data Y:
1 1 1 2 1 1 2 1 1 1 2 2 1 1 1 2 1 2 2 1 2 1 1 2 1 1 1 1 2 1 2 1 1 2 2 2 1 2 2 1 1 1 1 2 2 1 2 2 1 2 1 1 1 1 2 1 1 1 2 2 1 1 1 2 1 2 2 2 1 1 1 2 2 1 1 1 1 2 2 2 2 1 0 1 2 2 1 1 1 1 1 2 1 1 1 1 2 1 2 2 1 2 1 1 2 1 2 1 1 1 1 1 1 1 1 2 1 1 2 1 1 1 1 1 1 2 1 1 2 2 1 2 2 2 2 1 1 2 2 1 1 1 1 2 1 1 2 2 2 2 1 1 1 2 2 2 1 1 1 1 2 1
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R Code
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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1 seconds
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Big Analytics Cloud Computing Center
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