| Lack of correlation (Portal 2) | | *Unverified author* | | R Software Module: /rwasp_correlation.wasp (opens new window with default values) | | Title produced by software: Pearson Correlation | | Date of computation: Sun, 17 Apr 2011 16:03:41 +0000 | | | | Cite this page as follows: | | Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2011/Apr/17/t1303056013t8ef581udl75wn7.htm/, Retrieved Sun, 17 Apr 2011 18:00:15 +0200 | | | | Original text written by user: | | | | | IsPrivate? | | No (this computation is public) | | | | User-defined keywords: | | | | | Dataseries X: | | » Textbox « » Textfile « » CSV « | | 22854
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25 etc... | | | | Dataseries Y: | | » Textbox « » Textfile « » CSV « | | 0.0004619415
0.0004675645
0.0004537342
0.0004593573
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0.0004688521
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0.0006278578
0.000599586
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0.0002793078
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0.0004292553
0.0004292553
0.0004292553
0.0004292553
0.0004292553
0.0004292553
0.0004292553
0.0004442501
0.00046 etc... | | | | Output produced by software: |
| Pearson Product Moment Correlation - Ungrouped Data | | Statistic | Variable X | Variable Y | | Mean | 21564.4303278689 | 0.000423103434836066 | | Biased Variance | 6970087.31071956 | 8.79791719583547e-09 | | Biased Standard Deviation | 2640.09229208366 | 9.3797213156018e-05 | | Covariance | 0.121857381666017 | | Correlation | 0.490071272426121 | | Determination | 0.240169852057358 | | T-Test | 8.7459837821133 | | p-value (2 sided) | 4.44089209850063e-16 | | p-value (1 sided) | 2.22044604925031e-16 | | Degrees of Freedom | 242 | | Number of Observations | 244 |
| | | | Charts produced by software: |  | | http://www.freestatistics.org/blog/date/2011/Apr/17/t1303056013t8ef581udl75wn7/1vf801303056220.png (open in new window) | | http://www.freestatistics.org/blog/date/2011/Apr/17/t1303056013t8ef581udl75wn7/1vf801303056220.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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