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WS4-2-PearLn

*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: Wed, 28 Oct 2009 13:39:45 -0600

Cite this page as follows:

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2009/Oct/28/t1256758827o5bwf41dbjrktym.htm/, Retrieved Wed, 28 Oct 2009 20:40:27 +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/2009/Oct/28/t1256758827o5bwf41dbjrktym.htm/},
    year = {2009},
}
@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 = {2009},
    note = {{ISBN} 3-900051-07-0},
    url = {http://www.R-project.org},
}

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords:

Dataseries X:

» Textbox « » Textfile « » CSV «

4,573 4,737 4,703 4,643 4,621 4,55 4,563 4,651 4,633 4,586 4,735 4,393 4,561 4,729 4,662 4,69 4,628 4,595 4,612 4,749 4,612 4,7 4,741 4,447 4,61 4,743 4,758 4,727 4,625 4,663 4,657 4,777 4,664 4,694 4,764 4,527 4,646 4,723 4,807 4,73 4,605 4,707 4,726 4,699 4,765 4,692 4,753 4,564 4,603 4,76 4,751 4,599 4,546 4,511 4,535 4,636 4,544 4,52 4,632

Dataseries Y:

» Textbox « » Textfile « » CSV «

39120 33702 25094 51442 45594 52518 48564 41745 49585 32747 33379 35645 37034 35681 20972 58552 54955 65540 51570 51145 46641 35704 33253 35193 41668 34865 21210 56126 49231 59723 48103 47472 50497 40059 34149 36860 46356 36577 23872 57276 56389 57657 62300 48929 51168 39636 33213 38127 43291 30600 21956 48033 46148 50736 48114 38390 44112 36287 30333

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	2 seconds
R Server	'RServer@AstonUniversity' @ vre.aston.ac.uk

Pearson Product Moment Correlation - Ungrouped Data
Statistic	Variable X	Variable Y
Mean	4.65045762711864	42793.8644067797
Biased Variance	0.00768723125538639	111411205.608733
Biased Standard Deviation	0.0876768570113367	10555.1506672682
Covariance	-145.366747223846
Correlation	-0.154415767555553
Determination	0.0238442292697707
T-Test	-1.17996604289813
p-value (2 sided)	0.242914883725529
p-value (1 sided)	0.121457441862765
Degrees of Freedom	57
Number of Observations	59

Charts produced by software:

http://www.freestatistics.org/blog/date/2009/Oct/28/t1256758827o5bwf41dbjrktym/1u86s1256758780.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/28/t1256758827o5bwf41dbjrktym/1u86s1256758780.ps (open in new window)

Parameters (Session):

par1 = 0 ; par2 = 36 ;

Parameters (R input):

par1 = 0 ; par2 = 36 ;

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')

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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