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Workshop4_part3

*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 09:37:51 -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/t1256744601s6qbcxuyy0lx6dk.htm/, Retrieved Wed, 28 Oct 2009 16:43:21 +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/t1256744601s6qbcxuyy0lx6dk.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 «

214912 210705 209673 237041 242081 241878 242621 238545 240337 244752 244576 241572 240541 236089 236997 264579 270349 269645 267037 258113 262813 267413 267366 264777 258863 254844 254868 277267 285351 286602 283042 276687 277915 277128 277103 275037 270150 267140 264993 287259 291186 292300 288186 281477 282656 280190 280408 276836 275216 274352 271311 289802 290726 292300 278506 269826 265861 269034 264176 255198 253353 246057 235372 258556 260993 254663 250643 243422 247105 248541 245039 237080 237085 225554 226839 247934 248333 246969 245098 246263 255765 264319 268347 273046 273963 267430 271993

Dataseries Y:

» Textbox « » Textfile « » CSV «

246339 244019 245953 279806 283111 281097 275964 270694 271901 274412 272433 268361 268586 264768 269974 304744 309365 308347 298427 289231 291975 294912 293488 290555 284736 281818 287854 316263 325412 326011 328282 317480 317539 313737 312276 309391 302950 300316 304035 333476 337698 335932 323931 313927 314485 313218 309664 302963 298989 298423 301631 329765 335083 327616 309119 295916 291413 291542 284678 276475 272566 264981 263290 296806 303598 286994 276427 266424 267153 268381 262522 255542 253158 243803 250741 280445 285257 270976 261076 255603 260376 263903 264291 263276 262572 256167 264221

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	260206.551724138	288196.034482759
Biased Variance	369505895.097899	606795966.676972
Biased Standard Deviation	19222.5361255454	24633.2289129333
Covariance	411949541.248196
Correlation	0.859985628604988
Determination	0.739575281407116
T-Test	15.5367277192129
p-value (2 sided)	0
p-value (1 sided)	0
Degrees of Freedom	85
Number of Observations	87

Charts produced by software:

http://www.freestatistics.org/blog/date/2009/Oct/28/t1256744601s6qbcxuyy0lx6dk/1fc4x1256744267.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Oct/28/t1256744601s6qbcxuyy0lx6dk/1fc4x1256744267.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')

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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