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SHWWS5review

*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: Fri, 06 Nov 2009 02:25:57 -0700

Cite this page as follows:

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2009/Nov/06/t1257499691raw042qha9xdepm.htm/, Retrieved Fri, 06 Nov 2009 10:28:11 +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/Nov/06/t1257499691raw042qha9xdepm.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 «

210.5719011 211.8997081 210.0843833 216.9714191 212.5325759 213.3266004 211.6320939 213.8495876 209.7836603 207.8165281 209.5503598 197.7604812 218.7340218 222.8200937 222.6256364 227.2831783 230.9728651 223.1882391 226.6908408 227.3001901 222.3150821 223.6556123 227.8932506 219.077975 237.9620698 239.3620698 240.1949375 247.6320939 250.0126723 241.7479499 247.8635157 248.1117083 241.5191789 244.6548894 252.0347448 237.994072 260.2839013 263.301395 261.6975884 263.8558533 268.7959015 249.7504089 270.4517565 270.1824554 266.7364317 273.7251544 269.6086247 263.3813488 283.9826964 285.5836603 285.0489138 291.8846243 289.7983114 285.6105526 292.9853472 298.2038049 291.9685765 288.9378776 284.5719503 273.9959999

Dataseries Y:

» Textbox « » Textfile « » CSV «

-489.655367 -447.6900293 -537.3677823 -481.4102379 -503.7985479 -581.5953765 -494.8534187 -446.578747 -524.8000885 -579.7086071 -653.407384 -847.3550966 -531.7339354 -455.9861327 -562.2051181 -515.2549594 -509.8456254 -612.3288157 -470.5160829 -457.8351585 -551.5732196 -562.0428617 -516.3417287 -798.8804249 -494.0911623 -494.2911623 -549.4996808 -494.2534187 -504.6475737 -606.2817381 -521.1265498 -486.5573154 -630.0568175 -546.8751679 -544.5016292 -915.6313089 -528.6226531 -480.2479814 -598.5478913 -565.6654263 -566.6899392 -844.5683272 -486.7818283 -499.9872656 -576.1595813 -552.459989 -618.924919 -862.4963291 -504.7098302 -523.2000885 -624.5719965 -541.8903469 -612.415585 -655.7054357 -555.9580406 -526.4736273 -618.4004061 -605.1949688 -683.0163103 -952.4118256

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	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

Pearson Product Moment Correlation - Ungrouped Data
Statistic	Variable X	Variable Y
Mean	246.362822025	-575.094647711667
Biased Variance	792.838956057987	12804.6526024623
Biased Standard Deviation	28.1573961164378	113.157644913909
Covariance	-413.346259515513
Correlation	-0.127567011810473
Determination	0.0162733425022533
T-Test	-0.979524175388652
p-value (2 sided)	0.33138926702103
p-value (1 sided)	0.165694633510515
Degrees of Freedom	58
Number of Observations	60

Charts produced by software:

http://www.freestatistics.org/blog/date/2009/Nov/06/t1257499691raw042qha9xdepm/1b0y31257499553.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Nov/06/t1257499691raw042qha9xdepm/1b0y31257499553.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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