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WS5-Pearson Correlation Et en Et'

*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: Mon, 02 Nov 2009 06:02:46 -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/02/t1257167040o4p3tq7r2wpeknn.htm/, Retrieved Mon, 02 Nov 2009 14:04:00 +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/02/t1257167040o4p3tq7r2wpeknn.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 «

-1345.524047 -2903.542911 426.0061823 128.1400331 -360.1263768 -259.1728883 -851.6235307 469.1211691 2334.282666 -64.10234394 2157.52892 733.142615 250.1555364 -1624.55119 1808.534593 2905.586023 1848.615216 655.7679328 1162.523228 1123.254495 2741.764052 400.2289131 1425.329685 1570.489633 719.8782672 -1347.917082 745.7103047 1403.037429 546.7694751 -3489.706533 -2062.764672 -2280.596458 -1467.803967 -942.9943854 -886.3881872 -1996.031094 -727.0034212 -4770.786129 -2052.208885 82.89190751 -2652.026713 -3341.779671 -1548.248651 -2073.976825 -671.6197169 -996.3949052 -1187.367253 -2360.1001 -1662.506024 -5020.72902 -1908.497264 -118.53264 -2970.561859 -1405.816092 -1646.800071 -2214.467019 -665.0835758 -844.221019 -1508.620238 -946.0127792 -1476.407844 -2652.22204 -492.9050182 1170.670463 -1799.745861 -362.6308353 -545.7584742 -1249.361082 287.2918716 305.302748 -1730.877381 425.2830983 -804.554091 -2345.11198 1234.432456 -187.8556572 etc...

Dataseries Y:

» Textbox « » Textfile « » CSV «

-9.950226456 -50.34292536 -6.014069555 -16.96378285 -30.80492445 38.72826771 -8.137816864 27.54351825 19.61109823 33.58231736 87.90010911 23.6982651 19.50621454 -155.5096355 -191.6906481 36.5201684 -125.4821252 -2.882323942 -88.03410605 -9.502682971 -29.73106637 -16.32715355 -56.49376266 59.23658854 56.89313054 -45.58155181 -35.39887115 -95.16443446 -32.37235783 83.251308 205.2927982 180.0921499 -52.09798504 -48.03094912 -216.5252184 -246.9460531 204.2802909 -86.90284266 -172.6419936 40.47318523 -572.696242 144.6375007 42.23202084 -243.0953917 -25.0048854 -140.55699 -198.2124341 -445.4037679 62.53645493 -129.1123364 -238.8775543 -53.8696505 -271.4195919 -38.57712427 -135.7379016 -116.4300565 -517.306661 -128.7052112 -168.687742 -387.9452614 -224.4330961 -132.0323207 -562.1477765 183.175254 -472.5757885 -169.1114404 -181.8014711 -214.515754 -245.8199438 9.420155311 -717.8145616 -246.3604598 74.80515564 87.19718014 88.97345562 186.499770 etc...

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	-2.66666605406215e-09	-2.9999983654679e-10
Biased Variance	3744349.21807525	54317.50569887
Biased Standard Deviation	1935.03209742765	233.061162999909
Covariance	166814.083486611
Correlation	0.366809307021400
Determination	0.134549067717519
T-Test	4.28311884496443
p-value (2 sided)	3.776940766409e-05
p-value (1 sided)	1.8884703832045e-05
Degrees of Freedom	118
Number of Observations	120

Charts produced by software:

http://www.freestatistics.org/blog/date/2009/Nov/02/t1257167040o4p3tq7r2wpeknn/12obt1257166963.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Nov/02/t1257167040o4p3tq7r2wpeknn/12obt1257166963.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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