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Pearson Correlation functie

*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, 20 Dec 2010 15:29:16 +0000
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2010/Dec/20/t1292858844olrsuoro91epe8j.htm/, Retrieved Mon, 20 Dec 2010 16:27:24 +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/2010/Dec/20/t1292858844olrsuoro91epe8j.htm/},
    year = {2010},
}
@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 = {2010},
    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 «
85.334492 86.09449414 96.57199043 94.71639434 86.73119155 87.75563173 96.25953607 95.56006558 89.92194836 90.26424442 98.85533083 95.80330025 91.86548922 91.56037318 100.8626506 100.4556201 94.66315636 94.27859711 103.5047587 103.2146892 96.10376732 95.21767635 105.2941157 104.968819 99.04979293 100.4414598 111.4468631 110.7535953 105.6477558 105.3631224 115.0971273 115.1088249 106.8840226 108.3580626 116.2410156 116.4577372 109.359449 109.4105199 118.4803659 120.3925104 112.3933786 111.7691161 121.5416059 122.3620511 114.7979273 115.2853501 124.8763726 124.9793051 118.463543 120.8677241 129.1531371 129.05294 122.3768726 121.9853848 132.3042669 135.9430835
 
Dataseries Y:
» Textbox « » Textfile « » CSV «
108.3286119 96.4958159 75.71815718 143.3786686 100.6490265 97.66865079 79.02488573 129.6915167 103.567889 98.32535885 71.43552311 140.3950954 83.01795245 112.7995324 73.98963731 130.2521008 107.5268817 93.7 82.6040555 112.0155039 107.4394464 97.69189479 74.28571429 130.9171598 106.1016949 97.44408946 75.57377049 144.9023861 95.35928144 96.9126112 80.02159827 133.4008097 98.63429439 102.1538462 81.07429719 126.0681115 105.5009823 97.76536313 76.33333333 128.4466625 101.7484216 105.4892601 72.80542986 122.0633934 107.6374745 97.16177862 69.32814021 142.2050562 98.91358025 100.6989516 75.75607338 139.3324607 94.59840301 112.1648461 79.8583444 132.7605322
 
Output produced by software:


Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk


Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean107.366118144107102.663113521964
Biased Variance167.661520393847441.129559060172
Biased Standard Deviation12.948417679154721.0030845129989
Covariance11.0063938650911
Correlation0.0397484257134597
Determination0.00157993734669843
T-Test0.292321099025175
p-value (2 sided)0.771161352871245
p-value (1 sided)0.385580676435622
Degrees of Freedom54
Number of Observations56
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/Dec/20/t1292858844olrsuoro91epe8j/1ocan1292858953.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/20/t1292858844olrsuoro91epe8j/1ocan1292858953.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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