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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_correlation.wasp
Title produced by softwarePearson Correlation
Date of computationWed, 28 Oct 2009 12:29:07 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Oct/28/t1256754601yzob1vukzpbwmc0.htm/, Retrieved Mon, 06 May 2024 07:38:15 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=51706, Retrieved Mon, 06 May 2024 07:38:15 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsPearson Correlation Log-berekening
Estimated Impact82

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Bivariate Data Series] [Bivariate dataset] [2008-01-05 23:51:08] [74be16979710d4c4e7c6647856088456]
- RMPD  [Bivariate Explorative Data Analysis] [WS 4 - Part2: Biv...] [2009-10-28 17:55:28] [b00a5c3d5f6ccb867aa9e2de58adfa61]
- RMP     [Kendall tau Rank Correlation] [WS 4 - Part2: Ken...] [2009-10-28 18:16:14] [b00a5c3d5f6ccb867aa9e2de58adfa61]
- RMPD      [Bivariate Explorative Data Analysis] [WS 4 - Part2: Log...] [2009-10-28 18:25:11] [b00a5c3d5f6ccb867aa9e2de58adfa61]
- RMP           [Pearson Correlation] [WS 4 - Part2: Log...] [2009-10-28 18:29:07] [63d6214c2814604a6f6cfa44dba5912e] [Current]
- RMP             [Kendall tau Rank Correlation] [WS 4 - Part2: Log...] [2009-10-28 18:32:10] [b00a5c3d5f6ccb867aa9e2de58adfa61]
- RMPD            [Bivariate Explorative Data Analysis] [WS 4 - Part2: Biv...] [2009-10-28 18:40:34] [b00a5c3d5f6ccb867aa9e2de58adfa61]
- RMP               [Pearson Correlation] [WS 4 - Part2: Pea...] [2009-10-28 18:55:17] [b00a5c3d5f6ccb867aa9e2de58adfa61]
- RMP               [Kendall tau Rank Correlation] [WS 4 - Part2: Ken...] [2009-10-28 18:58:53] [b00a5c3d5f6ccb867aa9e2de58adfa61]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1.037
1.000
0.963787827345555
0.963787827345555
0.977723605288848
0.982271233039568
0.977723605288848
0.959041392321094
0.949390006644913
0.954242509439325
1.004
1.012
1.008
0.982271233039568
0.963787827345555
0.968482948553935
0.973127853599699
0.973127853599699
0.963787827345555
0.954242509439325
0.954242509439325
0.954242509439325
0.991226075692495
1.0
0.991226075692495
0.968482948553935
0.954242509439325
0.954242509439325
0.959041392321094
0.959041392321094
0.959041392321094
0.963787827345555
0.944482672150169
0.919078092376074
0.924279286061882
0.90848501887865
0.886490725172482
0.897627091290441
0.897627091290441
0.903089986991944
0.897627091290441
0.880813592280791
0.851258348719075
0.832508912706236
0.812913356642856
0.838849090737255
0.913813852383717
0.939519252618618
0.919078092376074
0.897627091290441
0.8750612633917
0.89209460269048
0.919078092376074
0.924279286061882
0.913813852383717
0.886490725172482
0.857332496431269
0.863322860120456
0.90848501887865
0.929418925714293
Dataseries Y:
Download CSV
Histogram 
0.90848501887865	
0.886490725172482	
0.8750612633917	
0.880813592280791	
0.89209460269048	
0.89209460269048	
0.89209460269048	
0.8750612633917	
0.8750612633917	
0.851258348719075	
0.8750612633917	
0.8750612633917	
0.880813592280791	
0.886490725172482	
0.886490725172482	
0.897627091290441	
0.90848501887865	
0.913813852383717	
0.913813852383717	
0.913813852383717	
0.897627091290441	
0.863322860120456	
0.838849090737255	
0.819543935541869	
0.826074802700826	
0.838849090737255	
0.845098040014257	
0.851258348719075	
0.857332496431269	
0.851258348719075	
0.838849090737255	
0.845098040014257	
0.832508912706236	
0.806179973983887	
0.826074802700826	
0.819543935541869	
0.806179973983887	
0.799340549453582	
0.792391689498254	
0.812913356642856	
0.832508912706236	
0.832508912706236	
0.806179973983887	
0.785329835010767	
0.763427993562937	
0.785329835010767	
0.857332496431269	
0.863322860120456	
0.838849090737255	
0.785329835010767	
0.763427993562937	
0.792391689498254	
0.851258348719075	
0.886490725172482	
0.897627091290441	
0.886490725172482	
0.869231719730976	
0.8750612633917	
0.903089986991944	
0.90848501887865

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'George Udny Yule' @ 72.249.76.132

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=51706&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=51706&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=51706&T=0

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'George Udny Yule' @ 72.249.76.132






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean0.9368526495020120.853865920966519
Biased Variance0.002318292421462460.00163373202466637
Biased Standard Deviation0.04814864921742310.0404194510683454
Covariance0.00119076102845069
Correlation0.601659605890812
Determination0.361994281360687
T-Test5.73657354727175
p-value (2 sided)3.68940670236739e-07
p-value (1 sided)1.84470335118370e-07
Degrees of Freedom58
Number of Observations60

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 0.936852649502012 & 0.853865920966519 \tabularnewline
Biased Variance & 0.00231829242146246 & 0.00163373202466637 \tabularnewline
Biased Standard Deviation & 0.0481486492174231 & 0.0404194510683454 \tabularnewline
Covariance & 0.00119076102845069 \tabularnewline
Correlation & 0.601659605890812 \tabularnewline
Determination & 0.361994281360687 \tabularnewline
T-Test & 5.73657354727175 \tabularnewline
p-value (2 sided) & 3.68940670236739e-07 \tabularnewline
p-value (1 sided) & 1.84470335118370e-07 \tabularnewline
Degrees of Freedom & 58 \tabularnewline
Number of Observations & 60 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=51706&T=1

[TABLE]
[ROW][C]Pearson Product Moment Correlation - Ungrouped Data[/C][/ROW]
[ROW][C]Statistic[/C][C]Variable X[/C][C]Variable Y[/C][/ROW]
[ROW][C]Mean[/C][C]0.936852649502012[/C][C]0.853865920966519[/C][/ROW]
[ROW][C]Biased Variance[/C][C]0.00231829242146246[/C][C]0.00163373202466637[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]0.0481486492174231[/C][C]0.0404194510683454[/C][/ROW]
[ROW][C]Covariance[/C][C]0.00119076102845069[/C][/ROW]
[ROW][C]Correlation[/C][C]0.601659605890812[/C][/ROW]
[ROW][C]Determination[/C][C]0.361994281360687[/C][/ROW]
[ROW][C]T-Test[/C][C]5.73657354727175[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]3.68940670236739e-07[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]1.84470335118370e-07[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]58[/C][/ROW]
[ROW][C]Number of Observations[/C][C]60[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=51706&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=51706&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean0.9368526495020120.853865920966519
Biased Variance0.002318292421462460.00163373202466637
Biased Standard Deviation0.04814864921742310.0404194510683454
Covariance0.00119076102845069
Correlation0.601659605890812
Determination0.361994281360687
T-Test5.73657354727175
p-value (2 sided)3.68940670236739e-07
p-value (1 sided)1.84470335118370e-07
Degrees of Freedom58
Number of Observations60


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = colombia ; par2 = www.ico.org ; par3 = Prices paid to growers in exporting Member countries in US cents per lb (Arabica, 1977/1 - 2006/12) ; par4 = usa ; par5 = www.ico.org ; par6 = Retail prices in importing Member countries in US cents per lb (Arabica, 1977/1 - 2006/12) ;
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$estimate)[1,1]
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Pearson Product Moment Correlation - Ungrouped Data',3,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Statistic',1,TRUE)
a<-table.element(a,'Variable X',1,TRUE)
a<-table.element(a,'Variable Y',1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('arithmetic_mean.htm','Mean',''),header=TRUE)
a<-table.element(a,mean(x))
a<-table.element(a,mean(y))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('biased.htm','Biased Variance',''),header=TRUE)
a<-table.element(a,varx)
a<-table.element(a,vary)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('biased1.htm','Biased Standard Deviation',''),header=TRUE)
a<-table.element(a,sqrt(varx))
a<-table.element(a,sqrt(vary))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('covariance.htm','Covariance',''),header=TRUE)
a<-table.element(a,cov(x,y),2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('pearson_correlation.htm','Correlation',''),header=TRUE)
a<-table.element(a,cxy,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('coeff_of_determination.htm','Determination',''),header=TRUE)
a<-table.element(a,cxy*cxy,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('ttest_statistic.htm','T-Test',''),header=TRUE)
a<-table.element(a,as.matrix(corxy$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')