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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 computationFri, 26 Nov 2010 08:13:33 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Nov/26/t129075909183o8j5u1hvrf8cz.htm/, Retrieved Wed, 09 Sep 2026 10:57:02 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=101697, Retrieved Wed, 09 Sep 2026 10:57:02 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact15

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Central Tendency] [Arabica Price in ...] [2008-01-19 12:03:37] [74be16979710d4c4e7c6647856088456]
- RM D  [Percentiles] [workshop 6, assig...] [2010-11-23 19:39:18] [94f495cfd7e7946e5228cbd267a6841d]
- RM D    [Pearson Correlation] [paper - lineaire ...] [2010-11-25 19:51:07] [58c953249d32df2a8d41ff3671d3073f]
-             [Pearson Correlation] [paper minitutoria...] [2010-11-26 08:13:33] [39ab8462d2190635c809d7a35eacc961] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
Dataseries Y:
Download CSV
Histogram 
1161
1223
1178
1225
1087
1104
571
591
800
549
669
1188
959
1158
1100
894
1074
1046
841
1107
536
459
564

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=101697&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=101697&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=101697&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 time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean0.652173913043478916.695652173913
Biased Variance0.22684310018903667245.0812854442
Biased Standard Deviation0.476280484787101259.316565775201
Covariance-36.6561264822134
Correlation-0.283888870392276
Determination0.0805928907326025
T-Test-1.35676329300176
p-value (2 sided)0.189263185264393
p-value (1 sided)0.0946315926321965
Degrees of Freedom21
Number of Observations23

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 0.652173913043478 & 916.695652173913 \tabularnewline
Biased Variance & 0.226843100189036 & 67245.0812854442 \tabularnewline
Biased Standard Deviation & 0.476280484787101 & 259.316565775201 \tabularnewline
Covariance & -36.6561264822134 \tabularnewline
Correlation & -0.283888870392276 \tabularnewline
Determination & 0.0805928907326025 \tabularnewline
T-Test & -1.35676329300176 \tabularnewline
p-value (2 sided) & 0.189263185264393 \tabularnewline
p-value (1 sided) & 0.0946315926321965 \tabularnewline
Degrees of Freedom & 21 \tabularnewline
Number of Observations & 23 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=101697&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]0.652173913043478[/C][C]916.695652173913[/C][/ROW]
[ROW][C]Biased Variance[/C][C]0.226843100189036[/C][C]67245.0812854442[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]0.476280484787101[/C][C]259.316565775201[/C][/ROW]
[ROW][C]Covariance[/C][C]-36.6561264822134[/C][/ROW]
[ROW][C]Correlation[/C][C]-0.283888870392276[/C][/ROW]
[ROW][C]Determination[/C][C]0.0805928907326025[/C][/ROW]
[ROW][C]T-Test[/C][C]-1.35676329300176[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.189263185264393[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.0946315926321965[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]21[/C][/ROW]
[ROW][C]Number of Observations[/C][C]23[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=101697&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=101697&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
Mean0.652173913043478916.695652173913
Biased Variance0.22684310018903667245.0812854442
Biased Standard Deviation0.476280484787101259.316565775201
Covariance-36.6561264822134
Correlation-0.283888870392276
Determination0.0805928907326025
T-Test-1.35676329300176
p-value (2 sided)0.189263185264393
p-value (1 sided)0.0946315926321965
Degrees of Freedom21
Number of Observations23


Figures (Output of Computation)

Input Parameters & R Code

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$estimate)[1,1]
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Pearson Product Moment Correlation - Ungrouped Data',3,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Statistic',1,TRUE)
a<-table.element(a,'Variable X',1,TRUE)
a<-table.element(a,'Variable Y',1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('arithmetic_mean.htm','Mean',''),header=TRUE)
a<-table.element(a,mean(x))
a<-table.element(a,mean(y))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('biased.htm','Biased Variance',''),header=TRUE)
a<-table.element(a,varx)
a<-table.element(a,vary)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('biased1.htm','Biased Standard Deviation',''),header=TRUE)
a<-table.element(a,sqrt(varx))
a<-table.element(a,sqrt(vary))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('covariance.htm','Covariance',''),header=TRUE)
a<-table.element(a,cov(x,y),2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('pearson_correlation.htm','Correlation',''),header=TRUE)
a<-table.element(a,cxy,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('coeff_of_determination.htm','Determination',''),header=TRUE)
a<-table.element(a,cxy*cxy,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('ttest_statistic.htm','T-Test',''),header=TRUE)
a<-table.element(a,as.matrix(corxy$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')