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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_correlation.wasp
Title produced by softwarePearson Correlation
Date of computationTue, 28 Dec 2010 18:47:17 +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/Dec/28/t1293562005i2944lfis0mytcp.htm/, Retrieved Sun, 05 May 2024 03:04:57 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=116478, Retrieved Sun, 05 May 2024 03:04:57 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact138
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Pearson Correlation] [Pearson correlati...] [2010-12-27 09:45:45] [96348ef82925ade81ab3c243141d80f1]
-         [Pearson Correlation] [Pearson correlatie 2] [2010-12-28 18:47:17] [694c30abd2a3b2ee5cb46fc74cb5bfb9] [Current]
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Dataseries X:
0.28
1.12
0.77
4.09
3.67
3.75
4.89
9.63
7.98
7.06
4.25
3.19
-1.68
7.94
10.67
2.87
10.28
5.24
9.82
10.94
2.13
4.1
2.39
9.45
6.4
8.71
9.28
2.71
-9.13
Dataseries Y:
3.65
4.5
4.3
3.83
3.12
0.87
1.06
0.81
2.17
2.5
2.36
1.73
1.97
1.93
1.05
1.5
1.27
0.79
0.99
2.36
2.21
1.45
1.42
1.78
2.47
2.33
1.86
4.68
-0.01




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116478&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116478&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116478&T=0

As an alternative you can also use a 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'RServer@AstonUniversity' @ vre.aston.ac.uk







Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean4.924137931034482.10172413793103
Biased Variance18.9185759809751.35282806183115
Biased Standard Deviation4.349548939944811.16311137120705
Covariance-0.700493103448276
Correlation-0.13368983088597
Determination0.0178729708823194
T-Test-0.70096514624247
p-value (2 sided)0.489322358542359
p-value (1 sided)0.244661179271179
Degrees of Freedom27
Number of Observations29

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 4.92413793103448 & 2.10172413793103 \tabularnewline
Biased Variance & 18.918575980975 & 1.35282806183115 \tabularnewline
Biased Standard Deviation & 4.34954893994481 & 1.16311137120705 \tabularnewline
Covariance & -0.700493103448276 \tabularnewline
Correlation & -0.13368983088597 \tabularnewline
Determination & 0.0178729708823194 \tabularnewline
T-Test & -0.70096514624247 \tabularnewline
p-value (2 sided) & 0.489322358542359 \tabularnewline
p-value (1 sided) & 0.244661179271179 \tabularnewline
Degrees of Freedom & 27 \tabularnewline
Number of Observations & 29 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116478&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]4.92413793103448[/C][C]2.10172413793103[/C][/ROW]
[ROW][C]Biased Variance[/C][C]18.918575980975[/C][C]1.35282806183115[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]4.34954893994481[/C][C]1.16311137120705[/C][/ROW]
[ROW][C]Covariance[/C][C]-0.700493103448276[/C][/ROW]
[ROW][C]Correlation[/C][C]-0.13368983088597[/C][/ROW]
[ROW][C]Determination[/C][C]0.0178729708823194[/C][/ROW]
[ROW][C]T-Test[/C][C]-0.70096514624247[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.489322358542359[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.244661179271179[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]27[/C][/ROW]
[ROW][C]Number of Observations[/C][C]29[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116478&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116478&T=1

As an alternative you can also use a QR Code:  

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

Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean4.924137931034482.10172413793103
Biased Variance18.9185759809751.35282806183115
Biased Standard Deviation4.349548939944811.16311137120705
Covariance-0.700493103448276
Correlation-0.13368983088597
Determination0.0178729708823194
T-Test-0.70096514624247
p-value (2 sided)0.489322358542359
p-value (1 sided)0.244661179271179
Degrees of Freedom27
Number of Observations29



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')