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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_correlation.wasp

Title produced by software

Pearson Correlation

Date of computation

Sun, 19 Oct 2008 08:56:20 -0600

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Oct/19/t1224428225s4s5vb21pamqslu.htm/, Retrieved Fri, 17 May 2024 10:07:15 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=16888, Retrieved Fri, 17 May 2024 10:07:15 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

133

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

F       [Pearson Correlation] [vergelijking werk...] [2008-10-19 14:56:20] [1aceffc2fa350402d9e8f8edd757a2e8] [Current]

Feedback Forum

2008-10-26 13:33:51 [a3bd64f7d45ff4aaf16467137b923bbb] [reply] 
Het bekomen correlatiegetal mag niet omgezet worden in een percentage.

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Dataseries X:

Download CSV

Histogram

Boxplots

5,6
5,6
5,5
5,4
5,4
5,4
5,5
5,7
5,7
5,4
5,6
5,8
6,1
6,8
6,7
6,7
6,4
6,3
6,3
6,4
6,3
6
6,2
6,3
6,6
7,5
7,8
7,9
7,8
7,6
7,5
7,6
7,5
7,3
7,6
7,5
7,6
7,9
7,9
8,1
8,2
8
7,5
6,8
6,5
6,6
7,6
8
8
7,7
7,5
7,6
7,7
7,9
7,8
7,5
7,5
7,1
7,5
7,5
7,6
7,7
7,7
7,9
8,1
8,2
8,2
8,1
7,9
7,3
6,9
6,6
6,7
6,9
7
7,1
7,2
7,1
6,9
7
6,8
6,4
6,7
6,7
6,4
6,3
6,2
6,5
6,8
6,8
6,5
6,3
5,9
5,9

Dataseries Y:

Download CSV

Histogram

8,9
8,9
8,5
8,1
7,5
7,1
6,9
7,1
7
6,7
7
7,3
7,7
8,4
8,4
8,8
9,1
9
8,6
7,9
7,7
7,8
9,1
9,4
9,3
8,7
8,4
8,6
9
9,1
8,7
8,2
7,9
7,9
9,1
9,4
9,5
9,1
9
9,3
9,9
9,8
9,4
8,3
8
8,5
10,4
11,1
10,9
9,9
9,2
9,2
9,5
9,6
9,5
9,1
8,9
9
10,1
10,3
10,2
9,6
9,2
9,3
9,4
9,4
9,2
9
9
9
9,8
10
9,9
9,3
9
9
9,1
9,1
9,1
9,2
8,8
8,3
8,4
8,1
7,8
7,9
7,9
8
7,9
7,5
7,2
6,9
6,6
6,7

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=16888&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=16888&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=16888&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 Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Pearson Product Moment Correlation - Ungrouped Data
Statistic	Variable X	Variable Y
Mean	6.9531914893617	8.71808510638298
Biased Variance	0.659511090991399	0.923396333182436
Biased Standard Deviation	0.812102882023823	0.960935134742421
Covariance	0.54709219858156
Correlation	0.693602248380288
Determination	0.481084078958191
T-Test	9.23540420960198
p-value (2 sided)	9.32587340685131e-15
p-value (1 sided)	4.66293670342566e-15
Degrees of Freedom	92
Number of Observations	94

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 6.9531914893617 & 8.71808510638298 \tabularnewline
Biased Variance & 0.659511090991399 & 0.923396333182436 \tabularnewline
Biased Standard Deviation & 0.812102882023823 & 0.960935134742421 \tabularnewline
Covariance & 0.54709219858156 \tabularnewline
Correlation & 0.693602248380288 \tabularnewline
Determination & 0.481084078958191 \tabularnewline
T-Test & 9.23540420960198 \tabularnewline
p-value (2 sided) & 9.32587340685131e-15 \tabularnewline
p-value (1 sided) & 4.66293670342566e-15 \tabularnewline
Degrees of Freedom & 92 \tabularnewline
Number of Observations & 94 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=16888&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]6.9531914893617[/C][C]8.71808510638298[/C][/ROW]
[ROW][C]Biased Variance[/C][C]0.659511090991399[/C][C]0.923396333182436[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]0.812102882023823[/C][C]0.960935134742421[/C][/ROW]
[ROW][C]Covariance[/C][C]0.54709219858156[/C][/ROW]
[ROW][C]Correlation[/C][C]0.693602248380288[/C][/ROW]
[ROW][C]Determination[/C][C]0.481084078958191[/C][/ROW]
[ROW][C]T-Test[/C][C]9.23540420960198[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]9.32587340685131e-15[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]4.66293670342566e-15[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]92[/C][/ROW]
[ROW][C]Number of Observations[/C][C]94[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=16888&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=16888&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
Statistic	Variable X	Variable Y
Mean	6.9531914893617	8.71808510638298
Biased Variance	0.659511090991399	0.923396333182436
Biased Standard Deviation	0.812102882023823	0.960935134742421
Covariance	0.54709219858156
Correlation	0.693602248380288
Determination	0.481084078958191
T-Test	9.23540420960198
p-value (2 sided)	9.32587340685131e-15
p-value (1 sided)	4.66293670342566e-15
Degrees of Freedom	92
Number of Observations	94

Figure 1

PNG link

Postscript link

PDF link

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code