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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 09:04:30 -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/t1224428727n67koxgr22mhbaa.htm/, Retrieved Sun, 19 May 2024 02:42:41 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=16899, Retrieved Sun, 19 May 2024 02:42:41 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

124

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

F       [Pearson Correlation] [werkloze mannen v...] [2008-10-19 15:04:30] [1aceffc2fa350402d9e8f8edd757a2e8] [Current]

Feedback Forum

2008-10-26 13:34:55 [a3bd64f7d45ff4aaf16467137b923bbb] [reply] 
Een negatieve correlatie bestaat wel degelijk. Dit betekent dat er een negatieve dalende verloop is.

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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

3,4
3
3,1
2,5
2,2
2,3
2,1
2,8
3,1
2,9
2,6
2,7
2,3
2,3
2,1
2,2
2,9
2,6
2,7
1,8
1,3
0,9
1,3
1,3
1,3
1,3
1,1
1,4
1,2
1,7
1,8
1,5
1
1,6
1,5
1,8
1,8
1,6
1,9
1,7
1,6
1,3
1,1
1,9
2,6
2,3
2,4
2,2
2
2,9
2,6
2,3
2,3
2,6
3,1
2,8
2,5
2,9
3,1
3,1
3,2
2,5
2,6
2,9
2,6
2,4
1,7
2
2,2
1,9
1,6
1,6
1,2
1,2
1,5
1,6
1,7
1,8
1,8
1,8
1,3
1,3
1,4
1,1
1,5
2,2
2,9
3,1
3,5
3,6
4,4
4,2
5,2
5,8

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=16899&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=16899&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=16899&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	2.22872340425532
Biased Variance	0.659511090991399	0.767366455409688
Biased Standard Deviation	0.812102882023823	0.87599455215754
Covariance	-0.209071150766415
Correlation	-0.290761397540169
Determination	0.0845421902995123
T-Test	-2.91481834587536
p-value (2 sided)	0.00446890177471159
p-value (1 sided)	0.00223445088735580
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 & 2.22872340425532 \tabularnewline
Biased Variance & 0.659511090991399 & 0.767366455409688 \tabularnewline
Biased Standard Deviation & 0.812102882023823 & 0.87599455215754 \tabularnewline
Covariance & -0.209071150766415 \tabularnewline
Correlation & -0.290761397540169 \tabularnewline
Determination & 0.0845421902995123 \tabularnewline
T-Test & -2.91481834587536 \tabularnewline
p-value (2 sided) & 0.00446890177471159 \tabularnewline
p-value (1 sided) & 0.00223445088735580 \tabularnewline
Degrees of Freedom & 92 \tabularnewline
Number of Observations & 94 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=16899&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]2.22872340425532[/C][/ROW]
[ROW][C]Biased Variance[/C][C]0.659511090991399[/C][C]0.767366455409688[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]0.812102882023823[/C][C]0.87599455215754[/C][/ROW]
[ROW][C]Covariance[/C][C]-0.209071150766415[/C][/ROW]
[ROW][C]Correlation[/C][C]-0.290761397540169[/C][/ROW]
[ROW][C]Determination[/C][C]0.0845421902995123[/C][/ROW]
[ROW][C]T-Test[/C][C]-2.91481834587536[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.00446890177471159[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.00223445088735580[/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=16899&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=16899&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	2.22872340425532
Biased Variance	0.659511090991399	0.767366455409688
Biased Standard Deviation	0.812102882023823	0.87599455215754
Covariance	-0.209071150766415
Correlation	-0.290761397540169
Determination	0.0845421902995123
T-Test	-2.91481834587536
p-value (2 sided)	0.00446890177471159
p-value (1 sided)	0.00223445088735580
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