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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

Wed, 08 Dec 2010 15:59:35 +0000

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/2010/Dec/08/t1291823917fd3lpqrqlu9tfo6.htm/, Retrieved Fri, 03 May 2024 11:00:14 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=106975, Retrieved Fri, 03 May 2024 11:00:14 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

140

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

-     [Central Tendency] [] [2010-10-20 19:08:13] [b98453cac15ba1066b407e146608df68]
- RM D    [Pearson Correlation] [] [2010-12-08 15:59:35] [dcc54e7e6e8c80b7c45e040080afe6ab] [Current]

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Dataseries X:

Download CSV

Histogram

Boxplots

-999
2
-999
-999
1,8
0,7
3,9
1
3,6
1,4
1,5
0,7
2,7
-999
2,1
0
4,1
1,2
1,3
6,1
0,3
0,5
3,4
-999
1,5
-999
3,4
0,8
0,8
-999
-999
1,4
2
1,9
2,4
2,8
1,3
2
5,6
14,3
1
1,8
0,9
1,8
1,9
0,9
-999
2,6
2,4
1,2
0,9
0,5
-999
0,6
-999
2,2
2,3
0,5
2,6
0,6
6,6
-999

Dataseries Y:

Download CSV

Histogram

-999
6,3
-999
-999
2,1
9,1
15,8
5,2
10,9
8,3
11
3,2
7,6
-999
6,3
8,6
6,6
9,5
4,8
12
-999
3,3
11
-999
4,7
-999
10,4
7,4
2,1
-999
-999
7,7
17,9
6,1
8,2
8,4
11,9
10,8
13,8
14,3
-999
15,2
10
11,9
6,5
7,5
-999
10,6
7,4
8,4
5,7
4,9
-999
3,2
-999
8,1
11
4,9
13,2
9,7
12,8
-999

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=106975&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=106975&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=106975&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	2 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Pearson Product Moment Correlation - Ungrouped Data
Statistic	Variable X	Variable Y
Mean	-191.583870967742	-218.866129032258
Biased Variance	156465.028449532	177521.107078564
Biased Standard Deviation	395.556605872702	421.332537407882
Covariance	153706.716493919
Correlation	0.907397023189218
Determination	0.823369357692654
T-Test	16.7239920050546
p-value (2 sided)	0
p-value (1 sided)	0
Degrees of Freedom	60
Number of Observations	62

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & -191.583870967742 & -218.866129032258 \tabularnewline
Biased Variance & 156465.028449532 & 177521.107078564 \tabularnewline
Biased Standard Deviation & 395.556605872702 & 421.332537407882 \tabularnewline
Covariance & 153706.716493919 \tabularnewline
Correlation & 0.907397023189218 \tabularnewline
Determination & 0.823369357692654 \tabularnewline
T-Test & 16.7239920050546 \tabularnewline
p-value (2 sided) & 0 \tabularnewline
p-value (1 sided) & 0 \tabularnewline
Degrees of Freedom & 60 \tabularnewline
Number of Observations & 62 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=106975&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]-191.583870967742[/C][C]-218.866129032258[/C][/ROW]
[ROW][C]Biased Variance[/C][C]156465.028449532[/C][C]177521.107078564[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]395.556605872702[/C][C]421.332537407882[/C][/ROW]
[ROW][C]Covariance[/C][C]153706.716493919[/C][/ROW]
[ROW][C]Correlation[/C][C]0.907397023189218[/C][/ROW]
[ROW][C]Determination[/C][C]0.823369357692654[/C][/ROW]
[ROW][C]T-Test[/C][C]16.7239920050546[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]60[/C][/ROW]
[ROW][C]Number of Observations[/C][C]62[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=106975&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=106975&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	-191.583870967742	-218.866129032258
Biased Variance	156465.028449532	177521.107078564
Biased Standard Deviation	395.556605872702	421.332537407882
Covariance	153706.716493919
Correlation	0.907397023189218
Determination	0.823369357692654
T-Test	16.7239920050546
p-value (2 sided)	0
p-value (1 sided)	0
Degrees of Freedom	60
Number of Observations	62

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