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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

Mon, 13 Dec 2010 19:30:35 +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/13/t1292268540vcj8g7t2tasq2h5.htm/, Retrieved Tue, 07 May 2024 03:03:00 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=109100, Retrieved Tue, 07 May 2024 03:03:00 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

141

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

-     [Pearson Correlation] [correlatie totale...] [2010-12-13 10:33:14] [dc30d19c3bc2be07fe595ad36c2cf923]
-    D    [Pearson Correlation] [Correlatie Totale...] [2010-12-13 19:30:35] [1638ccfec791c539017705f3e680eb33] [Current]

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Dataseries X:

Download CSV

Histogram

Boxplots

3.3
8.3
12.5
3.9
9.8
19.7
6.2
14.5
9.7
12.5
3.9
3.1
8.4
8.6
10.7
10.7
6.1
18.1
3.8
14.4
12.0
6.2
13.0
13.8
8.2
2.9
10.8
9.1
19.9
8.0
13.2
12.8
19.4
17.4
17.0
10.9
13.7
8.4
8.4
12.5
13.2
9.8
9.6
6.6
5.4
2.6
3.8
11.0
10.3
13.3
5.4
15.8
10.3
19.4

Dataseries Y:

Download CSV

Histogram

38.6
4.5
14.0
69.0
27.0
19.0
30.4
28.0
50.0
7.0
30.0
40.0
3.5
50.0
6.0
10.4
34.0
7.0
20.0
3.9
39.3
41.0
16.2
9.0
7.6
46.0
22.4
2.6
24.0
100.0
3.2
2.0
5.0
6.5
12.0
20.2
13.0
27.0
18.0
13.7
4.7
9.8
29.0
7.0
6.0
17.0
20.0
12.7
3.5
4.5
7.5
2.3
24.0
3.0

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	'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=109100&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=109100&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109100&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	'George Udny Yule' @ 72.249.76.132

Pearson Product Moment Correlation - Ungrouped Data
Statistic	Variable X	Variable Y
Mean	10.4129629629630	19.8518518518519
Biased Variance	21.7181652949246	347.290644718793
Biased Standard Deviation	4.66027523810821	18.6357356903019
Covariance	-36.2972886093641
Correlation	-0.41020238875955
Determination	0.168265999744041
T-Test	-3.2434531509525
p-value (2 sided)	0.00206554908880522
p-value (1 sided)	0.00103277454440261
Degrees of Freedom	52
Number of Observations	54

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 10.4129629629630 & 19.8518518518519 \tabularnewline
Biased Variance & 21.7181652949246 & 347.290644718793 \tabularnewline
Biased Standard Deviation & 4.66027523810821 & 18.6357356903019 \tabularnewline
Covariance & -36.2972886093641 \tabularnewline
Correlation & -0.41020238875955 \tabularnewline
Determination & 0.168265999744041 \tabularnewline
T-Test & -3.2434531509525 \tabularnewline
p-value (2 sided) & 0.00206554908880522 \tabularnewline
p-value (1 sided) & 0.00103277454440261 \tabularnewline
Degrees of Freedom & 52 \tabularnewline
Number of Observations & 54 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=109100&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]10.4129629629630[/C][C]19.8518518518519[/C][/ROW]
[ROW][C]Biased Variance[/C][C]21.7181652949246[/C][C]347.290644718793[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]4.66027523810821[/C][C]18.6357356903019[/C][/ROW]
[ROW][C]Covariance[/C][C]-36.2972886093641[/C][/ROW]
[ROW][C]Correlation[/C][C]-0.41020238875955[/C][/ROW]
[ROW][C]Determination[/C][C]0.168265999744041[/C][/ROW]
[ROW][C]T-Test[/C][C]-3.2434531509525[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.00206554908880522[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.00103277454440261[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]52[/C][/ROW]
[ROW][C]Number of Observations[/C][C]54[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=109100&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109100&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	10.4129629629630	19.8518518518519
Biased Variance	21.7181652949246	347.290644718793
Biased Standard Deviation	4.66027523810821	18.6357356903019
Covariance	-36.2972886093641
Correlation	-0.41020238875955
Determination	0.168265999744041
T-Test	-3.2434531509525
p-value (2 sided)	0.00206554908880522
p-value (1 sided)	0.00103277454440261
Degrees of Freedom	52
Number of Observations	54

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')

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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code