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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, 11 Dec 2012 09:54:24 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Dec/11/t1355237701a5klup6vf0cmi65.htm/, Retrieved Thu, 28 Mar 2024 14:58:07 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=198517, Retrieved Thu, 28 Mar 2024 14:58:07 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact84
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Pearson Correlation] [Connected vs Sepa...] [2010-10-04 07:35:56] [b98453cac15ba1066b407e146608df68]
- R       [Pearson Correlation] [Paper: Deel 1: Sc...] [2012-12-11 14:54:24] [6911e824e8f496f8869f7e48d53c8ec0] [Current]
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Dataseries X:
34
33
29
34
32
35
41
27
40
40
36
40
43
40
33
37
32
26
36
39
38
34
35
41
42
36
39
33
33
36
37
36
34
32
35
39
30
25
29
39
31
26
28
40
32
35
32
41
34
36
38
34
32
34
32
40
43
35
45
36
39
31
36
36
37
40
35
36
32
36
37
42
37
36
36
33
37
35
37
28
33
45
38
43
37
36
40
39
43
32
37
34
44
35
34
37
40
36
44
35
34
40
34
39
36
40
37
35
45
39
39
37
38
46
37
27
33
42
33
33
33
38
37
35
33
39
38
39
38
30
43
34
39
36
32
37
42
40
35
39
34
28
30
36
31
34
33
37
40
39
42
47
38
38
40
37
29
37
37
33
31
36
37
39
35
33
37
42
31
32
36
32
40
32
30
37
42
37
47
37
31
41
44
40
37
33
35
40
38
36
36
35
30
37
43
33
39
38
40
29
35
37
26
28
38
29
35
38
39
44
33
35
42
30
36
40
39
36
37
37
37
36
30
32
35
42
41
35
33
39
34
39
41
34
30
29
33
40
32
37
37
36
41
34
38
40
42
32
40
38
35
34
38
24
39
42
44
35
37
34
41
33
42
30
30
40
49
39
29
39
35
35
34
24
47
24
30
34
41
32
32
35
37
40
45
35
39
46
33
40
35
38
36
34
30
44
37
36
37
34
43
31
34
38
38
34
26
36
35
37
40
43
29
30
36
38
43
41
31
36
44
35
42
31
38
34
40
41
30
43
Dataseries Y:
30
28
31
35
35
37
39
31
38
37
37
35
37
42
28
37
36
37
33
40
30
36
33
40
37
37
39
35
36
34
36
32
33
27
37
32
31
31
32
37
25
30
37
37
40
35
35
43
32
42
35
27
30
31
36
36
41
34
36
33
35
28
33
38
37
39
34
32
36
36
35
33
42
36
33
36
32
35
38
33
32
38
39
39
39
30
38
38
42
41
31
39
40
31
34
23
28
36
41
29
31
33
35
35
34
40
34
36
35
39
33
37
40
32
37
27
35
37
32
31
31
38
34
30
34
37
38
33
35
27
34
35
39
35
34
36
36
32
39
40
35
31
35
38
37
31
32
35
39
31
39
48
33
36
40
37
34
42
39
28
26
30
30
39
37
40
38
35
33
34
33
41
36
27
33
38
31
31
46
33
34
47
36
38
32
33
34
34
37
37
41
27
31
38
30
36
30
34
32
29
29
39
32
30
39
30
40
41
38
37
33
34
36
39
41
42
38
40
32
40
37
36
28
36
35
32
38
32
39
39
31
33
46
38
24
28
35
39
37
38
38
32
36
28
38
28
37
28
40
34
33
32
30
33
37
39
42
36
35
32
35
33
36
31
32
38
46
39
31
39
36
37
33
22
42
28
28
31
36
37
35
31
37
38
46
40
43
49
39
37
36
31
32
38
37
36
21
32
36
35
39
28
42
36
41
30
18
37
28
39
40
44
26
34
37
37
32
29
31
32
44
39
39
35
36
33
35
35
30
38




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net

\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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=198517&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=198517&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=198517&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'Gertrude Mary Cox' @ cox.wessa.net







Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean36.248484848484835.0454545454545
Biased Variance19.962497704315920.3039944903581
Biased Standard Deviation4.467941103496764.5059953939566
Covariance10.6208897485493
Correlation0.52595026181494
Determination0.276623677903204
T-Test11.1995211160927
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom328
Number of Observations330

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 36.2484848484848 & 35.0454545454545 \tabularnewline
Biased Variance & 19.9624977043159 & 20.3039944903581 \tabularnewline
Biased Standard Deviation & 4.46794110349676 & 4.5059953939566 \tabularnewline
Covariance & 10.6208897485493 \tabularnewline
Correlation & 0.52595026181494 \tabularnewline
Determination & 0.276623677903204 \tabularnewline
T-Test & 11.1995211160927 \tabularnewline
p-value (2 sided) & 0 \tabularnewline
p-value (1 sided) & 0 \tabularnewline
Degrees of Freedom & 328 \tabularnewline
Number of Observations & 330 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=198517&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]36.2484848484848[/C][C]35.0454545454545[/C][/ROW]
[ROW][C]Biased Variance[/C][C]19.9624977043159[/C][C]20.3039944903581[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]4.46794110349676[/C][C]4.5059953939566[/C][/ROW]
[ROW][C]Covariance[/C][C]10.6208897485493[/C][/ROW]
[ROW][C]Correlation[/C][C]0.52595026181494[/C][/ROW]
[ROW][C]Determination[/C][C]0.276623677903204[/C][/ROW]
[ROW][C]T-Test[/C][C]11.1995211160927[/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]328[/C][/ROW]
[ROW][C]Number of Observations[/C][C]330[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=198517&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=198517&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
Mean36.248484848484835.0454545454545
Biased Variance19.962497704315920.3039944903581
Biased Standard Deviation4.467941103496764.5059953939566
Covariance10.6208897485493
Correlation0.52595026181494
Determination0.276623677903204
T-Test11.1995211160927
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom328
Number of Observations330



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')