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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_correlation.wasp
Title produced by softwarePearson Correlation
Date of computationThu, 17 Nov 2011 03:20:22 -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/2011/Nov/17/t1321518030yhr6j2sl2jc2c8s.htm/, Retrieved Fri, 26 Apr 2024 10:29:57 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=144273, Retrieved Fri, 26 Apr 2024 10:29:57 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact110

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Pearson Correlation] [] [2011-11-17 08:20:22] [3eda06f9e914bde86f40a764ca976328] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
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39
30
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34
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35
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37
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37
35
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33
29
33
31
36
35
32
29
39
37
35
37
32
38
37
36
32
33
40
38
41
36
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30
31
32
32
37
37
33
34
33
38
33
31
38
37
33
31
39
44
33
35
32
28
40
27
37
32
28
34
30
35
31
32
30
30
31
40
32
36
32
35
38
42
34
35
35
33
36
32
33
34
32
34
Dataseries Y:
Download CSV
Histogram 
12
11
14
12
21
12
22
11
10
13
10
8
15
14
10
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14
11
10
13
7
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12
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9
11
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12
10
10
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Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 0 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=144273&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]0 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=144273&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=144273&T=0

As an alternative you can also use a QR Code:  
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 time0 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean34.623456790123512.9197530864198
Biased Variance11.32117817405889.96269623532998
Biased Standard Deviation3.364695851642293.15637390613501
Covariance-1.28506249520742
Correlation-0.120254366054386
Determination0.0144611125551423
T-Test-1.53223000197229
p-value (2 sided)0.127440553446317
p-value (1 sided)0.0637202767231587
Degrees of Freedom160
Number of Observations162

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 34.6234567901235 & 12.9197530864198 \tabularnewline
Biased Variance & 11.3211781740588 & 9.96269623532998 \tabularnewline
Biased Standard Deviation & 3.36469585164229 & 3.15637390613501 \tabularnewline
Covariance & -1.28506249520742 \tabularnewline
Correlation & -0.120254366054386 \tabularnewline
Determination & 0.0144611125551423 \tabularnewline
T-Test & -1.53223000197229 \tabularnewline
p-value (2 sided) & 0.127440553446317 \tabularnewline
p-value (1 sided) & 0.0637202767231587 \tabularnewline
Degrees of Freedom & 160 \tabularnewline
Number of Observations & 162 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=144273&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]34.6234567901235[/C][C]12.9197530864198[/C][/ROW]
[ROW][C]Biased Variance[/C][C]11.3211781740588[/C][C]9.96269623532998[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]3.36469585164229[/C][C]3.15637390613501[/C][/ROW]
[ROW][C]Covariance[/C][C]-1.28506249520742[/C][/ROW]
[ROW][C]Correlation[/C][C]-0.120254366054386[/C][/ROW]
[ROW][C]Determination[/C][C]0.0144611125551423[/C][/ROW]
[ROW][C]T-Test[/C][C]-1.53223000197229[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.127440553446317[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.0637202767231587[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]160[/C][/ROW]
[ROW][C]Number of Observations[/C][C]162[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=144273&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=144273&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean34.623456790123512.9197530864198
Biased Variance11.32117817405889.96269623532998
Biased Standard Deviation3.364695851642293.15637390613501
Covariance-1.28506249520742
Correlation-0.120254366054386
Determination0.0144611125551423
T-Test-1.53223000197229
p-value (2 sided)0.127440553446317
p-value (1 sided)0.0637202767231587
Degrees of Freedom160
Number of Observations162


Figures (Output of Computation)

Input Parameters & R Code

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')