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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 computationFri, 10 Dec 2010 12:20:37 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/10/t1291983555jv9o4cglklom1ix.htm/, Retrieved Mon, 29 Apr 2024 10:19:00 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=107601, Retrieved Mon, 29 Apr 2024 10:19:00 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact138

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [Aantal bouwvergun...] [2010-12-09 21:09:37] [05ab9592748364013445d860bb938e43]
-   P   [Univariate Data Series] [Aantal bouwvergun...] [2010-12-10 10:37:18] [05ab9592748364013445d860bb938e43]
- RMPD      [Pearson Correlation] [correlatie #bouwa...] [2010-12-10 12:20:37] [60147a93d53c93401a082f47876e6cb5] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
75
70
72
69
75
74
74
75
79
79
85
78
84
85
85
82
91
90
98
98
103
104
Dataseries Y:
Download CSV
Histogram 
13791
16282
14333
14978
16873
15851
14361
14070
14071
13429
12687
13735
13986
13475
12221
12920
10716
11903
12060
10628
12688
17207

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107601&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107601&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107601&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 time1 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean82.954545454545513739.3181818182
Biased Variance105.225206611572986077.21694215
Biased Standard Deviation10.25793383735591728.02697228433
Covariance-8163.27056277056
Correlation-0.439592621571647
Determination0.193241672940234
T-Test-2.18873742421354
p-value (2 sided)0.0406499433652407
p-value (1 sided)0.0203249716826203
Degrees of Freedom20
Number of Observations22

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 82.9545454545455 & 13739.3181818182 \tabularnewline
Biased Variance & 105.22520661157 & 2986077.21694215 \tabularnewline
Biased Standard Deviation & 10.2579338373559 & 1728.02697228433 \tabularnewline
Covariance & -8163.27056277056 \tabularnewline
Correlation & -0.439592621571647 \tabularnewline
Determination & 0.193241672940234 \tabularnewline
T-Test & -2.18873742421354 \tabularnewline
p-value (2 sided) & 0.0406499433652407 \tabularnewline
p-value (1 sided) & 0.0203249716826203 \tabularnewline
Degrees of Freedom & 20 \tabularnewline
Number of Observations & 22 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107601&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]82.9545454545455[/C][C]13739.3181818182[/C][/ROW]
[ROW][C]Biased Variance[/C][C]105.22520661157[/C][C]2986077.21694215[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]10.2579338373559[/C][C]1728.02697228433[/C][/ROW]
[ROW][C]Covariance[/C][C]-8163.27056277056[/C][/ROW]
[ROW][C]Correlation[/C][C]-0.439592621571647[/C][/ROW]
[ROW][C]Determination[/C][C]0.193241672940234[/C][/ROW]
[ROW][C]T-Test[/C][C]-2.18873742421354[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.0406499433652407[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.0203249716826203[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]20[/C][/ROW]
[ROW][C]Number of Observations[/C][C]22[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107601&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107601&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
Mean82.954545454545513739.3181818182
Biased Variance105.225206611572986077.21694215
Biased Standard Deviation10.25793383735591728.02697228433
Covariance-8163.27056277056
Correlation-0.439592621571647
Determination0.193241672940234
T-Test-2.18873742421354
p-value (2 sided)0.0406499433652407
p-value (1 sided)0.0203249716826203
Degrees of Freedom20
Number of Observations22


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')