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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, 05 Dec 2008 05:00:38 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Dec/05/t1228478483p4dn8lskm71ywfj.htm/, Retrieved Thu, 16 May 2024 21:07:43 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=29205, Retrieved Thu, 16 May 2024 21:07:43 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact184

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] [Werkloosheidsgraa...] [2008-12-05 10:45:42] [e5d91604aae608e98a8ea24759233f66]
-   PD  [Univariate Data Series] [Inflatie op jaarb...] [2008-12-05 10:52:23] [e5d91604aae608e98a8ea24759233f66]
-   PD    [Univariate Data Series] [Investeringen vol...] [2008-12-05 10:58:14] [e5d91604aae608e98a8ea24759233f66]
-   P       [Univariate Data Series] [Indicator van het...] [2008-12-05 10:59:58] [e5d91604aae608e98a8ea24759233f66]
-   PD        [Univariate Data Series] [Indicator van het...] [2008-12-05 11:05:22] [e5d91604aae608e98a8ea24759233f66]
- RMPD            [Pearson Correlation] [Correlatie: Werkl...] [2008-12-05 12:00:38] [55ca0ca4a201c9689dcf5fae352c92eb] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
9.4
9.4
9.5
9.5
9.4
9.4
9.3
9.4
9.4
9.2
9.1
9.1
9.1
9.1
9
8.9
8.8
8.7
8.4
8.3
8.2
7.9
7.8
7.7
7.3
7.2
7.1
6.9
6.8
6.7
6.8
6.9
6.7
6.8
6.8
6.7
6.3
6.2
6.2
6.5
6.5
6.4
6.2
6.2
6.3
7.5
7.4
7.4
7.4
7.4
7.4
7.2
7.2
7.1
7.5
7.4
7.5
8
8.1
8.1
8.1
8.1
8.1
7.9
7.9
8
8.1
8.1
8.1
8.6
8.6
8.6
8.4
8.4
8.4
7.7
7.8
7.9
8.7
8.8
8.8
8.5
8.5
8.5
8.4
8.5
8.5
8.3
8.4
8.4
8.5
8.4
8.4
8.5
8.5
8.5
8.5
8.5
8.5
8.3
8.3
8.3
8.3
8.2
8.2
8.1
8
7.8
7.9
7.8
7.7
7.8
7.7
7.6
7.3
7.3
7.1
7.1
7.1
7
Dataseries Y:
Download CSV
Histogram 
19
23
22
23
25
25
23
22
21
16
21
21
26
23
22
22
22
12
20
18
23
25
28
28
29
31
33
32
33
35
33
36
30
34
34
35
33
28
27
23
23
24
24
20
16
6
2
12
19
21
22
20
21
20
19
17
17
17
16
12
11
7
2
9
11
10
7
9
15
5
14
14
17
19
17
16
14
20
16
18
18
14
13
14
14
17
18
15
9
9
9
10
6
12
11
15
19
18
15
16
14
18
18
18
18
22
21
12
19
21
19
22
22
21
19
18
18
19
12
16

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'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 & 1 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=29205&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=29205&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=29205&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'George Udny Yule' @ 72.249.76.132






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean7.9533333333333318.95
Biased Variance0.71765555555555651.9475
Biased Standard Deviation0.8471455338698047.2074614116206
Covariance-2.16537815126050
Correlation-0.351689266802554
Determination0.123685340384118
T-Test-4.08103274537099
p-value (2 sided)8.18792271810252e-05
p-value (1 sided)4.09396135905126e-05
Degrees of Freedom118
Number of Observations120

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 7.95333333333333 & 18.95 \tabularnewline
Biased Variance & 0.717655555555556 & 51.9475 \tabularnewline
Biased Standard Deviation & 0.847145533869804 & 7.2074614116206 \tabularnewline
Covariance & -2.16537815126050 \tabularnewline
Correlation & -0.351689266802554 \tabularnewline
Determination & 0.123685340384118 \tabularnewline
T-Test & -4.08103274537099 \tabularnewline
p-value (2 sided) & 8.18792271810252e-05 \tabularnewline
p-value (1 sided) & 4.09396135905126e-05 \tabularnewline
Degrees of Freedom & 118 \tabularnewline
Number of Observations & 120 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=29205&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]7.95333333333333[/C][C]18.95[/C][/ROW]
[ROW][C]Biased Variance[/C][C]0.717655555555556[/C][C]51.9475[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]0.847145533869804[/C][C]7.2074614116206[/C][/ROW]
[ROW][C]Covariance[/C][C]-2.16537815126050[/C][/ROW]
[ROW][C]Correlation[/C][C]-0.351689266802554[/C][/ROW]
[ROW][C]Determination[/C][C]0.123685340384118[/C][/ROW]
[ROW][C]T-Test[/C][C]-4.08103274537099[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]8.18792271810252e-05[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]4.09396135905126e-05[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]118[/C][/ROW]
[ROW][C]Number of Observations[/C][C]120[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=29205&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=29205&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
Mean7.9533333333333318.95
Biased Variance0.71765555555555651.9475
Biased Standard Deviation0.8471455338698047.2074614116206
Covariance-2.16537815126050
Correlation-0.351689266802554
Determination0.123685340384118
T-Test-4.08103274537099
p-value (2 sided)8.18792271810252e-05
p-value (1 sided)4.09396135905126e-05
Degrees of Freedom118
Number of Observations120


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = Inflatie indexcijfer der consumptieprijzen ; par2 = http://ecodata.mineco.fgov.be/mdn/ts_structur.jsp?table=EI0_ ; par3 = Economische indicator voor België. Maandelijks, volledige tijdreeks van januari 1998 tot december 2007 - Inflatie op jaarbasis: indexcijfer der consumptieprijzen ;
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')