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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_partialcorrelation.wasp
Title produced by softwarePartial Correlation
Date of computationTue, 11 Nov 2008 02:30:58 -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/Nov/11/t1226395916a1qt15xis9qh45n.htm/, Retrieved Sun, 19 May 2024 10:23:23 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=23247, Retrieved Sun, 19 May 2024 10:23:23 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact180

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F       [Partial Correlation] [Partial Correlation] [2008-11-11 09:30:58] [357d3e8a0ea9b107f483347f947dfe8f] [Current]
-         [Partial Correlation] [] [2008-11-11 17:32:07] [888addc516c3b812dd7be4bd54caa358]
Feedback Forum
2008-11-20 15:43:22 [Hidde Van Kerckhoven] [reply] 
partiele correlatie laat de correlatie zien tussen drie variabelen. We kunnen hieruit aflijden dat er een duidelijke correlatie is tussen x en y (bel 20 en inflatie) toch is deze minder als de goudprijs weggewerkt is (z)... Voor de rest zien we dat de correlatie wordt afgezwakt als we de derde variabele eruit halen...
2008-11-21 14:53:11 [Gregory Van Overmeiren] [reply] 
We gaan hier 3 variabelen met elkaar vergelijken (x,y en z).

Correlation r(xz) 0.911739220182589
Partial Correlation r(xz.y) 0.392786175794895

=> Hier zien we een correlatie van 0.91 tussen X en Z.

Als we de partiële correlatie bekijken r(X,Z|Y) (=> De variabele rechts van de verticale lijn is de “control variable”.) zien we dat de correlatie gezakt is van 0.91 naar 0.39! Met andere woorden, r(X,Z|Y) is een berekening van de relatie tussen X en Z, als we Y constant houden. Dus stel als r(X,Z) relatief groot is, maar r(X,Z|Y) veel kleiner, kunnen we besluiten dat Y een tussenkomende variabele is (=> mediating variable).
2008-11-21 14:53:11 [Gregory Van Overmeiren] [reply] 
We gaan hier 3 variabelen met elkaar vergelijken (x,y en z).

Correlation r(xz) 0.911739220182589
Partial Correlation r(xz.y) 0.392786175794895

=> Hier zien we een correlatie van 0.91 tussen X en Z.

Als we de partiële correlatie bekijken r(X,Z|Y) (=> De variabele rechts van de verticale lijn is de “control variable”.) zien we dat de correlatie gezakt is van 0.91 naar 0.39! Met andere woorden, r(X,Z|Y) is een berekening van de relatie tussen X en Z, als we Y constant houden. Dus stel als r(X,Z) relatief groot is, maar r(X,Z|Y) veel kleiner, kunnen we besluiten dat Y een tussenkomende variabele is (=> mediating variable).

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
94,71
93,77
95,73
95,99
95,82
95,47
95,82
94,71
96,33
96,5
96,16
96,33
96,33
95,05
96,84
96,92
97,44
97,78
97,69
96,67
98,29
98,2
98,71
98,54
98,2
96,92
99,06
99,65
99,82
99,99
100,33
99,31
101,1
101,1
100,93
100,85
100,93
99,6
101,88
101,81
102,38
102,74
102,82
101,72
103,47
102,98
102,68
102,9
103,03
101,29
103,69
103,68
104,2
104,08
104,16
103,05
104,66
104,46
104,95
105,85
106,23
Dataseries Y:
Download CSV
Histogram 
1995,37
1946,81
1765,9
1635,25
1833,42
1910,43
1959,67
1969,6
2061,41
2093,48
2120,88
2174,56
2196,72
2350,44
2440,25
2408,64
2472,81
2407,6
2454,62
2448,05
2497,84
2645,64
2756,76
2849,27
2921,44
2981,85
3080,58
3106,22
3119,31
3061,26
3097,31
3161,69
3257,16
3277,01
3295,32
3363,99
3494,17
3667,03
3813,06
3917,96
3895,51
3801,06
3570,12
3701,61
3862,27
3970,1
4138,52
4199,75
4290,89
4443,91
4502,64
4356,98
4591,27
4696,96
4621,4
4562,84
4202,52
4296,49
4435,23
4105,18
4116,68
Dataseries Z:
Download CSV
Histogram 
10511
10812
10738
10171
9721
9897
9828
9924
10371
10846
10413
10709
10662
10570
10297
10635
10872
10296
10383
10431
10574
10653
10805
10872
10625
10407
10463
10556
10646
10702
11353
11346
11451
11964
12574
13031
13812
14544
14931
14886
16005
17064
15168
16050
15839
15137
14954
15648
15305
15579
16348
15928
16171
15937
15713
15594
15683
16438
17032
17696
17745

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=23247&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=23247&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=23247&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 Partial Correlation - Ungrouped Data
StatisticValue
Correlation r(xy)0.947093853537081
Partial Correlation r(xy.z)0.695467853623781
Correlation r(xz)0.911739220182589
Partial Correlation r(xz.y)0.392786175794895
Correlation r(yz)0.906458998173262
Partial Correlation r(yz.x)0.325823969538404

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Partial Correlation - Ungrouped Data \tabularnewline
Statistic & Value \tabularnewline
Correlation r(xy) & 0.947093853537081 \tabularnewline
Partial Correlation r(xy.z) & 0.695467853623781 \tabularnewline
Correlation r(xz) & 0.911739220182589 \tabularnewline
Partial Correlation r(xz.y) & 0.392786175794895 \tabularnewline
Correlation r(yz) & 0.906458998173262 \tabularnewline
Partial Correlation r(yz.x) & 0.325823969538404 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=23247&T=1

[TABLE]
[ROW][C]Pearson Product Moment Partial Correlation - Ungrouped Data[/C][/ROW]
[ROW][C]Statistic[/C][C]Value[/C][/ROW]
[ROW][C]Correlation r(xy)[/C][C]0.947093853537081[/C][/ROW]
[ROW][C]Partial Correlation r(xy.z)[/C][C]0.695467853623781[/C][/ROW]
[ROW][C]Correlation r(xz)[/C][C]0.911739220182589[/C][/ROW]
[ROW][C]Partial Correlation r(xz.y)[/C][C]0.392786175794895[/C][/ROW]
[ROW][C]Correlation r(yz)[/C][C]0.906458998173262[/C][/ROW]
[ROW][C]Partial Correlation r(yz.x)[/C][C]0.325823969538404[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=23247&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=23247&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 Partial Correlation - Ungrouped Data
StatisticValue
Correlation r(xy)0.947093853537081
Partial Correlation r(xy.z)0.695467853623781
Correlation r(xz)0.911739220182589
Partial Correlation r(xz.y)0.392786175794895
Correlation r(yz)0.906458998173262
Partial Correlation r(yz.x)0.325823969538404


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
Parameters (R input):
R code (references can be found in the software module):
(rho12 <- cor(x, y))
(rho23 <- cor(y, z))
(rho13 <- cor(x, z))
(rhoxy_z <- (rho12-(rho13*rho23))/(sqrt(1-(rho13*rho13)) * sqrt(1-(rho23*rho23))))
(rhoxz_y <- (rho13-(rho12*rho23))/(sqrt(1-(rho12*rho12)) * sqrt(1-(rho23*rho23))))
(rhoyz_x <- (rho23-(rho12*rho13))/(sqrt(1-(rho12*rho12)) * sqrt(1-(rho13*rho13))))
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Pearson Product Moment Partial Correlation - Ungrouped Data',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Statistic',1,TRUE)
a<-table.element(a,'Value',1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Correlation r(xy)',header=TRUE)
a<-table.element(a,rho12)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('partial_correlation1.htm','Partial Correlation r(xy.z)',''),header=TRUE)
a<-table.element(a,rhoxy_z)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Correlation r(xz)',header=TRUE)
a<-table.element(a,rho13)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('partial_correlation1.htm','Partial Correlation r(xz.y)',''),header=TRUE)
a<-table.element(a,rhoxz_y)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Correlation r(yz)',header=TRUE)
a<-table.element(a,rho23)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('partial_correlation1.htm','Partial Correlation r(yz.x)',''),header=TRUE)
a<-table.element(a,rhoyz_x)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')