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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 computationMon, 10 Nov 2008 06:52:59 -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/10/t1226326311ccw8mgdnkral3lf.htm/, Retrieved Sun, 19 May 2024 12:00:58 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=23070, Retrieved Sun, 19 May 2024 12:00:58 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact165

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 Correlati...] [2008-11-10 13:52:59] [c33ddd06d9ea3933c8ac89c0e74c9b3a] [Current]
Feedback Forum
2008-11-23 13:38:26 [Joris Deboel] [reply] 
Een correcte productie van de methode.
2008-11-23 18:36:15 [Bonifer Spillemaeckers] [reply] 
De partiele correlatie tussen 3 variabelen wordt hier onderzocht. Bij deze techniek ga je zien of een derde variabele, namelijk Z, een invloed uitoefent op de relatie van de eerste 2 variabelen, namelijk X en Y. Als er tussen X en Y een sterke relatie bestaat en de partiele correlatie tussen X,Y en Z is veel kleiner, dan kan je stellen dat de variabele Z invloed uitoefent op de relatie tussen X en Y. Als de correlatie onveranderd is gebleven, kunnen we stellen dat Z weinig tot geen invloed uitoefent op de andere 2 variabelen.

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
10.413
10.709
10.662
10.570
10.297
10.635
10.872
10.296
10.383
10.431
10.574
10.653
10.805
10.872
10.625
10.407
10.463
10.556
10.646
10.702
11.353
11.346
11.451
11.964
12.574
13.031
13.812
14.544
14.931
14.886
16.005
17.064
15.168
16.050
15.839
15.137
14.954
15.648
15.305
15.579
16.348
15.928
16.171
15.937
15.713
15.594
15.683
16.438
17.032
17.696
17.745
19.394
20.148
20.108
18.584
18.441
18.391
19.178
18.079
18.483
19.644
Dataseries Y:
Download CSV
Histogram 
2,25
2,33
2,18
2,13
1,97
1,89
2,11
2,16
2,28
2,25
2,18
2,28
2,2
2,18
2,23
2,18
2,22
2,24
2,09
2,05
1,98
2,09
2,1
2,2
2,44
2,64
2,68
2,75
2,83
3,04
3,13
3,17
3,33
3,38
3,49
3,55
3,68
3,69
3,82
3,9
3,88
4,01
4,13
4,29
4,35
4,34
4,1
4,04
4,11
4,01
4,13
3,64
3,58
3,82
4,02
4,22
4,64
4,41
4,32
3,71
2,68
Dataseries Z:
Download CSV
Histogram 
1,1692
1,1702
1,2286
1,2613
1,2646
1,2262
1,1985
1,2007
1,2138
1,2266
1,2176
1,2218
1,249
1,2991
1,3408
1,3119
1,3014
1,3201
1,2938
1,2694
1,2165
1,2037
1,2292
1,2256
1,2015
1,1786
1,1856
1,2103
1,1938
1,202
1,2271
1,277
1,265
1,2684
1,2811
1,2727
1,2611
1,2881
1,3213
1,2999
1,3074
1,3242
1,3516
1,3511
1,3419
1,3716
1,3622
1,3896
1,4227
1,4684
1,457
1,4718
1,4748
1,5527
1,575
1,5557
1,5553
1,577
1,4975
1,4369
1,3322

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' @ 72.249.127.135

\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' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=23070&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=23070&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=23070&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' @ 72.249.127.135






Pearson Product Moment Partial Correlation - Ungrouped Data
StatisticValue
Correlation r(xy)0.863418097175872
Partial Correlation r(xy.z)0.70027388557952
Correlation r(xz)0.74954000783302
Partial Correlation r(xz.y)0.35012952476092
Correlation r(yz)0.727813114568752
Partial Correlation r(yz.x)0.241492576894672

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Partial Correlation - Ungrouped Data \tabularnewline
Statistic & Value \tabularnewline
Correlation r(xy) & 0.863418097175872 \tabularnewline
Partial Correlation r(xy.z) & 0.70027388557952 \tabularnewline
Correlation r(xz) & 0.74954000783302 \tabularnewline
Partial Correlation r(xz.y) & 0.35012952476092 \tabularnewline
Correlation r(yz) & 0.727813114568752 \tabularnewline
Partial Correlation r(yz.x) & 0.241492576894672 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=23070&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]0.863418097175872[/C][/ROW]
[ROW][C]Partial Correlation r(xy.z)[/C][C]0.70027388557952[/C][/ROW]
[ROW][C]Correlation r(xz)[/C][C]0.74954000783302[/C][/ROW]
[ROW][C]Partial Correlation r(xz.y)[/C][C]0.35012952476092[/C][/ROW]
[ROW][C]Correlation r(yz)[/C][C]0.727813114568752[/C][/ROW]
[ROW][C]Partial Correlation r(yz.x)[/C][C]0.241492576894672[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=23070&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=23070&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)0.863418097175872
Partial Correlation r(xy.z)0.70027388557952
Correlation r(xz)0.74954000783302
Partial Correlation r(xz.y)0.35012952476092
Correlation r(yz)0.727813114568752
Partial Correlation r(yz.x)0.241492576894672


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')