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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 16:22:06 -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/12/t1226445803nivugf1buyg2h83.htm/, Retrieved Sun, 19 May 2024 10:43:48 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=24008, Retrieved Sun, 19 May 2024 10:43:48 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact250

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Partial Correlation] [Partial Correlation] [2008-11-11 14:01:04] [adb6b6905cde49db36d59ca44433140d]
F    D    [Partial Correlation] [partial correlati...] [2008-11-11 23:22:06] [d592f629d96b926609f311957d74fcca] [Current]
Feedback Forum
2008-11-19 19:18:50 [Evelien Blockx] [reply] 
Hier zie je inderdaad de correlaties tussen de tijdreeksen die je ingevoerd hebt: r (xy), r (xz), r (yz).

Verder zie je ook de partiële correlaties tussen 2 variabelen, waarbij de invloed van een 3de variabele uitgezuiverd wordt. Hier ontbreekt de uitgebreide interpretatie.

Bijvoorbeeld
r (xy.z) (correlatie tussen x en y waarbij de invloed van z uitgezuiverd wordt)

Hier is dit dus de correlatie tussen de Bel 20 en de Dow Jones Industrial, waarbij de invloed van de reeks “London Brent Oil” uitgezuiverd wordt. De partiële correlatie r (xy.z) ligt wat lager dan de correlatie r (xy). De z-variabele heeft ervoor gezorgd dat het verband tussen x en y iets groter werd.

Ook de andere partiële correlaties kunnen nog geïnterpreteerd worden. Zo valt bijvoorbeeld op dat de partiële correlatie r(xz.y) opeens negatief is. De y-variabele heeft ervoor gezorgd dat het verband tussen x en z positief werd. Verder is ook de partiële correlatie r (yz.x) heel wat lager dan de correlatie r(yz). De x-variabele heeft ervoor gezorgd dat het verband tussen y en z groter werd.

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2120.88
2174.56
2196.72
2350.44
2440.25
2408.64
2472.81
2407.60
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
3970.10
4138.52
4199.75
4290.89
4443.91
4502.64
4356.98
4591.27
4696.96
4621.40
4562.84
4202.52
4296.49
4435.23
4105.18
4116.68
3844.49
3720.98
3674.40
3857.62
3801.06
3504.37
3032.60
3047.03
2962.34
Dataseries Y:
Download CSV
Histogram 
9682.35
9762.12
10124.63
10540.05
10601.61
10323.73
10418.40
10092.96
10364.91
10152.09
10032.80
10204.59
10001.60
10411.75
10673.38
10539.51
10723.78
10682.06
10283.19
10377.18
10486.64
10545.38
10554.27
10532.54
10324.31
10695.25
10827.81
10872.48
10971.19
11145.65
11234.68
11333.88
10997.97
11036.89
11257.35
11533.59
11963.12
12185.15
12377.62
12512.89
12631.48
12268.53
12754.80
13407.75
13480.21
13673.28
13239.71
13557.69
13901.28
13200.58
13406.97
12538.12
12419.57
12193.88
12656.63
12812.48
12056.67
11322.38
11530.75
11114.08
Dataseries Z:
Download CSV
Histogram 
29.08
28.76
29.59
30.70
30.52
32.67
33.19
37.13
35.54
37.75
41.84
42.94
49.14
44.61
40.22
44.23
45.85
53.38
53.26
51.80
55.30
57.81
63.96
63.77
59.15
56.12
57.42
63.52
61.71
63.01
68.18
72.03
69.75
74.41
74.33
64.24
60.03
59.44
62.50
55.04
58.34
61.92
67.65
67.68
70.30
75.26
71.44
76.36
81.71
92.60
90.60
92.23
94.09
102.79
109.65
124.05
132.69
135.81
116.07
101.42

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'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=24008&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=24008&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=24008&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Pearson Product Moment Partial Correlation - Ungrouped Data
StatisticValue
Correlation r(xy)0.868901584136508
Partial Correlation r(xy.z)0.82413305516429
Correlation r(xz)0.489735996948137
Partial Correlation r(xz.y)-0.0684378382526755
Correlation r(yz)0.594962327381569
Partial Correlation r(yz.x)0.392596213839337

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Partial Correlation - Ungrouped Data \tabularnewline
Statistic & Value \tabularnewline
Correlation r(xy) & 0.868901584136508 \tabularnewline
Partial Correlation r(xy.z) & 0.82413305516429 \tabularnewline
Correlation r(xz) & 0.489735996948137 \tabularnewline
Partial Correlation r(xz.y) & -0.0684378382526755 \tabularnewline
Correlation r(yz) & 0.594962327381569 \tabularnewline
Partial Correlation r(yz.x) & 0.392596213839337 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=24008&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]0.868901584136508[/C][/ROW]
[ROW][C]Partial Correlation r(xy.z)[/C][C]0.82413305516429[/C][/ROW]
[ROW][C]Correlation r(xz)[/C][C]0.489735996948137[/C][/ROW]
[ROW][C]Partial Correlation r(xz.y)[/C][C]-0.0684378382526755[/C][/ROW]
[ROW][C]Correlation r(yz)[/C][C]0.594962327381569[/C][/ROW]
[ROW][C]Partial Correlation r(yz.x)[/C][C]0.392596213839337[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=24008&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=24008&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)0.868901584136508
Partial Correlation r(xy.z)0.82413305516429
Correlation r(xz)0.489735996948137
Partial Correlation r(xz.y)-0.0684378382526755
Correlation r(yz)0.594962327381569
Partial Correlation r(yz.x)0.392596213839337


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')