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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 07:17:22 -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/t1226413075opdvapchuoycvms.htm/, Retrieved Sun, 19 May 2024 08:54:34 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=23503, Retrieved Sun, 19 May 2024 08:54:34 +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     [Notched Boxplots] [workshop 3] [2007-10-26 13:31:48] [e9ffc5de6f8a7be62f22b142b5b6b1a8]
F RMPD  [Mean Plot] [workshop 4 deel 1...] [2008-10-31 09:40:26] [077ffec662d24c06be4c491541a44245]
F         [Mean Plot] [] [2008-11-01 13:19:15] [4c8dfb519edec2da3492d7e6be9a5685]
F    D      [Mean Plot] [] [2008-11-01 14:24:03] [4c8dfb519edec2da3492d7e6be9a5685]
F RMPD        [Star Plot] [Star Plot - Bob L...] [2008-11-02 16:44:14] [57850c80fd59ccfb28f882be994e814e]
F RM D            [Partial Correlation] [Q1-2] [2008-11-11 14:17:22] [541f63fa3157af9df10fc4d202b2a90b] [Current]
Feedback Forum
2008-11-22 11:11:15 [Kenny Simons] [reply] 
Met deze techniek ga je op zoek naar de partiële correlatie tussen 3 variabelen. Je moet uitzoeken of de derde variabele (Z), de relatie van de eerste 2 variabelen (X, Y) al dan niet beïnvloedt.

Als de relatie tussen X,Y relatief groot is, en de partiële relatie tussen X,Y en Z is veel kleiner, dan kan je veronderstellen dat Z de relatie tussen de Xen Y beïvnloedt. Z kan dus voor een gedeelte de relatie uitleggen tussen X & Y. Het zal de relatie uitleggen maar we zullen niet te weten komen wat de relatie veroorzaakt. Als de partiële correlatie dicht bij de gewone correlatie ligt, kan je stellen dat de Z-variabele geen vertekend beeld geeft tussen de relatie X en Y.

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
93,5
98,8
106,2
98,3
102,1
117,1
101,5
80,5
105,9
109,5
97,2
114,5
93,5
100,9
121,1
116,5
109,3
118,1
108,3
105,4
116,2
111,2
105,8
122,7
99,5
107,9
124,6
115
110,3
132,7
99,7
96,5
118,7
112,9
130,5
137,9
115
116,8
140,9
120,7
134,2
147,3
112,4
107,1
128,4
137,7
135
151
137,4
132,4
161,3
139,8
146
166,5
143,3
121
152,6
154,4
154,6
158
Dataseries Y:
Download CSV
Histogram 
81,6
84,1
88,1
85,3
82,9
84,8
71,2
68,9
94,3
97,6
85,6
91,9
75,8
79,8
99
88,5
86,7
97,9
94,3
72,9
91,8
93,2
86,5
98,9
77,2
79,4
90,4
81,4
85,8
103,6
73,6
75,7
99,2
88,7
94,6
98,7
84,2
87,7
103,3
88,2
93,4
106,3
73,1
78,6
101,6
101,4
98,5
99
89,5
83,5
97,4
87,8
90,4
101,6
80
81,7
96,4
110,2
101,1
89,3
Dataseries Z:
Download CSV
Histogram 
91,2
99,2
108,2
101,5
106,9
104,4
77,9
60
99,5
95
105,6
102,5
93,3
97,3
127
111,7
96,4
133
72,2
95,8
124,1
127,6
110,7
104,6
112,7
115,3
139,4
119
97,4
154
81,5
88,8
127,7
105,1
114,9
106,4
104,5
121,6
141,4
99
126,7
134,1
81,3
88,6
132,7
132,9
134,4
103,7
119,7
115
132,9
108,5
113,9
142
97,7
92,2
128,8
134,9
128,2
114,8

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'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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=23503&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=23503&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=23503&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'Gwilym Jenkins' @ 72.249.127.135






Pearson Product Moment Partial Correlation - Ungrouped Data
StatisticValue
Correlation r(xy)0.684393811231437
Partial Correlation r(xy.z)0.396386510695275
Correlation r(xz)0.650190880589354
Partial Correlation r(xz.y)0.291114891165902
Correlation r(yz)0.742165988275247
Partial Correlation r(yz.x)0.536465050463426

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Partial Correlation - Ungrouped Data \tabularnewline
Statistic & Value \tabularnewline
Correlation r(xy) & 0.684393811231437 \tabularnewline
Partial Correlation r(xy.z) & 0.396386510695275 \tabularnewline
Correlation r(xz) & 0.650190880589354 \tabularnewline
Partial Correlation r(xz.y) & 0.291114891165902 \tabularnewline
Correlation r(yz) & 0.742165988275247 \tabularnewline
Partial Correlation r(yz.x) & 0.536465050463426 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=23503&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]0.684393811231437[/C][/ROW]
[ROW][C]Partial Correlation r(xy.z)[/C][C]0.396386510695275[/C][/ROW]
[ROW][C]Correlation r(xz)[/C][C]0.650190880589354[/C][/ROW]
[ROW][C]Partial Correlation r(xz.y)[/C][C]0.291114891165902[/C][/ROW]
[ROW][C]Correlation r(yz)[/C][C]0.742165988275247[/C][/ROW]
[ROW][C]Partial Correlation r(yz.x)[/C][C]0.536465050463426[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=23503&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=23503&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)0.684393811231437
Partial Correlation r(xy.z)0.396386510695275
Correlation r(xz)0.650190880589354
Partial Correlation r(xz.y)0.291114891165902
Correlation r(yz)0.742165988275247
Partial Correlation r(yz.x)0.536465050463426


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')