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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_partialcorrelation.wasp
Title produced by softwarePartial Correlation
Date of computationMon, 05 Nov 2007 03:11:34 -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/2007/Nov/05/uwl3ezk4rmvkvlq1194257450.htm/, Retrieved Sun, 28 Apr 2024 21:16:52 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=530, Retrieved Sun, 28 Apr 2024 21:16:52 +0000
QR Codes:

Original text written by user:X=Prijsindexcijfers van de grondstoffen , Algemeen indexcijfer, Inclusief energie y=Prijsindexcijfers van de grondstoffen , Algemeen indexcijfer, Exclusief energie - z=Prijsindexcijfers van de grondstoffen , Energiegrondstoffen, Totaal -
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact293

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...] [2007-11-05 10:11:34] [1a2581828a3030ed7733053b32a6f065] [Current]
-    D    [Partial Correlation] [partial correlati...] [2008-11-06 16:15:49] [139ab77a283673d78791815259c298e6]
Feedback Forum
2008-11-14 13:05:02 [Dana Molenberghs] [reply] 
heel opmerkelijk is het volgende:

correlation r(yz) 0.895051835310673
Partial Correlation r(yz.x) -0.99996678435353

Misschien kan je eens uitzoeken waar de invloed van variabele x vandaan komt. Omdat deze van de sterke positieve correlatie een bijna perfect negatieve correlatie maakt.
2008-11-24 21:50:20 [Niels Herremans] [reply] 
Bij de partial correlation worden 3 variabelen gebruikt. Naast de partial correlation wordt ook de gewone correlatie gemeten. We zien dat de gewone correlatie elke keer postief en zeer hoog is. Bij de partial correlation r(yz.x) is dit echter niet. Bij de partial correlation wordt er 1 variabele 'uitgeschakeld'.

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
96,8
91,2
97,1
104,9
110,9
104,8
94,1
95,8
99,3
101,1
104,0
99,0
105,4
107,1
110,7
117,1
118,7
126,5
127,5
134,6
131,8
135,9
142,7
141,7
153,4
145,0
137,7
148,3
152,2
169,4
168,6
161,1
174,1
179,0
190,6
190,0
181,6
174,8
180,5
196,8
193,8
197,0
216,3
221,4
217,9
229,7
227,4
204,2
196,6
198,8
207,5
190,7
201,6
210,5
223,5
223,8
231,2
244,0
234,7
250,2
Dataseries Y:
Download CSV
Histogram 
96,9
98,0
97,9
100,9
103,9
103,1
102,5
104,3
102,6
101,7
102,8
105,4
110,9
113,5
116,3
124,0
128,8
133,5
132,6
128,4
127,3
126,7
123,3
123,2
124,4
128,2
128,7
135,7
139,0
145,4
142,4
137,7
137,0
137,1
139,3
139,6
140,4
142,3
148,3
157,7
161,6
161,7
171,8
185,1
176,7
184,4
183,0
180,9
187,0
189,9
193,8
194,5
198,7
204,7
213,2
214,7
211,0
213,2
206,3
210,8
Dataseries Z:
Download CSV
Histogram 
96,7
88,0
96,7
106,8
114,3
105,7
90,1
91,6
97,7
100,8
104,6
95,9
102,7
104,0
107,9
113,8
113,8
123,1
125,1
137,6
134,0
140,3
152,1
150,6
167,3
153,2
142,0
154,4
158,5
180,9
181,3
172,4
192,0
199,3
215,4
214,3
201,5
190,5
196,0
215,7
209,4
214,1
237,8
239,0
237,8
251,5
248,8
215,4
201,2
203,1
214,2
188,9
203,0
213,3
228,5
228,2
240,9
258,8
248,5
269,2

Tables (Output of Computation)





Summary of compuational 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 compuational 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=530&T=0

[TABLE]
[ROW][C]Summary of compuational 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=530&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=530&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 compuational 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)0.939310769248664
Partial Correlation r(xy.z)0.999980343650517
Correlation r(xz)0.993726597812152
Partial Correlation r(xz.y)0.999997911142844
Correlation r(yz)0.895051835310673
Partial Correlation r(yz.x)-0.99996678435353

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Partial Correlation - Ungrouped Data \tabularnewline
Statistic & Value \tabularnewline
Correlation r(xy) & 0.939310769248664 \tabularnewline
Partial Correlation r(xy.z) & 0.999980343650517 \tabularnewline
Correlation r(xz) & 0.993726597812152 \tabularnewline
Partial Correlation r(xz.y) & 0.999997911142844 \tabularnewline
Correlation r(yz) & 0.895051835310673 \tabularnewline
Partial Correlation r(yz.x) & -0.99996678435353 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=530&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]0.939310769248664[/C][/ROW]
[ROW][C]Partial Correlation r(xy.z)[/C][C]0.999980343650517[/C][/ROW]
[ROW][C]Correlation r(xz)[/C][C]0.993726597812152[/C][/ROW]
[ROW][C]Partial Correlation r(xz.y)[/C][C]0.999997911142844[/C][/ROW]
[ROW][C]Correlation r(yz)[/C][C]0.895051835310673[/C][/ROW]
[ROW][C]Partial Correlation r(yz.x)[/C][C]-0.99996678435353[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=530&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=530&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)0.939310769248664
Partial Correlation r(xy.z)0.999980343650517
Correlation r(xz)0.993726597812152
Partial Correlation r(xz.y)0.999997911142844
Correlation r(yz)0.895051835310673
Partial Correlation r(yz.x)-0.99996678435353


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')