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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 computationWed, 12 Nov 2008 10:53:41 -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/t1226513581xqohueuw0qve37a.htm/, Retrieved Fri, 13 Feb 2026 04:19:27 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=24343, Retrieved Fri, 13 Feb 2026 04:19:27 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordskleuter
Estimated Impact480

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Partial Correlation] [] [2008-11-12 17:53:41] [b5c0979bf79a38ace87e0d3abace1ca1] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
7,5
7,6
7,9
7,9
8,1
8,2
8
7,5
6,8
6,5
6,6
7,6
8
8
7,7
7,5
7,6
7,7
7,9
7,8
7,5
7,5
7,1
7,5
7,5
7,6
7,7
7,7
7,9
8,1
8,2
8,2
8,1
7,9
7,3
6,9
6,6
6,7
6,9
7
7,1
7,2
7,1
6,9
7
6,8
6,4
6,7
6,7
6,4
6,3
6,2
6,5
6,8
6,8
6,5
6,3
5,9
5,9
6,4
6,4
Dataseries Y:
Download CSV
Histogram 
9,4
9,5
9,1
9
9,3
9,9
9,8
9,4
8,3
8
8,5
10,4
11,1
10,9
9,9
9,2
9,2
9,5
9,6
9,5
9,1
8,9
9
10,1
10,3
10,2
9,6
9,2
9,3
9,4
9,4
9,2
9
9
9
9,8
10
9,9
9,3
9
9
9,1
9,1
9,1
9,2
8,8
8,3
8,4
8,1
7,8
7,9
7,9
8
7,9
7,5
7,2
6,9
6,6
6,7
7,3
7,5
Dataseries Z:
Download CSV
Histogram 
63,3
102,9
107,6
93
84,1
89,7
90,1
103,4
95,6
90,4
104,1
82,8
69
105,1
104,3
95,4
93
89,3
85,2
96,4
93,1
83,3
98,4
76,9
66,3
98,6
92,3
96,1
84,4
85,8
94,6
101,5
86
91,1
101,8
79,4
67,3
98,1
104,7
102,9
82,8
94,5
93,1
103,6
89,9
92,5
103,5
86,9
69,5
97,1
109,8
96,6
75,8
127,5
93,4
87,7
94
84
90,1
81,5
58,6

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=24343&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=24343&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=24343&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)0.749333843485041
Partial Correlation r(xy.z)0.752234478134463
Correlation r(xz)0.00965532521639446
Partial Correlation r(xz.y)0.100125193730766
Correlation r(yz)-0.0753447319264142
Partial Correlation r(yz.x)-0.124712457995448

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Partial Correlation - Ungrouped Data \tabularnewline
Statistic & Value \tabularnewline
Correlation r(xy) & 0.749333843485041 \tabularnewline
Partial Correlation r(xy.z) & 0.752234478134463 \tabularnewline
Correlation r(xz) & 0.00965532521639446 \tabularnewline
Partial Correlation r(xz.y) & 0.100125193730766 \tabularnewline
Correlation r(yz) & -0.0753447319264142 \tabularnewline
Partial Correlation r(yz.x) & -0.124712457995448 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=24343&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]0.749333843485041[/C][/ROW]
[ROW][C]Partial Correlation r(xy.z)[/C][C]0.752234478134463[/C][/ROW]
[ROW][C]Correlation r(xz)[/C][C]0.00965532521639446[/C][/ROW]
[ROW][C]Partial Correlation r(xz.y)[/C][C]0.100125193730766[/C][/ROW]
[ROW][C]Correlation r(yz)[/C][C]-0.0753447319264142[/C][/ROW]
[ROW][C]Partial Correlation r(yz.x)[/C][C]-0.124712457995448[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=24343&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=24343&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)0.749333843485041
Partial Correlation r(xy.z)0.752234478134463
Correlation r(xz)0.00965532521639446
Partial Correlation r(xz.y)0.100125193730766
Correlation r(yz)-0.0753447319264142
Partial Correlation r(yz.x)-0.124712457995448


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')