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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, 09 Nov 2009 02:44:53 -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/2009/Nov/09/t125775994209x2a02h9d8t1a3.htm/, Retrieved Mon, 12 May 2025 10:14:18 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=54690, Retrieved Mon, 12 May 2025 10:14:18 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact278

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Partial Correlation] [3/11/2009] [2009-11-02 21:44:54] [b98453cac15ba1066b407e146608df68]
-    D    [Partial Correlation] [part corr wtb icp...] [2009-11-09 09:44:53] [4f297b039e1043ebee7ff7a83b1eaaaa] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
124.06
124.58
122.00
124.02
124.16
124.29
123.93
124.62
121.81
124.14
124.31
125.15
125.35
125.48
124.17
125.33
124.46
123.39
123.14
122.24
119.31
120.87
120.43
119.41
118.85
119.08
117.25
118.51
118.42
118.56
117.97
117.98
115.25
117.23
117.08
116.83
117.17
117.73
115.74
116.99
116.90
116.49
115.84
115.92
113.32
114.84
114.75
114.84
115.03
115.03
112.99
114.15
113.77
113.57
113.38
112.71
110.27
111.73
112.12
112.31
111.73
111.83
109.99
111.15
111.25
110.87
110.27
110.18
108.15
109.60
109.60
109.41
109.80
109.60
107.76
109.02
108.62
109.02
109.22
108.92
106.69
107.76
107.66
107.85
107.95
107.85
106.30
107.37
107.66
107.46
107.37
107.18
105.43
106.39
106.50
106.50
106.69
106.50
105.14
106.50
106.20
105.72
104.76
104.55
102.71
104.36
104.65
104.46
104.65
103.88
102.32
103.39
103.00
102.71
102.51
102.04
100.00
Dataseries Y:
Download CSV
Histogram 
91.14
88.61
87.34
88.61
87.34
87.34
86.08
88.61
86.08
86.08
84.81
81.01
78.48
77.22
78.48
82.28
83.55
82.28
78.48
78.48
83.55
89.88
92.41
93.67
93.67
93.67
93.67
92.41
92.41
93.67
96.20
96.20
96.20
96.20
98.74
100.00
102.53
103.80
103.80
102.53
102.53
102.53
102.53
102.53
103.80
105.07
106.33
107.60
108.86
107.60
105.07
98.74
98.74
101.27
108.86
112.66
112.66
108.86
105.07
105.07
105.07
106.33
107.60
106.33
108.86
107.60
107.60
106.33
107.60
107.60
107.60
107.60
107.60
107.60
107.60
107.60
108.86
106.33
102.53
101.27
101.27
101.27
101.27
100.00
98.74
98.74
100.00
102.53
101.27
96.20
92.41
88.61
86.08
88.61
89.88
91.14
89.88
87.34
84.81
84.81
83.55
87.34
92.41
94.94
92.41
89.88
87.34
89.88
94.94
97.47
98.74
98.74
97.47
98.74
98.74
100.00
100.00
Dataseries Z:
Download CSV
Histogram 
241.66
251.25
230.26
240.91
211.20
188.19
177.01
167.85
174.03
170.09
203.42
254.97
342.84
386.29
440.51
433.58
408.13
370.32
355.51
332.62
314.62
301.73
306.31
282.98
266.48
249.97
259.87
246.24
238.36
238.04
224.19
214.71
203.11
221.00
211.73
209.39
217.48
242.19
244.64
232.07
235.80
230.37
209.82
206.41
209.60
192.24
186.17
193.41
202.36
203.00
190.64
185.43
171.58
179.57
180.42
162.10
157.95
146.66
154.43
163.38
150.92
151.98
144.74
140.37
143.36
135.79
134.73
126.42
124.72
117.90
114.07
112.26
105.44
110.77
107.68
105.76
102.03
100.22
111.62
118.11
111.72
103.42
97.13
103.10
104.91
100.22
98.52
95.32
96.92
96.60
92.55
82.75
80.84
79.13
79.77
85.10
96.39
97.56
96.39
101.18
103.52
100.11
99.26
104.48
101.29
100.33
115.24
113.64
115.35
108.42
105.65
108.64
104.80
95.43
104.48
103.84
100.01

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'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=54690&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=54690&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=54690&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'RServer@AstonUniversity' @ vre.aston.ac.uk






Pearson Product Moment Partial Correlation - Ungrouped Data
StatisticValue
Correlation r(xy)-0.395985621157479
Partial Correlation r(xy.z)-0.0676248148007637
Correlation r(xz)0.85219414811305
Partial Correlation r(xz.y)0.822684012068323
Correlation r(yz)-0.427123937336315
Partial Correlation r(yz.x)-0.186629783929504

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Partial Correlation - Ungrouped Data \tabularnewline
Statistic & Value \tabularnewline
Correlation r(xy) & -0.395985621157479 \tabularnewline
Partial Correlation r(xy.z) & -0.0676248148007637 \tabularnewline
Correlation r(xz) & 0.85219414811305 \tabularnewline
Partial Correlation r(xz.y) & 0.822684012068323 \tabularnewline
Correlation r(yz) & -0.427123937336315 \tabularnewline
Partial Correlation r(yz.x) & -0.186629783929504 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=54690&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]-0.395985621157479[/C][/ROW]
[ROW][C]Partial Correlation r(xy.z)[/C][C]-0.0676248148007637[/C][/ROW]
[ROW][C]Correlation r(xz)[/C][C]0.85219414811305[/C][/ROW]
[ROW][C]Partial Correlation r(xz.y)[/C][C]0.822684012068323[/C][/ROW]
[ROW][C]Correlation r(yz)[/C][C]-0.427123937336315[/C][/ROW]
[ROW][C]Partial Correlation r(yz.x)[/C][C]-0.186629783929504[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=54690&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=54690&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)-0.395985621157479
Partial Correlation r(xy.z)-0.0676248148007637
Correlation r(xz)0.85219414811305
Partial Correlation r(xz.y)0.822684012068323
Correlation r(yz)-0.427123937336315
Partial Correlation r(yz.x)-0.186629783929504


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')