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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 computationFri, 20 Nov 2009 05:52:13 -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/20/t1258721794vupm6h5w4j58h8b.htm/, Retrieved Mon, 12 May 2025 09:18:06 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=58100, Retrieved Mon, 12 May 2025 09:18:06 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact258

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] [Partial Correlati...] [2009-11-05 11:49:41] [4395c69e961f9a13a0559fd2f0a72538]
-    D    [Partial Correlation] [Partial Correlati...] [2009-11-11 08:55:18] [4395c69e961f9a13a0559fd2f0a72538]
-    D        [Partial Correlation] [Partial Correlati...] [2009-11-20 12:52:13] [d1081bd6cdf1fed9ed45c42dbd523bf1] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
100
97,82226485
94,04971502
91,12460521
93,13202153
93,88342812
92,55349954
94,43494835
96,25017563
100,4355715
101,5036685
99,39789728
99,68990733
101,6895041
103,6652759
103,0532766
100,9500712
102,345366
101,6472299
99,56809393
95,67727392
96,58494865
96,32604937
95,37109101
96,00056203
96,88367859
94,85280372
92,46943974
93,99180173
93,45262168
92,26698759
90,39653498
90,43001228
91,04995327
89,07845784
89,69314509
87,92459054
85,8789319
83,20612366
83,85722053
83,01393462
82,84508195
78,68864276
77,56959675
78,53689529
78,55717715
77,4761291
81,58931659
85,02428326
91,71290159
95,96293061
90,84689022
92,28788036
95,56511274
93,62452884
92,63071726
89,50914211
87,17171779
86,72624975
85,63212844
Dataseries Y:
Download CSV
Histogram 
100
96,21064363
96,31280765
107,1793443
114,9066592
92,56060184
114,9995356
107,1236185
117,7765394
107,3650971
106,2970187
114,5072908
98,0031578
103,0649206
100,2879168
104,6066685
111,1544534
104,9874617
109,9284852
111,5352466
132,4974459
100,3436426
123,0983561
114,2379493
104,569518
109,0833101
106,9843039
133,6769759
124,8537197
122,5132349
116,8013374
116,0118882
129,7575926
125,1973623
143,7912139
127,9465032
130,2962757
108,4424631
129,3675118
143,6797622
131,8844618
117,6186496
118,9560695
104,8202842
134,624315
140,401226
143,8005015
153,4317823
153,2924677
127,3149438
153,5525216
136,9276493
131,7730101
144,3391845
107,4208229
113,6249652
124,2221603
102,0618557
96,36853348
111,6838488
Dataseries Z:
Download CSV
Histogram 
100
79,53631927
77,14613839
94,99712891
98,11943727
85,46511628
82,48636233
92,01119724
100,97617
99,94257824
120,1909274
109,804766
84,76169968
92,07579673
109,4028137
109,4315245
109,1085271
135,0775194
98,70801034
95,93023256
118,712317
100,796727
124,2750502
95,5211025
116,0134941
107,931381
105,9933965
112,3743899
113,5371806
101,0407695
100,0358886
119,3224232
138,4582257
97,10020098
96,16709733
89,80763709
107,0700546
110,5871375
99,31811657
131,1728395
114,219064
92,53517083
92,736147
98,21274763
91,06373816
104,3927649
89,89376974
93,69796153
91,50875682
78,22279644
114,9511915
101,8446741
86,76428366
82,23514212
81,04364054
77,06000574
87,80505312
81,50301464
78,32328452
80,12489233

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 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 & 0 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=58100&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]0 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=58100&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=58100&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 time0 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Pearson Product Moment Partial Correlation - Ungrouped Data
StatisticValue
Correlation r(xy)-0.488221079733609
Partial Correlation r(xy.z)-0.537760632775636
Correlation r(xz)0.183259658671785
Partial Correlation r(xz.y)0.313171062117054
Correlation r(yz)0.175735113695049
Partial Correlation r(yz.x)0.309119889918906

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Partial Correlation - Ungrouped Data \tabularnewline
Statistic & Value \tabularnewline
Correlation r(xy) & -0.488221079733609 \tabularnewline
Partial Correlation r(xy.z) & -0.537760632775636 \tabularnewline
Correlation r(xz) & 0.183259658671785 \tabularnewline
Partial Correlation r(xz.y) & 0.313171062117054 \tabularnewline
Correlation r(yz) & 0.175735113695049 \tabularnewline
Partial Correlation r(yz.x) & 0.309119889918906 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=58100&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]-0.488221079733609[/C][/ROW]
[ROW][C]Partial Correlation r(xy.z)[/C][C]-0.537760632775636[/C][/ROW]
[ROW][C]Correlation r(xz)[/C][C]0.183259658671785[/C][/ROW]
[ROW][C]Partial Correlation r(xz.y)[/C][C]0.313171062117054[/C][/ROW]
[ROW][C]Correlation r(yz)[/C][C]0.175735113695049[/C][/ROW]
[ROW][C]Partial Correlation r(yz.x)[/C][C]0.309119889918906[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=58100&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=58100&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)-0.488221079733609
Partial Correlation r(xy.z)-0.537760632775636
Correlation r(xz)0.183259658671785
Partial Correlation r(xz.y)0.313171062117054
Correlation r(yz)0.175735113695049
Partial Correlation r(yz.x)0.309119889918906


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')