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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 computationTue, 11 Nov 2008 03:49:03 -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/t1226400801dztnxbmvz8jscr9.htm/, Retrieved Sun, 19 May 2024 11:10:15 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=23299, Retrieved Sun, 19 May 2024 11:10:15 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact144

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 Correlation ] [2008-11-11 10:49:03] [54e3d3004a715f41ac868f539d95466f] [Current]
F RMPD    [Hierarchical Clustering] [Hierarchial Clust...] [2008-11-11 11:46:15] [252acdb58d8522ab27f61fa1e87b5efe]
F RM D    [Box-Cox Linearity Plot] [Box-Cox transform...] [2008-11-11 11:57:54] [252acdb58d8522ab27f61fa1e87b5efe]
F RM D    [Box-Cox Linearity Plot] [Box-Cox 2] [2008-11-11 12:11:02] [252acdb58d8522ab27f61fa1e87b5efe]
F RMPD    [Testing Mean with known Variance - p-value] [Testing Mean with...] [2008-11-11 13:15:04] [252acdb58d8522ab27f61fa1e87b5efe]
F RMPD    [Testing Mean with known Variance - Critical Value] [Q1] [2008-11-11 13:26:38] [252acdb58d8522ab27f61fa1e87b5efe]
F RMPD    [Testing Mean with known Variance - Type II Error] [Q3] [2008-11-11 13:34:46] [252acdb58d8522ab27f61fa1e87b5efe]
F RMPD    [Testing Mean with known Variance - Sample Size] [Q4] [2008-11-11 13:39:17] [252acdb58d8522ab27f61fa1e87b5efe]
F RMPD    [Testing Population Mean with known Variance - Confidence Interval] [Q5] [2008-11-11 13:43:25] [252acdb58d8522ab27f61fa1e87b5efe]
F RMPD    [Testing Sample Mean with known Variance - Confidence Interval] [Q6] [2008-11-11 13:48:13] [252acdb58d8522ab27f61fa1e87b5efe]
Feedback Forum
2008-11-19 12:50:44 [Bob Leysen] [reply] 
Het antwoord is juist. De techniek werd op een correcte manier gebruikt.

We merken op dat de correlatie tussen x en y het grootst is. Dit is niet verwonderlijk omdat het aantal bouwvergunningen in Vlaanderen veel hoger is dan in Wallonië.

Het is opmerkelijk dat er een negatieve partial correlation bestaat tussen y en z. Dit komt door de correctie van de derde variabele x.

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
3353
3480
3098
2944
3389
3497
4404
3849
3734
3060
3507
3287
3215
3764
2734
2837
2766
3851
3289
3848
3348
3682
4058
3655
3811
3341
3032
3475
3353
3186
3902
4164
3499
4145
3796
3711
3949
3740
3243
4407
4814
3908
5250
3937
4004
5560
3922
3759
4138
4634
3996
4308
4142
4429
5219
4929
5754
5592
4163
4962
5208
4755
4491
5732
5730
5024
6056
4901
5353
5578
4618
4724
5011
5298
4143
4617
4727
4207
5112
4190
4098
5071
4177
4598
3757
5591
4218
3780
4336
4870
4422
4727
4459
Dataseries Y:
Download CSV
Histogram 
2341
2540
2371
2122
2301
2512
3145
2741
2548
1987
2281
2016
2434
2637
1831
1851
1839
2609
2417
2394
2372
2717
2998
2538
3007
2475
2175
2465
2279
2323
2746
2601
2486
2718
2646
2551
2712
2606
2365
3533
3509
2912
3599
2719
2869
4085
2686
2545
3071
3388
2652
3190
2884
3295
3818
3226
3953
3810
2877
3515
3708
3450
3360
4110
4384
3729
4263
3505
3674
3911
2951
3317
3417
3498
2768
2899
3171
3004
3481
3016
2595
3509
2833
3125
2556
3628
2876
2575
2903
3438
2926
3068
3015
Dataseries Z:
Download CSV
Histogram 
820
829
677
720
846
842
1137
961
1008
872
1094
905
622
1068
760
809
838
1008
838
1057
904
803
810
992
667
803
611
712
785
599
1008
1136
931
1051
956
1006
1077
772
679
787
1011
701
1269
1007
1013
1209
1036
1084
926
1083
912
910
886
948
1134
1226
1515
1491
1086
1274
1164
1205
966
1462
1134
1141
1676
1166
1492
1413
1287
1206
1054
1236
1069
1264
1318
1093
1495
1121
1342
1335
1261
1317
867
1428
1199
961
1195
1225
1282
1629
1187

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 2 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=23299&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=23299&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=23299&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 time2 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Pearson Product Moment Partial Correlation - Ungrouped Data
StatisticValue
Correlation r(xy)0.963581341676323
Partial Correlation r(xy.z)0.966296869437311
Correlation r(xz)0.822593657287654
Partial Correlation r(xz.y)0.83687279008156
Correlation r(yz)0.684333432346844
Partial Correlation r(yz.x)-0.712233560274068

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Partial Correlation - Ungrouped Data \tabularnewline
Statistic & Value \tabularnewline
Correlation r(xy) & 0.963581341676323 \tabularnewline
Partial Correlation r(xy.z) & 0.966296869437311 \tabularnewline
Correlation r(xz) & 0.822593657287654 \tabularnewline
Partial Correlation r(xz.y) & 0.83687279008156 \tabularnewline
Correlation r(yz) & 0.684333432346844 \tabularnewline
Partial Correlation r(yz.x) & -0.712233560274068 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=23299&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]0.963581341676323[/C][/ROW]
[ROW][C]Partial Correlation r(xy.z)[/C][C]0.966296869437311[/C][/ROW]
[ROW][C]Correlation r(xz)[/C][C]0.822593657287654[/C][/ROW]
[ROW][C]Partial Correlation r(xz.y)[/C][C]0.83687279008156[/C][/ROW]
[ROW][C]Correlation r(yz)[/C][C]0.684333432346844[/C][/ROW]
[ROW][C]Partial Correlation r(yz.x)[/C][C]-0.712233560274068[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=23299&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=23299&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)0.963581341676323
Partial Correlation r(xy.z)0.966296869437311
Correlation r(xz)0.822593657287654
Partial Correlation r(xz.y)0.83687279008156
Correlation r(yz)0.684333432346844
Partial Correlation r(yz.x)-0.712233560274068


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')