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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 computationTue, 11 Nov 2008 05:13:25 -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/t1226405706vj6u7f0pz2szvt4.htm/, Retrieved Sun, 19 May 2024 09:25:42 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=23362, Retrieved Sun, 19 May 2024 09:25:42 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact117

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] [Q1 Partial Correl...] [2008-11-11 12:13:25] [21d7d81e7693ad6dde5aadefb1046611] [Current]
Feedback Forum
2008-11-24 13:17:20 [Ellen Smolders] [reply] 
De student gaf geen interpretatie van de resultaten. We kunnen zien dat de correlatie tussen y en z het grootst is (0.504..). We kunnen ook zien dat de partiele correlatie tussen r(yz.x) het grootst is, dit betekent dat we de correlatie berekenen tussen y en z wanneer we de gegevens van x (die invloed zouden kunnen hebben op de gegevens van y en z) weglaten. We kunnen dus besluiten dat z voordien ook geen invloed had aangezien z bij de gewone correlatie ook aanwezig was.
Het grootste voordeel van partiele correlatie is dat we een variabele kunnen uitsluiten die normaal ons resultaat zou beïnvloed hebben, zo zullen we uiteindelijk niet meer bedrogen uitkomen.

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
604,4
883,9
527,9
756,2
812,9
655,6
707,6
612,6
659,2
833,4
727,8
797,2
753
762
613,7
759,2
816,4
736,8
680,1
736,5
637,2
801,9
772,3
897,3
792,1
826,8
666,8
906,6
871,4
891
739,2
833,6
715,6
871,6
751,6
1005,5
681,2
837,3
674,7
806,3
860,2
689,8
691,6
682,6
800,1
1023,7
733,5
875,3
770,2
1005,7
982,3
742,9
974,2
822,3
773,2
750,9
708
690
652,8
620,7
461,9
Dataseries Y:
Download CSV
Histogram 
882,5
789,6
773,3
804,3
817,8
836,7
721,8
760,8
841,4
1045,6
949,2
850,1
957,4
851,8
913,9
888
973,8
927,6
833
879,5
797,3
834,5
735,1
835
892,8
697,2
821,1
732,7
797,6
866,3
826,3
778,6
779,2
951
692,3
841,4
857,3
760,7
841,2
810,3
1007,4
931,3
931,2
855,8
858,4
925,9
930,7
1037,6
979,2
942,6
843,9
854,3
1029,8
944
856,4
1059,4
959,3
941,5
1026,4
921,3
968
Dataseries Z:
Download CSV
Histogram 
1,1663
1,1372
1,1139
1,1222
1,1692
1,1702
1,2286
1,2613
1,2646
1,2262
1,1985
1,2007
1,2138
1,2266
1,2176
1,2218
1,249
1,2991
1,3408
1,3119
1,3014
1,3201
1,2938
1,2694
1,2165
1,2037
1,2292
1,2256
1,2015
1,1786
1,1856
1,2103
1,1938
1,202
1,2271
1,277
1,265
1,2684
1,2811
1,2727
1,2611
1,2881
1,3213
1,2999
1,3074
1,3242
1,3516
1,3511
1,3419
1,3716
1,3622
1,3896
1,4227
1,4684
1,457
1,4718
1,4748
1,5527
1,575
1,5557
1,5553

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'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 & 1 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=23362&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]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=23362&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=23362&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'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Pearson Product Moment Partial Correlation - Ungrouped Data
StatisticValue
Correlation r(xy)0.0539851550557109
Partial Correlation r(xy.z)0.128281003171278
Correlation r(xz)-0.111344553927935
Partial Correlation r(xz.y)-0.160656263776935
Correlation r(yz)0.50402698018632
Partial Correlation r(yz.x)0.513978778895145

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Partial Correlation - Ungrouped Data \tabularnewline
Statistic & Value \tabularnewline
Correlation r(xy) & 0.0539851550557109 \tabularnewline
Partial Correlation r(xy.z) & 0.128281003171278 \tabularnewline
Correlation r(xz) & -0.111344553927935 \tabularnewline
Partial Correlation r(xz.y) & -0.160656263776935 \tabularnewline
Correlation r(yz) & 0.50402698018632 \tabularnewline
Partial Correlation r(yz.x) & 0.513978778895145 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=23362&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]0.0539851550557109[/C][/ROW]
[ROW][C]Partial Correlation r(xy.z)[/C][C]0.128281003171278[/C][/ROW]
[ROW][C]Correlation r(xz)[/C][C]-0.111344553927935[/C][/ROW]
[ROW][C]Partial Correlation r(xz.y)[/C][C]-0.160656263776935[/C][/ROW]
[ROW][C]Correlation r(yz)[/C][C]0.50402698018632[/C][/ROW]
[ROW][C]Partial Correlation r(yz.x)[/C][C]0.513978778895145[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=23362&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=23362&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)0.0539851550557109
Partial Correlation r(xy.z)0.128281003171278
Correlation r(xz)-0.111344553927935
Partial Correlation r(xz.y)-0.160656263776935
Correlation r(yz)0.50402698018632
Partial Correlation r(yz.x)0.513978778895145


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')