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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 06:27:15 -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/t1226410158zdxgxzzu2wmxh9c.htm/, Retrieved Sun, 19 May 2024 11:33:08 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=23453, Retrieved Sun, 19 May 2024 11:33:08 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact136

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Univariate Data Series] [Buitenlandse handel] [2008-10-13 10:26:18] [1ce0d16c8f4225c977b42c8fa93bc163]
F   PD  [Univariate Data Series] [Totale werklooshe...] [2008-10-13 21:14:31] [05e9a6d53ace945e674f09e419f751d6]
-   PD    [Univariate Data Series] [Totale werklooshe...] [2008-10-20 19:38:23] [a7f04e0e73ce3683561193958d653479]
F RMPD        [Partial Correlation] [Various EDA topic...] [2008-11-11 13:27:15] [f1a30f1149cef3ef3ef69d586c6c3c1c] [Current]
F    D          [Partial Correlation] [Various EDA Topic...] [2008-11-11 13:34:09] [a7f04e0e73ce3683561193958d653479]
Feedback Forum
2008-11-20 09:26:24 [An De Koninck] [reply] 
Voor deze vraag heeft de student geen conclusie getrokken, dus zal ik een uitleg aan de tabel proberen te geven.
Partial corelation (xy, z): Hier wordt de onderlinge correlatie tussen x en y mee bedoeld, maar rekening houdend met de variabele z.
De gewone correlatie tussen x en y was 0.222859860733208, en als je rekening houdt met de variabele z is deze correlatie nog maar 0.0982599687435507. Zo zie je dat de variabele z een grote invloed heeft op het resultaat, en misschien wel een vertekend beeld geeft. (de correlatie is immers met 0.15 gedaald doordat rekening wordt gehouden met z). Het is dus beter om geen rekening te houden met z, want deze laat het resultaat te veel afwijken.
Partial correlation (xz, y): Hier wordt de onderlinge correlatie tussen x en z mee bedoeld, maar rekening houdend met de variabele y.
De gewone correlatie tussen x en z was 0.599034738361126 en als je rekening houdt met y wordt dit 0.576062700306495. Als je deze twee resultaten met elkaar vergelijkt zie je dat y niet zo'n grote invloed heeft. Je kan dus gerust het resultaat van de partial correlation geven, want het resultaat geeft geen vertekend beelt.
Partial correlation (yz, x): Hier is het terug het verhaal van de eerste (xy,z). Ook hier wijkt het resulaat van de partial correlation te veel af van de gewone correlatie door rekening te houden met x. Je kan dus best de gewone correlatie nemen om geen vertekend beeld te hebben.

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
500857
506971
569323
579714
577992
565464
547344
554788
562325
560854
555332
543599
536662
542722
593530
610763
612613
611324
594167
595454
590865
589379
584428
573100
567456
569028
620735
628884
628232
612117
595404
597141
593408
590072
579799
574205
572775
572942
619567
625809
619916
587625
565742
557274
560576
548854
531673
525919
511038
498662
555362
564591
541657
527070
509846
514258
516922
507561
492622
490243
469357
Dataseries Y:
Download CSV
Histogram 
3431
3874
2617
3580
5267
3832
3441
3228
3397
3971
4625
4486
4131
4686
3174
4282
4209
4159
3936
3153
3620
4227
4441
4808
4850
5040
3546
4669
5410
5134
4864
3999
4459
4622
5360
4658
5173
4845
3325
4720
4895
5071
4895
3805
4187
4435
4475
4774
5161
4529
3284
4303
4610
4691
4200
3471
3132
4226
3723
3576
3397
Dataseries Z:
Download CSV
Histogram 
10
12
12
13
17
12
15
12
14
19
16
17
16
19
17
17
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19
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23
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20
15
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15
10
13
10
19
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17
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14
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11
15
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17
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9
17
15
12
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4
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3
3
0
5

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=23453&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=23453&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=23453&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)0.222859860733208
Partial Correlation r(xy.z)0.0982599687435507
Correlation r(xz)0.599034738361126
Partial Correlation r(xz.y)0.576062700306495
Correlation r(yz)0.2446809612763
Partial Correlation r(yz.x)0.142431801439191

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Partial Correlation - Ungrouped Data \tabularnewline
Statistic & Value \tabularnewline
Correlation r(xy) & 0.222859860733208 \tabularnewline
Partial Correlation r(xy.z) & 0.0982599687435507 \tabularnewline
Correlation r(xz) & 0.599034738361126 \tabularnewline
Partial Correlation r(xz.y) & 0.576062700306495 \tabularnewline
Correlation r(yz) & 0.2446809612763 \tabularnewline
Partial Correlation r(yz.x) & 0.142431801439191 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=23453&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]0.222859860733208[/C][/ROW]
[ROW][C]Partial Correlation r(xy.z)[/C][C]0.0982599687435507[/C][/ROW]
[ROW][C]Correlation r(xz)[/C][C]0.599034738361126[/C][/ROW]
[ROW][C]Partial Correlation r(xz.y)[/C][C]0.576062700306495[/C][/ROW]
[ROW][C]Correlation r(yz)[/C][C]0.2446809612763[/C][/ROW]
[ROW][C]Partial Correlation r(yz.x)[/C][C]0.142431801439191[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=23453&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=23453&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)0.222859860733208
Partial Correlation r(xy.z)0.0982599687435507
Correlation r(xz)0.599034738361126
Partial Correlation r(xz.y)0.576062700306495
Correlation r(yz)0.2446809612763
Partial Correlation r(yz.x)0.142431801439191


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')