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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 07:58:43 -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/t12264155446zl4lq3l7uj6fma.htm/, Retrieved Sun, 19 May 2024 09:36:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=23558, Retrieved Sun, 19 May 2024 09:36:46 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact131

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 14:58:43] [5d823194959040fa9b19b8c8302177e6] [Current]
Feedback Forum
2008-11-19 13:45:09 [Kristof Van Esbroeck] [reply] 
Student concludeert correct dat er een sterke samenhang, correlatie is tussen de 3 verschillende datareeksen.

De grootste correlatie is 0.929496463725312 en noteren we tussen de reeksen x en y. Het antwoord had meer volledig geweest wanneer de student ook had aangegeven welke reeksen aan welke letter werden gelinkt.

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
3134.5
3510.5
4047.4
3580.8
3567.3
3920.1
3764.8
3139.3
4126.1
3920
3868.3
3414
3423.4
3819
4482.7
4040.4
3720.3
4405
3916.6
3540.5
4486.4
4213.6
4521.7
4102.3
3854.1
4106.5
4870.9
4559.7
4072.1
4687.7
4096.1
4107.2
4888
4256.2
4593.8
3888.2
4232.7
4386.2
5203.6
4456.6
4828.4
5244.6
4407.6
4809.3
5226.8
5290.2
5068.8
4425.2
4971
4806.9
5565.8
4754.9
5220
5684.3
4815.3
5114.4
5273.9
5602.6
5609.7
4168.9
Dataseries Y:
Download CSV
Histogram 
2236
2084.9
2409.5
2199.3
2203.5
2254.1
1975.8
1742.2
2520.6
2438.1
2126.3
2267.5
2201.1
2128.5
2596
2458.2
2210.5
2621.2
2231.4
2103.6
2685.8
2539.3
2462.4
2693.3
2307.7
2385.9
2737.6
2653.9
2545.4
2848.8
2359.5
2488.3
2861.1
2717.9
2844
2749
2652.9
2660.2
3187.1
2774.1
3158.2
3244.6
2665.5
2820.8
2983.4
3077.4
3024.8
2731.8
3046.2
2834.8
3292.8
2946.1
3196.9
3284.2
3003
2979
3137.4
3647.7
3283
2947.3
Dataseries Z:
Download CSV
Histogram 
3258.1
3140.1
3627.4
3279.4
3204
3515.6
3146.6
2271.7
3627.9
3553.4
3018.3
3355.4
3242
3311.1
4125.2
3423
3120.3
3863
3240.8
2837.4
3945
3684.1
3659.6
3769.6
3592.7
3754
4507.8
3853.2
3817.2
3958.4
3428.9
3125.7
3977
3983.3
4299.6
4306.9
4259.5
3986
4755.6
3925.6
4206.5
4323.4
3816.1
3410.7
4227.4
4296.9
4351.7
3800
4277
4100.2
4672.5
4189.9
4231.9
4654.9
4298.5
3635.9
4505.1
4910.1
4908.7
4101.4

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'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=23558&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=23558&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=23558&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Pearson Product Moment Partial Correlation - Ungrouped Data
StatisticValue
Correlation r(xy)0.929496463725312
Partial Correlation r(xy.z)0.701877730719178
Correlation r(xz)0.85592875852792
Partial Correlation r(xz.y)0.0523869653158461
Correlation r(yz)0.912341023942633
Partial Correlation r(yz.x)0.612196590458942

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Partial Correlation - Ungrouped Data \tabularnewline
Statistic & Value \tabularnewline
Correlation r(xy) & 0.929496463725312 \tabularnewline
Partial Correlation r(xy.z) & 0.701877730719178 \tabularnewline
Correlation r(xz) & 0.85592875852792 \tabularnewline
Partial Correlation r(xz.y) & 0.0523869653158461 \tabularnewline
Correlation r(yz) & 0.912341023942633 \tabularnewline
Partial Correlation r(yz.x) & 0.612196590458942 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=23558&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]0.929496463725312[/C][/ROW]
[ROW][C]Partial Correlation r(xy.z)[/C][C]0.701877730719178[/C][/ROW]
[ROW][C]Correlation r(xz)[/C][C]0.85592875852792[/C][/ROW]
[ROW][C]Partial Correlation r(xz.y)[/C][C]0.0523869653158461[/C][/ROW]
[ROW][C]Correlation r(yz)[/C][C]0.912341023942633[/C][/ROW]
[ROW][C]Partial Correlation r(yz.x)[/C][C]0.612196590458942[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=23558&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=23558&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)0.929496463725312
Partial Correlation r(xy.z)0.701877730719178
Correlation r(xz)0.85592875852792
Partial Correlation r(xz.y)0.0523869653158461
Correlation r(yz)0.912341023942633
Partial Correlation r(yz.x)0.612196590458942


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')