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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_correlation.wasp
Title produced by softwarePearson Correlation
Date of computationSun, 19 Oct 2008 11:29:06 -0600
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/Oct/19/t1224437407dxaput5vmlqa7ow.htm/, Retrieved Sat, 11 May 2024 20:20:06 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=16985, Retrieved Sat, 11 May 2024 20:20:06 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsq10, pearson correlation
Estimated Impact175

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Pearson Correlation] [Investigating ass...] [2007-10-22 22:08:56] [8cd6641b921d30ebe00b648d1481bba0]
F    D    [Pearson Correlation] [Investigating ass...] [2008-10-19 17:29:06] [c577d4c76516de948d1234ed72fcf120] [Current]
F R  D      [Pearson Correlation] [Investigating ass...] [2008-10-19 17:36:46] [cbd3d88cd5aad6543e769146e7e26b0c]
F    D        [Pearson Correlation] [Investigating ass...] [2008-10-19 17:44:01] [cbd3d88cd5aad6543e769146e7e26b0c]
F   PD          [Pearson Correlation] [pearsons correlat...] [2008-10-19 19:57:33] [7173087adebe3e3a714c80ea2417b3eb]
- RMP             [Box-Cox Linearity Plot] [box cox linearity...] [2008-12-10 14:43:09] [7173087adebe3e3a714c80ea2417b3eb]
-  M D              [Box-Cox Linearity Plot] [] [2009-12-13 15:20:51] [ebd107afac1bd6180acb277edd05815b]
-    D                [Box-Cox Linearity Plot] [] [2010-12-24 12:16:21] [6e5489189f7de5cfbcc25dd35ae15009]
-    D                  [Box-Cox Linearity Plot] [] [2010-12-24 12:38:45] [6e5489189f7de5cfbcc25dd35ae15009]
-   PD          [Pearson Correlation] [pearson correlati...] [2008-10-19 20:00:10] [7173087adebe3e3a714c80ea2417b3eb]
-   PD          [Pearson Correlation] [pearsons correlat...] [2008-10-19 20:03:15] [7173087adebe3e3a714c80ea2417b3eb]
-   PD          [Pearson Correlation] [pearsons correlat...] [2008-10-19 20:05:19] [7173087adebe3e3a714c80ea2417b3eb]
Feedback Forum
2008-10-25 13:09:13 [Bob Leysen] [reply] 
Vanboven staat 'unverified author'.
Er is een correlatie van 75%
2008-10-27 20:44:22 [Jeroen Michel] [reply] 
De correlatie hier bedraagt ca. 0,75. In het word document beschrijft u de resultaten op een correcte manier, hieraan is echter weinig toe te voegen.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
97.3
101
113.2
101
105.7
113.9
86.4
96.5
103.3
114.9
105.8
94.2
98.4
99.4
108.8
112.6
104.4
112.2
81.1
97.1
112.6
113.8
107.8
103.2
103.3
101.2
107.7
110.4
101.9
115.9
89.9
88.6
117.2
123.9
100
103.6
94.1
98.7
119.5
112.7
104.4
124.7
89.1
97
121.6
118.8
114
111.5
97.2
102.5
113.4
109.8
104.9
126.1
80
96.8
117.2
112.3
117.3
111.1
102.2
104.3
122.9
107.6
121.3
131.5
89
104.4
128.9
135.9
133.3
121.3
Dataseries Y:
Download CSV
Histogram 
93.5
94.7
112.9
99.2
105.6
113
83.1
81.1
96.9
104.3
97.7
102.6
89.9
96
112.7
107.1
106.2
121
101.2
83.2
105.1
113.3
99.1
100.3
93.5
98.8
106.2
98.3
102.1
117.1
101.5
80.5
105.9
109.5
97.2
114.5
93.5
100.9
121.1
116.5
109.3
118.1
108.3
105.4
116.2
111.2
105.8
122.7
99.5
107.9
124.6
115
110.3
132.7
99.7
96.5
118.7
112.9
130.5
137.9
115
116.8
140.9
120.7
134.2
147.3
112.4
107.1
128.4
137.7
135
151

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'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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=16985&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=16985&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=16985&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'Gwilym Jenkins' @ 72.249.127.135






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean107.576388888889109.8125
Biased Variance140.997636959877222.758038194444
Biased Standard Deviation11.874242584682014.9250808438160
Covariance134.270862676056
Correlation0.747110813264338
Determination0.5581745672965
T-Test9.4039148158336
p-value (2 sided)4.84057238736568e-14
p-value (1 sided)2.42028619368284e-14
Degrees of Freedom70
Number of Observations72

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 107.576388888889 & 109.8125 \tabularnewline
Biased Variance & 140.997636959877 & 222.758038194444 \tabularnewline
Biased Standard Deviation & 11.8742425846820 & 14.9250808438160 \tabularnewline
Covariance & 134.270862676056 \tabularnewline
Correlation & 0.747110813264338 \tabularnewline
Determination & 0.5581745672965 \tabularnewline
T-Test & 9.4039148158336 \tabularnewline
p-value (2 sided) & 4.84057238736568e-14 \tabularnewline
p-value (1 sided) & 2.42028619368284e-14 \tabularnewline
Degrees of Freedom & 70 \tabularnewline
Number of Observations & 72 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=16985&T=1

[TABLE]
[ROW][C]Pearson Product Moment Correlation - Ungrouped Data[/C][/ROW]
[ROW][C]Statistic[/C][C]Variable X[/C][C]Variable Y[/C][/ROW]
[ROW][C]Mean[/C][C]107.576388888889[/C][C]109.8125[/C][/ROW]
[ROW][C]Biased Variance[/C][C]140.997636959877[/C][C]222.758038194444[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]11.8742425846820[/C][C]14.9250808438160[/C][/ROW]
[ROW][C]Covariance[/C][C]134.270862676056[/C][/ROW]
[ROW][C]Correlation[/C][C]0.747110813264338[/C][/ROW]
[ROW][C]Determination[/C][C]0.5581745672965[/C][/ROW]
[ROW][C]T-Test[/C][C]9.4039148158336[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]4.84057238736568e-14[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]2.42028619368284e-14[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]70[/C][/ROW]
[ROW][C]Number of Observations[/C][C]72[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=16985&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=16985&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 Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean107.576388888889109.8125
Biased Variance140.997636959877222.758038194444
Biased Standard Deviation11.874242584682014.9250808438160
Covariance134.270862676056
Correlation0.747110813264338
Determination0.5581745672965
T-Test9.4039148158336
p-value (2 sided)4.84057238736568e-14
p-value (1 sided)2.42028619368284e-14
Degrees of Freedom70
Number of Observations72


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
Parameters (R input):
R code (references can be found in the software module):
bitmap(file='test1.png')
histx <- hist(x, plot=FALSE)
histy <- hist(y, plot=FALSE)
maxcounts <- max(c(histx$counts, histx$counts))
xrange <- c(min(x),max(x))
yrange <- c(min(y),max(y))
nf <- layout(matrix(c(2,0,1,3),2,2,byrow=TRUE), c(3,1), c(1,3), TRUE)
par(mar=c(4,4,1,1))
plot(x, y, xlim=xrange, ylim=yrange, xlab=xlab, ylab=ylab)
par(mar=c(0,4,1,1))
barplot(histx$counts, axes=FALSE, ylim=c(0, maxcounts), space=0)
par(mar=c(4,0,1,1))
barplot(histy$counts, axes=FALSE, xlim=c(0, maxcounts), space=0, horiz=TRUE)
dev.off()
lx = length(x)
makebiased = (lx-1)/lx
varx = var(x)*makebiased
vary = var(y)*makebiased
corxy <- cor.test(x,y,method='pearson')
cxy <- as.matrix(corxy$estimate)[1,1]
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Pearson Product Moment Correlation - Ungrouped Data',3,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Statistic',1,TRUE)
a<-table.element(a,'Variable X',1,TRUE)
a<-table.element(a,'Variable Y',1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('arithmetic_mean.htm','Mean',''),header=TRUE)
a<-table.element(a,mean(x))
a<-table.element(a,mean(y))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('biased.htm','Biased Variance',''),header=TRUE)
a<-table.element(a,varx)
a<-table.element(a,vary)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('biased1.htm','Biased Standard Deviation',''),header=TRUE)
a<-table.element(a,sqrt(varx))
a<-table.element(a,sqrt(vary))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('covariance.htm','Covariance',''),header=TRUE)
a<-table.element(a,cov(x,y),2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('pearson_correlation.htm','Correlation',''),header=TRUE)
a<-table.element(a,cxy,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('coeff_of_determination.htm','Determination',''),header=TRUE)
a<-table.element(a,cxy*cxy,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('ttest_statistic.htm','T-Test',''),header=TRUE)
a<-table.element(a,as.matrix(corxy$statistic)[1,1],2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value (2 sided)',header=TRUE)
a<-table.element(a,(p2 <- as.matrix(corxy$p.value)[1,1]),2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value (1 sided)',header=TRUE)
a<-table.element(a,p2/2,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Degrees of Freedom',header=TRUE)
a<-table.element(a,lx-2,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Number of Observations',header=TRUE)
a<-table.element(a,lx,2)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')