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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, 06 Jan 2008 07:55:21 -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/Jan/06/t11996323909o9zajlpd8ioeyl.htm/, Retrieved Sun, 05 May 2024 05:46:40 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=7809, Retrieved Sun, 05 May 2024 05:46:40 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsInvestigating associations werkgelegenheid VS Econ activiteit Q2
Estimated Impact214

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Central Tendency] [WS2 - Robustness ...] [2007-10-20 13:06:37] [5343e105a400b9e32bf6f011133bbaf4]
- RM D    [Pearson Correlation] [CVWS1WG-EAQ3] [2008-01-06 14:55:21] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
59.9
59.9
59.9
60.9
60.9
60.9
61.1
61.1
61.1
60.2
60.2
60.2
60.1
60.1
60.1
59.7
59.7
59.7
60.5
60.5
60.5
59.5
59.5
59.5
59.5
59.5
59.5
59.7
59.7
59.7
60.4
60.4
60.4
60
60
60
59
59
59
59.3
59.3
59.3
59.7
59.7
59.7
60.4
60.4
60.4
59.9
59.9
59.9
60.5
60.5
60.5
60.4
60.4
60.4
60.6
60.6
60.6
60.9
60.9
60.9
61
61
61
61.2
61.2
61.2
61.2
61.2
61.2
60.3
60.3
60.3
60.4
60.4
60.4
61.2
61.2
61.2
62.1
62.1
62.1
61.7
61.7
61.7
61.6
61.6
61.6
Dataseries Y:
Download CSV
Histogram 
13,5
16,2
17,6
15,8
17,6
15,2
15,9
12,0
13,3
14,8
16,1
16,9
17,6
13,9
10,0
7,6
7,1
8,1
8,1
7,7
4,0
1,4
0,3
-1,0
-1,9
-1,5
-0,2
3,4
3,0
4,1
3,4
3,2
6,1
5,8
6,2
5,8
5,9
6,7
5,9
3,8
1,7
1,4
1,8
3,0
3,6
4,8
4,3
4,2
2,9
4,9
7,2
8,7
9,1
8,9
9,0
11,6
9,6
9,1
9,2
10,8
11,0
8,5
6,5
7,2
7,8
8,7
7,8
7,5
7,7
7,5
8,3
7,9
10,4
11,5
14,0
11,9
11,9
10,3
11,3
9,9
8,9
9,2
8,8
6,7
7,1
6,6
7,2
5,0
5,3
6,3

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of compuational 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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7809&T=0

[TABLE]
[ROW][C]Summary of compuational 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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7809&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7809&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 compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean60.437.93222222222222
Biased Variance0.54610000000000120.4919617283951
Biased Standard Deviation0.7389857914736934.52680480343421
Covariance1.07857303370787
Correlation0.318837355847688
Determination0.101657259483945
T-Test3.15565490405992
p-value (2 sided)0.00219252141073878
p-value (1 sided)0.00109626070536939
Degrees of Freedom88
Number of Observations90

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 60.43 & 7.93222222222222 \tabularnewline
Biased Variance & 0.546100000000001 & 20.4919617283951 \tabularnewline
Biased Standard Deviation & 0.738985791473693 & 4.52680480343421 \tabularnewline
Covariance & 1.07857303370787 \tabularnewline
Correlation & 0.318837355847688 \tabularnewline
Determination & 0.101657259483945 \tabularnewline
T-Test & 3.15565490405992 \tabularnewline
p-value (2 sided) & 0.00219252141073878 \tabularnewline
p-value (1 sided) & 0.00109626070536939 \tabularnewline
Degrees of Freedom & 88 \tabularnewline
Number of Observations & 90 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7809&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]60.43[/C][C]7.93222222222222[/C][/ROW]
[ROW][C]Biased Variance[/C][C]0.546100000000001[/C][C]20.4919617283951[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]0.738985791473693[/C][C]4.52680480343421[/C][/ROW]
[ROW][C]Covariance[/C][C]1.07857303370787[/C][/ROW]
[ROW][C]Correlation[/C][C]0.318837355847688[/C][/ROW]
[ROW][C]Determination[/C][C]0.101657259483945[/C][/ROW]
[ROW][C]T-Test[/C][C]3.15565490405992[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.00219252141073878[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.00109626070536939[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]88[/C][/ROW]
[ROW][C]Number of Observations[/C][C]90[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7809&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7809&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
Mean60.437.93222222222222
Biased Variance0.54610000000000120.4919617283951
Biased Standard Deviation0.7389857914736934.52680480343421
Covariance1.07857303370787
Correlation0.318837355847688
Determination0.101657259483945
T-Test3.15565490405992
p-value (2 sided)0.00219252141073878
p-value (1 sided)0.00109626070536939
Degrees of Freedom88
Number of Observations90


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')