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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_correlation.wasp
Title produced by softwarePearson Correlation
Date of computationSun, 19 Oct 2008 12:49:57 -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/t12244422449dg2guwl8yhgz5g.htm/, Retrieved Tue, 28 May 2024 16:26:41 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=17047, Retrieved Tue, 28 May 2024 16:26:41 +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       [Pearson Correlation] [Correlation: Tota...] [2008-10-19 18:49:57] [6fc58909ffe15c247a4f6748c8841ab4] [Current]
Feedback Forum
2008-10-24 16:13:58 [Matthieu Blondeau] [reply] 
Hoge correlatie waardoor er een vrij constante rechte verschijnt op de grafiek. Er is een sterk verband tussen de totale werklossheid en de werkloosheid bij de vrouwen.
2008-10-26 14:31:43 [a3bd64f7d45ff4aaf16467137b923bbb] [reply] 
Hier kan men ook een stijgende rechte doortrekken door de grafiek. Hier is er ook een sterke correlatie.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
7.4
7.2
7.1
6.9
6.8
6.8
6.8
6.9
6.7
6.6
6.5
6.4
6.3
6.3
6.3
6.5
6.6
6.5
6.4
6.5
6.7
7.1
7.1
7.2
7.2
7.3
7.3
7.3
7.3
7.4
7.6
7.6
7.6
7.7
7.8
7.9
8.1
8.1
8.1
8.2
8.2
8.2
8.2
8.2
8.2
8.3
8.3
8.4
8.4
8.4
8.3
8.0
8.0
8.2
8.6
8.7
8.7
8.5
8.4
8.4
8.4
8.5
8.5
8.5
8.5
8.5
8.4
8.4
8.4
8.5
8.6
8.6
8.6
8.6
8.5
8.4
8.4
8.3
8.2
8.1
8.2
8.1
8.0
7.9
7.8
7.7
7.7
7.9
7.8
7.6
7.4
7.3
7.1
7.1
7.0
7.0
7.0
6.9
6.8
6.7
6.6
6.6
Dataseries Y:
Download CSV
Histogram 
9.0
8.8
8.7
8.7
8.6
8.6
8.5
8.5
8.3
8.2
8.1
7.8
7.5
7.4
7.3
7.7
7.7
7.6
7.3
7.2
7.5
8.0
8.1
8.4
8.6
8.7
8.6
8.4
8.4
8.5
8.9
8.8
8.7
8.6
8.6
8.6
8.8
8.8
8.8
8.8
8.7
8.7
8.9
8.9
9.0
8.9
9.0
9.1
9.3
9.4
9.4
9.2
9.2
9.4
9.9
10.0
9.9
9.6
9.5
9.6
9.5
9.6
9.6
9.5
9.5
9.5
9.5
9.4
9.5
9.5
9.5
9.5
9.5
9.4
9.3
9.2
9.3
9.4
9.5
9.6
9.5
9.3
9.1
9.0
9.0
8.9
9.0
9.2
9.0
8.7
8.3
8.0
7.7
7.9
7.9
7.8
7.7
7.5
7.3
7.2
7.1
7.1

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=17047&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=17047&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=17047&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 Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean7.664705882352948.71764705882353
Biased Variance0.5342445213379470.547531718569781
Biased Standard Deviation0.730920324890440.739953862460208
Covariance0.494985439720443
Correlation0.906231066299893
Determination0.821254745527042
T-Test21.4349110585586
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom100
Number of Observations102

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 7.66470588235294 & 8.71764705882353 \tabularnewline
Biased Variance & 0.534244521337947 & 0.547531718569781 \tabularnewline
Biased Standard Deviation & 0.73092032489044 & 0.739953862460208 \tabularnewline
Covariance & 0.494985439720443 \tabularnewline
Correlation & 0.906231066299893 \tabularnewline
Determination & 0.821254745527042 \tabularnewline
T-Test & 21.4349110585586 \tabularnewline
p-value (2 sided) & 0 \tabularnewline
p-value (1 sided) & 0 \tabularnewline
Degrees of Freedom & 100 \tabularnewline
Number of Observations & 102 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=17047&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]7.66470588235294[/C][C]8.71764705882353[/C][/ROW]
[ROW][C]Biased Variance[/C][C]0.534244521337947[/C][C]0.547531718569781[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]0.73092032489044[/C][C]0.739953862460208[/C][/ROW]
[ROW][C]Covariance[/C][C]0.494985439720443[/C][/ROW]
[ROW][C]Correlation[/C][C]0.906231066299893[/C][/ROW]
[ROW][C]Determination[/C][C]0.821254745527042[/C][/ROW]
[ROW][C]T-Test[/C][C]21.4349110585586[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]100[/C][/ROW]
[ROW][C]Number of Observations[/C][C]102[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=17047&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=17047&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
Mean7.664705882352948.71764705882353
Biased Variance0.5342445213379470.547531718569781
Biased Standard Deviation0.730920324890440.739953862460208
Covariance0.494985439720443
Correlation0.906231066299893
Determination0.821254745527042
T-Test21.4349110585586
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom100
Number of Observations102


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')