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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 computationMon, 20 Oct 2008 08:26:36 -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/20/t1224512832fpxtvcb5tn391v7.htm/, Retrieved Fri, 17 May 2024 03:46:17 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=17361, Retrieved Fri, 17 May 2024 03:46:17 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact170

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] [werkloosheid mannen] [2008-10-13 15:39:35] [e43247bc0ab243a5af99ac7f55ba0b41]
F   PD  [Univariate Data Series] [werkloosheid onde...] [2008-10-13 15:49:45] [e43247bc0ab243a5af99ac7f55ba0b41]
F RMPD      [Pearson Correlation] [correlation reeks 3] [2008-10-20 14:26:36] [f24298b2e4c2a19d76cf4460ec5d2246] [Current]
Feedback Forum
2008-10-27 17:59:55 [Lindsay Heyndrickx] [reply] 
Hier heb ik volledig foute berekeningen gemaakt. Ik heb hier niet de juiste gegevens ingevoerd en de grafiek klopt helemaal niet. Ik heb hier ook geen uitleg gegeven bij de correlaties.
Bij al deze tijdreeksen is er correlatie maar het is hier niet omdat er correlatie is dat er een verband bestaat tussen de tijdreeksen. Deze correlaties zijn eerder toevallig.
Dit zijn de blogs die ik had moeten maken:
tijdreeks 1 en 2:
http://www.freestatistics.org/blog/date/2008/Oct/27/t1225108512fqoggkizdawzt1g.htm ,
Tijdreeks 1 en 3
http://www.freestatistics.org/blog/date/2008/Oct/27/t1225129193ikw8rk05iprayz5.htm ,
Tijdreeks 1 en 4
http://www.freestatistics.org/blog/date/2008/Oct/27/t12251293581mg0tb30sh90c4j.htm ,
Tijdreeks 2 en 4:
http://www.freestatistics.org/blog/date/2008/Oct/27/t1225129598i6flnxu4240wufq.htm ,
Tijdreeks 3 en 4
http://www.freestatistics.org/blog/date/2008/Oct/27/t1225129823upolwispdlipmms.htm ,
Tijdreeks 2 en 3:
http://www.freestatistics.org/blog/date/2008/Oct/27/t1225130006u452bop81hl0c9r.htm ,

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
80
60
10
20
30
Dataseries Y:
Download CSV
Histogram 
20
40
30
50
60

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=17361&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=17361&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=17361&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
Mean4040
Biased Variance680200
Biased Standard Deviation26.076809620810614.1421356237310
Covariance-225
Correlation-0.488093530091976
Determination0.238235294117647
T-Test-0.968619604501136
p-value (2 sided)0.404182538276366
p-value (1 sided)0.202091269138183
Degrees of Freedom3
Number of Observations5

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 40 & 40 \tabularnewline
Biased Variance & 680 & 200 \tabularnewline
Biased Standard Deviation & 26.0768096208106 & 14.1421356237310 \tabularnewline
Covariance & -225 \tabularnewline
Correlation & -0.488093530091976 \tabularnewline
Determination & 0.238235294117647 \tabularnewline
T-Test & -0.968619604501136 \tabularnewline
p-value (2 sided) & 0.404182538276366 \tabularnewline
p-value (1 sided) & 0.202091269138183 \tabularnewline
Degrees of Freedom & 3 \tabularnewline
Number of Observations & 5 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=17361&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]40[/C][C]40[/C][/ROW]
[ROW][C]Biased Variance[/C][C]680[/C][C]200[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]26.0768096208106[/C][C]14.1421356237310[/C][/ROW]
[ROW][C]Covariance[/C][C]-225[/C][/ROW]
[ROW][C]Correlation[/C][C]-0.488093530091976[/C][/ROW]
[ROW][C]Determination[/C][C]0.238235294117647[/C][/ROW]
[ROW][C]T-Test[/C][C]-0.968619604501136[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.404182538276366[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.202091269138183[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]3[/C][/ROW]
[ROW][C]Number of Observations[/C][C]5[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=17361&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=17361&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
Mean4040
Biased Variance680200
Biased Standard Deviation26.076809620810614.1421356237310
Covariance-225
Correlation-0.488093530091976
Determination0.238235294117647
T-Test-0.968619604501136
p-value (2 sided)0.404182538276366
p-value (1 sided)0.202091269138183
Degrees of Freedom3
Number of Observations5


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')