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Author's title

Author

*Unverified author*

R Software Module

rwasp_correlation.wasp

Title produced by software

Pearson Correlation

Date of computation

Mon, 22 Oct 2007 02:27:03 -0700

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2007/Oct/22/ex1zeoqdn222e3h1193044950.htm/, Retrieved Mon, 06 May 2024 09:45:57 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=1451, Retrieved Mon, 06 May 2024 09:45:57 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

ws1, groep1, vraag 10

Estimated Impact

173

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [Pearson Correlation] [vraag 10, deel 1,...] [2007-10-22 09:27:03] [234bcf6fb77cd83fa17f2489a043102b] [Current]

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Dataseries X:

Download CSV

Histogram

Boxplots

4,5
5,6
5,4
5,4
5,2
5,3
5,3
5,3
5,2
5,2
5,0
5,0
5,0
6,5
6,5
6,6
6,2
6,2
6,2
6,1
6,1
6,1
5,9
5,9
5,9
6,2
6,1
6,2
6,6
6,6
6,7
5,8
5,7
5,7
6,1
6,2
6,2
6,2
6,1
6,2
6,5
6,5
6,5
6,0
6,3
6,0
6,1
6,1
6,1
6,2
6,1
6,2
6,8
6,8
6,8
6,7
6,7
6,7
5,7
5,6
5,6
5,8
5,7
5,7
6,1
6,1
5,9
5,9
5,8
5,6
5,5
5,5
5,4

Dataseries Y:

Download CSV

Histogram

5,8
7,3
7,0
7,0
7,8
7,8
7,8
7,0
7,0
7,0
8,0
7,9
7,9
7,3
7,3
7,4
7,7
7,7
7,7
7,0
7,0
7,1
7,3
7,3
7,4
7,9
7,7
7,8
8,6
8,6
8,6
7,0
7,0
7,1
8,7
8,9
8,9
7,9
7,8
7,9
8,2
8,2
8,2
7,9
7,9
7,9
8,5
8,5
8,5
8,0
7,8
7,9
8,3
8,2
8,1
7,9
8,0
8,0
7,7
7,7
7,6
7,8
7,6
7,6
8,1
8,0
7,8
7,4
7,3
7,2
7,4
7,5
7,2

Summary of compuational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 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=1451&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=1451&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=1451&T=0

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Summary of compuational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Pearson Product Moment Correlation - Ungrouped Data
Statistic	Variable X	Variable Y
Mean	5.96164383561644	7.72328767123288
Biased Variance	0.24976168136611	0.293567273409645
Biased Standard Deviation	0.499761624543252	0.541818487511865
Covariance	0.150350076103501
Correlation	0.547641768545407
Determination	0.299911506655542
T-Test	5.51504764660852
p-value (2 sided)	5.32437646860728e-07
p-value (1 sided)	2.66218823430364e-07
Degrees of Freedom	71
Number of Observations	73

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 5.96164383561644 & 7.72328767123288 \tabularnewline
Biased Variance & 0.24976168136611 & 0.293567273409645 \tabularnewline
Biased Standard Deviation & 0.499761624543252 & 0.541818487511865 \tabularnewline
Covariance & 0.150350076103501 \tabularnewline
Correlation & 0.547641768545407 \tabularnewline
Determination & 0.299911506655542 \tabularnewline
T-Test & 5.51504764660852 \tabularnewline
p-value (2 sided) & 5.32437646860728e-07 \tabularnewline
p-value (1 sided) & 2.66218823430364e-07 \tabularnewline
Degrees of Freedom & 71 \tabularnewline
Number of Observations & 73 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=1451&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]5.96164383561644[/C][C]7.72328767123288[/C][/ROW]
[ROW][C]Biased Variance[/C][C]0.24976168136611[/C][C]0.293567273409645[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]0.499761624543252[/C][C]0.541818487511865[/C][/ROW]
[ROW][C]Covariance[/C][C]0.150350076103501[/C][/ROW]
[ROW][C]Correlation[/C][C]0.547641768545407[/C][/ROW]
[ROW][C]Determination[/C][C]0.299911506655542[/C][/ROW]
[ROW][C]T-Test[/C][C]5.51504764660852[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]5.32437646860728e-07[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]2.66218823430364e-07[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]71[/C][/ROW]
[ROW][C]Number of Observations[/C][C]73[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=1451&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=1451&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Pearson Product Moment Correlation - Ungrouped Data
Statistic	Variable X	Variable Y
Mean	5.96164383561644	7.72328767123288
Biased Variance	0.24976168136611	0.293567273409645
Biased Standard Deviation	0.499761624543252	0.541818487511865
Covariance	0.150350076103501
Correlation	0.547641768545407
Determination	0.299911506655542
T-Test	5.51504764660852
p-value (2 sided)	5.32437646860728e-07
p-value (1 sided)	2.66218823430364e-07
Degrees of Freedom	71
Number of Observations	73

Figure 1

PNG link

Postscript link

PDF link

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code