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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_correlation.wasp
Title produced by softwarePearson Correlation
Date of computationSat, 17 Dec 2011 16:26:02 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Dec/17/t13241571852xn8kln34l2ow4h.htm/, Retrieved Fri, 29 Mar 2024 15:31:57 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=156589, Retrieved Fri, 29 Mar 2024 15:31:57 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact164
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Notched Boxplots] [Screen Width and ...] [2010-09-25 10:03:47] [b98453cac15ba1066b407e146608df68]
- R  D  [Notched Boxplots] [Arbitrary Reducti...] [2010-10-04 16:32:21] [b98453cac15ba1066b407e146608df68]
- R PD    [Notched Boxplots] [Paper deel 1: Not...] [2011-12-17 21:08:47] [a9a952c1cbc7081c25fad93a34aab827]
- RM D        [Pearson Correlation] [Paper deel 1: Sca...] [2011-12-17 21:26:02] [0a33c029fc36ba20d75a47e4ff91377b] [Current]
- R P           [Pearson Correlation] [Paper deel 1 Scat...] [2011-12-18 15:13:41] [1321c14511baa35aebbc5dda661708fe]
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Dataseries X:
1440
1920
1280
1280
1280
1366
1440
953
1280
1920
1366
1366
1280
1280
1280
1024
1366
1600
1024
1920
1280
1280
1024
1024
1311
1280
1280
1440
1229
1280
1600
1280
1366
1152
1280
1280
1280
1280
1280
1280
1366
1680
1280
1366
1280
1280
1366
1024
1680
1366
1280
1280
1366
1280
1024
1280
1280
1366
1440
1366
1280
1440
1920
1366
1280
1280
1440
1280
1680
1280
1366
1280
1280
1280
1366
1920
1920
1229
1280
1920
1280
1024
1280
1024
1280
1280
1280
1680
1360
1024
1920
1366
1366
1280
1600
1024
1366
1280
1024
1280
1366
1440
1200
1440
1680
1280
1400
1366
1280
1440
1280
1440
1440
1920
1920
1366
1366
1517
1680
1280
1280
1280
1280
1366
320
1920
1280
1440
1366
1280
1366
1366
1280
1536
1280
1280
1680
1280
1440
1280
1360
1920
1680
1366
1280
1280
1440
1280
1280
1680
320
1366
1280
1366
1024
1280
1366
1280
1366
1280
1117
1280
Dataseries Y:
900
1080
800
1024
1024
768
900
762
800
1080
768
768
800
800
800
600
768
900
600
1080
800
800
600
768
737
800
800
900
737
800
900
800
768
720
800
800
800
960
800
800
768
1050
800
768
1024
1024
768
768
1050
768
1024
1024
768
800
768
800
1024
768
900
768
800
900
1080
768
800
800
900
800
1050
800
768
800
800
800
768
1080
1080
691
800
1080
800
768
800
768
1024
1024
800
1050
768
768
1080
768
768
800
900
768
768
800
600
800
768
900
1600
900
1050
800
1050
768
800
900
800
900
900
1080
1080
768
768
948
945
1024
800
1024
1024
768
480
1080
800
900
768
800
768
768
800
864
800
800
1050
800
900
800
768
1080
1050
768
800
800
900
800
1024
1050
480
768
800
768
768
1024
768
1024
768
800
698
800




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net

\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 & 0 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=156589&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]0 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=156589&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156589&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 computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean1355.04938271605854.197530864198
Biased Variance57275.355586038719182.4795000762
Biased Standard Deviation239.322701777409138.500828517653
Covariance21908.952917721
Correlation0.656895391594709
Determination0.431511555498366
T-Test11.020349951682
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom160
Number of Observations162

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 1355.04938271605 & 854.197530864198 \tabularnewline
Biased Variance & 57275.3555860387 & 19182.4795000762 \tabularnewline
Biased Standard Deviation & 239.322701777409 & 138.500828517653 \tabularnewline
Covariance & 21908.952917721 \tabularnewline
Correlation & 0.656895391594709 \tabularnewline
Determination & 0.431511555498366 \tabularnewline
T-Test & 11.020349951682 \tabularnewline
p-value (2 sided) & 0 \tabularnewline
p-value (1 sided) & 0 \tabularnewline
Degrees of Freedom & 160 \tabularnewline
Number of Observations & 162 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=156589&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]1355.04938271605[/C][C]854.197530864198[/C][/ROW]
[ROW][C]Biased Variance[/C][C]57275.3555860387[/C][C]19182.4795000762[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]239.322701777409[/C][C]138.500828517653[/C][/ROW]
[ROW][C]Covariance[/C][C]21908.952917721[/C][/ROW]
[ROW][C]Correlation[/C][C]0.656895391594709[/C][/ROW]
[ROW][C]Determination[/C][C]0.431511555498366[/C][/ROW]
[ROW][C]T-Test[/C][C]11.020349951682[/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]160[/C][/ROW]
[ROW][C]Number of Observations[/C][C]162[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=156589&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156589&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
StatisticVariable XVariable Y
Mean1355.04938271605854.197530864198
Biased Variance57275.355586038719182.4795000762
Biased Standard Deviation239.322701777409138.500828517653
Covariance21908.952917721
Correlation0.656895391594709
Determination0.431511555498366
T-Test11.020349951682
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom160
Number of Observations162



Parameters (Session):
par1 = 9 ; par2 = 80 ; par3 = 0 ;
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')