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Author's title

Author*Unverified author*
R Software Modulerwasp_correlation.wasp
Title produced by softwarePearson Correlation
Date of computationMon, 22 Oct 2007 03:49:50 -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/2007/Oct/22/s1kga6jhcjwkpkb1193049949.htm/, Retrieved Thu, 31 Oct 2024 23:25:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=1582, Retrieved Thu, 31 Oct 2024 23:25:46 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsQ10
Estimated Impact214
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Pearson Correlation] [Relationships Tot...] [2007-10-22 10:49:50] [1329bc68d11d0852ec1dfd239c736a2c] [Current]
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Dataseries X:
15859.4
15258.9
15498.6
15106.5
15023.6
12083.0
15761.3
16942.6
15070.3
13659.6
14768.9
14725.1
15998.1
15370.6
14956.9
15469.7
15101.8
11703.7
16283.6
16726.5
14968.9
14861.0
14583.3
15305.8
17903.9
16379.4
15420.3
17870.5
15912.8
13866.5
17823.2
17872.0
17422.0
16704.5
15991.2
16583.6
19123.5
17838.7
17209.4
18586.5
16258.1
15141.6
19202.1
17746.5
19090.1
18040.3
17515.5
17751.8
21072.4
17170.0
19439.5
19795.4
17574.9
16165.4
19464.6
19932.1
19961.2
17343.4
18924.2
18574.1
21350.6
Dataseries Y:
680,2
668,9
611,4
640,8
549,8
541,8
628,6
686,5
611,8
588,4
566,9
563,7
569,9
635,4
590,8
634,3
576,1
351,6
507,5
586,2
666,4
693,6
650,6
654,8
733,5
648,1
678,1
816,2
591,0
563,5
742,5
694,4
728,6
749,0
538,9
568,5
692,8
580,5
506,9
612,8
442,9
523,3
596,7
533,7
523,1
559,2
430,7
538,2
612,4
428,0
522,4
531,1
425,9
410,3
551,0
555,6
460,2
288,9
392,3
400,5
399,0




Summary of compuational 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 compuational 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=1582&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]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=1582&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=1582&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 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
Mean16739.5574.208196721311
Biased Variance3973850.9596721311036.6335393711
Biased Standard Deviation1993.45202091049105.055383200344
Covariance-23827.2571666667
Correlation-0.111910637299910
Determination0.0125239907408721
T-Test-0.865035833410592
p-value (2 sided)0.390522807555931
p-value (1 sided)0.195261403777965
Degrees of Freedom59
Number of Observations61

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 16739.5 & 574.208196721311 \tabularnewline
Biased Variance & 3973850.95967213 & 11036.6335393711 \tabularnewline
Biased Standard Deviation & 1993.45202091049 & 105.055383200344 \tabularnewline
Covariance & -23827.2571666667 \tabularnewline
Correlation & -0.111910637299910 \tabularnewline
Determination & 0.0125239907408721 \tabularnewline
T-Test & -0.865035833410592 \tabularnewline
p-value (2 sided) & 0.390522807555931 \tabularnewline
p-value (1 sided) & 0.195261403777965 \tabularnewline
Degrees of Freedom & 59 \tabularnewline
Number of Observations & 61 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=1582&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]16739.5[/C][C]574.208196721311[/C][/ROW]
[ROW][C]Biased Variance[/C][C]3973850.95967213[/C][C]11036.6335393711[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]1993.45202091049[/C][C]105.055383200344[/C][/ROW]
[ROW][C]Covariance[/C][C]-23827.2571666667[/C][/ROW]
[ROW][C]Correlation[/C][C]-0.111910637299910[/C][/ROW]
[ROW][C]Determination[/C][C]0.0125239907408721[/C][/ROW]
[ROW][C]T-Test[/C][C]-0.865035833410592[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.390522807555931[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.195261403777965[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]59[/C][/ROW]
[ROW][C]Number of Observations[/C][C]61[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=1582&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=1582&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
Mean16739.5574.208196721311
Biased Variance3973850.9596721311036.6335393711
Biased Standard Deviation1993.45202091049105.055383200344
Covariance-23827.2571666667
Correlation-0.111910637299910
Determination0.0125239907408721
T-Test-0.865035833410592
p-value (2 sided)0.390522807555931
p-value (1 sided)0.195261403777965
Degrees of Freedom59
Number of Observations61



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')