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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_correlation.wasp
Title produced by softwarePearson Correlation
Date of computationTue, 05 Oct 2010 12:01:58 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Oct/05/t12862801680zgcxrtmi8ygbyv.htm/, Retrieved Sat, 27 Apr 2024 15:36:44 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=81406, Retrieved Sat, 27 Apr 2024 15:36:44 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact146

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Histogram] [Frequency Plot OS] [2010-10-05 10:17:06] [f8a42ef3d372ff78e390c6fbc994bfc8]
- RMPD    [Pearson Correlation] [Correlatie Breedt...] [2010-10-05 12:01:58] [1dcc00c558d86ebf2132b02bed787260] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1366
1680
1280
1280
1024
1280
1117
1024
1440
1024
1024
1280
1280
1280
1257
1152
1176
1024
1024
1280
1280
1280
1024
1280
1024
1280
1688
1024
1280
1680
1280
1680
1408
1440
1280
1280
1280
1440
1152
1680
1280
1280
1920
1024
1440
1140
1280
1280
1503
1440
2560
1280
1440
1600
1600
1280
1366
1280
1366
1280
1280
1120
1176
1280
1760
1280
1440
1280
1600
1366
1280
1024
1280
1440
1024
1143
1280
1440
1024
1280
1024
1366
1366
1024
1024
1280
1280
1440
1280
1440
1366
1280
1280
1280
1024
1440
1024
917
1280
1024
1280
1280
1440
1920
1280
1440
983
1024
1280
1280
1280
1280
1600
1024
1440
1280
1280
1280
1366
1408
1440
1280
1280
1280
1280
1280
1280
1280
1280
1440
1440
1440
1440
1440
1280
1280
1600
1280
1280
Dataseries Y:
Download CSV
Histogram 
768
1050
800
1024
768
768
698
768
900
768
768
800
800
800
785
864
735
768
768
800
800
800
768
768
768
800
949
768
800
1050
800
1050
880
900
1024
1024
800
900
864
1050
768
800
1080
768
900
641
800
800
845
900
1440
800
900
900
1200
1024
768
800
768
800
800
700
735
800
990
768
900
800
900
768
1024
768
800
900
640
857
800
900
768
800
768
768
768
768
768
800
800
900
800
900
768
800
800
800
768
900
768
550
800
768
800
800
900
1200
800
900
737
768
800
800
1024
800
900
768
900
800
800
1024
768
880
900
800
1024
800
800
800
800
800
1024
900
900
900
900
900
1024
800
900
800
800

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'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=81406&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=81406&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=81406&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'RServer@AstonUniversity' @ vre.aston.ac.uk






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean1309.15107913669844.503597122302
Biased Variance45390.718182288712936.8686920967
Biased Standard Deviation213.050975548784113.740356479557
Covariance18734.6480033365
Correlation0.767558899807277
Determination0.589146664673358
T-Test14.0161451635828
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom137
Number of Observations139

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 1309.15107913669 & 844.503597122302 \tabularnewline
Biased Variance & 45390.7181822887 & 12936.8686920967 \tabularnewline
Biased Standard Deviation & 213.050975548784 & 113.740356479557 \tabularnewline
Covariance & 18734.6480033365 \tabularnewline
Correlation & 0.767558899807277 \tabularnewline
Determination & 0.589146664673358 \tabularnewline
T-Test & 14.0161451635828 \tabularnewline
p-value (2 sided) & 0 \tabularnewline
p-value (1 sided) & 0 \tabularnewline
Degrees of Freedom & 137 \tabularnewline
Number of Observations & 139 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=81406&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]1309.15107913669[/C][C]844.503597122302[/C][/ROW]
[ROW][C]Biased Variance[/C][C]45390.7181822887[/C][C]12936.8686920967[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]213.050975548784[/C][C]113.740356479557[/C][/ROW]
[ROW][C]Covariance[/C][C]18734.6480033365[/C][/ROW]
[ROW][C]Correlation[/C][C]0.767558899807277[/C][/ROW]
[ROW][C]Determination[/C][C]0.589146664673358[/C][/ROW]
[ROW][C]T-Test[/C][C]14.0161451635828[/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]137[/C][/ROW]
[ROW][C]Number of Observations[/C][C]139[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=81406&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=81406&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
Mean1309.15107913669844.503597122302
Biased Variance45390.718182288712936.8686920967
Biased Standard Deviation213.050975548784113.740356479557
Covariance18734.6480033365
Correlation0.767558899807277
Determination0.589146664673358
T-Test14.0161451635828
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom137
Number of Observations139


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')