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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 16:59:34 -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/21/t1224543622os6epikl6v37gto.htm/, Retrieved Sun, 19 May 2024 18:48:50 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=18289, Retrieved Sun, 19 May 2024 18:48:50 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact135

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] [Invoer België VS] [2008-10-13 18:50:00] [b8fbc01255310b0d45a84fea6711862e]
F RMPD    [Pearson Correlation] [Invoer uitvoer co...] [2008-10-20 22:59:34] [21d7d81e7693ad6dde5aadefb1046611] [Current]
Feedback Forum
2008-10-25 13:58:17 [Astrid Sniekers] [reply] 
Ik weet niet welke tijdreeksen de student heeft gekozen. Ik heb geen gegevens of grafieken van de tijdreeksen. Bijgevolg weet ik ook niet of de berekeningen die de student heeft gedaan juist zijn. De oplossing van de student is alles behalve duidelijk. Hij of zij gooit verschillende vragen door elkaar.
2008-10-26 22:42:22 [Elias Van Deun] [reply] 
Het is goed dat hij de correlatie onderling nagaat. Verder weet ik niet of de berekening correct gedaan is omwille van het ontbreken van tijdreeksen gegevens.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
604.4
883.9
527.9
756.2
812.9
655.6
707.6
612.6
659.2
833.4
727.8
797.2
753
762
613.7
759.2
816.4
736.8
680.1
736.5
637.2
801.9
772.3
897.3
792.1
826.8
666.8
906.6
871.4
891
739.2
833.6
715.6
871.6
751.6
1005.5
681.2
837.3
674.7
806.3
860.2
689.8
691.6
682.6
800.1
1023.7
733.5
875.3
770.2
1005.7
982.3
742.9
974.2
822.3
773.2
750.9
708
690
652.8
620.7
461.9
Dataseries Y:
Download CSV
Histogram 
882.5
789.6
773.3
804.3
817.8
836.7
721.8
760.8
841.4
1045.6
949.2
850.1
957.4
851.8
913.9
888
973.8
927.6
833
879.5
797.3
834.5
735.1
835
892.8
697.2
821.1
732.7
797.6
866.3
826.3
778.6
779.2
951
692.3
841.4
857.3
760.7
841.2
810.3
1007.4
931.3
931.2
855.8
858.4
925.9
930.7
1037.6
979.2
942.6
843.9
854.3
1029.8
944
856.4
1059.4
959.3
941.5
1026.4
921.3
968

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=18289&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=18289&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18289&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
Mean766.037704918033872.95737704918
Biased Variance12805.27152915887786.48441279226
Biased Standard Deviation113.1603796792888.2410585430176
Covariance548.047300546448
Correlation0.0539851550557109
Determination0.00291439696638915
T-Test0.415273421549332
p-value (2 sided)0.679448122873503
p-value (1 sided)0.339724061436751
Degrees of Freedom59
Number of Observations61

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 766.037704918033 & 872.95737704918 \tabularnewline
Biased Variance & 12805.2715291588 & 7786.48441279226 \tabularnewline
Biased Standard Deviation & 113.16037967928 & 88.2410585430176 \tabularnewline
Covariance & 548.047300546448 \tabularnewline
Correlation & 0.0539851550557109 \tabularnewline
Determination & 0.00291439696638915 \tabularnewline
T-Test & 0.415273421549332 \tabularnewline
p-value (2 sided) & 0.679448122873503 \tabularnewline
p-value (1 sided) & 0.339724061436751 \tabularnewline
Degrees of Freedom & 59 \tabularnewline
Number of Observations & 61 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18289&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]766.037704918033[/C][C]872.95737704918[/C][/ROW]
[ROW][C]Biased Variance[/C][C]12805.2715291588[/C][C]7786.48441279226[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]113.16037967928[/C][C]88.2410585430176[/C][/ROW]
[ROW][C]Covariance[/C][C]548.047300546448[/C][/ROW]
[ROW][C]Correlation[/C][C]0.0539851550557109[/C][/ROW]
[ROW][C]Determination[/C][C]0.00291439696638915[/C][/ROW]
[ROW][C]T-Test[/C][C]0.415273421549332[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.679448122873503[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.339724061436751[/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=18289&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18289&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
Mean766.037704918033872.95737704918
Biased Variance12805.27152915887786.48441279226
Biased Standard Deviation113.1603796792888.2410585430176
Covariance548.047300546448
Correlation0.0539851550557109
Determination0.00291439696638915
T-Test0.415273421549332
p-value (2 sided)0.679448122873503
p-value (1 sided)0.339724061436751
Degrees of Freedom59
Number of Observations61


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.01 ; par2 = 0.99 ; par3 = 0.005 ;
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')