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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 computationThu, 13 Dec 2007 11:56:38 -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/Dec/13/t1197571283qoe3mace0z005ps.htm/, Retrieved Wed, 29 Oct 2025 01:32:56 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=3686, Retrieved Wed, 29 Oct 2025 01:32:56 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact312

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Pearson Correlation] [verband prijs en ...] [2007-12-13 18:56:38] [d02236afd58a58d13a748bbf41a37c2e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
575
591
603
653
593
674
687
525
621
654
469
561
514
569
654
598
555
598
624
592
580
616
548
543
492
513
546
638
582
655
539
560
577
513
514
471
542
522
638
543
531
600
554
528
551
511
494
384
482
463
565
521
549
610
558
489
359
551
459
490
Dataseries Y:
Download CSV
Histogram 
0,401000
0,426571
0,414161
0,329767
0,306000
0,312129
0,316000
0,320645
0,339767
0,348355
0,361000
0,361000
0,361000
0,349828
0,352935
0,357000
0,364355
0,367500
0,360000
0,391032
0,418833
0,452323
0,435900
0,411097
0,391903
0,389000
0,417613
0,411500
0,389387
0,394300
0,407000
0,415419
0,477500
0,518935
0,498100
0,511774
0,537258
0,515500
0,499129
0,491767
0,462323
0,457000
0,483000
0,494613
0,493267
0,479484
0,481267
0,476290
0,466871
0,466037
0,477065
0,474000
0,480677
0,500267
0,494000
0,512710
0,521536
0,559226
0,601433
0,620501

Tables (Output of Computation)





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=3686&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=3686&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=3686&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 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
Mean554.850.435430833333333
Biased Variance4179.12750.00530371196373889
Biased Standard Deviation64.64617158038050.0728265883022052
Covariance-2.5614798220339
Correlation-0.535006335198665
Determination0.286231778702707
T-Test-4.82274519900956
p-value (2 sided)1.06324448082004e-05
p-value (1 sided)5.31622240410022e-06
Degrees of Freedom58
Number of Observations60

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 554.85 & 0.435430833333333 \tabularnewline
Biased Variance & 4179.1275 & 0.00530371196373889 \tabularnewline
Biased Standard Deviation & 64.6461715803805 & 0.0728265883022052 \tabularnewline
Covariance & -2.5614798220339 \tabularnewline
Correlation & -0.535006335198665 \tabularnewline
Determination & 0.286231778702707 \tabularnewline
T-Test & -4.82274519900956 \tabularnewline
p-value (2 sided) & 1.06324448082004e-05 \tabularnewline
p-value (1 sided) & 5.31622240410022e-06 \tabularnewline
Degrees of Freedom & 58 \tabularnewline
Number of Observations & 60 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=3686&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]554.85[/C][C]0.435430833333333[/C][/ROW]
[ROW][C]Biased Variance[/C][C]4179.1275[/C][C]0.00530371196373889[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]64.6461715803805[/C][C]0.0728265883022052[/C][/ROW]
[ROW][C]Covariance[/C][C]-2.5614798220339[/C][/ROW]
[ROW][C]Correlation[/C][C]-0.535006335198665[/C][/ROW]
[ROW][C]Determination[/C][C]0.286231778702707[/C][/ROW]
[ROW][C]T-Test[/C][C]-4.82274519900956[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]1.06324448082004e-05[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]5.31622240410022e-06[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]58[/C][/ROW]
[ROW][C]Number of Observations[/C][C]60[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=3686&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=3686&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
Mean554.850.435430833333333
Biased Variance4179.12750.00530371196373889
Biased Standard Deviation64.64617158038050.0728265883022052
Covariance-2.5614798220339
Correlation-0.535006335198665
Determination0.286231778702707
T-Test-4.82274519900956
p-value (2 sided)1.06324448082004e-05
p-value (1 sided)5.31622240410022e-06
Degrees of Freedom58
Number of Observations60


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')