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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 computationMon, 20 Oct 2008 14:02:21 -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/20/t1224532988dolxb1q6cvtyiln.htm/, Retrieved Mon, 18 May 2026 20:31:24 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=18037, Retrieved Mon, 18 May 2026 20:31:24 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact358

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F       [Pearson Correlation] [vgl kolom 2 en 4 Q3] [2008-10-20 20:02:21] [e81ac192d6ae6d77191d83851a692999] [Current]
Feedback Forum
2008-10-24 12:36:09 [Kim Wester] [reply] 
Juist.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
144029
145762
144897
141466
142904
144615
149162
148476
148599
149027
151547
153647
156787
160249
159822
160137
159085
156606
158859
159186
159303
155148
144665
146215
147123
148735
152488
150507
150954
155431
153617
154267
154800
148101
150616
149924
146449
144297
136525
131800
128760
122731
115046
110411
111372
108636
96445
95589
92048
89532
84641
78039
74693
70542
72444
71674
69822
73983
77579
78886
Dataseries Y:
Download CSV
Histogram 
459191
466617
477604
482132
488837
490761
495016
491156
502519
509405
516184
525109
536953
543315
554950
574343
600423
605963
605672
626140
650740
644045
659971
677720
685500
692880
713398
726815
726448
722721
712776
707154
721030
698097
697694
696268
669371
642615
639078
632034
651048
652996
651578
672179
684741
685734
691557
717499
739340
760643
769425
790364
782748
799182
817333
834295
851736
849382
838158
817005

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=18037&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=18037&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18037&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
Mean130645655426.466666667
Biased Variance922650495.711693013458.5156
Biased Standard Deviation30375.1624802239108134.238141837
Covariance-2312485898.89830
Correlation-0.692305879536478
Determination0.479287430840776
T-Test-7.30656052608567
p-value (2 sided)8.95061244487572e-10
p-value (1 sided)4.47530622243786e-10
Degrees of Freedom58
Number of Observations60

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 130645 & 655426.466666667 \tabularnewline
Biased Variance & 922650495.7 & 11693013458.5156 \tabularnewline
Biased Standard Deviation & 30375.1624802239 & 108134.238141837 \tabularnewline
Covariance & -2312485898.89830 \tabularnewline
Correlation & -0.692305879536478 \tabularnewline
Determination & 0.479287430840776 \tabularnewline
T-Test & -7.30656052608567 \tabularnewline
p-value (2 sided) & 8.95061244487572e-10 \tabularnewline
p-value (1 sided) & 4.47530622243786e-10 \tabularnewline
Degrees of Freedom & 58 \tabularnewline
Number of Observations & 60 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18037&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]130645[/C][C]655426.466666667[/C][/ROW]
[ROW][C]Biased Variance[/C][C]922650495.7[/C][C]11693013458.5156[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]30375.1624802239[/C][C]108134.238141837[/C][/ROW]
[ROW][C]Covariance[/C][C]-2312485898.89830[/C][/ROW]
[ROW][C]Correlation[/C][C]-0.692305879536478[/C][/ROW]
[ROW][C]Determination[/C][C]0.479287430840776[/C][/ROW]
[ROW][C]T-Test[/C][C]-7.30656052608567[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]8.95061244487572e-10[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]4.47530622243786e-10[/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=18037&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18037&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
Mean130645655426.466666667
Biased Variance922650495.711693013458.5156
Biased Standard Deviation30375.1624802239108134.238141837
Covariance-2312485898.89830
Correlation-0.692305879536478
Determination0.479287430840776
T-Test-7.30656052608567
p-value (2 sided)8.95061244487572e-10
p-value (1 sided)4.47530622243786e-10
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')