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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 10:13:09 -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/t12245192398qndisel7ksu80l.htm/, Retrieved Sat, 18 May 2024 01:25:47 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=17583, Retrieved Sat, 18 May 2024 01:25:47 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact128

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Harrell-Davis Quantiles] [Q7 95% confidence...] [2007-10-20 15:02:46] [b731da8b544846036771bbf9bf2f34ce]
- RMPD    [Pearson Correlation] [Correlatie: Vertr...] [2008-10-20 16:13:09] [e7b118d7688fea522247297d6fc6c452] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
0,4
5,9
6,5
12,8
4,2
-3,3
-12,5
-16,3
-10,5
-11,8
-11,4
-17,7
-17,3
-18,6
-17,9
-21,4
-19,4
-15,5
-7,7
-0,7
-1,6
1,4
0,7
9,5
1,4
4,1
6,6
18,4
16,9
9,2
-4,3
-5,9
-7,7
-5,4
-2,3
-4,8
2,3
-5,2
-10
-17,1
-14,4
-3,9
3,7
6,5
0,9
-4,1
-7
-12,2
-2,5
4,4
13,7
12,3
13,4
2,2
1,7
-7,2
-4,8
-2,9
-2,4
-2,5
-5,3
Dataseries Y:
Download CSV
Histogram 
17
19
20
18
19
18
17
15
15
15
14
10
9
5
0
7
9
8
5
7
13
3
12
12
15
17
15
14
12
18
14
16
16
12
11
12
12
15
16
13
7
7
7
8
4
10
9
13
17
16
13
14
16
16
16
16
16
20
19
10
17

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 2 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=17583&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=17583&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=17583&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 time2 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean-2.8918032786885212.8852459016393
Biased Variance91.879113141628620.6917495296963
Biased Standard Deviation9.585359312077384.54881847623054
Covariance15.040956284153
Correlation0.339304688502456
Determination0.115127671639749
T-Test2.7706110343422
p-value (2 sided)0.0074708174357545
p-value (1 sided)0.00373540871787725
Degrees of Freedom59
Number of Observations61

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & -2.89180327868852 & 12.8852459016393 \tabularnewline
Biased Variance & 91.8791131416286 & 20.6917495296963 \tabularnewline
Biased Standard Deviation & 9.58535931207738 & 4.54881847623054 \tabularnewline
Covariance & 15.040956284153 \tabularnewline
Correlation & 0.339304688502456 \tabularnewline
Determination & 0.115127671639749 \tabularnewline
T-Test & 2.7706110343422 \tabularnewline
p-value (2 sided) & 0.0074708174357545 \tabularnewline
p-value (1 sided) & 0.00373540871787725 \tabularnewline
Degrees of Freedom & 59 \tabularnewline
Number of Observations & 61 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=17583&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]-2.89180327868852[/C][C]12.8852459016393[/C][/ROW]
[ROW][C]Biased Variance[/C][C]91.8791131416286[/C][C]20.6917495296963[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]9.58535931207738[/C][C]4.54881847623054[/C][/ROW]
[ROW][C]Covariance[/C][C]15.040956284153[/C][/ROW]
[ROW][C]Correlation[/C][C]0.339304688502456[/C][/ROW]
[ROW][C]Determination[/C][C]0.115127671639749[/C][/ROW]
[ROW][C]T-Test[/C][C]2.7706110343422[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.0074708174357545[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.00373540871787725[/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=17583&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=17583&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
Mean-2.8918032786885212.8852459016393
Biased Variance91.879113141628620.6917495296963
Biased Standard Deviation9.585359312077384.54881847623054
Covariance15.040956284153
Correlation0.339304688502456
Determination0.115127671639749
T-Test2.7706110343422
p-value (2 sided)0.0074708174357545
p-value (1 sided)0.00373540871787725
Degrees of Freedom59
Number of Observations61


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')