## Free Statistics

of Irreproducible Research!

Author's title
Author*Unverified author*
R Software Modulerwasp_correlation.wasp
Title produced by softwarePearson Correlation
Date of computationFri, 25 Sep 2009 08:22:03 -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/2009/Sep/25/t12538907678gmtlk03fjg4n83.htm/, Retrieved Wed, 17 Jul 2019 05:27:34 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=43016, Retrieved Wed, 17 Jul 2019 05:27:34 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact283
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Pearson Correlation] [55 svenska kommuner] [2009-09-25 14:22:03] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
24.3
3.5
3.4
3.5
4.4
4.9
3.1
2.9
4.6
15.2
11.2
5
5.7
4.9
5.2
6.2
18.9
2.2
7.1
4.3
6.6
4.2
9.2
6.3
4.4
4.7
6.7
6
3.2
1.7
4.4
5
4.3
5.1
8
4.9
14.4
5.8
4.7
14.7
18.1
2.5
2.6
3.7
15.7
6.9
23.6
4.8
5.5
14.6
6.6
8.5
7.3
17.4
17.7
Dataseries Y:
32.4
8.4
11.3
7
10.9
11.1
13.9
9.4
11
30
29.5
14.9
10.6
12.9
10
13.1
30.4
4.9
17.7
12.9
18.6
17
15.2
13.7
14.8
12.6
14.3
21.5
9
6.6
11.6
10.1
5.48
6.5
16.9
11.1
24
17.5
10.8
30
29.8
6.1
7.5
10.3
28
15.9
51.4
16.8
11.7
41.4
22.1
18
13.1
32.7
25.5

 Summary of computational transaction Raw Input view raw input (R code) Raw Output view raw output of R engine Computing time 2 seconds R Server 'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=43016&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=43016&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=43016&T=0

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

 Summary of computational transaction Raw Input view raw input (R code) Raw Output view raw output of R engine Computing time 2 seconds R Server 'Sir Ronald Aylmer Fisher' @ 193.190.124.24

 Pearson Product Moment Correlation - Ungrouped Data Statistic Variable X Variable Y Mean 7.64181818181818 16.7250909090909 Biased Variance 30.2849785123967 90.3526140826446 Biased Standard Deviation 5.50317894606351 9.50539920690576 Covariance 48.0118202020202 Correlation 0.901146178666652 Determination 0.81206443532551 T-Test 15.1331275869907 p-value (2 sided) 0 p-value (1 sided) 0 Degrees of Freedom 53 Number of Observations 55

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 7.64181818181818 & 16.7250909090909 \tabularnewline
Biased Variance & 30.2849785123967 & 90.3526140826446 \tabularnewline
Biased Standard Deviation & 5.50317894606351 & 9.50539920690576 \tabularnewline
Covariance & 48.0118202020202 \tabularnewline
Correlation & 0.901146178666652 \tabularnewline
Determination & 0.81206443532551 \tabularnewline
T-Test & 15.1331275869907 \tabularnewline
p-value (2 sided) & 0 \tabularnewline
p-value (1 sided) & 0 \tabularnewline
Degrees of Freedom & 53 \tabularnewline
Number of Observations & 55 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=43016&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]7.64181818181818[/C][C]16.7250909090909[/C][/ROW]
[ROW][C]Biased Variance[/C][C]30.2849785123967[/C][C]90.3526140826446[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]5.50317894606351[/C][C]9.50539920690576[/C][/ROW]
[ROW][C]Covariance[/C][C]48.0118202020202[/C][/ROW]
[ROW][C]Correlation[/C][C]0.901146178666652[/C][/ROW]
[ROW][C]Determination[/C][C]0.81206443532551[/C][/ROW]
[ROW][C]T-Test[/C][C]15.1331275869907[/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]53[/C][/ROW]
[ROW][C]Number of Observations[/C][C]55[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=43016&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=43016&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

 Pearson Product Moment Correlation - Ungrouped Data Statistic Variable X Variable Y Mean 7.64181818181818 16.7250909090909 Biased Variance 30.2849785123967 90.3526140826446 Biased Standard Deviation 5.50317894606351 9.50539920690576 Covariance 48.0118202020202 Correlation 0.901146178666652 Determination 0.81206443532551 T-Test 15.1331275869907 p-value (2 sided) 0 p-value (1 sided) 0 Degrees of Freedom 53 Number of Observations 55

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,(p2 <- as.matrix(corxy\$p.value)[1,1]),2)
a<-table.row.end(a)
a<-table.row.start(a)