Repository of Reproducible Computations

Free Statistics

of Irreproducible Research!

Author's title

Author

*Unverified author*

R Software Module

rwasp_correlation.wasp

Title produced by software

Pearson Correlation

Date of computation

Tue, 11 Dec 2007 03:58:55 -0700

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2007/Dec/11/t1197369882pg8s25oz0zgi2pg.htm/, Retrieved Mon, 29 Apr 2024 07:00:56 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=3099, Retrieved Mon, 29 Apr 2024 07:00:56 +0000

QR Codes:

Paste this QR Code to cite your computation.

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

234

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [Pearson Correlation] [Paper Werklooshei...] [2007-12-11 10:58:55] [52c41ae5b11545a88aa57081ae5e5ffc] [Current]

Feedback Forum

Post a new message

Dataseries X:

Download CSV

Histogram

Boxplots

6.4
6.3
6
5.3
5.2
5.1
5.4
5.8
5.6
5.6
5.4
5.4
5.5
5.5
5.3
5.7
5.6
5.5
5.6
5.9
6
7
6.6
6.6
6.3
6.3
6.3
6.3
6.2
6.2
6.3
6.4
6.4
7.8
7.7
7.7
7.7
7.7
7.6
7.5
7.4
7.4
7.5
7.6
7.6
8.1
7.8
8
7.9
7.9
7.8
6.7
6.6
6.6
7.7
7.9
8
7.7
7.5
7.6
7.8
7.8
7.7
7.4
7.5
7.2
7.5
7.6
7.6
7.8
7.7
7.7
8.2
8.2
8.1
7.8
7.8
7.7
6.7
6.7
6.7
7.2
6.9
6.8
7.2
7.1
6.9
6.9
6.7
6.5
6.6
6.6
6.5

Dataseries Y:

Download CSV

Histogram

8.7
8.5
8.2
8.3
8
8.1
8.7
9.3
8.9
8.8
8.4
8.4
7.3
7.2
7
7
6.9
6.9
7.1
7.5
7.4
8.9
8.3
8.3
9
8.9
8.8
7.8
7.8
7.8
9.2
9.3
9.2
8.6
8.5
8.5
9
9
8.8
8
7.9
8.1
9.3
9.4
9.4
9.3
9
9.1
9.7
9.7
9.6
8.3
8.2
8.4
10.6
10.9
10.9
9.6
9.3
9.3
9.6
9.5
9.5
9
8.9
9
10.1
10.2
10.2
9.5
9.3
9.3
9.4
9.3
9.1
9
8.9
9
9.8
10
9.8
9.4
9
8.9
9.3
9.1
8.8
8.9
8.7
8.6
9.1
9.3
8.9

Summary of compuational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 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=3099&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=3099&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=3099&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 compuational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Pearson Product Moment Correlation - Ungrouped Data
Statistic	Variable X	Variable Y
Mean	6.89354838709677	8.84623655913978
Biased Variance	0.765979882067291	0.698184761244074
Biased Standard Deviation	0.875202766258934	0.835574509690234
Covariance	0.482366760168303
Correlation	0.652511826264627
Determination	0.425771683415199
T-Test	8.21422852610804
p-value (2 sided)	1.37689859514012e-12
p-value (1 sided)	6.8844929757006e-13
Degrees of Freedom	91
Number of Observations	93

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 6.89354838709677 & 8.84623655913978 \tabularnewline
Biased Variance & 0.765979882067291 & 0.698184761244074 \tabularnewline
Biased Standard Deviation & 0.875202766258934 & 0.835574509690234 \tabularnewline
Covariance & 0.482366760168303 \tabularnewline
Correlation & 0.652511826264627 \tabularnewline
Determination & 0.425771683415199 \tabularnewline
T-Test & 8.21422852610804 \tabularnewline
p-value (2 sided) & 1.37689859514012e-12 \tabularnewline
p-value (1 sided) & 6.8844929757006e-13 \tabularnewline
Degrees of Freedom & 91 \tabularnewline
Number of Observations & 93 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=3099&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]6.89354838709677[/C][C]8.84623655913978[/C][/ROW]
[ROW][C]Biased Variance[/C][C]0.765979882067291[/C][C]0.698184761244074[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]0.875202766258934[/C][C]0.835574509690234[/C][/ROW]
[ROW][C]Covariance[/C][C]0.482366760168303[/C][/ROW]
[ROW][C]Correlation[/C][C]0.652511826264627[/C][/ROW]
[ROW][C]Determination[/C][C]0.425771683415199[/C][/ROW]
[ROW][C]T-Test[/C][C]8.21422852610804[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]1.37689859514012e-12[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]6.8844929757006e-13[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]91[/C][/ROW]
[ROW][C]Number of Observations[/C][C]93[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=3099&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=3099&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	6.89354838709677	8.84623655913978
Biased Variance	0.765979882067291	0.698184761244074
Biased Standard Deviation	0.875202766258934	0.835574509690234
Covariance	0.482366760168303
Correlation	0.652511826264627
Determination	0.425771683415199
T-Test	8.21422852610804
p-value (2 sided)	1.37689859514012e-12
p-value (1 sided)	6.8844929757006e-13
Degrees of Freedom	91
Number of Observations	93

Figure 1

PNG link

Postscript link

PDF link

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code