## Free Statistics

of Irreproducible Research!

Author's title
Author*Unverified author*
R Software Modulerwasp_correlation.wasp
Title produced by softwarePearson Correlation
Date of computationMon, 22 Feb 2010 12:42:42 -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/2010/Feb/22/t1266867906v1egq65ie8jciap.htm/, Retrieved Sun, 05 Feb 2023 14:10:42 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=73334, Retrieved Sun, 05 Feb 2023 14:10:42 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact101
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Pearson Correlation] [Feminism Scale] [2010-02-22 19:42:42] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
4
4
12
17
20
Dataseries Y:
18
18
20
21
22

 Summary of computational 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 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=73334&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=73334&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=73334&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 1 seconds R Server 'Gwilym Jenkins' @ 72.249.127.135

 Pearson Product Moment Correlation - Ungrouped Data Statistic Variable X Variable Y Mean 11.4 19.8 Biased Variance 43.04 2.56 Biased Standard Deviation 6.56048778674269 1.6 Covariance 13.1 Correlation 0.998401370891371 Determination 0.99680529739777 T-Test 30.5950085055476 p-value (2 sided) 7.67098729606008e-05 p-value (1 sided) 3.83549364803004e-05 Degrees of Freedom 3 Number of Observations 5

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 11.4 & 19.8 \tabularnewline
Biased Variance & 43.04 & 2.56 \tabularnewline
Biased Standard Deviation & 6.56048778674269 & 1.6 \tabularnewline
Covariance & 13.1 \tabularnewline
Correlation & 0.998401370891371 \tabularnewline
Determination & 0.99680529739777 \tabularnewline
T-Test & 30.5950085055476 \tabularnewline
p-value (2 sided) & 7.67098729606008e-05 \tabularnewline
p-value (1 sided) & 3.83549364803004e-05 \tabularnewline
Degrees of Freedom & 3 \tabularnewline
Number of Observations & 5 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=73334&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]11.4[/C][C]19.8[/C][/ROW]
[ROW][C]Biased Variance[/C][C]43.04[/C][C]2.56[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]6.56048778674269[/C][C]1.6[/C][/ROW]
[ROW][C]Covariance[/C][C]13.1[/C][/ROW]
[ROW][C]Correlation[/C][C]0.998401370891371[/C][/ROW]
[ROW][C]Determination[/C][C]0.99680529739777[/C][/ROW]
[ROW][C]T-Test[/C][C]30.5950085055476[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]7.67098729606008e-05[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]3.83549364803004e-05[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]3[/C][/ROW]
[ROW][C]Number of Observations[/C][C]5[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=73334&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=73334&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 11.4 19.8 Biased Variance 43.04 2.56 Biased Standard Deviation 6.56048778674269 1.6 Covariance 13.1 Correlation 0.998401370891371 Determination 0.99680529739777 T-Test 30.5950085055476 p-value (2 sided) 7.67098729606008e-05 p-value (1 sided) 3.83549364803004e-05 Degrees of Freedom 3 Number of Observations 5

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)/lxvarx = var(x)*makebiasedvary = var(y)*makebiasedcorxy <- 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')