## Free Statistics

of Irreproducible Research!

Author's title
Author*Unverified author*
R Software Modulerwasp_correlation.wasp
Title produced by softwarePearson Correlation
Date of computationWed, 03 Mar 2010 13:24:47 -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/Mar/03/t1267647966uct940nwk9ojwz4.htm/, Retrieved Tue, 21 Mar 2023 01:50:04 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=73957, Retrieved Tue, 21 Mar 2023 01:50:04 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact113
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Pearson Correlation] [Reliability] [2010-03-03 20:24:47] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
12
17
16
16
11
Dataseries Y:
23
24
25
24
17

 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=73957&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=73957&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=73957&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 14.4 22.6 Biased Variance 5.84 8.24 Biased Standard Deviation 2.41660919471891 2.87054001888146 Covariance 6.95 Correlation 0.801502280121875 Determination 0.642405905040564 T-Test 2.32150819058215 p-value (2 sided) 0.102942300196019 p-value (1 sided) 0.0514711500980094 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 & 14.4 & 22.6 \tabularnewline
Biased Variance & 5.84 & 8.24 \tabularnewline
Biased Standard Deviation & 2.41660919471891 & 2.87054001888146 \tabularnewline
Covariance & 6.95 \tabularnewline
Correlation & 0.801502280121875 \tabularnewline
Determination & 0.642405905040564 \tabularnewline
T-Test & 2.32150819058215 \tabularnewline
p-value (2 sided) & 0.102942300196019 \tabularnewline
p-value (1 sided) & 0.0514711500980094 \tabularnewline
Degrees of Freedom & 3 \tabularnewline
Number of Observations & 5 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=73957&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]14.4[/C][C]22.6[/C][/ROW]
[ROW][C]Biased Variance[/C][C]5.84[/C][C]8.24[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]2.41660919471891[/C][C]2.87054001888146[/C][/ROW]
[ROW][C]Covariance[/C][C]6.95[/C][/ROW]
[ROW][C]Correlation[/C][C]0.801502280121875[/C][/ROW]
[ROW][C]Determination[/C][C]0.642405905040564[/C][/ROW]
[ROW][C]T-Test[/C][C]2.32150819058215[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.102942300196019[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.0514711500980094[/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=73957&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=73957&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 14.4 22.6 Biased Variance 5.84 8.24 Biased Standard Deviation 2.41660919471891 2.87054001888146 Covariance 6.95 Correlation 0.801502280121875 Determination 0.642405905040564 T-Test 2.32150819058215 p-value (2 sided) 0.102942300196019 p-value (1 sided) 0.0514711500980094 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')