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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 computationTue, 14 Dec 2010 20:42:01 +0000
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/Dec/14/t12923599120m1pe4s4pzisvwn.htm/, Retrieved Thu, 02 May 2024 20:51:37 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=110182, Retrieved Thu, 02 May 2024 20:51:37 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact138

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Kendall tau Correlation Matrix] [] [2010-12-05 17:44:33] [b98453cac15ba1066b407e146608df68]
F   PD  [Kendall tau Correlation Matrix] [Pearson Correlati...] [2010-12-12 08:38:31] [62f7c80c4d96454bbd2b2b026ea9aad9]
- RM D    [Kendall tau Correlation Matrix] [workshop 10 pearson] [2010-12-13 10:41:59] [6501d0caa85bd8c4ed4905f18a69a94d]
- RMPD        [Pearson Correlation] [correlatie] [2010-12-14 20:42:01] [5f761c4a622da19727fd2adf71158b48] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1
2547
10.55
0.023
160
3.3
52.16
0.425
465
0.075
3
0.785
0.2
27.66
0.12
85
0.101
1.04
521
0.005
0.01
62
0.023
0.048
1.7
3.5
0.48
10
1.62
192
2.5
0.28
4.235
6.8
0.75
3.6
55.5
0.9
2
Dataseries Y:
Download CSV
Histogram 
6.3
2.1
9.1
15.8
5.2
10.9
8.3
11
3.2
6.3
8.6
6.6
9.5
3.3
11
4.7
10.4
7.4
2.1
7.7
17.9
6.1
11.9
10.8
13.8
14.3
15.2
10
11.9
6.5
7.5
10.6
7.4
8.4
5.7
4.9
3.2
11
4.9

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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=110182&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=110182&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110182&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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean108.3689743589748.5
Biased Variance169161.67736530714.4671794871795
Biased Standard Deviation411.2926906295653.80357456705919
Covariance-628.799739473684
Correlation-0.391641239571797
Determination0.153382860533334
T-Test-2.58908167168639
p-value (2 sided)0.0136781229071259
p-value (1 sided)0.00683906145356296
Degrees of Freedom37
Number of Observations39

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 108.368974358974 & 8.5 \tabularnewline
Biased Variance & 169161.677365307 & 14.4671794871795 \tabularnewline
Biased Standard Deviation & 411.292690629565 & 3.80357456705919 \tabularnewline
Covariance & -628.799739473684 \tabularnewline
Correlation & -0.391641239571797 \tabularnewline
Determination & 0.153382860533334 \tabularnewline
T-Test & -2.58908167168639 \tabularnewline
p-value (2 sided) & 0.0136781229071259 \tabularnewline
p-value (1 sided) & 0.00683906145356296 \tabularnewline
Degrees of Freedom & 37 \tabularnewline
Number of Observations & 39 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=110182&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]108.368974358974[/C][C]8.5[/C][/ROW]
[ROW][C]Biased Variance[/C][C]169161.677365307[/C][C]14.4671794871795[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]411.292690629565[/C][C]3.80357456705919[/C][/ROW]
[ROW][C]Covariance[/C][C]-628.799739473684[/C][/ROW]
[ROW][C]Correlation[/C][C]-0.391641239571797[/C][/ROW]
[ROW][C]Determination[/C][C]0.153382860533334[/C][/ROW]
[ROW][C]T-Test[/C][C]-2.58908167168639[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.0136781229071259[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.00683906145356296[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]37[/C][/ROW]
[ROW][C]Number of Observations[/C][C]39[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=110182&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110182&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
Mean108.3689743589748.5
Biased Variance169161.67736530714.4671794871795
Biased Standard Deviation411.2926906295653.80357456705919
Covariance-628.799739473684
Correlation-0.391641239571797
Determination0.153382860533334
T-Test-2.58908167168639
p-value (2 sided)0.0136781229071259
p-value (1 sided)0.00683906145356296
Degrees of Freedom37
Number of Observations39


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')