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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 computationThu, 25 Nov 2010 19:51:28 +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/Nov/25/t1290720449u95xwmnq5aa4g4y.htm/, Retrieved Tue, 16 Apr 2024 20:39:47 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=101555, Retrieved Tue, 16 Apr 2024 20:39:47 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact99

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Linear Regression Graphical Model Validation] [Colombia Coffee -...] [2008-02-26 10:22:06] [74be16979710d4c4e7c6647856088456]
- RMPD  [Pearson Correlation] [correlatiecoëffi...] [2010-11-25 09:36:10] [96348ef82925ade81ab3c243141d80f1]
-    D      [Pearson Correlation] [correlatiecoëffi...] [2010-11-25 19:51:28] [03bcd8c83ef1a42b4029a16ba47a4880] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2,2
1,4
3,4
2
2,4
2,4
2,2
2,2
2,4
2,6
2,8
3,2
2,2
2
2,2
3
1,8
2,2
3,4
3,4
2,2
3,6
2,8
2
2,2
3
3
2,6
3,2
2,6
1,8
3,6
3,6
2,4
3,4
1,8
1,8
2,4
3,6
2,4
3,6
2,8
3
3,2
2
2,2
2,8
1,8
2,4
3,4
1
2,4
2,4
1,2
4,8
2,4
2,4
2,8
1,4
2,6
2,4
2,6
2,8
1,6
2,2
1,8
2,2
2,6
2
2,2
2,4
1,8
3
3,6
3
2,4
2,6
2,8
2
2,6
2,6
2,2
2,6
3,2
1,6
3,2
2,2
1,8
3,2
2,4
2,8
1,6
1,8
3
2,2
4,2
2,8
3,6
2,4
2,6
3
2,4
3,8
3
2,2
2,2
2
2,6
3
2,4
2,4
3,2
1,8
3,6
1,6
2,6
3,4
1,8
3
1,6
1,4
2,4
2,8
1,2
1,6
3,4
2
2,2
2,8
2,2
2,6
2,4
2,2
1,8
2,4
4
2,4
2,6
2,4
2,4
1,8
3
4,8
1,4
3,4
2,2
3,4
2,2
2,4
2,8
2,2
3,2
4,2
2,8
4
2,6
2,2
3
3,8
Dataseries Y:
Download CSV
Histogram 
3,5
2,75
1,5
3
2
2,5
2,5
2,75
4
2,75
3,25
3
2
3
2,75
1
2,25
2
2
3,5
3,75
4
2,25
3,5
2,75
2
2,25
2,25
2,25
2,25
2,5
4
2,75
2
2,25
4
2,75
4
3
3
3,5
2,25
2,5
2,25
2,5
3
3,5
3,5
2,5
3,5
4
2,25
2,5
1,5
2
3,25
2,5
2
1,75
3,75
2,25
2,5
3
3,25
2,5
2,75
2
2,25
3,25
2,75
2
2,25
2,25
3,75
2,25
2,5
3,5
3
3
2,75
3,5
1,5
3
2
3,5
2,75
2,5
3,5
3
2,5
3,5
1,25
2,75
2,5
2,25
2,5
4
3,25
2,25
2,5
2,5
1,75
2,25
2
3,5
3,5
2
2,25
3,5
3,5
2
2
2
1,75
1,5
2
1,5
2,75
3,5
2,75
2,75
2,75
3,5
2
5
2,75
2
2,75
2,5
3,5
2,75
2,25
2,25
2
2,5
3,25
3,25
3
2
3,25
3,5
3
3,5
3,75
3,25
4
2,25
2,25
2,25
2
1,75
4
2,75
2,25
2,75
2,25
3,5
3,25
4

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'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 & 1 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=101555&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=101555&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=101555&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean2.571069182389942.72327044025157
Biased Variance0.4718674103081370.48709999604446
Biased Standard Deviation0.6869260588361290.697925494622786
Covariance0.0131458482604888
Correlation0.0272476795321782
Determination0.000742436039888283
T-Test0.341539255036154
p-value (2 sided)0.733154352797264
p-value (1 sided)0.366577176398632
Degrees of Freedom157
Number of Observations159

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 2.57106918238994 & 2.72327044025157 \tabularnewline
Biased Variance & 0.471867410308137 & 0.48709999604446 \tabularnewline
Biased Standard Deviation & 0.686926058836129 & 0.697925494622786 \tabularnewline
Covariance & 0.0131458482604888 \tabularnewline
Correlation & 0.0272476795321782 \tabularnewline
Determination & 0.000742436039888283 \tabularnewline
T-Test & 0.341539255036154 \tabularnewline
p-value (2 sided) & 0.733154352797264 \tabularnewline
p-value (1 sided) & 0.366577176398632 \tabularnewline
Degrees of Freedom & 157 \tabularnewline
Number of Observations & 159 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=101555&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]2.57106918238994[/C][C]2.72327044025157[/C][/ROW]
[ROW][C]Biased Variance[/C][C]0.471867410308137[/C][C]0.48709999604446[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]0.686926058836129[/C][C]0.697925494622786[/C][/ROW]
[ROW][C]Covariance[/C][C]0.0131458482604888[/C][/ROW]
[ROW][C]Correlation[/C][C]0.0272476795321782[/C][/ROW]
[ROW][C]Determination[/C][C]0.000742436039888283[/C][/ROW]
[ROW][C]T-Test[/C][C]0.341539255036154[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.733154352797264[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.366577176398632[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]157[/C][/ROW]
[ROW][C]Number of Observations[/C][C]159[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=101555&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=101555&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
Mean2.571069182389942.72327044025157
Biased Variance0.4718674103081370.48709999604446
Biased Standard Deviation0.6869260588361290.697925494622786
Covariance0.0131458482604888
Correlation0.0272476795321782
Determination0.000742436039888283
T-Test0.341539255036154
p-value (2 sided)0.733154352797264
p-value (1 sided)0.366577176398632
Degrees of Freedom157
Number of Observations159


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')