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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_correlation.wasp
Title produced by softwarePearson Correlation
Date of computationSun, 27 May 2012 19:49:20 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/May/27/t1338162600nf71flpsvmxdwjk.htm/, Retrieved Thu, 09 May 2024 02:04:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=167751, Retrieved Thu, 09 May 2024 02:04:01 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact84

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Pearson Correlation] [] [2012-05-27 23:49:20] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
8.5
5.5
7.5
5.5
8
9
4
7
7.5
7
8
4
7.5
8.5
5.5
7.5
8.5
7.5
8.5
6
7.5
8.5
4.5
6.5
5.5
8
6
6
7.5
7
6.5
7.5
6
6.5
4
8.5
Dataseries Y:
Download CSV
Histogram 
140
120
120
125
180
100
105
80
100
80
100
100
100
100
80
60
60
60
60
65
60
85
130
120
160
120
160
120
120
160
120
120
25
60
40
100

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net

\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 & 0 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167751&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]0 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167751&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167751&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 time0 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean6.86111111111111100.972222222222
Biased Variance1.911265432098771249.74922839506
Biased Standard Deviation1.3824852375699235.3517924353923
Covariance-0.432539682539683
Correlation-0.00860437955314814
Determination7.40353474946338e-05
T-Test-0.0501735806030127
p-value (2 sided)0.960277667941223
p-value (1 sided)0.480138833970612
Degrees of Freedom34
Number of Observations36

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 6.86111111111111 & 100.972222222222 \tabularnewline
Biased Variance & 1.91126543209877 & 1249.74922839506 \tabularnewline
Biased Standard Deviation & 1.38248523756992 & 35.3517924353923 \tabularnewline
Covariance & -0.432539682539683 \tabularnewline
Correlation & -0.00860437955314814 \tabularnewline
Determination & 7.40353474946338e-05 \tabularnewline
T-Test & -0.0501735806030127 \tabularnewline
p-value (2 sided) & 0.960277667941223 \tabularnewline
p-value (1 sided) & 0.480138833970612 \tabularnewline
Degrees of Freedom & 34 \tabularnewline
Number of Observations & 36 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167751&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]6.86111111111111[/C][C]100.972222222222[/C][/ROW]
[ROW][C]Biased Variance[/C][C]1.91126543209877[/C][C]1249.74922839506[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]1.38248523756992[/C][C]35.3517924353923[/C][/ROW]
[ROW][C]Covariance[/C][C]-0.432539682539683[/C][/ROW]
[ROW][C]Correlation[/C][C]-0.00860437955314814[/C][/ROW]
[ROW][C]Determination[/C][C]7.40353474946338e-05[/C][/ROW]
[ROW][C]T-Test[/C][C]-0.0501735806030127[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.960277667941223[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.480138833970612[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]34[/C][/ROW]
[ROW][C]Number of Observations[/C][C]36[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167751&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167751&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
Mean6.86111111111111100.972222222222
Biased Variance1.911265432098771249.74922839506
Biased Standard Deviation1.3824852375699235.3517924353923
Covariance-0.432539682539683
Correlation-0.00860437955314814
Determination7.40353474946338e-05
T-Test-0.0501735806030127
p-value (2 sided)0.960277667941223
p-value (1 sided)0.480138833970612
Degrees of Freedom34
Number of Observations36


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
Parameters (R input):
R code (references can be found in the software module):
x <- x[!is.na(y)]
y <- y[!is.na(y)]
y <- y[!is.na(x)]
x <- x[!is.na(x)]
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', na.rm = T)
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')