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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 computationMon, 02 Jun 2014 11:09:00 -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/2014/Jun/02/t1401721771840ip85juba15f7.htm/, Retrieved Tue, 14 May 2024 14:00:32 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=235221, Retrieved Tue, 14 May 2024 14:00:32 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact196

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Pearson Correlation] [Median Weeks unem...] [2014-06-02 15:09:00] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
0
1
1
1
1
1
1
1
1
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
0
0
0
0
0
0
Dataseries Y:
Download CSV
Histogram 
4.6
4.0
4.1
6.5
6.7
5.0
5.0
8.7
8.2
7.3
6.1
5.4
5.8
7.4
8.1
10.9
8.2
6.9
6.7
7.1
5.9
5.4
4.8
6.6
8.5
8.4
9.1
8.3
8.6
8.3
6.7
6.2
6.1
5.9
8.9
10.2
9.5
9.0
8.4
8.6
9.4
13.1
22.1
20.9
19.2
17.3
16.0

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' @ 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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235221&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' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235221&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235221&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' @ jenkins.wessa.net






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean0.5957446808510648.59787234042553
Biased Variance0.24083295608872816.8870167496605
Biased Standard Deviation0.4907473444540764.1093815531854
Covariance-0.785661424606846
Correlation-0.381294884351587
Determination0.14538578883269
T-Test-2.76682811647186
p-value (2 sided)0.00818452232670171
p-value (1 sided)0.00409226116335086
Degrees of Freedom45
Number of Observations47

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 0.595744680851064 & 8.59787234042553 \tabularnewline
Biased Variance & 0.240832956088728 & 16.8870167496605 \tabularnewline
Biased Standard Deviation & 0.490747344454076 & 4.1093815531854 \tabularnewline
Covariance & -0.785661424606846 \tabularnewline
Correlation & -0.381294884351587 \tabularnewline
Determination & 0.14538578883269 \tabularnewline
T-Test & -2.76682811647186 \tabularnewline
p-value (2 sided) & 0.00818452232670171 \tabularnewline
p-value (1 sided) & 0.00409226116335086 \tabularnewline
Degrees of Freedom & 45 \tabularnewline
Number of Observations & 47 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235221&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]0.595744680851064[/C][C]8.59787234042553[/C][/ROW]
[ROW][C]Biased Variance[/C][C]0.240832956088728[/C][C]16.8870167496605[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]0.490747344454076[/C][C]4.1093815531854[/C][/ROW]
[ROW][C]Covariance[/C][C]-0.785661424606846[/C][/ROW]
[ROW][C]Correlation[/C][C]-0.381294884351587[/C][/ROW]
[ROW][C]Determination[/C][C]0.14538578883269[/C][/ROW]
[ROW][C]T-Test[/C][C]-2.76682811647186[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.00818452232670171[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.00409226116335086[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]45[/C][/ROW]
[ROW][C]Number of Observations[/C][C]47[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235221&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235221&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
Mean0.5957446808510648.59787234042553
Biased Variance0.24083295608872816.8870167496605
Biased Standard Deviation0.4907473444540764.1093815531854
Covariance-0.785661424606846
Correlation-0.381294884351587
Determination0.14538578883269
T-Test-2.76682811647186
p-value (2 sided)0.00818452232670171
p-value (1 sided)0.00409226116335086
Degrees of Freedom45
Number of Observations47


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')