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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, 06 Jan 2008 08:30:51 -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/2008/Jan/06/t1199633443vh4l0smvvik5isk.htm/, Retrieved Sat, 04 May 2024 22:40:48 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=7813, Retrieved Sat, 04 May 2024 22:40:48 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsInvestigating associations werkloosheid VS Totale Industrie Q3
Estimated Impact219

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Central Tendency] [WS2 - Robustness ...] [2007-10-20 13:06:37] [5343e105a400b9e32bf6f011133bbaf4]
- RM D    [Pearson Correlation] [CVWS1WLG-TIQ3] [2008-01-06 15:30:51] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
8.6
8.6
8.5
8.4
8.3
8.3
8.2
8.2
8.1
8.0
8.0
7.9
7.8
7.8
7.8
7.8
7.8
7.8
7.8
7.8
7.8
7.9
7.9
7.9
8.0
8.0
8.0
8.1
8.1
8.2
8.3
8.3
8.3
8.4
8.5
8.5
8.6
8.6
8.7
8.6
8.7
8.7
8.6
8.6
8.7
8.7
8.7
8.7
8.7
8.7
8.8
8.8
8.8
8.8
8.8
8.8
8.8
8.8
8.9
8.9
8.9
8.9
9.0
8.9
8.9
8.9
8.8
8.8
8.8
8.8
8.7
8.6
8.7
8.6
8.6
8.4
8.4
8.3
8.1
8.1
8.0
8.0
7.9
7.8
7.7
7.6
7.6
7.5
7.5
7.4
Dataseries Y:
Download CSV
Histogram 
87.3
97.6
107.1
96.1
109.5
105.0
83.9
89.2
107.0
113.6
108.1
91.9
104.9
99.2
104.3
104.0
101.5
105.4
88.7
83.6
98.0
108.9
92.8
82.0
101.3
106.3
94.0
102.8
102.0
105.1
92.4
81.4
105.8
120.3
100.7
88.8
94.3
99.9
103.4
103.3
98.8
104.2
91.2
74.7
108.5
114.5
96.9
89.6
97.1
100.3
122.6
115.4
109.0
129.1
102.8
96.2
127.7
128.9
126.5
119.8
113.2
114.1
134.1
130.0
121.8
132.1
105.3
103.0
117.1
126.3
138.1
119.5
138.0
135.5
178.6
162.2
176.9
204.9
132.2
142.5
164.3
174.9
175.4
143.0
158.7
155.4
176.6
163.3
178.9
182.7

Tables (Output of Computation)





Summary of compuational 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 compuational 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=7813&T=0

[TABLE]
[ROW][C]Summary of compuational 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=7813&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7813&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 compuational 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
Mean8.34888888888889116.931111111111
Biased Variance0.180054320987654766.223254320988
Biased Standard Deviation0.4243280817806627.6807379656141
Covariance-2.31018976279650
Correlation-0.194498257104540
Determination0.0378295720167037
T-Test-1.86007753500717
p-value (2 sided)0.066215103453788
p-value (1 sided)0.033107551726894
Degrees of Freedom88
Number of Observations90

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 8.34888888888889 & 116.931111111111 \tabularnewline
Biased Variance & 0.180054320987654 & 766.223254320988 \tabularnewline
Biased Standard Deviation & 0.42432808178066 & 27.6807379656141 \tabularnewline
Covariance & -2.31018976279650 \tabularnewline
Correlation & -0.194498257104540 \tabularnewline
Determination & 0.0378295720167037 \tabularnewline
T-Test & -1.86007753500717 \tabularnewline
p-value (2 sided) & 0.066215103453788 \tabularnewline
p-value (1 sided) & 0.033107551726894 \tabularnewline
Degrees of Freedom & 88 \tabularnewline
Number of Observations & 90 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7813&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]8.34888888888889[/C][C]116.931111111111[/C][/ROW]
[ROW][C]Biased Variance[/C][C]0.180054320987654[/C][C]766.223254320988[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]0.42432808178066[/C][C]27.6807379656141[/C][/ROW]
[ROW][C]Covariance[/C][C]-2.31018976279650[/C][/ROW]
[ROW][C]Correlation[/C][C]-0.194498257104540[/C][/ROW]
[ROW][C]Determination[/C][C]0.0378295720167037[/C][/ROW]
[ROW][C]T-Test[/C][C]-1.86007753500717[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.066215103453788[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.033107551726894[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]88[/C][/ROW]
[ROW][C]Number of Observations[/C][C]90[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7813&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7813&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
Mean8.34888888888889116.931111111111
Biased Variance0.180054320987654766.223254320988
Biased Standard Deviation0.4243280817806627.6807379656141
Covariance-2.31018976279650
Correlation-0.194498257104540
Determination0.0378295720167037
T-Test-1.86007753500717
p-value (2 sided)0.066215103453788
p-value (1 sided)0.033107551726894
Degrees of Freedom88
Number of Observations90


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')