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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 computationFri, 04 Jan 2008 16:25:31 -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/05/t1199489165a9xxus4esj786ez.htm/, Retrieved Mon, 13 May 2024 23:46:32 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=7773, Retrieved Mon, 13 May 2024 23:46:32 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordscorrelatie ind productie en afzetprijzen Tinne Van der Eycken
Estimated Impact280

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Pearson Correlation] [Paper: correlatie] [2008-01-04 23:25:31] [c8635c97647ba59406cb570a9fab7b02] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
86,5
104,1
110,9
114,5
112,2
96,4
92
102
99,7
102
98,9
87,4
94,4
109,3
116,4
101
105,5
97,8
95,5
113,7
103,7
100,8
113,8
84,6
95,3
110
107,5
107,6
116
96,9
97
108,1
101,9
107,2
110,2
78,7
96,5
115,2
104,7
109,1
108,4
95,5
97,8
115,1
96,2
112
111,8
82,5
100,8
116
116,3
116,6
112,9
100,9
104,1
117,4
103,3
111,6
115
92,6
105,2
Dataseries Y:
Download CSV
Histogram 
98,5
99,3
98
98,1
98
96,5
96,1
96,3
96,1
95,4
95,3
93,9
94
93,6
93,5
93,5
93,5
93
93,1
93,3
93,2
93,1
93,1
93,2
93
93,1
93,2
93,1
93,1
93,1
92,3
92,3
92,3
92,3
92,1
92,1
92,1
92
92
92,3
93,3
92,4
92,6
92,7
92,4
92,2
92,7
92,7
92,8
92,8
92,8
92,7
92,8
93,6
93,4
93,8
93,8
93,9
94
93,9
93,9

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=7773&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=7773&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7773&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
Mean103.88524590163993.7245901639344
Biased Variance86.4943724805163.02906745498522
Biased Standard Deviation9.300235076626611.74042163138281
Covariance-0.863797814207653
Correlation-0.0524910327621681
Determination0.00275530852043901
T-Test-0.403747881763338
p-value (2 sided)0.687857796373695
p-value (1 sided)0.343928898186847
Degrees of Freedom59
Number of Observations61

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 103.885245901639 & 93.7245901639344 \tabularnewline
Biased Variance & 86.494372480516 & 3.02906745498522 \tabularnewline
Biased Standard Deviation & 9.30023507662661 & 1.74042163138281 \tabularnewline
Covariance & -0.863797814207653 \tabularnewline
Correlation & -0.0524910327621681 \tabularnewline
Determination & 0.00275530852043901 \tabularnewline
T-Test & -0.403747881763338 \tabularnewline
p-value (2 sided) & 0.687857796373695 \tabularnewline
p-value (1 sided) & 0.343928898186847 \tabularnewline
Degrees of Freedom & 59 \tabularnewline
Number of Observations & 61 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7773&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]103.885245901639[/C][C]93.7245901639344[/C][/ROW]
[ROW][C]Biased Variance[/C][C]86.494372480516[/C][C]3.02906745498522[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]9.30023507662661[/C][C]1.74042163138281[/C][/ROW]
[ROW][C]Covariance[/C][C]-0.863797814207653[/C][/ROW]
[ROW][C]Correlation[/C][C]-0.0524910327621681[/C][/ROW]
[ROW][C]Determination[/C][C]0.00275530852043901[/C][/ROW]
[ROW][C]T-Test[/C][C]-0.403747881763338[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.687857796373695[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.343928898186847[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]59[/C][/ROW]
[ROW][C]Number of Observations[/C][C]61[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7773&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7773&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
Mean103.88524590163993.7245901639344
Biased Variance86.4943724805163.02906745498522
Biased Standard Deviation9.300235076626611.74042163138281
Covariance-0.863797814207653
Correlation-0.0524910327621681
Determination0.00275530852043901
T-Test-0.403747881763338
p-value (2 sided)0.687857796373695
p-value (1 sided)0.343928898186847
Degrees of Freedom59
Number of Observations61


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')