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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, 22 Oct 2007 11:37:40 -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/2007/Oct/22/jrpsa6rekgg5asx1193078221.htm/, Retrieved Mon, 06 May 2024 00:49:22 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=1502, Retrieved Mon, 06 May 2024 00:49:22 +0000
QR Codes:

Original text written by user:De correlatiecoëffiënt bedraagt 0,96. Er is een positief verband tussen de gezondheidsindex en de index van hotels, cafés en restaurants.
IsPrivate?No (this computation is public)
User-defined keywordsTaak2.10G19
Estimated Impact194

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Pearson Correlation] [Relationship time...] [2007-10-22 18:37:40] [40a229849a2b804e343854d9b3fa1a24] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
106.48
106.83
107.14
107.94
108.46
108.81
108.92
108.99
109.16
109.22
109.43
109.23
109.93
110.09
110.33
110.11
110.35
110.09
110.44
110.39
110.62
110.43
110.46
110.55
110.94
111.56
111.82
111.73
111.57
111.85
112.06
112.2
112.47
112.15
112.36
112.32
112.67
113.02
113.05
113.5
113.67
113.65
114
114.03
114.08
114.49
114.48
114.25
114.68
115.28
115.9
115.87
116.09
116.29
116.76
116.78
116.65
116.46
116.82
116.91
Dataseries Y:
Download CSV
Histogram 
107,97
108,13
108,54
109,86
109,75
109,99
112,01
111,96
111,41
112,11
111,67
111,95
112,31
113,26
113,5
114,43
115,02
115,1
117,11
117,52
116,1
116,39
116,01
116,74
116,68
117,45
117,8
119,37
118,9
119,05
120,46
120,99
119,86
120,18
119,81
120,15
119,8
120,27
120,71
121,87
121,87
121,92
123,72
124,38
123,21
123,17
122,95
123,46
123,24
123,86
124,28
124,78
125,19
125,46
127,6
127,8
126,63
127,06
126,77
127,05

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=1502&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=1502&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=1502&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
Mean112.1135118.609833333333
Biased Variance7.7062027530.7750616388889
Biased Standard Deviation2.776004818079395.54752752484284
Covariance15.3478565254237
Correlation0.98000617157469
Determination0.960412096324483
T-Test37.5112515956497
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom58
Number of Observations60

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 112.1135 & 118.609833333333 \tabularnewline
Biased Variance & 7.70620275 & 30.7750616388889 \tabularnewline
Biased Standard Deviation & 2.77600481807939 & 5.54752752484284 \tabularnewline
Covariance & 15.3478565254237 \tabularnewline
Correlation & 0.98000617157469 \tabularnewline
Determination & 0.960412096324483 \tabularnewline
T-Test & 37.5112515956497 \tabularnewline
p-value (2 sided) & 0 \tabularnewline
p-value (1 sided) & 0 \tabularnewline
Degrees of Freedom & 58 \tabularnewline
Number of Observations & 60 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=1502&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]112.1135[/C][C]118.609833333333[/C][/ROW]
[ROW][C]Biased Variance[/C][C]7.70620275[/C][C]30.7750616388889[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]2.77600481807939[/C][C]5.54752752484284[/C][/ROW]
[ROW][C]Covariance[/C][C]15.3478565254237[/C][/ROW]
[ROW][C]Correlation[/C][C]0.98000617157469[/C][/ROW]
[ROW][C]Determination[/C][C]0.960412096324483[/C][/ROW]
[ROW][C]T-Test[/C][C]37.5112515956497[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]58[/C][/ROW]
[ROW][C]Number of Observations[/C][C]60[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=1502&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=1502&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
Mean112.1135118.609833333333
Biased Variance7.7062027530.7750616388889
Biased Standard Deviation2.776004818079395.54752752484284
Covariance15.3478565254237
Correlation0.98000617157469
Determination0.960412096324483
T-Test37.5112515956497
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom58
Number of Observations60


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')