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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_correlation.wasp
Title produced by softwarePearson Correlation
Date of computationMon, 13 Dec 2010 18:44:35 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/13/t1292265827lb9cr2vfhsc6us1.htm/, Retrieved Mon, 06 May 2024 14:25:37 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=109067, Retrieved Mon, 06 May 2024 14:25:37 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact131

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [beschrijving] [2009-12-11 09:21:01] [517ac0676608e46c618c738721d88e41]
- RMPD  [Pearson Correlation] [Pearson Correlation] [2009-12-11 12:41:44] [517ac0676608e46c618c738721d88e41]
- R PD      [Pearson Correlation] [] [2010-12-13 18:44:35] [5f45e5b827d1a020c3ecc9d930121b4e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
5
4
5
6
6
6
7
8
7
8
7
8
8
9
9
8
9
9
10
11
12
13
13
13
14
14
15
15
16
16
17
18
19
20
22
20
22
25
24
25
28
26
27
26
25
27
28
30
31
32
34
34
33
32
34
36
37
40
38
38
36
40
40
42
44
45
47
49
47
49
52
50
50
57
58
58
58
61
61
64
68
40
34
46
36
34
45
55
50
56
72
76
78
77
90
88
97
93
84
67
72
75
71
75
90
78
73
62
65
61
58
33
39
56
79
82
79
73
87
85
83
82
83
92
95
97
87
84
84
89
103
106
109
106
105
115
120
124
121
131
139
133
119
123
120
128
134
126
115
106
99
100
99
99
100
100
108
109
115
114
108
113
118
122
118
121
118
121
121
112
119
116
110
111
106
108
Dataseries Y:
Download CSV
Histogram 
8,7
10,6
9,0
9,2
8,3
7,6
9,0
8,2
9,0
8,7
9,1
8,0
7,7
9,9
8,4
9,0
8,8
8,3
8,8
9,8
8,1
8,9
7,4
8,9
9,8
8,5
9,7
7,7
8,8
9,6
9,6
7,8
9,4
9,4
8,8
10,1
9,0
8,0
7,8
10,0
8,9
8,9
8,6
9,0
9,3
8,9
7,0
9,3
8,4
9,0
8,9
9,4
8,3
8,8
7,5
7,5
8,2
8,1
8,2
8,4
9,3
9,2
8,3
8,6
9,2
9,5
9,2
9,4
8,8
8,4
9,3
9,1
8,9
9,3
8,9
8,8
8,6
9,7
10,4
9,7
10,0
9,8
9,3
9,5
8,4
9,8
8,6
9,7
10,5
8,6
9,3
9,1
9,1
9,9
9,3
9,7
8,9
10,0
9,1
9,7
9,1
10,3
9,7
9,6
9,8
9,8
9,8
8,7
9,1
8,9
10,1
9,5
10,3
9,3
10,2
10,1
10,3
9,8
9,8
9,3
9,9
9,3
9,2
8,4
10,1
9,6
10,6
10,0
10,4
8,6
8,4
9,6
9,1
10,0
10,0
9,3
9,6
9,6
9,9
9,3
9,7
10,0
9,9
10,4
9,8
9,4
9,0
9,4
9,7
10,5
10,5
9,9
8,9
9,4
9,2
10,6
11,3
11,2
10,0
10,6
10,1
11,1
10,9
9,1
10,8
10,6
11,1
11,2
10,7
11,2
11,1
10,7
11,0
11,4
11,5
10,9

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'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=109067&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=109067&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109067&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'George Udny Yule' @ 72.249.76.132






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean62.32954545454559.38693181818182
Biased Variance1555.414127066120.782158768078512
Biased Standard Deviation39.43873891323250.88439740393022
Covariance20.9323311688312
Correlation0.596722617684531
Determination0.356077882456280
T-Test9.8091291393758
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom174
Number of Observations176

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 62.3295454545455 & 9.38693181818182 \tabularnewline
Biased Variance & 1555.41412706612 & 0.782158768078512 \tabularnewline
Biased Standard Deviation & 39.4387389132325 & 0.88439740393022 \tabularnewline
Covariance & 20.9323311688312 \tabularnewline
Correlation & 0.596722617684531 \tabularnewline
Determination & 0.356077882456280 \tabularnewline
T-Test & 9.8091291393758 \tabularnewline
p-value (2 sided) & 0 \tabularnewline
p-value (1 sided) & 0 \tabularnewline
Degrees of Freedom & 174 \tabularnewline
Number of Observations & 176 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=109067&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]62.3295454545455[/C][C]9.38693181818182[/C][/ROW]
[ROW][C]Biased Variance[/C][C]1555.41412706612[/C][C]0.782158768078512[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]39.4387389132325[/C][C]0.88439740393022[/C][/ROW]
[ROW][C]Covariance[/C][C]20.9323311688312[/C][/ROW]
[ROW][C]Correlation[/C][C]0.596722617684531[/C][/ROW]
[ROW][C]Determination[/C][C]0.356077882456280[/C][/ROW]
[ROW][C]T-Test[/C][C]9.8091291393758[/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]174[/C][/ROW]
[ROW][C]Number of Observations[/C][C]176[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=109067&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109067&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
Mean62.32954545454559.38693181818182
Biased Variance1555.414127066120.782158768078512
Biased Standard Deviation39.43873891323250.88439740393022
Covariance20.9323311688312
Correlation0.596722617684531
Determination0.356077882456280
T-Test9.8091291393758
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom174
Number of Observations176


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')