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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, 21 Jan 2008 09:12:58 -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/21/t1200931925zj05u33wnn8pl9v.htm/, Retrieved Wed, 15 May 2024 08:51:00 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=8039, Retrieved Wed, 15 May 2024 08:51:00 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact261

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Pearson Correlation] [] [2008-01-21 16:12:58] [80e26e27d8b229550cb490fed3b7813c] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
88
67
74
65
70
67
69
27
62
54
81
68
78
64
66
49
83
76
64
68
58
64
64
91
95
64
45
72
59
72
65
0
61
65
66
53
61
86
86
68
91
70
0
75
50
82
82
60
50
0
73
84
64
68
73
63
0
62
61
43
70
90
11
86
72
72
59
0
63
78
49
70
94
80
90
85
91
101
0
87
83
60
78
81
88
63
64
44
72
60
84
25
85
61
54
37
81
74
68
0
79
95
87
0
73
71
49
69
75
89
18
57
67
72
67
66
69
33
65
40
54
78
68
72
73
22
54
82
74
60
81
87
75
73
77
48
66
83
69
65
56
76
54
98
87
75
Dataseries Y:
Download CSV
Histogram 
2
4
2
6
6
6
2
6
2
6
6
1
2
2
1
2
1
3
6
6
2
2
2
3
3
4
6
4
5
2
6
2
1
6
1
6
6
6
6
4
2
1
2
6
6
2
3
6
6
1
3
2
2
5
3
5
3
2
4
2
6
2
2
4
1
3
1
4
3
1
3
2
1
1
3
3
6
6
2
6
5
3
2
4
1
2
4
1
2
2
4
4
6
1
1
4
1
2
1
3
1
3
6
6
4
1
5
6
6
2
2
6
4
1
6
1
1
1
3
1
5
2
2
6
4
1
2
1
2
1
2
1
2
4
4
4
4
1
2
4
3
3
3
1
4
3

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=8039&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=8039&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=8039&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
Mean64.68493150684933.18493150684932
Biased Variance485.8185400638023.28771814599362
Biased Standard Deviation22.04129170588241.81320659219892
Covariance0.693150684931507
Correlation0.0172249698955197
Determination0.000296699587901559
T-Test0.206730309420205
p-value (2 sided)0.836512513023342
p-value (1 sided)0.418256256511671
Degrees of Freedom144
Number of Observations146

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 64.6849315068493 & 3.18493150684932 \tabularnewline
Biased Variance & 485.818540063802 & 3.28771814599362 \tabularnewline
Biased Standard Deviation & 22.0412917058824 & 1.81320659219892 \tabularnewline
Covariance & 0.693150684931507 \tabularnewline
Correlation & 0.0172249698955197 \tabularnewline
Determination & 0.000296699587901559 \tabularnewline
T-Test & 0.206730309420205 \tabularnewline
p-value (2 sided) & 0.836512513023342 \tabularnewline
p-value (1 sided) & 0.418256256511671 \tabularnewline
Degrees of Freedom & 144 \tabularnewline
Number of Observations & 146 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=8039&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]64.6849315068493[/C][C]3.18493150684932[/C][/ROW]
[ROW][C]Biased Variance[/C][C]485.818540063802[/C][C]3.28771814599362[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]22.0412917058824[/C][C]1.81320659219892[/C][/ROW]
[ROW][C]Covariance[/C][C]0.693150684931507[/C][/ROW]
[ROW][C]Correlation[/C][C]0.0172249698955197[/C][/ROW]
[ROW][C]Determination[/C][C]0.000296699587901559[/C][/ROW]
[ROW][C]T-Test[/C][C]0.206730309420205[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.836512513023342[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.418256256511671[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]144[/C][/ROW]
[ROW][C]Number of Observations[/C][C]146[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=8039&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=8039&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
Mean64.68493150684933.18493150684932
Biased Variance485.8185400638023.28771814599362
Biased Standard Deviation22.04129170588241.81320659219892
Covariance0.693150684931507
Correlation0.0172249698955197
Determination0.000296699587901559
T-Test0.206730309420205
p-value (2 sided)0.836512513023342
p-value (1 sided)0.418256256511671
Degrees of Freedom144
Number of Observations146


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')