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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 computationThu, 02 Dec 2010 13:37:33 +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/02/t12912970397sdfsa7evxvfcrj.htm/, Retrieved Sun, 05 May 2024 19:38:18 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=104286, Retrieved Sun, 05 May 2024 19:38:18 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact134

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Explorative Data Analysis] [time effect in su...] [2010-11-17 08:55:33] [b98453cac15ba1066b407e146608df68]
-    D  [Univariate Explorative Data Analysis] [] [2010-12-01 15:42:42] [9315c5fa5df29386545a575306c6a452]
- RMPD      [Pearson Correlation] [] [2010-12-02 13:37:33] [d60c7e59f17bc9c64f9430a5689ff254] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1081
309
458
588
302
156
481
353
452
109
115
110
239
247
505
159
109
519
248
373
119
84
102
295
105
64
282
182
37
361
28
85
45
49
22
155
91
81
79
145
855
61
226
105
62
25
217
322
84
33
108
150
115
162
158
97
9
66
107
101
47
38
34
87
79
947
74
53
94
63
58
49
34
11
35
20
47
43
117
171
26
75
59
18
15
72
86
14
64
11
52
41
99
75
45
43
8
198
22
11
33
23
80
18
40
23
60
20
61
36
30
47
71
14
9
39
26
21
16
69
92
14
107
29
37
23
0
7
28
0
8
63
0
3
5
9
13
2
5
0
14
0
15
3
15
11
0
6
2
1
10
73
0
11
3
0
0
2
7
0
0
0
0
27
51
3
0
19
393
0
0
4
0
9
0
10
152
1
0
0
34
10
57
52
5
14
29
5
5
0
4
0
6
0
2
0
91
0
0
20
0
0
0
27
17
2
4
0
32
31
0
0
32
20
7
0
8
28
0
29
4
0
2
21
2
26
14
0
4
0
9
10
0
17
0
1
0
6
0
0
0
3
0
8
4
0
0
11
0
0
9
0
2
73
94
0
8
35
0
0
0
0
12
15
0
0
0
11
0
6
0
0
0
12
0
30
33
0
117
28
0
0
72
0
13
0
6
4
0
62
0
24
21
0
14
21
0
0
0
0
4
2
0
0
53
9
0
13
22
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0
83
0
8
4
14
1
17
6
0
0
0
0
0
0
2
0
0
0
0
0
0
0
5
2
5
78
0
1
13
15
0
0
0
48
0
6
0
0
17
14
10
12
2
0
0
52
0
0
0
4
0
0
24
11
0
0
0
0
21
0
40
9
1
0
0
24
11
14
0
0
60
80
0
16
40
6
8
3
16
10
8
7
8
12
13
42
118
9
138
5
9
8
25
7
13
16
11
11
3
61
29
17
33
15
3
66
17
26
3
2
67
70
26
24
97
30
223
48
90
180
Dataseries Y:
Download CSV
Histogram 
807
444
412
428
315
168
263
267
228
129
104
122
393
190
280
63
102
265
234
277
73
67
103
290
83
56
236
73
34
139
26
70
40
42
12
211
74
80
83
131
203
56
89
88
39
25
49
149
58
41
90
136
97
63
114
77
6
47
51
85
43
32
25
77
54
251
15
44
73
85
49
38
35
9
34
20
29
11
52
13
29
66
33
15
15
68
100
13
45
14
36
40
68
29
43
30
9
22
19
9
31
19
55
8
28
29
48
16
47
20
22
33
44
13
6
35
8
17
11
21
92
12
112
25
17
23
0
10
23
0
7
25
0
20
4
4
10
1
4
0
8
0
11
4
15
9
0
7
2
0
7
46
5
7
2
0
0
2
5
0
0
0
0
7
24
1
0
18
55
0
0
3
0
9
0
8
113
0
0
0
19
11
25
16
5
11
23
6
5
0
7
0
7
0
3
0
89
0
0
19
0
0
0
12
12
5
2
0
26
3
0
0
11
10
5
2
6
7
2
28
3
0
1
20
1
22
9
0
2
0
7
9
0
13
0
0
0
6
0
0
0
3
0
7
2
0
0
15
0
0
9
0
1
38
57
0
7
26
0
0
0
0
13
10
0
0
0
9
0
26
0
0
0
19
0
12
23
0
29
8
0
0
26
0
9
0
5
3
0
13
0
12
19
0
10
9
0
0
0
9
4
1
1
0
14
12
0
19
17
0
0
32
0
14
8
4
0
20
5
0
0
0
0
0
0
1
0
0
0
0
0
0
0
4
1
4
20
0
1
10
12
0
0
0
13
0
3
0
0
10
3
7
10
1
0
0
15
0
0
0
4
0
0
28
9
0
0
0
0
7
0
7
7
3
0
0
11
7
10
0
0
18
14
0
12
29
3
6
3
8
10
6
8
6
9
8
26
239
7
41
3
8
6
21
7
11
11
12
9
3
57
21
15
32
11
2
23
20
24
1
1
74
68
20
20
82
21
244
32
86
69

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=104286&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=104286&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104286&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
Mean49.851508120649734.0185614849188
Biased Variance12756.16356501105535.04837936919
Biased Standard Deviation112.94318733332774.3979057458554
Covariance7269.54229752334
Correlation0.863132566240261
Determination0.7449978269045
T-Test35.4025225708924
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom429
Number of Observations431

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 49.8515081206497 & 34.0185614849188 \tabularnewline
Biased Variance & 12756.1635650110 & 5535.04837936919 \tabularnewline
Biased Standard Deviation & 112.943187333327 & 74.3979057458554 \tabularnewline
Covariance & 7269.54229752334 \tabularnewline
Correlation & 0.863132566240261 \tabularnewline
Determination & 0.7449978269045 \tabularnewline
T-Test & 35.4025225708924 \tabularnewline
p-value (2 sided) & 0 \tabularnewline
p-value (1 sided) & 0 \tabularnewline
Degrees of Freedom & 429 \tabularnewline
Number of Observations & 431 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=104286&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]49.8515081206497[/C][C]34.0185614849188[/C][/ROW]
[ROW][C]Biased Variance[/C][C]12756.1635650110[/C][C]5535.04837936919[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]112.943187333327[/C][C]74.3979057458554[/C][/ROW]
[ROW][C]Covariance[/C][C]7269.54229752334[/C][/ROW]
[ROW][C]Correlation[/C][C]0.863132566240261[/C][/ROW]
[ROW][C]Determination[/C][C]0.7449978269045[/C][/ROW]
[ROW][C]T-Test[/C][C]35.4025225708924[/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]429[/C][/ROW]
[ROW][C]Number of Observations[/C][C]431[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=104286&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104286&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
Mean49.851508120649734.0185614849188
Biased Variance12756.16356501105535.04837936919
Biased Standard Deviation112.94318733332774.3979057458554
Covariance7269.54229752334
Correlation0.863132566240261
Determination0.7449978269045
T-Test35.4025225708924
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom429
Number of Observations431


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')