| | *The author of this computation has been verified* | R Software Module: /rwasp_correlation.wasp (opens new window with default values) | Title produced by software: Pearson Correlation | Date of computation: Sun, 19 Dec 2010 15:41:59 +0000 | | Cite this page as follows: | Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2010/Dec/19/t1292773199uaiuoc01qiunh71.htm/, Retrieved Sun, 19 Dec 2010 16:40:01 +0100 | | BibTeX entries for LaTeX users: | @Manual{KEY,
author = {{YOUR NAME}},
publisher = {Office for Research Development and Education},
title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2010/Dec/19/t1292773199uaiuoc01qiunh71.htm/},
year = {2010},
}
@Manual{R,
title = {R: A Language and Environment for Statistical Computing},
author = {{R Development Core Team}},
organization = {R Foundation for Statistical Computing},
address = {Vienna, Austria},
year = {2010},
note = {{ISBN} 3-900051-07-0},
url = {http://www.R-project.org},
}
| | Original text written by user: | | | IsPrivate? | No (this computation is public) | | User-defined keywords: | | | Dataseries X: | » Textbox « » Textfile « » CSV « | 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 etc... | | Dataseries Y: | » Textbox « » Textfile « » CSV « | 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
1
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
etc... | | Output produced by software: |
| | Charts produced by software: | | http://www.freestatistics.org/blog/date/2010/Dec/19/t1292773199uaiuoc01qiunh71/1gx271292773317.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/19/t1292773199uaiuoc01qiunh71/1gx271292773317.ps (open in new window) |
| | 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$estimate)[1,1]
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Pearson Product Moment Correlation - Ungrouped Data',3,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Statistic',1,TRUE)
a<-table.element(a,'Variable X',1,TRUE)
a<-table.element(a,'Variable Y',1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('http://www.xycoon.com/arithmetic_mean.htm','Mean',''),header=TRUE)
a<-table.element(a,mean(x))
a<-table.element(a,mean(y))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('http://www.xycoon.com/biased.htm','Biased Variance',''),header=TRUE)
a<-table.element(a,varx)
a<-table.element(a,vary)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('http://www.xycoon.com/biased1.htm','Biased Standard Deviation',''),header=TRUE)
a<-table.element(a,sqrt(varx))
a<-table.element(a,sqrt(vary))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('http://www.xycoon.com/covariance.htm','Covariance',''),header=TRUE)
a<-table.element(a,cov(x,y),2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('http://www.xycoon.com/pearson_correlation.htm','Correlation',''),header=TRUE)
a<-table.element(a,cxy,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('http://www.xycoon.com/coeff_of_determination.htm','Determination',''),header=TRUE)
a<-table.element(a,cxy*cxy,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('http://www.xycoon.com/ttest_statistic.htm','T-Test',''),header=TRUE)
a<-table.element(a,as.matrix(corxy$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')
| |
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