| | *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 16:05:38 +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/t1292774620bml2rrtyaau5j3g.htm/, Retrieved Sun, 19 Dec 2010 17:03:41 +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/t1292774620bml2rrtyaau5j3g.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 « | 162556
29790
87550
84738
54660
42634
40949
45187
37704
16275
25830
12679
18014
43556
24811
6575
7123
21950
37597
17821
12988
22330
13326
16189
7146
15824
27664
11920
8568
14416
3369
11819
6984
4519
2220
18562
10327
5336
2365
4069
8636
13718
4525
6869
4628
3689
4891
7489
4901
2284
3160
4150
7285
1134
4658
2384
3748
5371
1285
9327
5565
1528
3122
7561
2675
13253
880
2053
1424
4036
3045
5119
1431
554
1975
1765
1012
810
1280
666
1380
4677
876
814
514
5692
3642
540
2099
567
2001
2949
2253
6533
1889
3055
272
1414
2564
1383
1261
975
3366
576
1686
746
3192
2045
5702
1932
936
3437
5131
2397
1389
1503
402
2239
2234
837
10579
875
1585
1659
2647
3294
0
94
422
0
34
1558
0
43
645
316
115
5
897
0
389
0
1002
36
460
309
0
9
271
14
520
1766
0
458
20
0
0
98
405
0
0
0
0
483
454
47
0
757
4655
0
0
36
0
203
0
126
400
71
0
0
972
531
2461
378
23
638
23 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/t1292774620bml2rrtyaau5j3g/1kinl1292774736.png (open in new window) | http://www.freestatistics.org/blog/date/2010/Dec/19/t1292774620bml2rrtyaau5j3g/1kinl1292774736.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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