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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 computationSun, 19 Dec 2010 16:05:38 +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/19/t1292774620bml2rrtyaau5j3g.htm/, Retrieved Sun, 05 May 2024 00:10:17 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=112540, Retrieved Sun, 05 May 2024 00:10:17 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact135

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Multiple Regression] [Competence to learn] [2010-11-17 07:43:53] [b98453cac15ba1066b407e146608df68]
-   PD  [Multiple Regression] [] [2010-12-01 13:36:35] [8d263c682820d5327cb5f02a8c3630cf]
- RMPD      [Pearson Correlation] [] [2010-12-19 16:05:38] [64cdeb58b12a5b72c79150d12c763b6f] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
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
2300
149
226
0
275
0
141
0
28
0
4980
0
0
472
0
0
0
203
496
10
63
0
1136
265
0
0
267
474
534
0
15
397
0
1866
288
0
3
468
20
278
61
0
192
0
317
738
0
368
0
2
0
53
0
0
0
94
0
24
2332
0
0
131
0
0
206
0
167
622
2328
0
365
364
0
0
0
0
226
307
0
0
0
188
0
138
0
0
0
125
0
282
335
0
1324
176
0
0
249
0
333
0
601
30
0
249
0
165
453
0
53
382
0
0
0
0
30
290
0
0
366
2
0
209
384
0
0
365
0
49
3
133
32
368
1
0
0
0
0
0
0
22
0
0
0
0
0
0
0
96
1
314
844
0
26
125
304
0
0
0
621
0
119
0
0
1595
312
60
587
135
0
0
514
0
0
0
1
0
0
1763
180
0
0
0
0
218
0
448
227
174
0
0
121
607
2212
0
0
530
571
0
78
2489
131
923
72
572
397
450
622
694
3425
562
4917
1442
529
2126
1061
776
611
1526
592
1182
621
989
438
726
1303
7419
1164
3310
1920
965
3256
1135
1270
661
1013
2844
11528
6526
2264
5109
3999
35624
9252
15236
18073
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
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
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 time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112540&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]2 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=112540&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112540&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 time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean3567.9837587007034.0208816705336
Biased Variance139376042.3222425534.89283541755
Biased Standard Deviation11805.763097836774.3968603868305
Covariance772226.074758539
Correlation0.877176472860332
Determination0.769438564539693
T-Test37.8374872102515
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 & 3567.98375870070 & 34.0208816705336 \tabularnewline
Biased Variance & 139376042.322242 & 5534.89283541755 \tabularnewline
Biased Standard Deviation & 11805.7630978367 & 74.3968603868305 \tabularnewline
Covariance & 772226.074758539 \tabularnewline
Correlation & 0.877176472860332 \tabularnewline
Determination & 0.769438564539693 \tabularnewline
T-Test & 37.8374872102515 \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=112540&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]3567.98375870070[/C][C]34.0208816705336[/C][/ROW]
[ROW][C]Biased Variance[/C][C]139376042.322242[/C][C]5534.89283541755[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]11805.7630978367[/C][C]74.3968603868305[/C][/ROW]
[ROW][C]Covariance[/C][C]772226.074758539[/C][/ROW]
[ROW][C]Correlation[/C][C]0.877176472860332[/C][/ROW]
[ROW][C]Determination[/C][C]0.769438564539693[/C][/ROW]
[ROW][C]T-Test[/C][C]37.8374872102515[/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=112540&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112540&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
Mean3567.9837587007034.0208816705336
Biased Variance139376042.3222425534.89283541755
Biased Standard Deviation11805.763097836774.3968603868305
Covariance772226.074758539
Correlation0.877176472860332
Determination0.769438564539693
T-Test37.8374872102515
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')