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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, 03 Dec 2007 02:25:18 -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/2007/Dec/03/t11966732251vicvxrlsmh05iz.htm/, Retrieved Fri, 03 May 2024 20:20:39 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=2293, Retrieved Fri, 03 May 2024 20:20:39 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsex012008
Estimated Impact508

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Pearson Correlation] [omzet vs aantal] [2007-12-03 09:25:18] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
589
606
566
487
442
463
547
432
513
602
637
913
576
634
563
513
483
477
524
470
427
537
662
1079
816
705
653
584
508
446
604
446
512
533
791
1206
783
567
473
412
314
323
438
429
468
518
555
816
673
593
569
505
447
433
549
553
505
601
706
852
643
448
551
476
416
331
435
395
405
619
596
889
668
555
620
472
460
417
582
525
507
750
899
1075
993
777
675
655
535
491
686
637
652
794
859
1049
1022
762
762
563
573
473
527
710
630
706
870
1069
1021
799
694
521
622
614
661
630
Dataseries Y:
Download CSV
Histogram 
122302.01
109264.65
103674.75
103890.3
75512.66
83121.3
125096.81
74206.73
88481.63
111598.17
146919.48
150790.85
113780.5
110870.76
118785.32
112820.5
102188.92
97092.73
114067.82
89690.15
89267.9
96198.64
129599.75
169424.7
152510.91
121850.2
144737.64
121381.88
106894.86
94305.06
116800.42
77584.28
100680.88
106634.05
168390.77
211971.89
136163.28
168950.25
89816.88
85406.93
66055.52
73311.68
85674.51
82822.59
94277.63
100991.65
149245.88
208517.17
40733.51
121352.23
104020.11
99566.82
101352.17
106628.41
109696.95
248696.37
105628.33
120449.17
136547.7
140896.42
131509.91
95450.31
133592.64
110332.9
88110.54
64931.25
98446.22
84212.38
77519.55
124806.02
102185.94
151348.79
124378.28
101433.13
126724.22
87461.88
95288.27
129055.33
107753.06
96364.03
71662.75
125666.24
456841.51
167642.32
167154.73
139685.18
119275.2
122746.05
107337.43
112584.89
133183.08
121152.57
119815.6
122858.44
152077.17
157221.96
140435.08
101455.09
104791.29
77226.59
84477.43
66227.74
89076.23
108924.43
83926.11
91764.8
120892.76
129952.42
135865.14
105512.77
96486.62
78064.88
92370.22
98454.46
96703.93
83170.95

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=2293&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=2293&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2293&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
Mean615.465517241379115972.247758621
Biased Variance31583.0074316291968435145.18033
Biased Standard Deviation177.71608658652444367.0502195079
Covariance4421169.2627916
Correlation0.555891068970592
Determination0.309014880561267
T-Test7.1401572240708
p-value (2 sided)9.31650312452348e-11
p-value (1 sided)4.65825156226174e-11
Degrees of Freedom114
Number of Observations116

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 615.465517241379 & 115972.247758621 \tabularnewline
Biased Variance & 31583.007431629 & 1968435145.18033 \tabularnewline
Biased Standard Deviation & 177.716086586524 & 44367.0502195079 \tabularnewline
Covariance & 4421169.2627916 \tabularnewline
Correlation & 0.555891068970592 \tabularnewline
Determination & 0.309014880561267 \tabularnewline
T-Test & 7.1401572240708 \tabularnewline
p-value (2 sided) & 9.31650312452348e-11 \tabularnewline
p-value (1 sided) & 4.65825156226174e-11 \tabularnewline
Degrees of Freedom & 114 \tabularnewline
Number of Observations & 116 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=2293&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]615.465517241379[/C][C]115972.247758621[/C][/ROW]
[ROW][C]Biased Variance[/C][C]31583.007431629[/C][C]1968435145.18033[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]177.716086586524[/C][C]44367.0502195079[/C][/ROW]
[ROW][C]Covariance[/C][C]4421169.2627916[/C][/ROW]
[ROW][C]Correlation[/C][C]0.555891068970592[/C][/ROW]
[ROW][C]Determination[/C][C]0.309014880561267[/C][/ROW]
[ROW][C]T-Test[/C][C]7.1401572240708[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]9.31650312452348e-11[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]4.65825156226174e-11[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]114[/C][/ROW]
[ROW][C]Number of Observations[/C][C]116[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=2293&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2293&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
Mean615.465517241379115972.247758621
Biased Variance31583.0074316291968435145.18033
Biased Standard Deviation177.71608658652444367.0502195079
Covariance4421169.2627916
Correlation0.555891068970592
Determination0.309014880561267
T-Test7.1401572240708
p-value (2 sided)9.31650312452348e-11
p-value (1 sided)4.65825156226174e-11
Degrees of Freedom114
Number of Observations116


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')