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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, 20 Oct 2008 13:43:14 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Oct/20/t12245318376br2dtsryq6fzwd.htm/, Retrieved Fri, 17 May 2024 07:02:31 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=17992, Retrieved Fri, 17 May 2024 07:02:31 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact141

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Central Tendency] [Q1 central tenden...] [2007-10-18 09:35:57] [b731da8b544846036771bbf9bf2f34ce]
F RM D  [Pearson Correlation] [Pearson Correlation] [2008-10-20 11:08:13] [8af599f2ccf50a86f2698320831f9f94]
F    D      [Pearson Correlation] [Verbruik voedings...] [2008-10-20 19:43:14] [6d5cd2fe15d123a10639b4bf141c23b5] [Current]
Feedback Forum
2008-10-27 23:09:32 [Jeroen Michel] [reply] 
zie ook hier:

1)http://www.freestatistics.org/blog/index.php?v=date/2008/Oct/20/t122453111942vvq5w48kufj3c.htm

2)http://www.freestatistics.org/blog/index.php?v=date/2008/Oct/20/t12245313245prfko041cy9ggm.htm

3)http://www.freestatistics.org/blog/index.php?v=date/2008/Oct/20/t12245315975j2g5igzfz3c8ye.htm

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
118,01
118,25
117,56
117,5
118,59
118,49
119,34
120,03
119,24
119,17
117,39
116,43
115,85
116,22
115,81
116,04
116,07
116,66
116,96
117,07
116,6
115,59
115,18
115,02
113,82
114,62
114,6
116,17
114,95
114,86
114,93
114,4
114,26
113,65
113,14
112,61
111,41
112,09
112,04
112,33
111,51
111,99
111,89
112,92
112,23
112,13
111,52
112,51
110,24
110,97
111,08
110,69
110,76
110,66
111,22
110,82
109,31
107,38
106,31
106,22
105,45
Dataseries Y:
Download CSV
Histogram 
57,42
56,12
59,15
63,77
63,96
57,81
55,3
51,8
53,26
53,38
45,85
44,23
40,22
44,61
49,14
42,94
41,84
37,75
35,54
37,13
33,19
32,67
30,52
30,7
29,59
28,76
29,08
26,95
29,58
28,24
27,28
25,48
24,87
29,87
32,33
30,23
27,46
24,46
27,34
28,37
26,09
25,59
24,67
25,61
25,97
24,31
20,36
19,82
19,32
19,2
21,74
26,29
25,9
25,36
27,64
28,57
25,38
25,71
27,6
25,85
26,54

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 3 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=17992&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=17992&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=17992&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 time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean113.94688524590234.1919672131148
Biased Variance11.3669099704381147.046143671056
Biased Standard Deviation3.3714848317081412.1262584365935
Covariance32.0485045628415
Correlation0.771047538248408
Determination0.59451430623893
T-Test9.30078044832412
p-value (2 sided)3.61488616817951e-13
p-value (1 sided)1.80744308408975e-13
Degrees of Freedom59
Number of Observations61

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 113.946885245902 & 34.1919672131148 \tabularnewline
Biased Variance & 11.3669099704381 & 147.046143671056 \tabularnewline
Biased Standard Deviation & 3.37148483170814 & 12.1262584365935 \tabularnewline
Covariance & 32.0485045628415 \tabularnewline
Correlation & 0.771047538248408 \tabularnewline
Determination & 0.59451430623893 \tabularnewline
T-Test & 9.30078044832412 \tabularnewline
p-value (2 sided) & 3.61488616817951e-13 \tabularnewline
p-value (1 sided) & 1.80744308408975e-13 \tabularnewline
Degrees of Freedom & 59 \tabularnewline
Number of Observations & 61 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=17992&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]113.946885245902[/C][C]34.1919672131148[/C][/ROW]
[ROW][C]Biased Variance[/C][C]11.3669099704381[/C][C]147.046143671056[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]3.37148483170814[/C][C]12.1262584365935[/C][/ROW]
[ROW][C]Covariance[/C][C]32.0485045628415[/C][/ROW]
[ROW][C]Correlation[/C][C]0.771047538248408[/C][/ROW]
[ROW][C]Determination[/C][C]0.59451430623893[/C][/ROW]
[ROW][C]T-Test[/C][C]9.30078044832412[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]3.61488616817951e-13[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]1.80744308408975e-13[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]59[/C][/ROW]
[ROW][C]Number of Observations[/C][C]61[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=17992&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=17992&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
Mean113.94688524590234.1919672131148
Biased Variance11.3669099704381147.046143671056
Biased Standard Deviation3.3714848317081412.1262584365935
Covariance32.0485045628415
Correlation0.771047538248408
Determination0.59451430623893
T-Test9.30078044832412
p-value (2 sided)3.61488616817951e-13
p-value (1 sided)1.80744308408975e-13
Degrees of Freedom59
Number of Observations61


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')