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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, 13 Dec 2009 07:19:24 -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/2009/Dec/13/t1260714215sssuzy24m4rmbeq.htm/, Retrieved Sun, 28 Apr 2024 13:56:07 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=67294, Retrieved Sun, 28 Apr 2024 13:56:07 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsshwpaper6
Estimated Impact154

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Pearson Correlation] [] [2009-12-13 14:19:24] [4407d6264e55b051ec65750e6dca2820] [Current]
- RMPD    [Univariate Data Series] [Paper - Werkloosh...] [2010-11-28 14:15:44] [4a7069087cf9e0eda253aeed7d8c30d6]
-    D    [Pearson Correlation] [Paper correlatie] [2010-12-04 12:46:36] [247f085ab5b7724f755ad01dc754a3e8]
-    D      [Pearson Correlation] [Pearson Correlation] [2010-12-18 09:38:42] [8d09066a9d3795298da6860e7d4a4400]
- RMPD        [Multiple Regression] [Multiple Regressi...] [2010-12-18 12:08:40] [8d09066a9d3795298da6860e7d4a4400]
-   P           [Multiple Regression] [Multiple Regressi...] [2010-12-19 09:30:57] [8d09066a9d3795298da6860e7d4a4400]
-    D            [Multiple Regression] [Multiple Regressi...] [2010-12-19 11:09:13] [8d09066a9d3795298da6860e7d4a4400]
-                   [Multiple Regression] [Multiple regressi...] [2010-12-23 08:04:48] [18a20458ff88c9ba38344d123a9464bc]
-               [Multiple Regression] [Multiple regressi...] [2010-12-23 07:54:31] [18a20458ff88c9ba38344d123a9464bc]
-   P             [Multiple Regression] [Multiple regressi...] [2010-12-23 07:58:24] [18a20458ff88c9ba38344d123a9464bc]
- RM          [Kendall tau Rank Correlation] [Kendall Tau Corre...] [2010-12-22 14:16:35] [8d09066a9d3795298da6860e7d4a4400]
-               [Kendall tau Rank Correlation] [Kendall's tau cor...] [2010-12-23 07:50:36] [18a20458ff88c9ba38344d123a9464bc]
-             [Pearson Correlation] [Pearson correlati...] [2010-12-23 07:48:17] [18a20458ff88c9ba38344d123a9464bc]
-    D    [Pearson Correlation] [] [2010-12-24 12:06:30] [6e5489189f7de5cfbcc25dd35ae15009]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
15912,8
13866,5
17823,2
17872
17420,4
16704,4
15991,2
16583,6
19123,5
17838,7
17209,4
18586,5
16258,1
15141,6
19202,1
17746,5
19090,1
18040,3
17515,5
17751,8
21072,4
17170
19439,5
19795,4
17574,9
16165,4
19464,6
19932,1
19961,2
17343,4
18924,2
18574,1
21350,6
18594,6
19823,1
20844,4
19640,2
17735,4
19813,6
22160
20664,3
17877,4
20906,5
21164,1
21374,4
22952,3
21343,5
23899,3
22392,9
18274,1
22786,7
22321,5
17842,2
16373,5
15993,8
16446,1
17729
16643
16196,7
18252,1
17304
Dataseries Y:
Download CSV
Histogram 
14497
14398,3
16629,6
16670,7
16614,8
16869,2
15663,9
16359,9
18447,7
16889
16505
18320,9
15052,1
15699,8
18135,3
16768,7
18883
19021
18101,9
17776,1
21489,9
17065,3
18690
18953,1
16398,9
16895,6
18553
19270
19422,1
17579,4
18637,3
18076,7
20438,6
18075,2
19563
19899,2
19227,5
17789,6
19220,8
21968,9
21131,5
19484,6
22168,7
20866,8
22176,2
23533,8
21479,6
24347,7
22751,6
20328,3
23650,4
23335,7
19614,9
18042,3
17282,5
16847,2
18159,5
16540,9
15952,7
18357,8
16394,3

Tables (Output of Computation)





Summary of computational 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 computational 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=67294&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]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=67294&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=67294&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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean18685.159016393418638.7704918033
Biased Variance4545527.537500675410382.56306369
Biased Standard Deviation2132.024281639562326.02290682265
Covariance4714394.56377049
Correlation0.935063723905222
Determination0.874344167763502
T-Test20.2617003877523
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom59
Number of Observations61

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 18685.1590163934 & 18638.7704918033 \tabularnewline
Biased Variance & 4545527.53750067 & 5410382.56306369 \tabularnewline
Biased Standard Deviation & 2132.02428163956 & 2326.02290682265 \tabularnewline
Covariance & 4714394.56377049 \tabularnewline
Correlation & 0.935063723905222 \tabularnewline
Determination & 0.874344167763502 \tabularnewline
T-Test & 20.2617003877523 \tabularnewline
p-value (2 sided) & 0 \tabularnewline
p-value (1 sided) & 0 \tabularnewline
Degrees of Freedom & 59 \tabularnewline
Number of Observations & 61 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=67294&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]18685.1590163934[/C][C]18638.7704918033[/C][/ROW]
[ROW][C]Biased Variance[/C][C]4545527.53750067[/C][C]5410382.56306369[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]2132.02428163956[/C][C]2326.02290682265[/C][/ROW]
[ROW][C]Covariance[/C][C]4714394.56377049[/C][/ROW]
[ROW][C]Correlation[/C][C]0.935063723905222[/C][/ROW]
[ROW][C]Determination[/C][C]0.874344167763502[/C][/ROW]
[ROW][C]T-Test[/C][C]20.2617003877523[/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]59[/C][/ROW]
[ROW][C]Number of Observations[/C][C]61[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=67294&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=67294&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
Mean18685.159016393418638.7704918033
Biased Variance4545527.537500675410382.56306369
Biased Standard Deviation2132.024281639562326.02290682265
Covariance4714394.56377049
Correlation0.935063723905222
Determination0.874344167763502
T-Test20.2617003877523
p-value (2 sided)0
p-value (1 sided)0
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')