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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 computationMon, 20 Oct 2008 18:32:08 -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/21/t1224549168dv0dd0vb80whlh1.htm/, Retrieved Fri, 17 May 2024 04:24:14 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=18313, Retrieved Fri, 17 May 2024 04:24:14 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact185

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Pearson Correlation] [Investigating ass...] [2007-10-22 22:08:56] [8cd6641b921d30ebe00b648d1481bba0]
F    D  [Pearson Correlation] [Correlatie tussen...] [2008-10-21 00:01:19] [504b73e6de93b01331326637b3288ad4]
F    D      [Pearson Correlation] [Correlatie tussen...] [2008-10-21 00:32:08] [ba85d9d0a82357dd3edf208eef933423] [Current]
- RM D        [Kendall tau Correlation Matrix] [Kendall Tau] [2008-12-21 16:21:29] [504b73e6de93b01331326637b3288ad4]
- RM D        [Kendall tau Correlation Matrix] [Kendall Tau] [2008-12-21 16:24:43] [504b73e6de93b01331326637b3288ad4]
-    D          [Kendall tau Correlation Matrix] [Kendall Tau na di...] [2008-12-22 02:08:59] [504b73e6de93b01331326637b3288ad4]
-    D          [Kendall tau Correlation Matrix] [Kendall Tau na di...] [2008-12-22 02:16:19] [504b73e6de93b01331326637b3288ad4]
-    D        [Pearson Correlation] [Pearsons - invoer...] [2008-12-21 16:47:00] [504b73e6de93b01331326637b3288ad4]
-    D          [Pearson Correlation] [Pearsons - Uitvoe...] [2008-12-21 16:53:10] [504b73e6de93b01331326637b3288ad4]
- RM D          [Partial Correlation] [Partial Correlati...] [2008-12-21 17:25:58] [504b73e6de93b01331326637b3288ad4]
Feedback Forum
2008-10-25 12:58:04 [Stijn Van de Velde] [reply] 
Aan deze conclusie valt niet veel toe te voegen. Om een reden die ook voor mij onbekend is zullen invoer en uitvoer op dezelfde manier reageren op nieuwe marktomstandigheden.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
15916,4
16535,9
15796
14418,6
15044,5
14944,2
16754,8
14254
15454,9
15644,8
14568,3
12520,2
14803
15873,2
14755,3
12875,1
14291,1
14205,3
15859,4
15258,9
15498,6
15106,5
15023,6
12083
15761,3
16943
15070,3
13659,6
14768,9
14725,1
15998,1
15370,6
14956,9
15469,7
15101,8
11703,7
16283,6
16726,5
14968,9
14861
14583,3
15305,8
17903,9
16379,4
15420,3
17870,5
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
22238,5
20682,2
17818,6
21872,1
22117
21865,9
23451,3
20953,7
22497,3
Dataseries Y:
Download CSV
Histogram 
14532.2
15167
16071.1
14827.5
15082
14772.7
16083
14272.5
15223.3
14897.3
13062.6
12603.8
13629.8
14421.1
13978.3
12927.9
13429.9
13470.1
14785.8
14292
14308.8
14013
13240.9
12153.4
14289.7
15669.2
14169.5
14569.8
14469.1
14264.9
15320.9
14433.5
13691.5
14194.1
13519.2
11857.9
14616
15643.4
14077.2
14887.5
14159.9
14643
17192.5
15386.1
14287.1
17526.6
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
16895.7
18553
19270
19422.1
17579.4
18637.3
18076.7
20438.6
18075.2
19563
19899.2
19227.5
17789.6
19220.8
22058.6
21230.8
19504.4
23913.1
23165.7
23574.3
25002
22603.9
23408.6

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=18313&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=18313&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18313&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
Mean17018.209574468116607.7148936170
Biased Variance6262016.654057278271998.50913988
Biased Standard Deviation2502.402176720852876.10822277951
Covariance6999713.12469458
Correlation0.962216950879482
Determination0.925861460559807
T-Test33.8957231678071
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom92
Number of Observations94

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 17018.2095744681 & 16607.7148936170 \tabularnewline
Biased Variance & 6262016.65405727 & 8271998.50913988 \tabularnewline
Biased Standard Deviation & 2502.40217672085 & 2876.10822277951 \tabularnewline
Covariance & 6999713.12469458 \tabularnewline
Correlation & 0.962216950879482 \tabularnewline
Determination & 0.925861460559807 \tabularnewline
T-Test & 33.8957231678071 \tabularnewline
p-value (2 sided) & 0 \tabularnewline
p-value (1 sided) & 0 \tabularnewline
Degrees of Freedom & 92 \tabularnewline
Number of Observations & 94 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18313&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]17018.2095744681[/C][C]16607.7148936170[/C][/ROW]
[ROW][C]Biased Variance[/C][C]6262016.65405727[/C][C]8271998.50913988[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]2502.40217672085[/C][C]2876.10822277951[/C][/ROW]
[ROW][C]Covariance[/C][C]6999713.12469458[/C][/ROW]
[ROW][C]Correlation[/C][C]0.962216950879482[/C][/ROW]
[ROW][C]Determination[/C][C]0.925861460559807[/C][/ROW]
[ROW][C]T-Test[/C][C]33.8957231678071[/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]92[/C][/ROW]
[ROW][C]Number of Observations[/C][C]94[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=18313&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18313&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
Mean17018.209574468116607.7148936170
Biased Variance6262016.654057278271998.50913988
Biased Standard Deviation2502.402176720852876.10822277951
Covariance6999713.12469458
Correlation0.962216950879482
Determination0.925861460559807
T-Test33.8957231678071
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom92
Number of Observations94


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')