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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 16:04:12 -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/t1224540307aiwqzfhhvq4pr9r.htm/, Retrieved Sun, 19 May 2024 21:18:27 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=18230, Retrieved Sun, 19 May 2024 21:18:27 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact194

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]
-    D  [Pearson Correlation] [Relatie Totaal/Br...] [2008-10-20 19:59:13] [43d870b30ac8a7afeb5de9ee11dcfc1a]
F R  D      [Pearson Correlation] [Correlatie Totaal...] [2008-10-20 22:04:12] [461be1b9ba57453336a7ea3097b7d5b5] [Current]
Feedback Forum
2008-10-25 13:30:47 [Astrid Sniekers] [reply] 
Er bestaat een negatieve correlatie tussen de export van het Brussels gewest en de export van België. Dit wil zeggen als het één stijgt, dat het ander zal dalen en andersom.
==> De student heeft geen vergelijking gemaakt tussen tijdreeks 2 en 3, 2 en 4 en 3 en 4!!!
2008-10-26 17:39:40 [Lindsay Heyndrickx] [reply] 
Er is inderdaad een negatieve correlatie. Hier had de student mischien wat meer uitleg bij kunnen geven.
2008-10-27 16:47:10 [Lindsay Heyndrickx] [reply] 
Het is hier niet omdat er correlatie is dat er een verband is tussen de twee tijdreeksen.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
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
17422
16704.5
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
Dataseries Y:
Download CSV
Histogram 
635.4
590.8
634.3
576.1
351.6
507.5
586.2
666.4
693.6
650.6
654.8
733.5
648.1
678.1
816.2
591
563.5
742.5
694.4
728.6
749
538.9
568.5
692.8
580.5
506.9
612.8
442.9
523.3
596.7
533.7
523.1
559.2
430.7
538.2
612.4
428
522.4
531.1
425.9
410.3
551
555.6
460.2
288.9
392.3
400.5
399
354.9
337.6
379.2
334.1
321.6
449.8
486.3
421.9
405.6
420
432.4
418.1

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'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18230&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=18230&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18230&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean17806.6533333333531.325
Biased Variance4961000.6011555515408.815875
Biased Standard Deviation2227.33037539462124.132251550514
Covariance-89454.2315254237
Correlation-0.318150329795848
Determination0.101219632349207
T-Test-2.55575715814587
p-value (2 sided)0.0132388479342546
p-value (1 sided)0.00661942396712732
Degrees of Freedom58
Number of Observations60

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 17806.6533333333 & 531.325 \tabularnewline
Biased Variance & 4961000.60115555 & 15408.815875 \tabularnewline
Biased Standard Deviation & 2227.33037539462 & 124.132251550514 \tabularnewline
Covariance & -89454.2315254237 \tabularnewline
Correlation & -0.318150329795848 \tabularnewline
Determination & 0.101219632349207 \tabularnewline
T-Test & -2.55575715814587 \tabularnewline
p-value (2 sided) & 0.0132388479342546 \tabularnewline
p-value (1 sided) & 0.00661942396712732 \tabularnewline
Degrees of Freedom & 58 \tabularnewline
Number of Observations & 60 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18230&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]17806.6533333333[/C][C]531.325[/C][/ROW]
[ROW][C]Biased Variance[/C][C]4961000.60115555[/C][C]15408.815875[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]2227.33037539462[/C][C]124.132251550514[/C][/ROW]
[ROW][C]Covariance[/C][C]-89454.2315254237[/C][/ROW]
[ROW][C]Correlation[/C][C]-0.318150329795848[/C][/ROW]
[ROW][C]Determination[/C][C]0.101219632349207[/C][/ROW]
[ROW][C]T-Test[/C][C]-2.55575715814587[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.0132388479342546[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.00661942396712732[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]58[/C][/ROW]
[ROW][C]Number of Observations[/C][C]60[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=18230&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18230&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
Mean17806.6533333333531.325
Biased Variance4961000.6011555515408.815875
Biased Standard Deviation2227.33037539462124.132251550514
Covariance-89454.2315254237
Correlation-0.318150329795848
Determination0.101219632349207
T-Test-2.55575715814587
p-value (2 sided)0.0132388479342546
p-value (1 sided)0.00661942396712732
Degrees of Freedom58
Number of Observations60


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')