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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 10:26:07 -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/t1224520014h9mqiv7wq00khpe.htm/, Retrieved Fri, 17 May 2024 08:55:47 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=17602, Retrieved Fri, 17 May 2024 08:55:47 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact147

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Pearson Correlation] [Q4 Clothing produ...] [2007-10-20 14:33:09] [b731da8b544846036771bbf9bf2f34ce]
F    D  [Pearson Correlation] [Q4 - Clothing pro...] [2008-10-15 17:49:05] [a57f5cc542637534b8bb5bcb4d37eab1]
F R  D      [Pearson Correlation] [Correlatie Huurpr...] [2008-10-20 16:26:07] [0f30549460cf4ec26d9cf94b1fcf7789] [Current]
Feedback Forum
2008-10-25 13:19:39 [Astrid Sniekers] [reply] 
De uitleg van de student van de samenhang tussen twee tijdreeksen had iets uitgebreider gekund. Het is ook niet omdat er een positieve correlatie is, dat er een zakelijk verband bestaat.
De student heeft opnieuw vergeten tijdreeks 1 met 3 en tijdreeks 2 met 4 te vergelijken.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
526,4
526,4
526,4
526,4
526,4
526,4
542,9
542,9
542,9
542,9
542,9
542,9
556,11
556,11
556,11
556,11
556,11
556,11
557,07
557,07
557,07
557,07
557,07
557,07
564,29
564,29
564,29
564,29
564,29
564,29
569
569
569
569
569
569
575
575
575
575
575
575
594,51
594,51
594,51
594,51
594,51
594,51
603,88
603,88
603,88
603,88
603,88
603,88
610,02
610,02
610,02
610,02
610,02
610,02
Dataseries Y:
Download CSV
Histogram 
106,60
106,80
107,00
107,10
107,30
107,40
107,60
107,70
107,90
108,20
108,30
108,50
108,92
109,23
109,41
109,65
109,91
110,01
110,20
110,49
110,57
110,72
110,94
111,09
111,28
111,41
111,62
111,76
111,89
112,04
112,12
112,30
112,47
112,59
112,78
112,73
112,99
113,10
113,33
113,38
113,68
113,65
113,81
113,88
114,02
114,25
114,28
114,38
114,73
114,97
115,05
115,29
115,37
115,54
115,76
115,92
116,02
116,21
116,26
116,51

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'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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=17602&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=17602&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=17602&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean569.918111.815166666667
Biased Variance640.4218768.2268316388889
Biased Standard Deviation25.30655796429062.86824539377106
Covariance71.8868037288136
Correlation0.97386902185013
Determination0.948420871719328
T-Test32.6570949688428
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom58
Number of Observations60

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 569.918 & 111.815166666667 \tabularnewline
Biased Variance & 640.421876 & 8.2268316388889 \tabularnewline
Biased Standard Deviation & 25.3065579642906 & 2.86824539377106 \tabularnewline
Covariance & 71.8868037288136 \tabularnewline
Correlation & 0.97386902185013 \tabularnewline
Determination & 0.948420871719328 \tabularnewline
T-Test & 32.6570949688428 \tabularnewline
p-value (2 sided) & 0 \tabularnewline
p-value (1 sided) & 0 \tabularnewline
Degrees of Freedom & 58 \tabularnewline
Number of Observations & 60 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=17602&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]569.918[/C][C]111.815166666667[/C][/ROW]
[ROW][C]Biased Variance[/C][C]640.421876[/C][C]8.2268316388889[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]25.3065579642906[/C][C]2.86824539377106[/C][/ROW]
[ROW][C]Covariance[/C][C]71.8868037288136[/C][/ROW]
[ROW][C]Correlation[/C][C]0.97386902185013[/C][/ROW]
[ROW][C]Determination[/C][C]0.948420871719328[/C][/ROW]
[ROW][C]T-Test[/C][C]32.6570949688428[/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]58[/C][/ROW]
[ROW][C]Number of Observations[/C][C]60[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=17602&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=17602&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
Mean569.918111.815166666667
Biased Variance640.4218768.2268316388889
Biased Standard Deviation25.30655796429062.86824539377106
Covariance71.8868037288136
Correlation0.97386902185013
Determination0.948420871719328
T-Test32.6570949688428
p-value (2 sided)0
p-value (1 sided)0
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')