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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 11:49:20 -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/t122452501468euko831mbybfv.htm/, Retrieved Tue, 28 May 2024 16:25:42 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=17791, Retrieved Tue, 28 May 2024 16:25:42 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact145

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Univariate Data Series] [invoer vanuit vs] [2008-10-13 19:11:39] [57ce5bd741080980f0f51979adb31ad8]
-   PD  [Univariate Data Series] [Productie voedsel...] [2008-10-19 13:35:18] [ed2ba3b6182103c15c0ab511ae4e6284]
-   PD    [Univariate Data Series] [Productie Voedsel...] [2008-10-19 14:08:24] [ed2ba3b6182103c15c0ab511ae4e6284]
F RMPD      [Pearson Correlation] [Correl voedsel en...] [2008-10-20 16:30:30] [ed2ba3b6182103c15c0ab511ae4e6284]
-    D        [Pearson Correlation] [correlatie gezond...] [2008-10-20 17:32:21] [4ad596f10399a71ad29b7d76e6ab90ac]
-    D          [Pearson Correlation] [correlatie tussen...] [2008-10-20 17:38:26] [4ad596f10399a71ad29b7d76e6ab90ac]
-    D              [Pearson Correlation] [correlatie tussen...] [2008-10-20 17:49:20] [577b699a0819d2125728ba9ae2c57238] [Current]
-    D                [Pearson Correlation] [correlatie tussen...] [2008-10-20 17:57:05] [4ad596f10399a71ad29b7d76e6ab90ac]
-    D                  [Pearson Correlation] [correlatie index ...] [2008-10-20 18:04:28] [4ad596f10399a71ad29b7d76e6ab90ac]
-    D                  [Pearson Correlation] [correlatie tussen...] [2008-10-20 18:09:23] [4ad596f10399a71ad29b7d76e6ab90ac]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2.1
2.2
2.2
2.7
3.1
3.2
3.1
3.1
2.8
3
2.8
2.7
3.2
3.1
3
2
1.7
1.2
1.4
1.3
1.3
1.1
0.9
1.2
0.9
1.3
1.4
1.5
1.1
1.6
1.5
1.6
1.7
1.6
1.7
1.6
1.6
1.3
1.1
1.6
1.9
1.6
1.7
1.6
1.4
2.1
1.9
1.7
1.8
2
2.5
2.1
2.1
2.3
2.4
2.4
2.3
1.7
2
2.3
Dataseries Y:
Download CSV
Histogram 
1
1.04
1.02
1.07
1.12
1.08
1.02
1.01
1.04
0.98
0.95
0.94
0.94
0.96
0.97
1.03
1.01
0.99
1
1
1.02
1.01
0.99
0.98
1.01
1.03
1.03
1
0.96
0.97
0.98
1.02
1.04
1.01
1.01
1
1.01
1.02
1.03
1.06
1.12
1.12
1.13
1.13
1.13
1.17
1.14
1.08
1.07
1.12
1.14
1.21
1.2
1.23
1.29
1.31
1.37
1.35
1.26
1.26

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'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=17791&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=17791&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=17791&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'George Udny Yule' @ 72.249.76.132






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean1.9551.06966666666667
Biased Variance0.4061416666666670.0108398888888889
Biased Standard Deviation0.6372924498742050.104114787080841
Covariance0.0077135593220339
Correlation0.114315309492335
Determination0.0130679899843284
T-Test0.876344319175318
p-value (2 sided)0.384458075694154
p-value (1 sided)0.192229037847077
Degrees of Freedom58
Number of Observations60

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 1.955 & 1.06966666666667 \tabularnewline
Biased Variance & 0.406141666666667 & 0.0108398888888889 \tabularnewline
Biased Standard Deviation & 0.637292449874205 & 0.104114787080841 \tabularnewline
Covariance & 0.0077135593220339 \tabularnewline
Correlation & 0.114315309492335 \tabularnewline
Determination & 0.0130679899843284 \tabularnewline
T-Test & 0.876344319175318 \tabularnewline
p-value (2 sided) & 0.384458075694154 \tabularnewline
p-value (1 sided) & 0.192229037847077 \tabularnewline
Degrees of Freedom & 58 \tabularnewline
Number of Observations & 60 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=17791&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]1.955[/C][C]1.06966666666667[/C][/ROW]
[ROW][C]Biased Variance[/C][C]0.406141666666667[/C][C]0.0108398888888889[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]0.637292449874205[/C][C]0.104114787080841[/C][/ROW]
[ROW][C]Covariance[/C][C]0.0077135593220339[/C][/ROW]
[ROW][C]Correlation[/C][C]0.114315309492335[/C][/ROW]
[ROW][C]Determination[/C][C]0.0130679899843284[/C][/ROW]
[ROW][C]T-Test[/C][C]0.876344319175318[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.384458075694154[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.192229037847077[/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=17791&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=17791&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
Mean1.9551.06966666666667
Biased Variance0.4061416666666670.0108398888888889
Biased Standard Deviation0.6372924498742050.104114787080841
Covariance0.0077135593220339
Correlation0.114315309492335
Determination0.0130679899843284
T-Test0.876344319175318
p-value (2 sided)0.384458075694154
p-value (1 sided)0.192229037847077
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')