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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 15:24:45 -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/t1224537941z436b90hs59bb9y.htm/, Retrieved Sun, 19 May 2024 13:01:30 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=18175, Retrieved Sun, 19 May 2024 13:01:30 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact107

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Harrell-Davis Quantiles] [Harrel Davis 95% ...] [2008-10-20 19:54:02] [5305bc6b3d76cda90639c127230e61c1]
F RMPD  [Back to Back Histogram] [BTB histogram Alg...] [2008-10-20 21:08:22] [e3bad6a1a79f69c694d9924270290d49]
F RMPD    [Pearson Correlation] [Correlation Algem...] [2008-10-20 21:13:44] [5305bc6b3d76cda90639c127230e61c1]
F    D      [Pearson Correlation] [Correlatie Algeme...] [2008-10-20 21:16:34] [5305bc6b3d76cda90639c127230e61c1]
F    D        [Pearson Correlation] [Correlatie Gezond...] [2008-10-20 21:21:23] [5305bc6b3d76cda90639c127230e61c1]
F    D            [Pearson Correlation] [Correlation Gezon...] [2008-10-20 21:24:45] [d67aed6fd81b78d9d6977a60b85d8b5e] [Current]
Feedback Forum
2008-10-27 19:03:53 [Jeroen Aerts] [reply] 
Dit is een juiste berekening en een juiste conclusie.

Post a new message

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 
3.52
3.52
3.58
3.6
3.61
3.61
3.61
3.63
3.68
3.69
3.69
3.69
3.69
3.69
3.69
3.69
3.69
3.78
3.79
3.79
3.8
3.8
3.8
3.8
3.81
3.95
3.99
4
4.06
4.16
4.19
4.2
4.2
4.2
4.2
4.2
4.23
4.38
4.43
4.44
4.44
4.44
4.44
4.44
4.45
4.45
4.45
4.45
4.45
4.45
4.45
4.45
4.46
4.46
4.46
4.48
4.58
4.67
4.68
4.68

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'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18175&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]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=18175&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18175&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'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean1.9554.08183333333333
Biased Variance0.4061416666666670.133431638888889
Biased Standard Deviation0.6372924498742050.365282957293232
Covariance-0.069356779661017
Correlation-0.292968884693547
Determination0.0858307673985807
T-Test-2.33357731480322
p-value (2 sided)0.0231055033940909
p-value (1 sided)0.0115527516970455
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 & 4.08183333333333 \tabularnewline
Biased Variance & 0.406141666666667 & 0.133431638888889 \tabularnewline
Biased Standard Deviation & 0.637292449874205 & 0.365282957293232 \tabularnewline
Covariance & -0.069356779661017 \tabularnewline
Correlation & -0.292968884693547 \tabularnewline
Determination & 0.0858307673985807 \tabularnewline
T-Test & -2.33357731480322 \tabularnewline
p-value (2 sided) & 0.0231055033940909 \tabularnewline
p-value (1 sided) & 0.0115527516970455 \tabularnewline
Degrees of Freedom & 58 \tabularnewline
Number of Observations & 60 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18175&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]4.08183333333333[/C][/ROW]
[ROW][C]Biased Variance[/C][C]0.406141666666667[/C][C]0.133431638888889[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]0.637292449874205[/C][C]0.365282957293232[/C][/ROW]
[ROW][C]Covariance[/C][C]-0.069356779661017[/C][/ROW]
[ROW][C]Correlation[/C][C]-0.292968884693547[/C][/ROW]
[ROW][C]Determination[/C][C]0.0858307673985807[/C][/ROW]
[ROW][C]T-Test[/C][C]-2.33357731480322[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.0231055033940909[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.0115527516970455[/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=18175&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18175&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
Mean1.9554.08183333333333
Biased Variance0.4061416666666670.133431638888889
Biased Standard Deviation0.6372924498742050.365282957293232
Covariance-0.069356779661017
Correlation-0.292968884693547
Determination0.0858307673985807
T-Test-2.33357731480322
p-value (2 sided)0.0231055033940909
p-value (1 sided)0.0115527516970455
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')