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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_correlation.wasp

Title produced by software

Pearson Correlation

Date of computation

Mon, 19 Oct 2009 16:42:33 -0600

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Oct/20/t1255992242zfpsjdq71vqjrtd.htm/, Retrieved Fri, 03 May 2024 00:55:33 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=48299, Retrieved Fri, 03 May 2024 00:55:33 +0000

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Original text written by user:

Bij X heb ik Y(t) / X(t) opgegeven

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

144

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [Pearson Correlation] [Part 2.3] [2009-10-19 22:42:33] [852eae237d08746109043531619a60c9] [Current]

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Dataseries X:

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Histogram

Boxplots

1.026315789
1.052631579
1.051948052
1,037974684
1.024691358
1
0.975609756
0.975308642
0.938271605
0,938271605
1.012195122
1.037037037
1.024390244
1.012048193
1
1.011764706
1.034883721
1.035294118
1
0.961538462
0,923076923
0.925
1.023255814
1.04494382
1.04494382
1.011627907
0.987951807
1
1.024096386
1.023809524
1
0.976190476
0.941860465
0.929411765
1.011764706
1.023529412
1.023529412
1
0.988235294
1
1.023529412
1.023529412
1.011764706
1
0.965116279
0.952380952
1.012345679
1.0125
1.0125
1
0,9875
1
1.025641026
1.025641026
1
0,987654321
0.9625
0.947368421
1.02739726
1.042857143
1.029411765
1
0.985915493
1
1.028169014
1.028985507
1.014925373
0.955223881
0,924242424
0.942028986
1.054794521
1.053333333
1.02739726
0.971830986
0.956521739
0.971830986
1.026666667
1.038961039
1.025641026
0.987179487
0.948051948
0.961038961
1.038461538

Dataseries Y:

Download CSV

Histogram

7.8
8
8.1
8.2
8.3
8.2
8
7.9
7.6
7.6
8.3
8.4
8.4
8.4
8.4
8.6
8.9
8.8
8.3
7.5
7.2
7.4
8.8
9.3
9.3
8.7
8.2
8.3
8.5
8.6
8.5
8.2
8.1
7.9
8.6
8.7
8.7
8.5
8.4
8.5
8.7
8.7
8.6
8.5
8.3
8
8.2
8.1
8.1
8
7.9
7.9
8
8
7.9
8
7.7
7.2
7.5
7.3
7
7
7
7.2
7.3
7.1
6.8
6.4
6.1
6.5
7.7
7.9
7.5
6.9
6.6
6.9
7.7
8
8
7.7
7.3
7.4
8.1

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 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=48299&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=48299&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=48299&T=0

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

Pearson Product Moment Correlation - Ungrouped Data
Statistic	Variable X	Variable Y
Mean	1.00053300933735	7.93734939759036
Biased Variance	0.00117648929712314	0.427400203222529
Biased Standard Deviation	0.0342999897539801	0.653758520573559
Covariance	0.0110984563031002
Correlation	0.488975370023218
Determination	0.239096912489343
T-Test	5.04504239711564
p-value (2 sided)	2.72636339704313e-06
p-value (1 sided)	1.36318169852157e-06
Degrees of Freedom	81
Number of Observations	83

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 1.00053300933735 & 7.93734939759036 \tabularnewline
Biased Variance & 0.00117648929712314 & 0.427400203222529 \tabularnewline
Biased Standard Deviation & 0.0342999897539801 & 0.653758520573559 \tabularnewline
Covariance & 0.0110984563031002 \tabularnewline
Correlation & 0.488975370023218 \tabularnewline
Determination & 0.239096912489343 \tabularnewline
T-Test & 5.04504239711564 \tabularnewline
p-value (2 sided) & 2.72636339704313e-06 \tabularnewline
p-value (1 sided) & 1.36318169852157e-06 \tabularnewline
Degrees of Freedom & 81 \tabularnewline
Number of Observations & 83 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=48299&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]1.00053300933735[/C][C]7.93734939759036[/C][/ROW]
[ROW][C]Biased Variance[/C][C]0.00117648929712314[/C][C]0.427400203222529[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]0.0342999897539801[/C][C]0.653758520573559[/C][/ROW]
[ROW][C]Covariance[/C][C]0.0110984563031002[/C][/ROW]
[ROW][C]Correlation[/C][C]0.488975370023218[/C][/ROW]
[ROW][C]Determination[/C][C]0.239096912489343[/C][/ROW]
[ROW][C]T-Test[/C][C]5.04504239711564[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]2.72636339704313e-06[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]1.36318169852157e-06[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]81[/C][/ROW]
[ROW][C]Number of Observations[/C][C]83[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=48299&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=48299&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Pearson Product Moment Correlation - Ungrouped Data
Statistic	Variable X	Variable Y
Mean	1.00053300933735	7.93734939759036
Biased Variance	0.00117648929712314	0.427400203222529
Biased Standard Deviation	0.0342999897539801	0.653758520573559
Covariance	0.0110984563031002
Correlation	0.488975370023218
Determination	0.239096912489343
T-Test	5.04504239711564
p-value (2 sided)	2.72636339704313e-06
p-value (1 sided)	1.36318169852157e-06
Degrees of Freedom	81
Number of Observations	83

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 0.05 ;

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code