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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, 04 Oct 2010 18:32:37 +0000

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/2010/Oct/04/t1286217101obwgflwpglylpw6.htm/, Retrieved Sun, 28 Apr 2024 02:05:52 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=80911, Retrieved Sun, 28 Apr 2024 02:05:52 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

127

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

F     [Pearson Correlation] [Screen dimensions] [2010-09-25 10:10:17] [b98453cac15ba1066b407e146608df68]
F    D    [Pearson Correlation] [] [2010-10-04 18:32:37] [0605ea080d54454c99180f574351b8e4] [Current]

Feedback Forum

2010-10-10 08:58:26 [1951de723fd2749e12bc2f1a75bd3e74] [reply] 
Bij deze opdracht moet niets herberekend worden. 
Je ziet 2 histogrammen naast de y- en x-as. Er zijn nogal wat schermen met exact of ongeveer dezelfde aantal pixels, dat zie je in het histogram aan de piek. Bij de bolletjes zie het je het moeilijker omdat de punten op elkaar liggen.  
 
Je kan 3 lijnen/stralen zien, die een beetje divergeren, dat zijn de verhoudingen van schermen.  
2010-10-12 13:59:23 [ac60b0733d04acb78c99358c3a0e1148] [reply] 
Er zijn inderdaad 3 lijnen te onderscheiden in de puntenwolk, in plaats van 1 rechte.

Post a new message

Dataseries X:

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Histogram

Boxplots

Dataseries Y:

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Histogram

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	0 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 & 0 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=80911&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]0 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=80911&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=80911&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	0 seconds
R Server	'George Udny Yule' @ 72.249.76.132

Pearson Product Moment Correlation - Ungrouped Data
Statistic	Variable X	Variable Y
Mean	1296.05970149254	838.649253731343
Biased Variance	27726.0561372243	8648.43667854756
Biased Standard Deviation	166.511429449225	92.9969713407246
Covariance	9914.85568398608
Correlation	0.635507068928499
Determination	0.403869234658092
T-Test	9.45663405693548
p-value (2 sided)	0
p-value (1 sided)	0
Degrees of Freedom	132
Number of Observations	134

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 1296.05970149254 & 838.649253731343 \tabularnewline
Biased Variance & 27726.0561372243 & 8648.43667854756 \tabularnewline
Biased Standard Deviation & 166.511429449225 & 92.9969713407246 \tabularnewline
Covariance & 9914.85568398608 \tabularnewline
Correlation & 0.635507068928499 \tabularnewline
Determination & 0.403869234658092 \tabularnewline
T-Test & 9.45663405693548 \tabularnewline
p-value (2 sided) & 0 \tabularnewline
p-value (1 sided) & 0 \tabularnewline
Degrees of Freedom & 132 \tabularnewline
Number of Observations & 134 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=80911&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]1296.05970149254[/C][C]838.649253731343[/C][/ROW]
[ROW][C]Biased Variance[/C][C]27726.0561372243[/C][C]8648.43667854756[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]166.511429449225[/C][C]92.9969713407246[/C][/ROW]
[ROW][C]Covariance[/C][C]9914.85568398608[/C][/ROW]
[ROW][C]Correlation[/C][C]0.635507068928499[/C][/ROW]
[ROW][C]Determination[/C][C]0.403869234658092[/C][/ROW]
[ROW][C]T-Test[/C][C]9.45663405693548[/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]132[/C][/ROW]
[ROW][C]Number of Observations[/C][C]134[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=80911&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=80911&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	1296.05970149254	838.649253731343
Biased Variance	27726.0561372243	8648.43667854756
Biased Standard Deviation	166.511429449225	92.9969713407246
Covariance	9914.85568398608
Correlation	0.635507068928499
Determination	0.403869234658092
T-Test	9.45663405693548
p-value (2 sided)	0
p-value (1 sided)	0
Degrees of Freedom	132
Number of Observations	134

Figure 1

PNG link

Postscript link

PDF link

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')

Free Statistics

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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code