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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 computationTue, 15 Nov 2011 14:52:32 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Nov/15/t1321386824l3v74ovcm0ww1fl.htm/, Retrieved Tue, 30 Apr 2024 07:49:43 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=143460, Retrieved Tue, 30 Apr 2024 07:49:43 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact83

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Linear Regression Graphical Model Validation] [Colombia Coffee -...] [2008-02-26 10:22:06] [74be16979710d4c4e7c6647856088456]
-  M D  [Linear Regression Graphical Model Validation] [Lineaire regressi...] [2010-11-14 18:04:29] [65eb19f81eab2b6e672eafaed2a27190]
-         [Linear Regression Graphical Model Validation] [Ouders met hoge v...] [2010-11-17 09:23:01] [2c786c21adba4dd4c8af44dce5258f06]
- RMPD        [Pearson Correlation] [Correlation Hypot...] [2011-11-15 19:52:32] [5959e8d69ed0f77745135d9c4c7e0d16] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
41
39
30
31
34
35
39
34
36
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35
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37
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33
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35
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29
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35
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29
39
37
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37
32
38
37
36
32
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40
38
41
36
43
30
31
32
32
37
37
33
34
33
38
33
31
38
37
33
31
39
44
33
35
32
28
40
27
37
32
28
34
30
35
31
32
30
30
31
40
32
36
32
35
38
42
34
35
35
33
36
32
33
34
32
34
Dataseries Y:
Download CSV
Histogram 
12
11
15
6
13
10
12
14
12
6
10
12
12
11
15
12
10
12
11
12
11
12
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11
9
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10
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12
10
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8
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7
6
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10
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7
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12
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6
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15
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11
8
8

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'Herman Ole Andreas Wold' @ wold.wessa.net

\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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=143460&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=143460&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=143460&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'Herman Ole Andreas Wold' @ wold.wessa.net






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean34.623456790123511.0555555555556
Biased Variance11.32117817405884.55864197530864
Biased Standard Deviation3.364695851642292.13509765006396
Covariance0.449620427881297
Correlation0.0622004233778043
Determination0.0038688926683781
T-Test0.788306451542058
p-value (2 sided)0.431683869041397
p-value (1 sided)0.215841934520698
Degrees of Freedom160
Number of Observations162

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 34.6234567901235 & 11.0555555555556 \tabularnewline
Biased Variance & 11.3211781740588 & 4.55864197530864 \tabularnewline
Biased Standard Deviation & 3.36469585164229 & 2.13509765006396 \tabularnewline
Covariance & 0.449620427881297 \tabularnewline
Correlation & 0.0622004233778043 \tabularnewline
Determination & 0.0038688926683781 \tabularnewline
T-Test & 0.788306451542058 \tabularnewline
p-value (2 sided) & 0.431683869041397 \tabularnewline
p-value (1 sided) & 0.215841934520698 \tabularnewline
Degrees of Freedom & 160 \tabularnewline
Number of Observations & 162 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=143460&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]34.6234567901235[/C][C]11.0555555555556[/C][/ROW]
[ROW][C]Biased Variance[/C][C]11.3211781740588[/C][C]4.55864197530864[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]3.36469585164229[/C][C]2.13509765006396[/C][/ROW]
[ROW][C]Covariance[/C][C]0.449620427881297[/C][/ROW]
[ROW][C]Correlation[/C][C]0.0622004233778043[/C][/ROW]
[ROW][C]Determination[/C][C]0.0038688926683781[/C][/ROW]
[ROW][C]T-Test[/C][C]0.788306451542058[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.431683869041397[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.215841934520698[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]160[/C][/ROW]
[ROW][C]Number of Observations[/C][C]162[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=143460&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=143460&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
Mean34.623456790123511.0555555555556
Biased Variance11.32117817405884.55864197530864
Biased Standard Deviation3.364695851642292.13509765006396
Covariance0.449620427881297
Correlation0.0622004233778043
Determination0.0038688926683781
T-Test0.788306451542058
p-value (2 sided)0.431683869041397
p-value (1 sided)0.215841934520698
Degrees of Freedom160
Number of Observations162


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')