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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 computationFri, 01 Feb 2008 09:25:25 -0700
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/Feb/01/t1201883302nxvvunk5x905ino.htm/, Retrieved Mon, 13 May 2024 13:11:33 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=8093, Retrieved Mon, 13 May 2024 13:11:33 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact338

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Pearson Correlation] [] [2008-02-01 16:25:25] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
19
20
20
21
22
22
22
23
25
26
33
34
36
39
41
42
42
44
44
46
48
49
49
50
52
53
53
54
54
55
55
56
56
58
58
60
60
63
65
65
65
65
66
67
72
73
77
77
79
90
Dataseries Y:
Download CSV
Histogram 
5
3
5
3
3
4
5
5
3
2
2
4
2
3
4
3
3
3
2
4
3
3
2
4
2
9
4
5
5
5
3
3
4
3
3
2
5
4
2
3
4
4
1
3
4
2
3
3
1
1

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\begin{tabular}{lllllllll}
\hline
Summary of compuational 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=8093&T=0

[TABLE]
[ROW][C]Summary of compuational 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=8093&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=8093&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 compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean49.33.36
Biased Variance321.091.8704
Biased Standard Deviation17.91898434621781.3676256797823
Covariance-6.04897959183673
Correlation-0.241895371205519
Determination0.058513370610656
T-Test-1.72719391114396
p-value (2 sided)0.0905634788473293
p-value (1 sided)0.0452817394236647
Degrees of Freedom48
Number of Observations50

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 49.3 & 3.36 \tabularnewline
Biased Variance & 321.09 & 1.8704 \tabularnewline
Biased Standard Deviation & 17.9189843462178 & 1.3676256797823 \tabularnewline
Covariance & -6.04897959183673 \tabularnewline
Correlation & -0.241895371205519 \tabularnewline
Determination & 0.058513370610656 \tabularnewline
T-Test & -1.72719391114396 \tabularnewline
p-value (2 sided) & 0.0905634788473293 \tabularnewline
p-value (1 sided) & 0.0452817394236647 \tabularnewline
Degrees of Freedom & 48 \tabularnewline
Number of Observations & 50 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=8093&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]49.3[/C][C]3.36[/C][/ROW]
[ROW][C]Biased Variance[/C][C]321.09[/C][C]1.8704[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]17.9189843462178[/C][C]1.3676256797823[/C][/ROW]
[ROW][C]Covariance[/C][C]-6.04897959183673[/C][/ROW]
[ROW][C]Correlation[/C][C]-0.241895371205519[/C][/ROW]
[ROW][C]Determination[/C][C]0.058513370610656[/C][/ROW]
[ROW][C]T-Test[/C][C]-1.72719391114396[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.0905634788473293[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.0452817394236647[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]48[/C][/ROW]
[ROW][C]Number of Observations[/C][C]50[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=8093&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=8093&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
Mean49.33.36
Biased Variance321.091.8704
Biased Standard Deviation17.91898434621781.3676256797823
Covariance-6.04897959183673
Correlation-0.241895371205519
Determination0.058513370610656
T-Test-1.72719391114396
p-value (2 sided)0.0905634788473293
p-value (1 sided)0.0452817394236647
Degrees of Freedom48
Number of Observations50


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')