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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 computationMon, 21 Nov 2011 12:29:30 -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/21/t1321896591k6h5edejf5e9nuy.htm/, Retrieved Wed, 24 Apr 2024 00:49:26 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=145846, Retrieved Wed, 24 Apr 2024 00:49:26 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact72

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Pearson Correlation] [] [2011-11-21 17:29:30] [44862125718ce971d51d71f1796e585f] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
3
1
3
1
2
1
1
2
1
2
3
2
1
1
2
1
1
3
3
2
1
3
1
1
2
3
1
2
1
1
1
2
1
1
1
1
3
3
3
3
1
2
1
3
1
1
1
1
1
2
1
2
3
3
3
1
2
1
1
1
Dataseries Y:
Download CSV
Histogram 
280
135
320
158
30
125
190
35
105
45
105
55
25
35
20
65
25
30
80
30
25
190
25
40
45
85
90
45
90
60
40
95
55
95
90
40
120
15
50
110
110
240
140
110
30
35
95
140
120
40
55
90
35
230
110
60
25
115
110
60

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'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=145846&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=145846&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=145846&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'Gertrude Mary Cox' @ cox.wessa.net






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean1.7166666666666787.4666666666667
Biased Variance0.7030555555555564191.48222222222
Biased Standard Deviation0.83848408187368464.7416575492335
Covariance13.1175141242938
Correlation0.237614897301872
Determination0.0564608394197794
T-Test1.86297787508616
p-value (2 sided)0.0675317356174396
p-value (1 sided)0.0337658678087198
Degrees of Freedom58
Number of Observations60

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 1.71666666666667 & 87.4666666666667 \tabularnewline
Biased Variance & 0.703055555555556 & 4191.48222222222 \tabularnewline
Biased Standard Deviation & 0.838484081873684 & 64.7416575492335 \tabularnewline
Covariance & 13.1175141242938 \tabularnewline
Correlation & 0.237614897301872 \tabularnewline
Determination & 0.0564608394197794 \tabularnewline
T-Test & 1.86297787508616 \tabularnewline
p-value (2 sided) & 0.0675317356174396 \tabularnewline
p-value (1 sided) & 0.0337658678087198 \tabularnewline
Degrees of Freedom & 58 \tabularnewline
Number of Observations & 60 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=145846&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]1.71666666666667[/C][C]87.4666666666667[/C][/ROW]
[ROW][C]Biased Variance[/C][C]0.703055555555556[/C][C]4191.48222222222[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]0.838484081873684[/C][C]64.7416575492335[/C][/ROW]
[ROW][C]Covariance[/C][C]13.1175141242938[/C][/ROW]
[ROW][C]Correlation[/C][C]0.237614897301872[/C][/ROW]
[ROW][C]Determination[/C][C]0.0564608394197794[/C][/ROW]
[ROW][C]T-Test[/C][C]1.86297787508616[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.0675317356174396[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.0337658678087198[/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=145846&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=145846&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
Mean1.7166666666666787.4666666666667
Biased Variance0.7030555555555564191.48222222222
Biased Standard Deviation0.83848408187368464.7416575492335
Covariance13.1175141242938
Correlation0.237614897301872
Determination0.0564608394197794
T-Test1.86297787508616
p-value (2 sided)0.0675317356174396
p-value (1 sided)0.0337658678087198
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')