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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 computationMon, 22 Oct 2007 02:34:14 -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/2007/Oct/22/duru23iqrwlnlo11193045378.htm/, Retrieved Mon, 06 May 2024 07:48:02 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=1441, Retrieved Mon, 06 May 2024 07:48:02 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsdeel 1, ws1, groep 1, vraag 10
Estimated Impact182

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Pearson Correlation] [vraag 10, deel 1,...] [2007-10-22 09:34:14] [234bcf6fb77cd83fa17f2489a043102b] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
19,1
20,8
20,8
20,8
19,0
19,0
19,0
15,2
15,2
15,2
19,9
19,9
19,9
19,0
19,0
19,0
19,9
19,9
19,9
17,5
17,5
17,5
26,6
26,6
26,6
20,8
20,8
20,8
18,9
18,9
18,9
19,5
19,5
19,5
27,1
27,1
27,1
24,1
24,1
24,1
21,3
21,3
21,3
19,1
19,1
19,1
26,2
26,2
26,2
21,7
21,7
21,7
19,4
19,4
19,4
19,5
19,5
19,5
28,7
28,7
28,7
21,8
21,8
21,8
20,0
20,0
20,0
22,6
22,6
22,6
24,6
24,6
24,6
Dataseries Y:
Download CSV
Histogram 
5,8
7,3
7,0
7,0
7,8
7,8
7,8
7,0
7,0
7,0
8,0
7,9
7,9
7,3
7,3
7,4
7,7
7,7
7,7
7,0
7,0
7,1
7,3
7,3
7,4
7,9
7,7
7,8
8,6
8,6
8,6
7,0
7,0
7,1
8,7
8,9
8,9
7,9
7,8
7,9
8,2
8,2
8,2
7,9
7,9
7,9
8,5
8,5
8,5
8,0
7,8
7,9
8,3
8,2
8,1
7,9
8,0
8,0
7,7
7,7
7,6
7,8
7,6
7,6
8,1
8,0
7,8
7,4
7,3
7,2
7,4
7,5
7,2

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=1441&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=1441&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=1441&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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean21.35205479452057.72328767123288
Biased Variance10.35235879151810.293567273409645
Biased Standard Deviation3.217508164949720.541818487511865
Covariance0.530854261796043
Correlation0.300338818062215
Determination0.0902034056350086
T-Test2.65319083413068
p-value (2 sided)0.00983134625472637
p-value (1 sided)0.00491567312736318
Degrees of Freedom71
Number of Observations73

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 21.3520547945205 & 7.72328767123288 \tabularnewline
Biased Variance & 10.3523587915181 & 0.293567273409645 \tabularnewline
Biased Standard Deviation & 3.21750816494972 & 0.541818487511865 \tabularnewline
Covariance & 0.530854261796043 \tabularnewline
Correlation & 0.300338818062215 \tabularnewline
Determination & 0.0902034056350086 \tabularnewline
T-Test & 2.65319083413068 \tabularnewline
p-value (2 sided) & 0.00983134625472637 \tabularnewline
p-value (1 sided) & 0.00491567312736318 \tabularnewline
Degrees of Freedom & 71 \tabularnewline
Number of Observations & 73 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=1441&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]21.3520547945205[/C][C]7.72328767123288[/C][/ROW]
[ROW][C]Biased Variance[/C][C]10.3523587915181[/C][C]0.293567273409645[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]3.21750816494972[/C][C]0.541818487511865[/C][/ROW]
[ROW][C]Covariance[/C][C]0.530854261796043[/C][/ROW]
[ROW][C]Correlation[/C][C]0.300338818062215[/C][/ROW]
[ROW][C]Determination[/C][C]0.0902034056350086[/C][/ROW]
[ROW][C]T-Test[/C][C]2.65319083413068[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.00983134625472637[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.00491567312736318[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]71[/C][/ROW]
[ROW][C]Number of Observations[/C][C]73[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=1441&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=1441&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
Mean21.35205479452057.72328767123288
Biased Variance10.35235879151810.293567273409645
Biased Standard Deviation3.217508164949720.541818487511865
Covariance0.530854261796043
Correlation0.300338818062215
Determination0.0902034056350086
T-Test2.65319083413068
p-value (2 sided)0.00983134625472637
p-value (1 sided)0.00491567312736318
Degrees of Freedom71
Number of Observations73


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')