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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, 23 Nov 2010 16:23:05 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Nov/23/t1290529273nat5jppvoqus93b.htm/, Retrieved Fri, 29 Mar 2024 07:51:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=99382, Retrieved Fri, 29 Mar 2024 07:51:46 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact128
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Multiple Regression] [Competence to learn] [2010-11-17 07:43:53] [b98453cac15ba1066b407e146608df68]
- RMPD  [Pearson Correlation] [Correlatie belong...] [2010-11-19 18:01:17] [97ad38b1c3b35a5feca8b85f7bc7b3ff]
-    D      [Pearson Correlation] [] [2010-11-23 16:23:05] [f9aa24c2294a5d3925c7278aa2e9a372] [Current]
-    D        [Pearson Correlation] [] [2010-11-23 16:28:25] [ed939ef6f97e5f2afb6796311d9e7a5f]
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Dataseries X:
24
25
17
18
18
16
20
16
18
17
23
30
23
18
15
12
21
15
20
31
27
19
16
21
17
25
17
32
33
13
32
25
18
17
20
15
33
23
20
11
26
15
12
14
17
21
16
10
29
31
9
20
30
21
21
20
23
21
19
16
22
30
18
23
25
28
9
16
25
29
14
22
20
15
22
16
22
30
16
20
Dataseries Y:
14
11
6
12
8
10
10
11
16
11
13
12
8
12
11
4
9
8
8
14
15
11
8
9
9
8
9
16
11
16
12
12
10
9
10
12
14
14
10
6
13
11
7
15
9
10
10
10
11
8
13
11
9
12
12
8
14
11
10
11
10
12
8
14
14
8
6
8
14
11
11
14
11
8
11
8
13
12
9
7




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 2 seconds \tabularnewline
R Server & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=99382&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=99382&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=99382&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk







Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean20.5510.6625
Biased Variance34.59756.49859375
Biased Standard Deviation5.881963957727042.54923395356331
Covariance5.65632911392405
Correlation0.37251153206565
Determination0.138764841521898
T-Test3.5450808799346
p-value (2 sided)0.00066710976109352
p-value (1 sided)0.00033355488054676
Degrees of Freedom78
Number of Observations80

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 20.55 & 10.6625 \tabularnewline
Biased Variance & 34.5975 & 6.49859375 \tabularnewline
Biased Standard Deviation & 5.88196395772704 & 2.54923395356331 \tabularnewline
Covariance & 5.65632911392405 \tabularnewline
Correlation & 0.37251153206565 \tabularnewline
Determination & 0.138764841521898 \tabularnewline
T-Test & 3.5450808799346 \tabularnewline
p-value (2 sided) & 0.00066710976109352 \tabularnewline
p-value (1 sided) & 0.00033355488054676 \tabularnewline
Degrees of Freedom & 78 \tabularnewline
Number of Observations & 80 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=99382&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]20.55[/C][C]10.6625[/C][/ROW]
[ROW][C]Biased Variance[/C][C]34.5975[/C][C]6.49859375[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]5.88196395772704[/C][C]2.54923395356331[/C][/ROW]
[ROW][C]Covariance[/C][C]5.65632911392405[/C][/ROW]
[ROW][C]Correlation[/C][C]0.37251153206565[/C][/ROW]
[ROW][C]Determination[/C][C]0.138764841521898[/C][/ROW]
[ROW][C]T-Test[/C][C]3.5450808799346[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.00066710976109352[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.00033355488054676[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]78[/C][/ROW]
[ROW][C]Number of Observations[/C][C]80[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=99382&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=99382&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
StatisticVariable XVariable Y
Mean20.5510.6625
Biased Variance34.59756.49859375
Biased Standard Deviation5.881963957727042.54923395356331
Covariance5.65632911392405
Correlation0.37251153206565
Determination0.138764841521898
T-Test3.5450808799346
p-value (2 sided)0.00066710976109352
p-value (1 sided)0.00033355488054676
Degrees of Freedom78
Number of Observations80



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')