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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 computationWed, 11 Nov 2009 12:36:06 -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/2009/Nov/11/t1257968212hnmk3stkprc39e8.htm/, Retrieved Thu, 28 Mar 2024 14:45:00 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=55827, Retrieved Thu, 28 Mar 2024 14:45:00 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact146
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Bivariate Data Series] [Bivariate dataset] [2008-01-05 23:51:08] [74be16979710d4c4e7c6647856088456]
- RMPD  [Bivariate Explorative Data Analysis] [WS4 Bivariate EDA...] [2009-10-27 17:41:15] [1d635fe1113b56bab3f378c464a289bc]
-    D    [Bivariate Explorative Data Analysis] [WS304] [2009-10-29 11:36:59] [4a2be4899cba879e4eea9daa25281df8]
- RMPD      [Trivariate Scatterplots] [Workshop 5.1] [2009-11-11 19:06:58] [4a2be4899cba879e4eea9daa25281df8]
- RMPD        [Bivariate Explorative Data Analysis] [Workshop 5.5] [2009-11-11 19:33:35] [4a2be4899cba879e4eea9daa25281df8]
- RMPD            [Pearson Correlation] [Workshop 5.6] [2009-11-11 19:36:06] [71c065898bd1c08eef04509b4bcee039] [Current]
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Dataseries X:
79.8
88.8
106
102.6
96.4
94
86.8
88.1
96.9
95.3
90.6
106.8
73.4
88.2
105.6
98.2
101.1
94.4
90.9
92.5
107.3
92.5
102
107.3
78.5
93.9
108.1
109.6
105.9
94.9
98.8
98.2
111.9
99.1
102.5
110.8
85.8
97.6
106.1
116.1
107.1
93.5
103.9
106
103.4
111.2
103.3
109.8
88.8
92.5
109.9
109.6
93.6
88.1
83.9
85.5
95.2
86.4
84.4
95.2
Dataseries Y:
31.394
29.799
33.728
39.010
33.598
24.992
51.347
45.498
52.413
48.461
41.647
49.471
32.666
33.283
35.532
36.928
35.572
20.870
58.453
54.854
65.425
51.469
51.035
46.526
35.619
33.153
35.078
41.552
34.752
21.108
56.020
49.126
59.604
47.997
47.363
50.380
39.967
34.045
36.748
46.234
36.464
23.772
57.165
56.276
57.547
62.183
48.820
51.052
39.540
33.113
38.010
43.175
30.501
21.862
47.942
46.055
50.633
48.020
38.298
44.009




Summary of computational 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 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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=55827&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=55827&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=55827&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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean97.576666666666742.4525666666667
Biased Variance89.2134555555555112.378340845556
Biased Standard Deviation9.4452874787142210.6008650989226
Covariance33.5424032768362
Correlation0.329411266424994
Determination0.108511782447718
T-Test2.65701888772153
p-value (2 sided)0.0101668532523211
p-value (1 sided)0.00508342662616057
Degrees of Freedom58
Number of Observations60

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 97.5766666666667 & 42.4525666666667 \tabularnewline
Biased Variance & 89.2134555555555 & 112.378340845556 \tabularnewline
Biased Standard Deviation & 9.44528747871422 & 10.6008650989226 \tabularnewline
Covariance & 33.5424032768362 \tabularnewline
Correlation & 0.329411266424994 \tabularnewline
Determination & 0.108511782447718 \tabularnewline
T-Test & 2.65701888772153 \tabularnewline
p-value (2 sided) & 0.0101668532523211 \tabularnewline
p-value (1 sided) & 0.00508342662616057 \tabularnewline
Degrees of Freedom & 58 \tabularnewline
Number of Observations & 60 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=55827&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]97.5766666666667[/C][C]42.4525666666667[/C][/ROW]
[ROW][C]Biased Variance[/C][C]89.2134555555555[/C][C]112.378340845556[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]9.44528747871422[/C][C]10.6008650989226[/C][/ROW]
[ROW][C]Covariance[/C][C]33.5424032768362[/C][/ROW]
[ROW][C]Correlation[/C][C]0.329411266424994[/C][/ROW]
[ROW][C]Determination[/C][C]0.108511782447718[/C][/ROW]
[ROW][C]T-Test[/C][C]2.65701888772153[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.0101668532523211[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.00508342662616057[/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=55827&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=55827&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
Mean97.576666666666742.4525666666667
Biased Variance89.2134555555555112.378340845556
Biased Standard Deviation9.4452874787142210.6008650989226
Covariance33.5424032768362
Correlation0.329411266424994
Determination0.108511782447718
T-Test2.65701888772153
p-value (2 sided)0.0101668532523211
p-value (1 sided)0.00508342662616057
Degrees of Freedom58
Number of Observations60



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')