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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, 20 Oct 2008 16:02:21 -0600
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/Oct/21/t1224540205m632rata1eio86r.htm/, Retrieved Fri, 17 May 2024 05:08:45 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=18228, Retrieved Fri, 17 May 2024 05:08:45 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact199

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Pearson Correlation] [Q4 Clothing produ...] [2007-10-20 14:33:09] [b731da8b544846036771bbf9bf2f34ce]
F    D  [Pearson Correlation] [Q5 Correlatie tus...] [2008-10-19 19:23:19] [cf9c64468d04c2c4dd548cc66b4e3677]
F    D      [Pearson Correlation] [Q10 assosications...] [2008-10-20 22:02:21] [e4cb5a8878d0401c2e8d19a1768b515b] [Current]
F    D        [Pearson Correlation] [Q10 assosications...] [2008-10-20 22:07:33] [cf9c64468d04c2c4dd548cc66b4e3677]
F    D        [Pearson Correlation] [Q10 assosications...] [2008-10-20 22:13:26] [cf9c64468d04c2c4dd548cc66b4e3677]
-    D          [Pearson Correlation] [Q10 assosications...] [2008-10-20 22:22:07] [cf9c64468d04c2c4dd548cc66b4e3677]
F    D          [Pearson Correlation] [Q10 assosications...] [2008-10-20 22:22:07] [cf9c64468d04c2c4dd548cc66b4e3677]
F    D            [Pearson Correlation] [Q10 assosications...] [2008-10-20 22:29:16] [cf9c64468d04c2c4dd548cc66b4e3677]
Feedback Forum
2008-10-24 10:27:19 [Kim Wester] [reply] 
Correct. Visueel gezien kan het lijken dat er geen verband is tussen de observaties terwijl dit rekenkundig wel zo is, in dit geval minimaal.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
110,4
112,9
109,4
111,9
108,9
113,8
114,5
113,2
111
114,6
113,1
113,2
115,1
117,6
117,8
115,7
115,7
118,3
117,9
117,3
119,4
117,1
119
120
118,9
116
115,6
119,7
119,7
120,8
120
120,2
121,7
116,9
122,4
122,6
123,7
120,9
124,2
122,6
125,7
123,1
122,2
126,2
124,4
127,8
124,2
126,7
126,1
128,2
130,4
130,2
129,2
129,7
131
129,2
131,1
132,9
135,2
132,3
Dataseries Y:
Download CSV
Histogram 
92,1
88,5
84,6
87
83,6
84,8
84,1
84,1
80,5
82,6
85,6
83,3
86,1
84,7
85,7
84,9
84,2
85,2
86,1
86
84,5
87,2
83,5
81,9
78,5
81,1
79,2
80,9
81,8
79,4
83,4
81,1
79,8
79,7
84
83,7
83,5
83,6
86
86,8
86,9
89
87,8
86,8
88,8
85,9
86,7
87,9
88,5
88,7
88,1
85,7
86,1
85,7
84,3
86,4
85,4
86,9
85,6
86,4

Tables (Output of Computation)





Summary of computational 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 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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18228&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=18228&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18228&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 time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean120.82584.8483333333333
Biased Variance42.0038757.61716388888889
Biased Standard Deviation6.481039654253012.75992099323312
Covariance4.87097457627119
Correlation0.267778247802182
Determination0.0717051899960068
T-Test2.11663674399686
p-value (2 sided)0.0385921197283892
p-value (1 sided)0.0192960598641946
Degrees of Freedom58
Number of Observations60

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 120.825 & 84.8483333333333 \tabularnewline
Biased Variance & 42.003875 & 7.61716388888889 \tabularnewline
Biased Standard Deviation & 6.48103965425301 & 2.75992099323312 \tabularnewline
Covariance & 4.87097457627119 \tabularnewline
Correlation & 0.267778247802182 \tabularnewline
Determination & 0.0717051899960068 \tabularnewline
T-Test & 2.11663674399686 \tabularnewline
p-value (2 sided) & 0.0385921197283892 \tabularnewline
p-value (1 sided) & 0.0192960598641946 \tabularnewline
Degrees of Freedom & 58 \tabularnewline
Number of Observations & 60 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18228&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]120.825[/C][C]84.8483333333333[/C][/ROW]
[ROW][C]Biased Variance[/C][C]42.003875[/C][C]7.61716388888889[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]6.48103965425301[/C][C]2.75992099323312[/C][/ROW]
[ROW][C]Covariance[/C][C]4.87097457627119[/C][/ROW]
[ROW][C]Correlation[/C][C]0.267778247802182[/C][/ROW]
[ROW][C]Determination[/C][C]0.0717051899960068[/C][/ROW]
[ROW][C]T-Test[/C][C]2.11663674399686[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.0385921197283892[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.0192960598641946[/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=18228&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18228&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
Mean120.82584.8483333333333
Biased Variance42.0038757.61716388888889
Biased Standard Deviation6.481039654253012.75992099323312
Covariance4.87097457627119
Correlation0.267778247802182
Determination0.0717051899960068
T-Test2.11663674399686
p-value (2 sided)0.0385921197283892
p-value (1 sided)0.0192960598641946
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')