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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 16:07:33 -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/t1224540514ml94ujxgxn8i0z3.htm/, Retrieved Fri, 17 May 2024 11:42:07 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=18238, Retrieved Fri, 17 May 2024 11:42:07 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact184

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] [cf9c64468d04c2c4dd548cc66b4e3677]
F    D        [Pearson Correlation] [Q10 assosications...] [2008-10-20 22:07:33] [e4cb5a8878d0401c2e8d19a1768b515b] [Current]
Feedback Forum
2008-10-24 10:29:16 [Kim Wester] [reply] 
Correct. De reden dat hier weinig correlatie is valt wellicht te wijten aan de outliers middenboven.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
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
Dataseries Y:
Download CSV
Histogram 
112,5
111,3
104,5
112,3
109
110,3
114,1
108,3
112,1
114,5
110,3
112,6
108,2
110,5
115,1
115,9
112,6
115,3
113,8
111,2
119,9
107,3
110,9
117,8
112,7
111,8
102,1
115,5
109,4
114,8
111,8
114,8
111,1
107,1
112,5
113,5
115,3
114,7
116,9
113,7
123,8
117,6
118,1
120,7
120,8
125,7
125
124
123,4
125,1
124,4
121,1
122,5
142,4
133,8
131,4
126,7
128,7
110,7
110,2

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=18238&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=18238&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18238&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
Mean84.8483333333333116.068333333333
Biased Variance7.6171638888888954.5141638888889
Biased Standard Deviation2.759920993233127.38337076739946
Covariance7.61392937853108
Correlation0.367416180293468
Determination0.134994649541442
T-Test3.00858910015670
p-value (2 sided)0.00387854976004287
p-value (1 sided)0.00193927488002144
Degrees of Freedom58
Number of Observations60

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 84.8483333333333 & 116.068333333333 \tabularnewline
Biased Variance & 7.61716388888889 & 54.5141638888889 \tabularnewline
Biased Standard Deviation & 2.75992099323312 & 7.38337076739946 \tabularnewline
Covariance & 7.61392937853108 \tabularnewline
Correlation & 0.367416180293468 \tabularnewline
Determination & 0.134994649541442 \tabularnewline
T-Test & 3.00858910015670 \tabularnewline
p-value (2 sided) & 0.00387854976004287 \tabularnewline
p-value (1 sided) & 0.00193927488002144 \tabularnewline
Degrees of Freedom & 58 \tabularnewline
Number of Observations & 60 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18238&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]84.8483333333333[/C][C]116.068333333333[/C][/ROW]
[ROW][C]Biased Variance[/C][C]7.61716388888889[/C][C]54.5141638888889[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]2.75992099323312[/C][C]7.38337076739946[/C][/ROW]
[ROW][C]Covariance[/C][C]7.61392937853108[/C][/ROW]
[ROW][C]Correlation[/C][C]0.367416180293468[/C][/ROW]
[ROW][C]Determination[/C][C]0.134994649541442[/C][/ROW]
[ROW][C]T-Test[/C][C]3.00858910015670[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.00387854976004287[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.00193927488002144[/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=18238&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18238&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
Mean84.8483333333333116.068333333333
Biased Variance7.6171638888888954.5141638888889
Biased Standard Deviation2.759920993233127.38337076739946
Covariance7.61392937853108
Correlation0.367416180293468
Determination0.134994649541442
T-Test3.00858910015670
p-value (2 sided)0.00387854976004287
p-value (1 sided)0.00193927488002144
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')