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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 17:44:38 -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/t1224546345yap3jjbqf1ua2it.htm/, Retrieved Sun, 19 May 2024 21:34:21 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=18304, Retrieved Sun, 19 May 2024 21:34:21 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact129

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Pearson Correlation] [Investigating ass...] [2007-10-22 22:08:56] [8cd6641b921d30ebe00b648d1481bba0]
F    D    [Pearson Correlation] [Q10] [2008-10-20 23:44:38] [9d7d6e0b01d5647e3f5dd21d8ef8600e] [Current]
Feedback Forum
2008-10-26 12:19:47 [Kevin Neelen] [reply] 
De studente heeft slechts 2 verbanden onderzocht. Misschien had dit voor alle tijdreeksen gedaan kunnen worden en zouden er eventueel verbanden ontdekt kunnen worden die op het eerste zicht niet leken te bestaan.
Dit is misschien wel gebeurd geweest door de studente, maar deze computations van die correlations staan niet vermeld in het Word-document om te bewijzen dat alle tijdreeksenn onderling wel degelijk ongezocht zijn geweest (en niet gewoon 'uit het oog verloren zijn').

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
117,7
124,6
144,4
109,6
117,9
122,2
89,3
78,4
119,1
110,3
118,3
105,5
97,7
101,5
119,6
108,1
117,8
125,5
89,1
92,3
104,5
122,8
96
94,5
93,4
101,1
114,2
104,8
113,3
118,2
83,6
73,9
99,5
97,7
103
106,3
92,2
101,8
122,8
111,8
106,3
121,5
81,9
85,4
110,9
117,3
106,3
105,6
101,2
105,9
126,3
111,9
108,9
127,2
94,2
85,7
116,2
107,2
110,5
112
104,4
112
132,8
110,8
128,7
136,8
94,8
88,8
123,2
125,3
122,7
125,8
116,3
118,6
142,1
127,9
132
152,4
110,8
99,1
134,9
133,2
131
133,9
119,9
137
148,9
145,1
142,4
159,6
120,7
Dataseries Y:
Download CSV
Histogram 
96,1
101,7
109,9
98,1
102,4
110
71,6
74,8
110,3
109,2
104,9
100,6
85
95,9
108,9
96,1
100,1
105,8
64,4
66,9
110,4
96,1
102,5
97,6
83,6
86,5
96
91
87,2
84,5
59,1
61,6
98,8
97,9
92,8
84,2
74,6
79,8
86,7
79,8
87
91,3
58,7
62,8
87,8
90,4
80,6
73,5
71,5
70,6
78,3
76
77,4
80,9
63,5
58
88,2
81,2
84,9
76,4
71,5
76,1
82,9
78,1
82
84,7
55,7
59,5
83,2
87,6
76,2
76,4
68,2
70
76,3
70,9
72,5
80,1
57,4
62,7
82,6
88,9
80,5
72,1
69,4
69,3
77,4
79,3
78,6
76,2
64

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 & 3 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18304&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]3 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=18304&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18304&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 time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean113.39120879120982.5571428571429
Biased Variance297.902999637725197.936075353218
Biased Standard Deviation17.259866732907414.0689756326898
Covariance60.3170634920635
Correlation0.245663927927946
Determination0.0603507654849868
T-Test2.39085651260360
p-value (2 sided)0.0189161249376675
p-value (1 sided)0.00945806246883374
Degrees of Freedom89
Number of Observations91

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 113.391208791209 & 82.5571428571429 \tabularnewline
Biased Variance & 297.902999637725 & 197.936075353218 \tabularnewline
Biased Standard Deviation & 17.2598667329074 & 14.0689756326898 \tabularnewline
Covariance & 60.3170634920635 \tabularnewline
Correlation & 0.245663927927946 \tabularnewline
Determination & 0.0603507654849868 \tabularnewline
T-Test & 2.39085651260360 \tabularnewline
p-value (2 sided) & 0.0189161249376675 \tabularnewline
p-value (1 sided) & 0.00945806246883374 \tabularnewline
Degrees of Freedom & 89 \tabularnewline
Number of Observations & 91 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18304&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]113.391208791209[/C][C]82.5571428571429[/C][/ROW]
[ROW][C]Biased Variance[/C][C]297.902999637725[/C][C]197.936075353218[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]17.2598667329074[/C][C]14.0689756326898[/C][/ROW]
[ROW][C]Covariance[/C][C]60.3170634920635[/C][/ROW]
[ROW][C]Correlation[/C][C]0.245663927927946[/C][/ROW]
[ROW][C]Determination[/C][C]0.0603507654849868[/C][/ROW]
[ROW][C]T-Test[/C][C]2.39085651260360[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.0189161249376675[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.00945806246883374[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]89[/C][/ROW]
[ROW][C]Number of Observations[/C][C]91[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=18304&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18304&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
Mean113.39120879120982.5571428571429
Biased Variance297.902999637725197.936075353218
Biased Standard Deviation17.259866732907414.0689756326898
Covariance60.3170634920635
Correlation0.245663927927946
Determination0.0603507654849868
T-Test2.39085651260360
p-value (2 sided)0.0189161249376675
p-value (1 sided)0.00945806246883374
Degrees of Freedom89
Number of Observations91


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')