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Description of Statistical Computation

Author's title

Workshop 2 - Vraag 10: relatie tussen duurzame consumptiegoederen en niet-d...

Author*Unverified author*
R Software Modulerwasp_correlation.wasp
Title produced by softwarePearson Correlation
Date of computationMon, 22 Oct 2007 03:33:07 -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/2007/Oct/22/23un4azsgzwfdt31193049084.htm/, Retrieved Mon, 06 May 2024 04:33:58 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=1336, Retrieved Mon, 06 May 2024 04:33:58 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsWorkshop 2, vraag 10, relatie, consumptiegoederen
Estimated Impact246

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Pearson Correlation] [Workshop 2 - Vraa...] [2007-10-22 10:33:07] [014bfc073eb4f6c1ae65a07cc44c50c0] [Current]
-    D    [Pearson Correlation] [Associatie tussen...] [2007-11-05 10:12:41] [74be16979710d4c4e7c6647856088456]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
106,7
100,6
101,2
93,1
84,2
85,8
91,8
92,4
80,3
79,7
62,5
57,1
100,8
100,7
86,2
83,2
71,7
77,5
89,8
80,3
78,7
93,8
57,6
60,6
91,0
85,3
77,4
77,3
68,3
69,9
81,7
75,1
69,9
84,0
54,3
60,0
89,9
77,0
85,3
77,6
69,2
75,5
85,7
72,2
79,9
85,3
52,2
61,2
82,4
85,4
78,2
70,2
70,2
69,3
77,5
66,1
69,0
75,3
58,2
59,7
Dataseries Y:
Download CSV
Histogram 
112,7
118,4
108,1
105,4
114,6
106,9
115,9
109,8
101,8
114,2
110,8
108,4
127,5
128,6
116,6
127,4
105,0
108,3
125,0
111,6
106,5
130,3
115,0
116,1
134,0
126,5
125,8
136,4
114,9
110,9
125,5
116,8
116,8
125,5
104,2
115,1
132,8
123,3
124,8
122,0
117,4
117,9
137,4
114,6
124,7
129,6
109,4
120,9
134,9
136,3
133,2
127,2
122,7
120,5
137,8
119,1
124,3
134,3
121,7
125,0

Tables (Output of Computation)





Summary of compuational 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 compuational 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=1336&T=0

[TABLE]
[ROW][C]Summary of compuational 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=1336&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=1336&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 compuational 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
Mean78.05120.151666666667
Biased Variance159.40183333333389.3981638888889
Biased Standard Deviation12.62544388658619.45506022661352
Covariance27.1366949152542
Correlation0.223535630688955
Determination0.0499681781875088
T-Test1.74659285156501
p-value (2 sided)0.086002039621196
p-value (1 sided)0.043001019810598
Degrees of Freedom58
Number of Observations60

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 78.05 & 120.151666666667 \tabularnewline
Biased Variance & 159.401833333333 & 89.3981638888889 \tabularnewline
Biased Standard Deviation & 12.6254438865861 & 9.45506022661352 \tabularnewline
Covariance & 27.1366949152542 \tabularnewline
Correlation & 0.223535630688955 \tabularnewline
Determination & 0.0499681781875088 \tabularnewline
T-Test & 1.74659285156501 \tabularnewline
p-value (2 sided) & 0.086002039621196 \tabularnewline
p-value (1 sided) & 0.043001019810598 \tabularnewline
Degrees of Freedom & 58 \tabularnewline
Number of Observations & 60 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=1336&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]78.05[/C][C]120.151666666667[/C][/ROW]
[ROW][C]Biased Variance[/C][C]159.401833333333[/C][C]89.3981638888889[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]12.6254438865861[/C][C]9.45506022661352[/C][/ROW]
[ROW][C]Covariance[/C][C]27.1366949152542[/C][/ROW]
[ROW][C]Correlation[/C][C]0.223535630688955[/C][/ROW]
[ROW][C]Determination[/C][C]0.0499681781875088[/C][/ROW]
[ROW][C]T-Test[/C][C]1.74659285156501[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.086002039621196[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.043001019810598[/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=1336&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=1336&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
Mean78.05120.151666666667
Biased Variance159.40183333333389.3981638888889
Biased Standard Deviation12.62544388658619.45506022661352
Covariance27.1366949152542
Correlation0.223535630688955
Determination0.0499681781875088
T-Test1.74659285156501
p-value (2 sided)0.086002039621196
p-value (1 sided)0.043001019810598
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')