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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 computationSun, 19 Oct 2008 14:03:15 -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/19/t12244466394yv9bw2zk661dni.htm/, Retrieved Fri, 17 May 2024 05:08:12 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=17097, Retrieved Fri, 17 May 2024 05:08:12 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact173

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] [Investigating ass...] [2008-10-19 17:29:06] [cbd3d88cd5aad6543e769146e7e26b0c]
F R  D    [Pearson Correlation] [Investigating ass...] [2008-10-19 17:36:46] [cbd3d88cd5aad6543e769146e7e26b0c]
F    D      [Pearson Correlation] [Investigating ass...] [2008-10-19 17:44:01] [cbd3d88cd5aad6543e769146e7e26b0c]
-   PD          [Pearson Correlation] [pearsons correlat...] [2008-10-19 20:03:15] [95d95b0e883740fcbc85e18ec42dcafb] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
5014
6153
6441
5584
6427
6062
5589
6216
5809
4989
6706
7174
6122
8075
6292
6337
8576
6077
5931
6288
7167
6054
6468
6401
6927
7914
7728
8699
8522
6481
7502
7778
7424
6941
8574
9169
7701
9035
7158
8195
8124
7073
7017
7390
7776
6197
6889
7087
6485
7654
6501
6313
7826
6589
6729
5684
8105
6391
5901
6758
Dataseries Y:
Download CSV
Histogram 
1712
2641
2267
2126
2231
1517
2010
2628
2115
1829
1636
1787
2122
2620
2555
2337
2524
1801
2417
2389
2267
2135
1760
1905
2176
2344
2673
2766
2785
2003
2588
2739
2703
2464
1974
2164
2385
2936
2700
2855
2764
1808
2588
2600
2526
2259
1738
1902
2137
2460
2495
2525
2465
1828
2273
2377
2344
2071
1611
1671

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=17097&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=17097&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=17097&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 time1 seconds
R Server'George Udny Yule' @ 72.249.76.132






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean6936.483333333332267.13333333333
Biased Variance938592.049722222130691.648888889
Biased Standard Deviation968.809604474596361.512999612585
Covariance183919.341242938
Correlation0.516375715434594
Determination0.266643879490588
T-Test4.59221640845517
p-value (2 sided)2.40683305707812e-05
p-value (1 sided)1.20341652853906e-05
Degrees of Freedom58
Number of Observations60

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 6936.48333333333 & 2267.13333333333 \tabularnewline
Biased Variance & 938592.049722222 & 130691.648888889 \tabularnewline
Biased Standard Deviation & 968.809604474596 & 361.512999612585 \tabularnewline
Covariance & 183919.341242938 \tabularnewline
Correlation & 0.516375715434594 \tabularnewline
Determination & 0.266643879490588 \tabularnewline
T-Test & 4.59221640845517 \tabularnewline
p-value (2 sided) & 2.40683305707812e-05 \tabularnewline
p-value (1 sided) & 1.20341652853906e-05 \tabularnewline
Degrees of Freedom & 58 \tabularnewline
Number of Observations & 60 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=17097&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]6936.48333333333[/C][C]2267.13333333333[/C][/ROW]
[ROW][C]Biased Variance[/C][C]938592.049722222[/C][C]130691.648888889[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]968.809604474596[/C][C]361.512999612585[/C][/ROW]
[ROW][C]Covariance[/C][C]183919.341242938[/C][/ROW]
[ROW][C]Correlation[/C][C]0.516375715434594[/C][/ROW]
[ROW][C]Determination[/C][C]0.266643879490588[/C][/ROW]
[ROW][C]T-Test[/C][C]4.59221640845517[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]2.40683305707812e-05[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]1.20341652853906e-05[/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=17097&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=17097&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
Mean6936.483333333332267.13333333333
Biased Variance938592.049722222130691.648888889
Biased Standard Deviation968.809604474596361.512999612585
Covariance183919.341242938
Correlation0.516375715434594
Determination0.266643879490588
T-Test4.59221640845517
p-value (2 sided)2.40683305707812e-05
p-value (1 sided)1.20341652853906e-05
Degrees of Freedom58
Number of Observations60


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = grey ; par2 = grey ; par3 = TRUE ; par4 = bouwvergunningen ; par5 = werkelijk begonnen woningen ;
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')