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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 14:05:19 -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/t1224446813itac3xpxfa9d0a7.htm/, Retrieved Sun, 19 May 2024 00:03:44 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=17098, Retrieved Sun, 19 May 2024 00:03:44 +0000
QR Codes:

Original text written by user:daar reeks 1 de bouwaanvragen voor zowel gebouwen als woningen bevat, is het logisch deze reeks even te vergelijken met de som van de werkelijk begonnen woningen en de werkelijk begonnen gebouwen.
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 20:05:19] [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 
4892
6792
6290
5557
6105
4134
5590
7895
5947
5270
4864
5184
6093
7245
7041
6468
7210
4975
6699
6598
6426
6071
4913
5525
6403
6785
7481
7616
7825
5549
7257
8149
7837
7328
5973
6623
7007
8296
7358
8028
7609
5133
7308
7495
7597
7154
5543
6089
6572
6935
7269
7686
6994
5112
6576
6987
7035
6271
5082
4803

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=17098&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=17098&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=17098&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
Mean6936.483333333336509.15
Biased Variance938592.0497222221012820.59416667
Biased Standard Deviation968.8096044745961006.38988178870
Covariance547539.977118644
Correlation0.552219702152608
Determination0.304946599445515
T-Test5.0444846858388
p-value (2 sided)4.78150512073228e-06
p-value (1 sided)2.39075256036614e-06
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 & 6509.15 \tabularnewline
Biased Variance & 938592.049722222 & 1012820.59416667 \tabularnewline
Biased Standard Deviation & 968.809604474596 & 1006.38988178870 \tabularnewline
Covariance & 547539.977118644 \tabularnewline
Correlation & 0.552219702152608 \tabularnewline
Determination & 0.304946599445515 \tabularnewline
T-Test & 5.0444846858388 \tabularnewline
p-value (2 sided) & 4.78150512073228e-06 \tabularnewline
p-value (1 sided) & 2.39075256036614e-06 \tabularnewline
Degrees of Freedom & 58 \tabularnewline
Number of Observations & 60 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=17098&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]6509.15[/C][/ROW]
[ROW][C]Biased Variance[/C][C]938592.049722222[/C][C]1012820.59416667[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]968.809604474596[/C][C]1006.38988178870[/C][/ROW]
[ROW][C]Covariance[/C][C]547539.977118644[/C][/ROW]
[ROW][C]Correlation[/C][C]0.552219702152608[/C][/ROW]
[ROW][C]Determination[/C][C]0.304946599445515[/C][/ROW]
[ROW][C]T-Test[/C][C]5.0444846858388[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]4.78150512073228e-06[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]2.39075256036614e-06[/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=17098&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=17098&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
Mean6936.483333333336509.15
Biased Variance938592.0497222221012820.59416667
Biased Standard Deviation968.8096044745961006.38988178870
Covariance547539.977118644
Correlation0.552219702152608
Determination0.304946599445515
T-Test5.0444846858388
p-value (2 sided)4.78150512073228e-06
p-value (1 sided)2.39075256036614e-06
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')