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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 computationFri, 17 Oct 2008 07:55:10 -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/17/t122425179395uiiw7mcozuzp8.htm/, Retrieved Fri, 17 May 2024 08:36:51 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=16463, Retrieved Fri, 17 May 2024 08:36:51 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact195

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Harrell-Davis Quantiles] [Q7 95% confidence...] [2007-10-20 15:02:46] [b731da8b544846036771bbf9bf2f34ce]
F RMPD  [Pearson Correlation] [Pearson Correlati...] [2008-10-17 13:43:56] [6fea0e9a9b3b29a63badf2c274e82506]
F    D      [Pearson Correlation] [Pearson Correlati...] [2008-10-17 13:55:10] [286e96bd53289970f8e5f25a93fb50b3] [Current]
Feedback Forum
2008-10-28 08:31:30 [Michael Van Spaandonck] [reply] 
Een negatieve correlatie van 15% duidt inderdaad op een zeer zwak omgekeerd verband tussen de twee tijdreeksen.
Een stijging in de dieselprijs zal daarom waarschijnlijk niet snel een daling in het aantal inschrijvingen van tweedehandswagens met zich meebrengen.
Het verband is nog zwakker dan het verband tussen de dieselprijs en het aantal inschrijvingen van nieuwe wagens. Dit kan deels verklaard worden uit het feit dat de tweedehandswagens ten tijde van de observaties nog niet veel dieselmotoren hadden.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
0.771
0.751
0.766
0.754
0.773
0.781
0.793
0.791
0.878
0.873
0.897
0.885
0.796
0.776
0.788
0.786
0.801
0.811
0.801
0.781
0.778
0.759
0.764
0.754
0.749
0.729
0.740
0.781
0.768
0.754
0.754
0.754
0.779
0.799
0.780
0.769
0.801
0.792
0.852
0.807
0.797
0.783
0.779
0.785
0.817
0.810
0.798
0.795
0.785
0.785
0.785
0.805
0.824
0.819
0.827
0.826
0.829
0.830
0.825
0.817
Dataseries Y:
Download CSV
Histogram 
54.281
63.654
68.918
58.686
67.074
60.183
54.326
54.085
53.564
60.873
53.398
45.164
59.672
56.298
62.361
56.930
62.954
62.431
52.528
54.060
53.093
52.695
52.333
41.747
58.576
57.851
63.721
63.384
61.141
59.231
63.472
49.214
55.816
61.713
48.664
45.351
57.888
54.091
59.098
58.962
55.433
60.403
60.721
48.440
57.981
60.258
47.312
46.980
54.846
56.824
67.744
62.849
54.691
65.461
53.724
54.560
57.722
55.458
48.490
46.362

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time5 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 5 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=16463&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]5 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=16463&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=16463&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 time5 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean0.7939556.5956666666667
Biased Variance0.001187547535.2590933555555
Biased Standard Deviation0.03446081107577135.93793679282253
Covariance-0.0322821694915254
Correlation-0.155132363571241
Determination0.0240660502271998
T-Test-1.19593119182607
p-value (2 sided)0.236589853946507
p-value (1 sided)0.118294926973253
Degrees of Freedom58
Number of Observations60

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 0.79395 & 56.5956666666667 \tabularnewline
Biased Variance & 0.0011875475 & 35.2590933555555 \tabularnewline
Biased Standard Deviation & 0.0344608110757713 & 5.93793679282253 \tabularnewline
Covariance & -0.0322821694915254 \tabularnewline
Correlation & -0.155132363571241 \tabularnewline
Determination & 0.0240660502271998 \tabularnewline
T-Test & -1.19593119182607 \tabularnewline
p-value (2 sided) & 0.236589853946507 \tabularnewline
p-value (1 sided) & 0.118294926973253 \tabularnewline
Degrees of Freedom & 58 \tabularnewline
Number of Observations & 60 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=16463&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]0.79395[/C][C]56.5956666666667[/C][/ROW]
[ROW][C]Biased Variance[/C][C]0.0011875475[/C][C]35.2590933555555[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]0.0344608110757713[/C][C]5.93793679282253[/C][/ROW]
[ROW][C]Covariance[/C][C]-0.0322821694915254[/C][/ROW]
[ROW][C]Correlation[/C][C]-0.155132363571241[/C][/ROW]
[ROW][C]Determination[/C][C]0.0240660502271998[/C][/ROW]
[ROW][C]T-Test[/C][C]-1.19593119182607[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.236589853946507[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.118294926973253[/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=16463&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=16463&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
Mean0.7939556.5956666666667
Biased Variance0.001187547535.2590933555555
Biased Standard Deviation0.03446081107577135.93793679282253
Covariance-0.0322821694915254
Correlation-0.155132363571241
Determination0.0240660502271998
T-Test-1.19593119182607
p-value (2 sided)0.236589853946507
p-value (1 sided)0.118294926973253
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')