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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, 26 Oct 2008 13:43:32 -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/26/t1225050243d6df0e98f9f37zh.htm/, Retrieved Sun, 19 May 2024 15:54:54 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=19042, Retrieved Sun, 19 May 2024 15:54:54 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact128

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] [Q10 Invoer intra-...] [2008-10-26 19:43:32] [db9a5fd0f9c3e1245d8075d8bb09236d] [Current]
Feedback Forum
2008-10-26 19:45:53 [Stijn Van de Velde] [reply] 
Een sterke positieve correlatie van 80%. De invoer vanuit de eu is dus voor 80% geassocieerd met de invoer vanuit andere landen.

Dit duid erop dat er weinig onderscheid word gemaakt van waar men invoert. Als men veel in totaal veel invoert doet men dit zowel vanuit de eu als vanuit daarbuiten. Als er weinig word ingevoerd heeft dat geen invloed op de landen van oorsprong.

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
9097,4
12639,8
13040,1
11687,3
11191,7
11391,9
11793,1
13933,2
12778,1
11810,3
13698,4
11956,6
10723,8
13938,9
13979,8
13807,4
12973,9
12509,8
12934,1
14908,3
13772,1
13012,6
14049,9
11816,5
11593,2
14466,2
13615,9
14733,9
13880,7
13527,5
13584
16170,2
13260,6
14741,9
15486,5
13154,5
12621,2
15031,6
15452,4
15428
13105,9
14716,8
14180
16202,2
14392,4
15140,6
15960,1
14351,3
13230,2
15202,1
17157,3
16159,1
13405,7
17224,7
17338,4
17370,6
18817,8
16593,2
17979,5
17015,2
Dataseries Y:
Download CSV
Histogram 
2606,3
3643,8
3686,4
3281,6
3669,3
3191,5
3512,7
3970,7
3601,2
3610
4172,1
3956,2
3142,7
3884,3
3892,2
3613
3730,5
3481,3
3649,5
4215,2
4066,6
4196,8
4536,6
4441,6
3548,3
4735,9
4130,6
4356,2
4159,6
3988
4167,8
4902,2
3909,4
4697,6
4308,9
4420,4
3544,2
4433
4479,7
4533,2
4237,5
4207,4
4394
5148,4
4202,2
4682,5
4884,3
5288,9
4505,2
4611,5
5081,1
4523,1
4412,8
4647,4
4778,6
4495,3
4633,5
4360,5
4517,9
5379,9

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=19042&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]2 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=19042&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=19042&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 time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean14095.60666666674184.31833333333
Biased Variance3714811.51428889301827.753163889
Biased Standard Deviation1927.38463060410549.388526603795
Covariance857739.981909605
Correlation0.796541557119776
Determination0.634478452218797
T-Test10.0338116286507
p-value (2 sided)2.73114864057789e-14
p-value (1 sided)1.36557432028894e-14
Degrees of Freedom58
Number of Observations60

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 14095.6066666667 & 4184.31833333333 \tabularnewline
Biased Variance & 3714811.51428889 & 301827.753163889 \tabularnewline
Biased Standard Deviation & 1927.38463060410 & 549.388526603795 \tabularnewline
Covariance & 857739.981909605 \tabularnewline
Correlation & 0.796541557119776 \tabularnewline
Determination & 0.634478452218797 \tabularnewline
T-Test & 10.0338116286507 \tabularnewline
p-value (2 sided) & 2.73114864057789e-14 \tabularnewline
p-value (1 sided) & 1.36557432028894e-14 \tabularnewline
Degrees of Freedom & 58 \tabularnewline
Number of Observations & 60 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=19042&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]14095.6066666667[/C][C]4184.31833333333[/C][/ROW]
[ROW][C]Biased Variance[/C][C]3714811.51428889[/C][C]301827.753163889[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]1927.38463060410[/C][C]549.388526603795[/C][/ROW]
[ROW][C]Covariance[/C][C]857739.981909605[/C][/ROW]
[ROW][C]Correlation[/C][C]0.796541557119776[/C][/ROW]
[ROW][C]Determination[/C][C]0.634478452218797[/C][/ROW]
[ROW][C]T-Test[/C][C]10.0338116286507[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]2.73114864057789e-14[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]1.36557432028894e-14[/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=19042&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=19042&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
Mean14095.60666666674184.31833333333
Biased Variance3714811.51428889301827.753163889
Biased Standard Deviation1927.38463060410549.388526603795
Covariance857739.981909605
Correlation0.796541557119776
Determination0.634478452218797
T-Test10.0338116286507
p-value (2 sided)2.73114864057789e-14
p-value (1 sided)1.36557432028894e-14
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')