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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 computationSat, 18 Oct 2008 04:49:16 -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/18/t1224327095lk9m3m84e2hyrca.htm/, Retrieved Sun, 19 May 2024 12:55:51 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=16573, Retrieved Sun, 19 May 2024 12:55:51 +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)
F     [Back to Back Histogram] [Q8 - 1 2 ] [2008-10-18 09:47:41] [a0d819c22534897f04a2f0b92f1eb36a]
F   PD  [Back to Back Histogram] [Q8 - 1 3 ] [2008-10-18 09:53:12] [a0d819c22534897f04a2f0b92f1eb36a]
F RMP       [Pearson Correlation] [Q10 - 1 3] [2008-10-18 10:49:16] [5f3e73ccf1ddc75508eed47fa51813d3] [Current]
F    D        [Pearson Correlation] [Q10 - 1 4] [2008-10-18 10:54:40] [a0d819c22534897f04a2f0b92f1eb36a]
Feedback Forum
2008-10-27 19:09:59 [Nathalie Boden] [reply] 
We zien dat er een zeer grote samenhang is van de gegevens namelijk 97%. We zien ook dat de gegevens zeer dicht bij elkaar liggen. Beide gegevens hebben een enorme invloed op elkaar.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
12112
10875.2
9897.3
11672.1
12385.7
11405.6
9830.9
11025.1
10853.8
12252.6
11839.4
11669.1
11601.4
11178.4
9516.4
12102.8
12989
11610.2
10205.5
11356.2
11307.1
12648.6
11947.2
11714.1
12192.5
11268.8
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
Dataseries Y:
Download CSV
Histogram 
11266,8
9542,7
9227,7
10571,9
10774,4
10392,8
9920,2
9884,9
10174,5
11395,4
10760,2
10570,1
10536
9902,6
8889
10837,3
11624,1
10509
10984,9
10649,1
10855,7
11677,4
10760,2
10046,2
10772,8
9987,7
8638,7
11063,7
11855,7
10684,5
11337,4
10478
11123,9
12909,3
11339,9
10462,2
12733,5
10519,2
10414,9
12476,8
12384,6
12266,7
12919,9
11497,3
12142
13919,4
12656,8
12034,1
13199,7
10881,3
11301,2
13643,9
12517
13981,1
14275,7
13435
13565,7
16216,3
12970
14079,9
14235
12213,4
12581
14130,4
14210,8
14378,5
13142,8
13714,7
13621,9
15379,8
13306,3
14391,2
14909,9
14025,4
12951,2
14344,3
16213,3
15544,5
14750,6
17292,7
17568,5
17930,8
18644,7
16694,8
17242,8

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=16573&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=16573&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=16573&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
Mean13249.155294117612492.4494117647
Biased Variance4181281.632824914902232.71097024
Biased Standard Deviation2044.818239556982214.09862268379
Covariance4424649.44330672
Correlation0.965800789942349
Determination0.932771165853265
T-Test33.9350749310402
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom83
Number of Observations85

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 13249.1552941176 & 12492.4494117647 \tabularnewline
Biased Variance & 4181281.63282491 & 4902232.71097024 \tabularnewline
Biased Standard Deviation & 2044.81823955698 & 2214.09862268379 \tabularnewline
Covariance & 4424649.44330672 \tabularnewline
Correlation & 0.965800789942349 \tabularnewline
Determination & 0.932771165853265 \tabularnewline
T-Test & 33.9350749310402 \tabularnewline
p-value (2 sided) & 0 \tabularnewline
p-value (1 sided) & 0 \tabularnewline
Degrees of Freedom & 83 \tabularnewline
Number of Observations & 85 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=16573&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]13249.1552941176[/C][C]12492.4494117647[/C][/ROW]
[ROW][C]Biased Variance[/C][C]4181281.63282491[/C][C]4902232.71097024[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]2044.81823955698[/C][C]2214.09862268379[/C][/ROW]
[ROW][C]Covariance[/C][C]4424649.44330672[/C][/ROW]
[ROW][C]Correlation[/C][C]0.965800789942349[/C][/ROW]
[ROW][C]Determination[/C][C]0.932771165853265[/C][/ROW]
[ROW][C]T-Test[/C][C]33.9350749310402[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]83[/C][/ROW]
[ROW][C]Number of Observations[/C][C]85[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=16573&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=16573&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
Mean13249.155294117612492.4494117647
Biased Variance4181281.632824914902232.71097024
Biased Standard Deviation2044.818239556982214.09862268379
Covariance4424649.44330672
Correlation0.965800789942349
Determination0.932771165853265
T-Test33.9350749310402
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom83
Number of Observations85


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')