FreeStatistics.org

Free Statistics

of Irreproducible Research!

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 04:49:41 -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/t12243270436wt7o9ouatp6ytw.htm/, Retrieved Wed, 22 May 2024 07:28:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=16571, Retrieved Wed, 22 May 2024 07:28:46 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact156

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F       [Pearson Correlation] [Q10 invoer intra/...] [2008-10-18 10:49:41] [b05bea52879de0a398b42c6968cc24b2] [Current]
Feedback Forum
2008-10-25 11:59:26 [Davy De Nef] [reply] 
Ook hier is er sprake van een positieve correlatie. Alle punten liggen nog dichter bij de denkbeeldige stijgende rechte, dan bij de vorige berekening. De correlatie is bijgevolg nog groter, namelijk 0,93.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
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
Dataseries Y:
Download CSV
Histogram 
3630,4
3519,9
3376,1
3057,9
3646,7
3585,5
3007,7
3545
3295,6
3390,3
3531,9
3738,7
3477
3338,3
3264,4
3452,4
4045,1
3660,5
3584,9
3819,9
3409,2
3643,5
3673,3
3645,2
3421,3
3531,4
3219,2
3552,3
3787,7
3392,7
3550
3681,9
3519,1
4283,2
4046,2
3824,9
4793,1
3977,7
3983,4
4152,9
4286,1
4348,1
3949,3
4166,7
4217,9
4528,2
4232,2
4470,9
5121,2
4170,8
4398,6
4491,4
4251,8
4901,9
4745,2
4666,9
4210,4
5273,6
4095,3
4610,1
4718,1
4185,5
4314,7
4422,6
5059,2
5043,6
4436,6
4922,6
4454,8
5058,7
4768,9
5171,8
4989,3
5202,1
4838,4
4876,5
5845,3
5686,3
4753,8
6620,4
5597,2
5643,5
6357,3
5909,1
6165,8

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'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 & 2 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=16571&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]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=16571&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=16571&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'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean12492.44941176474273.35411764706
Biased Variance4902232.71097024636950.069541869
Biased Standard Deviation2214.09862268379798.091517021619
Covariance1675196.9332465
Correlation0.936864047748404
Determination0.877714243963523
T-Test24.4077464347366
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 & 12492.4494117647 & 4273.35411764706 \tabularnewline
Biased Variance & 4902232.71097024 & 636950.069541869 \tabularnewline
Biased Standard Deviation & 2214.09862268379 & 798.091517021619 \tabularnewline
Covariance & 1675196.9332465 \tabularnewline
Correlation & 0.936864047748404 \tabularnewline
Determination & 0.877714243963523 \tabularnewline
T-Test & 24.4077464347366 \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=16571&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]12492.4494117647[/C][C]4273.35411764706[/C][/ROW]
[ROW][C]Biased Variance[/C][C]4902232.71097024[/C][C]636950.069541869[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]2214.09862268379[/C][C]798.091517021619[/C][/ROW]
[ROW][C]Covariance[/C][C]1675196.9332465[/C][/ROW]
[ROW][C]Correlation[/C][C]0.936864047748404[/C][/ROW]
[ROW][C]Determination[/C][C]0.877714243963523[/C][/ROW]
[ROW][C]T-Test[/C][C]24.4077464347366[/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=16571&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=16571&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
Mean12492.44941176474273.35411764706
Biased Variance4902232.71097024636950.069541869
Biased Standard Deviation2214.09862268379798.091517021619
Covariance1675196.9332465
Correlation0.936864047748404
Determination0.877714243963523
T-Test24.4077464347366
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')