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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 computationMon, 27 Dec 2010 11:37:20 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/27/t1293452315wjgykaq0wrfpu9w.htm/, Retrieved Fri, 03 May 2024 00:54:31 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=115930, Retrieved Fri, 03 May 2024 00:54:31 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact107

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Linear Regression Graphical Model Validation] [Colombia Coffee -...] [2008-02-26 10:22:06] [74be16979710d4c4e7c6647856088456]
- RMPD  [Pearson Correlation] [correlatiecoëffi...] [2010-11-25 09:36:10] [96348ef82925ade81ab3c243141d80f1]
- RM D    [] [Paper (Pearson Co...] [1970-01-01 00:00:00] [845827b7f02503df17c96f445745fee7]
- RM D        [Pearson Correlation] [Paper (Pearson Co...] [2010-12-27 11:37:20] [6427096bd21c899f2c90594929aeeec2] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
-200,5
-256
-52,3
-29,1
200,6
788,5
629,1
-331,8
754,1
896,5
839,3
-284,9
516,8
264,8
426
679,4
396,9
676,4
154,2
-75,3
371,8
575,9
282,4
-1607,2
-199,4
-215,5
-608,5
-323,5
-225,9
-131,2
-204
-981,4
-285,7
-187,8
-806,4
-854,1
153,5
4,3
-135,5
-144,2
-269,1
-320,8
309,1
-323,4
-65,9
-270,6
-246
-1478,7
-777,6
-673
-17,4
-1094,6
-238,1
-504,2
-517,1
-498,8
Dataseries Y:
Download CSV
Histogram 
-496,9
112,3
-85,1
2,2
358,6
-158,3
441,9
-488,9
239,2
-154,9
-235,7
139,1
-552
130,3
97,2
-217,1
-213,5
115,1
190,6
-141,7
34,9
-347,3
-862,5
56,9
-1248,1
175,4
-425,1
-602,2
-121,9
-316,4
101,4
-1080,8
-644
-533
-735,4
-578,2
-1369,7
-217,1
-242,6
221,1
167,8
541,2
186,5
-711,8
127,7
-464,2
239,1
417,7
-77
486,6
261,4
101,9
-97,1
821
994,7
-73,3

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time193 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 & 193 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115930&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]193 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=115930&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115930&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 time193 seconds
R Server'George Udny Yule' @ 72.249.76.132






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean-116.355357142857-120.178571428571
Biased Variance293057.532114158212862.260255102
Biased Standard Deviation541.347884556833461.369981961443
Covariance-3096.27315584416
Correlation-0.0121755377439678
Determination0.000148243719354783
T-Test-0.0894781969863336
p-value (2 sided)0.929032930078597
p-value (1 sided)0.464516465039298
Degrees of Freedom54
Number of Observations56

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & -116.355357142857 & -120.178571428571 \tabularnewline
Biased Variance & 293057.532114158 & 212862.260255102 \tabularnewline
Biased Standard Deviation & 541.347884556833 & 461.369981961443 \tabularnewline
Covariance & -3096.27315584416 \tabularnewline
Correlation & -0.0121755377439678 \tabularnewline
Determination & 0.000148243719354783 \tabularnewline
T-Test & -0.0894781969863336 \tabularnewline
p-value (2 sided) & 0.929032930078597 \tabularnewline
p-value (1 sided) & 0.464516465039298 \tabularnewline
Degrees of Freedom & 54 \tabularnewline
Number of Observations & 56 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115930&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]-116.355357142857[/C][C]-120.178571428571[/C][/ROW]
[ROW][C]Biased Variance[/C][C]293057.532114158[/C][C]212862.260255102[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]541.347884556833[/C][C]461.369981961443[/C][/ROW]
[ROW][C]Covariance[/C][C]-3096.27315584416[/C][/ROW]
[ROW][C]Correlation[/C][C]-0.0121755377439678[/C][/ROW]
[ROW][C]Determination[/C][C]0.000148243719354783[/C][/ROW]
[ROW][C]T-Test[/C][C]-0.0894781969863336[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.929032930078597[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.464516465039298[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]54[/C][/ROW]
[ROW][C]Number of Observations[/C][C]56[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=115930&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115930&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
Mean-116.355357142857-120.178571428571
Biased Variance293057.532114158212862.260255102
Biased Standard Deviation541.347884556833461.369981961443
Covariance-3096.27315584416
Correlation-0.0121755377439678
Determination0.000148243719354783
T-Test-0.0894781969863336
p-value (2 sided)0.929032930078597
p-value (1 sided)0.464516465039298
Degrees of Freedom54
Number of Observations56


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')