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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, 06 Nov 2009 03:37:05 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Nov/06/t1257503887g8o7s2s0uyhc9fp.htm/, Retrieved Sat, 27 Apr 2024 19:40:04 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=54245, Retrieved Sat, 27 Apr 2024 19:40:04 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact169

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Bivariate Explorative Data Analysis] [WS 4 module 2] [2009-10-26 21:23:44] [830e13ac5e5ac1e5b21c6af0c149b21d]
- RMPD  [Partial Correlation] [WS 5 ] [2009-10-30 20:36:39] [023d83ebdf42a2acf423907b4076e8a1]
- RMPD    [Bivariate Explorative Data Analysis] [WS 5 Residus biva] [2009-11-01 20:49:44] [830e13ac5e5ac1e5b21c6af0c149b21d]
- RMP         [Pearson Correlation] [SHWWS5Review4] [2009-11-06 10:37:05] [db49399df1e4a3dbe31268849cebfd7f] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
-43,46299021
-80,75309516
-70,74336158
38,9668564
103,8074054
-154,6120618
80,77812389
-8,071755014
98,25849525
-30,58100421
-44,78092348
40,3791734
-132,19098
-76,88100421
-106,2410204
-60,55099614
-2,200632843
-67,52066514
-28,0902534
-21,31993855
204,9200453
-150,9996641
90,49044089
3,190198694
-95,23997084
-53,65976094
-80,03964792
206,0103925
95,62085262
70,15086069
-4,308751793
-9,298856744
138,9711352
77,72149848
281,4313935
108,1314743
118,3119264
-143,9872663
73,21297587
215,4333311
67,37396079
-107,8253934
-100,1751915
-279,1043923
25,05610826
71,32658458
126,5560275
225,3961728
229,2960114
-32,31452952
256,6652767
74,69536553
8,935672307
161,5151556
-242,1946587
-173,2347233
-53,46489282
-290,1749493
-360,6546748
-187,924909
Dataseries Y:
Download CSV
Histogram 
0,002022723
-0,017208098
-0,051656261
-0,072675401
-0,04888664
-0,035594314
-0,043990322
-0,026968066
-0,008756337
0,032209121
0,042033292
0,026096897
0,026430772
0,042472121
0,058426687
0,053742338
0,041398106
0,052385238
0,052190308
0,039393774
0,00733234
0,018657154
0,017944976
0,006882464
0,009761905
0,019803549
0,004696588
-0,014269327
0,004359046
5,42631E-05
-0,004455318
-0,02117114
-0,021005357
-0,011061589
-0,028604411
-0,02249124
-0,030906084
-0,036827378
-0,055456866
-0,045366315
-0,043827384
-0,036552019
-0,067865593
-0,066311103
-0,051684645
-0,045133838
-0,061448816
-0,025835909
0,00011375
0,047607207
0,079794997
0,039112385
0,055018633
0,074915741
0,061521734
0,052521997
0,024700439
0,004811919
0,0048453
-0,007247995

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'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=54245&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=54245&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=54245&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'Gwilym Jenkins' @ 72.249.127.135






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean-1.04999945844490e-09-3.16666668017532e-11
Biased Variance18904.68388204830.00157401680910139
Biased Standard Deviation137.4943049076880.0396738806912229
Covariance-0.69220138215231
Correlation-0.124779669391645
Determination0.0155699658934882
T-Test-0.95777919675954
p-value (2 sided)0.342149617537264
p-value (1 sided)0.171074808768632
Degrees of Freedom58
Number of Observations60

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & -1.04999945844490e-09 & -3.16666668017532e-11 \tabularnewline
Biased Variance & 18904.6838820483 & 0.00157401680910139 \tabularnewline
Biased Standard Deviation & 137.494304907688 & 0.0396738806912229 \tabularnewline
Covariance & -0.69220138215231 \tabularnewline
Correlation & -0.124779669391645 \tabularnewline
Determination & 0.0155699658934882 \tabularnewline
T-Test & -0.95777919675954 \tabularnewline
p-value (2 sided) & 0.342149617537264 \tabularnewline
p-value (1 sided) & 0.171074808768632 \tabularnewline
Degrees of Freedom & 58 \tabularnewline
Number of Observations & 60 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=54245&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]-1.04999945844490e-09[/C][C]-3.16666668017532e-11[/C][/ROW]
[ROW][C]Biased Variance[/C][C]18904.6838820483[/C][C]0.00157401680910139[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]137.494304907688[/C][C]0.0396738806912229[/C][/ROW]
[ROW][C]Covariance[/C][C]-0.69220138215231[/C][/ROW]
[ROW][C]Correlation[/C][C]-0.124779669391645[/C][/ROW]
[ROW][C]Determination[/C][C]0.0155699658934882[/C][/ROW]
[ROW][C]T-Test[/C][C]-0.95777919675954[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.342149617537264[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.171074808768632[/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=54245&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=54245&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-1.04999945844490e-09-3.16666668017532e-11
Biased Variance18904.68388204830.00157401680910139
Biased Standard Deviation137.4943049076880.0396738806912229
Covariance-0.69220138215231
Correlation-0.124779669391645
Determination0.0155699658934882
T-Test-0.95777919675954
p-value (2 sided)0.342149617537264
p-value (1 sided)0.171074808768632
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')