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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_rwalk.wasp
Title produced by softwareLaw of Averages
Date of computationSat, 29 Nov 2008 08:43:04 -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/2008/Nov/29/t1227974039f5hb6gq3n6mze5z.htm/, Retrieved Sun, 19 May 2024 05:39:48 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=26321, Retrieved Sun, 19 May 2024 05:39:48 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact134

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Law of Averages] [Random Walk Simul...] [2008-11-25 18:31:28] [b98453cac15ba1066b407e146608df68]
F         [Law of Averages] [Reproduction Q3] [2008-11-29 15:43:04] [8a1195ff8db4df756ce44b463a631c76] [Current]
Feedback Forum
2008-12-06 09:06:08 [Siem Van Opstal] [reply] 
goede berekening en correcte conclusie

Post a new message

Dataset

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'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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=26321&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=26321&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=26321&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'Gwilym Jenkins' @ 72.249.127.135






Variance Reduction Matrix
V(Y[t],d=0,D=0)46.8653947895792Range31Trim Var.32.0558639904012
V(Y[t],d=1,D=0)1.00197181511618Range2Trim Var.NA
V(Y[t],d=2,D=0)1.92352508626054Range4Trim Var.0
V(Y[t],d=3,D=0)5.80645161290323Range8Trim Var.2.47717647058824
V(Y[t],d=0,D=1)15.0905678796243Range20Trim Var.7.13470505418427
V(Y[t],d=1,D=1)1.99957749216248Range4Trim Var.0
V(Y[t],d=2,D=1)3.95876288659794Range8Trim Var.2.28395509670042
V(Y[t],d=3,D=1)12.1900656044986Range16Trim Var.6.73394278695108
V(Y[t],d=0,D=2)27.9103405572755Range34Trim Var.12.3417246064093
V(Y[t],d=1,D=2)6.14338885187653Range8Trim Var.2.57141916147943
V(Y[t],d=2,D=2)12.2451717647479Range16Trim Var.6.710226193942
V(Y[t],d=3,D=2)37.7456910452575Range30Trim Var.21.6513462464353

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 46.8653947895792 & Range & 31 & Trim Var. & 32.0558639904012 \tabularnewline
V(Y[t],d=1,D=0) & 1.00197181511618 & Range & 2 & Trim Var. & NA \tabularnewline
V(Y[t],d=2,D=0) & 1.92352508626054 & Range & 4 & Trim Var. & 0 \tabularnewline
V(Y[t],d=3,D=0) & 5.80645161290323 & Range & 8 & Trim Var. & 2.47717647058824 \tabularnewline
V(Y[t],d=0,D=1) & 15.0905678796243 & Range & 20 & Trim Var. & 7.13470505418427 \tabularnewline
V(Y[t],d=1,D=1) & 1.99957749216248 & Range & 4 & Trim Var. & 0 \tabularnewline
V(Y[t],d=2,D=1) & 3.95876288659794 & Range & 8 & Trim Var. & 2.28395509670042 \tabularnewline
V(Y[t],d=3,D=1) & 12.1900656044986 & Range & 16 & Trim Var. & 6.73394278695108 \tabularnewline
V(Y[t],d=0,D=2) & 27.9103405572755 & Range & 34 & Trim Var. & 12.3417246064093 \tabularnewline
V(Y[t],d=1,D=2) & 6.14338885187653 & Range & 8 & Trim Var. & 2.57141916147943 \tabularnewline
V(Y[t],d=2,D=2) & 12.2451717647479 & Range & 16 & Trim Var. & 6.710226193942 \tabularnewline
V(Y[t],d=3,D=2) & 37.7456910452575 & Range & 30 & Trim Var. & 21.6513462464353 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=26321&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]46.8653947895792[/C][C]Range[/C][C]31[/C][C]Trim Var.[/C][C]32.0558639904012[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]1.00197181511618[/C][C]Range[/C][C]2[/C][C]Trim Var.[/C][C]NA[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]1.92352508626054[/C][C]Range[/C][C]4[/C][C]Trim Var.[/C][C]0[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]5.80645161290323[/C][C]Range[/C][C]8[/C][C]Trim Var.[/C][C]2.47717647058824[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]15.0905678796243[/C][C]Range[/C][C]20[/C][C]Trim Var.[/C][C]7.13470505418427[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]1.99957749216248[/C][C]Range[/C][C]4[/C][C]Trim Var.[/C][C]0[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]3.95876288659794[/C][C]Range[/C][C]8[/C][C]Trim Var.[/C][C]2.28395509670042[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]12.1900656044986[/C][C]Range[/C][C]16[/C][C]Trim Var.[/C][C]6.73394278695108[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]27.9103405572755[/C][C]Range[/C][C]34[/C][C]Trim Var.[/C][C]12.3417246064093[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]6.14338885187653[/C][C]Range[/C][C]8[/C][C]Trim Var.[/C][C]2.57141916147943[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]12.2451717647479[/C][C]Range[/C][C]16[/C][C]Trim Var.[/C][C]6.710226193942[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]37.7456910452575[/C][C]Range[/C][C]30[/C][C]Trim Var.[/C][C]21.6513462464353[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=26321&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=26321&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:

Variance Reduction Matrix
V(Y[t],d=0,D=0)46.8653947895792Range31Trim Var.32.0558639904012
V(Y[t],d=1,D=0)1.00197181511618Range2Trim Var.NA
V(Y[t],d=2,D=0)1.92352508626054Range4Trim Var.0
V(Y[t],d=3,D=0)5.80645161290323Range8Trim Var.2.47717647058824
V(Y[t],d=0,D=1)15.0905678796243Range20Trim Var.7.13470505418427
V(Y[t],d=1,D=1)1.99957749216248Range4Trim Var.0
V(Y[t],d=2,D=1)3.95876288659794Range8Trim Var.2.28395509670042
V(Y[t],d=3,D=1)12.1900656044986Range16Trim Var.6.73394278695108
V(Y[t],d=0,D=2)27.9103405572755Range34Trim Var.12.3417246064093
V(Y[t],d=1,D=2)6.14338885187653Range8Trim Var.2.57141916147943
V(Y[t],d=2,D=2)12.2451717647479Range16Trim Var.6.710226193942
V(Y[t],d=3,D=2)37.7456910452575Range30Trim Var.21.6513462464353


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 500 ; par2 = 0.5 ;
Parameters (R input):
par1 = 500 ; par2 = 0.5 ; par3 = ; par4 = ; par5 = ; par6 = ; par7 = ; par8 = ; par9 = ; par10 = ; par11 = ; par12 = ; par13 = ; par14 = ; par15 = ; par16 = ; par17 = ; par18 = ; par19 = ; par20 = ;
R code (references can be found in the software module):
n <- as.numeric(par1)
p <- as.numeric(par2)
heads=rbinom(n-1,1,p)
a=2*(heads)-1
b=diffinv(a,xi=0)
c=1:n
pheads=(diffinv(heads,xi=.5))/c
bitmap(file='test1.png')
op=par(mfrow=c(2,1))
plot(c,b,type='n',main='Law of Averages',xlab='Toss Number',ylab='Excess of Heads',lwd=2,cex.lab=1.5,cex.main=2)
lines(c,b,col='red')
lines(c,rep(0,n),col='black')
plot(c,pheads,type='n',xlab='Toss Number',ylab='Proportion of Heads',lwd=2,cex.lab=1.5)
lines(c,pheads,col='blue')
lines(c,rep(.5,n),col='black')
par(op)
dev.off()
b
par1 <- as.numeric(12)
x <- as.array(b)
n <- length(x)
sx <- sort(x)
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Variance Reduction Matrix',6,TRUE)
a<-table.row.end(a)
for (bigd in 0:2) {
for (smalld in 0:3) {
mylabel <- 'V(Y[t],d='
mylabel <- paste(mylabel,as.character(smalld),sep='')
mylabel <- paste(mylabel,',D=',sep='')
mylabel <- paste(mylabel,as.character(bigd),sep='')
mylabel <- paste(mylabel,')',sep='')
a<-table.row.start(a)
a<-table.element(a,mylabel,header=TRUE)
myx <- x
if (smalld > 0) myx <- diff(x,lag=1,differences=smalld)
if (bigd > 0) myx <- diff(myx,lag=par1,differences=bigd)
a<-table.element(a,var(myx))
a<-table.element(a,'Range',header=TRUE)
a<-table.element(a,max(myx)-min(myx))
a<-table.element(a,'Trim Var.',header=TRUE)
smyx <- sort(myx)
sn <- length(smyx)
a<-table.element(a,var(smyx[smyx>quantile(smyx,0.05) & smyxa<-table.row.end(a)
}
}
a<-table.end(a)
table.save(a,file='mytable.tab')