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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 computationMon, 01 Dec 2008 12:07:10 -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/Dec/01/t122815852796y1bc79b12ifk6.htm/, Retrieved Sun, 05 May 2024 15:06:39 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=27182, Retrieved Sun, 05 May 2024 15:06:39 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact190

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 17:50:19] [b98453cac15ba1066b407e146608df68]
-       [Law of Averages] [Q1 Non Stationary...] [2008-11-29 13:26:33] [7173087adebe3e3a714c80ea2417b3eb]
F           [Law of Averages] [Q1 Non Stationary...] [2008-12-01 19:07:10] [70ba55c7ff8e068610dc28fc16e6d1e2] [Current]
Feedback Forum
2008-12-03 10:18:13 [Romina Machiels] [reply] 
Deze vraag werd correct beantwoord.
2008-12-06 15:29:41 [Kevin Engels] [reply] 
We zien inderdaad soms een stijgende en soms een dalende trend. Er is geen sprake van seizonaliteit.
2008-12-08 19:39:36 [Ruben Jacobs] [reply] 
Dit proces noemt men een random-walk; juist omdat elke keer je reproducet een ander (random) resultaat krijgt.

Op de bovenste grafiek kan je zien hoeveel keer dat de munt te veel op zijn kop landt, het exess of heads. Normaal gezien zou de om de beurt op zijn kop of munt moeten vallen. Maar in het echt, gebeurt dit, het komt voor dat de munt bijvoorbeeld enkele malen te veel op zijn kop valt, dit is dus het exess of heads.

De onderste grafiek (Proportion of Heads) telt het aantal keer dat er kop gegooid werd op. Theoretisch gezien zou dit een kans van 50% (0.5) moeten zijn. Deze grafiek houdt echter geen rekening met volgorde zoals bij de bovenste grafiek. We merken op dat hoe meer er gegooid wordt, hoe meer er naar de waarde 0,5 wordt gestreefd.

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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'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=27182&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=27182&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=27182&T=0

As an alternative you can also use a QR Code:  
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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'Sir Ronald Aylmer Fisher' @ 193.190.124.24


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 500 ; par2 = 0.5 ;
Parameters (R input):
par1 = 500 ; par2 = 0.5 ;
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()