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_rwalk.wasp
Title produced by softwareLaw of Averages
Date of computationSun, 30 Nov 2008 07:45:18 -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/30/t1228056402pfpiwj9vxchram7.htm/, Retrieved Mon, 20 May 2024 05:24:06 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=26534, Retrieved Mon, 20 May 2024 05:24:06 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsreproductie Natalie De Wilde
Estimated Impact229

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]
F         [Law of Averages] [Law of Averages] [2008-11-30 14:45:18] [bb7e3816cefc365f4d7adcd50784b783] [Current]
- RMPD      [Standard Deviation-Mean Plot] [standard deviatio...] [2008-12-11 10:34:06] [415d0222c17b651a9576eaac006f530d]
- RMP         [Univariate Data Series] [plot and describe] [2008-12-13 13:03:47] [415d0222c17b651a9576eaac006f530d]
- RMPD        [Univariate Data Series] [plot and describe...] [2008-12-13 13:57:17] [415d0222c17b651a9576eaac006f530d]
- RMPD      [(Partial) Autocorrelation Function] [(P)ACF] [2008-12-11 10:40:34] [415d0222c17b651a9576eaac006f530d]
- RMPD      [(Partial) Autocorrelation Function] [(P)ACF] [2008-12-11 10:44:20] [415d0222c17b651a9576eaac006f530d]
- RMPD      [(Partial) Autocorrelation Function] [(P)ACF] [2008-12-11 10:49:08] [415d0222c17b651a9576eaac006f530d]
- RMPD      [(Partial) Autocorrelation Function] [(P)ACF] [2008-12-11 10:50:08] [415d0222c17b651a9576eaac006f530d]
- RMPD      [Variance Reduction Matrix] [VRM] [2008-12-11 10:53:14] [415d0222c17b651a9576eaac006f530d]
- RMPD      [(Partial) Autocorrelation Function] [(P)ACF ok] [2008-12-11 11:06:34] [415d0222c17b651a9576eaac006f530d]
- RMPD      [Spectral Analysis] [Spectral Analysis] [2008-12-11 12:27:08] [415d0222c17b651a9576eaac006f530d]
- RMPD      [Spectral Analysis] [Spectral] [2008-12-11 12:29:23] [415d0222c17b651a9576eaac006f530d]
- RMPD      [Standard Deviation-Mean Plot] [standard deviatio...] [2008-12-11 13:40:20] [415d0222c17b651a9576eaac006f530d]
- RMPD      [Variance Reduction Matrix] [Variance reductio...] [2008-12-11 13:44:58] [415d0222c17b651a9576eaac006f530d]
- RMPD      [(Partial) Autocorrelation Function] [(P)ACF] [2008-12-11 13:51:46] [415d0222c17b651a9576eaac006f530d]
- RMPD      [(Partial) Autocorrelation Function] [(P)ACF] [2008-12-11 13:53:36] [415d0222c17b651a9576eaac006f530d]
- RMPD      [Spectral Analysis] [spectral analysis] [2008-12-11 14:06:58] [415d0222c17b651a9576eaac006f530d]
- RMPD      [Spectral Analysis] [spectral analysis] [2008-12-11 14:15:43] [415d0222c17b651a9576eaac006f530d]
- RMPD      [Cross Correlation Function] [cross correlation] [2008-12-11 14:23:56] [415d0222c17b651a9576eaac006f530d]
Feedback Forum
2008-12-06 12:42:40 [Ken Wright] [reply] 
Er is inderdaad een schijnbaar trendmatig verloop. De x –en y as van de grafiek stellen het volgende voor: De x as stelt het aantal keer dat een muntstuk wordt opgegooid, waaruit dus volgt dat de probability gelijk is aan 50%. De y as excess of heads wilt zeggen bijvoorbeeld het aantal keren kop gegooid meer of minder als munt. In de les hebben wij dit ook toegepast op de beurskoers: De beurskoers wordt volgens deze redenering bepaald door volgende formule Beurskoers t = beurskoers t-1 + et waarbij et een term is die bepaald wordt door het toeval, dit kan vanalles zijn bv. de winstverwachting, slecht nieuws,… de kans dat dit geval positief is, is 50% en dus even groot als de kans dat dit getal positief is.
2008-12-09 16:49:31 [Julian De Ruyter] [reply] 
Juiste berekening,
het is aantal keer kop is inderdaad te wijten aan het toeval omdat het een gesimuleerd experiment is.
Uit de 2de grafiek met de blauwe curve blijkt dat de kans op kop of munt beiden evolueren naar 50% omdat de kans op beide waarden even groot is.

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 time3 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 & 3 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=26534&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]3 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=26534&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=26534&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 time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001


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()