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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 computationFri, 28 Nov 2008 04:05:42 -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/28/t1227870390pthl9uppfaktdgo.htm/, Retrieved Mon, 20 May 2024 11:47:39 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=25996, Retrieved Mon, 20 May 2024 11:47:39 +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]
F         [Law of Averages] [vraag 1] [2008-11-28 11:05:42] [3dc594a6c62226e1e98766c4d385bfaa] [Current]
Feedback Forum
2008-12-02 18:08:58 [Veerle Jackers] [reply] 
Ik denk dat we niet van een trend kunnen spreken, zoals je zegt in je oplossing, omdat het hier gaat om toeval (random component). Je ziet soms wel een stijgende of dalende lijn, maar de kans dat de volgende waarde hoger of lager ligt altijd 50% en kan deze trend niet als stabiel verklaard worden.

Ivm de onderste grafieken: ja, er is zeker een beweging, maar dat komt omdat je begint op 0... en dus naar 0,5 toe moet, aangezien de kans dat je munt/kop gooit 50% is. Geen trend dus.
2008-12-08 18:53:21 [Michaël De Kuyer] [reply] 
Naar mijn mening heeft Veerle het fout. Ik vermeld dat de waarschijnlijkheid evolueert naar 0,5. Stel dat er maar 4 trekkingen gebeuren waarvan 3 kop en 1 let dan is de kans op kop (op basis van deze informatie) 75%. Als er echter 400 trekkingen gebeuren dan zal men tot een 50/50 verhouding komen. De evolutie van 75% naar 50% gebeurt stelselmatig. Dus is er wel sprake van een trend.


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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 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=25996&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=25996&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=25996&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


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()