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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 computationSun, 30 Nov 2008 14:10:02 -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/t12280794530s59plcretx01tn.htm/, Retrieved Sun, 19 May 2024 09:21:29 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=26728, Retrieved Sun, 19 May 2024 09:21:29 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact199

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] [Q1 1] [2008-11-30 21:04:21] [547636b63517c1c2916a747d66b36ebf]
-       [Law of Averages] [Q2 2] [2008-11-30 21:07:27] [547636b63517c1c2916a747d66b36ebf]
F           [Law of Averages] [Q1 3] [2008-11-30 21:10:02] [e11d930c9e2984715c66c796cf63ef19] [Current]
-             [Law of Averages] [] [2008-11-30 21:54:08] [4c8dfb519edec2da3492d7e6be9a5685]
-             [Law of Averages] [Q2_3] [2008-11-30 22:47:40] [6816386b1f3c2f6c0c9f2aa1e5bc9362]
F               [Law of Averages] [Non stationary ti...] [2008-12-01 23:07:19] [cf9c64468d04c2c4dd548cc66b4e3677]
F               [Law of Averages] [] [2008-12-02 06:56:18] [74be16979710d4c4e7c6647856088456]
-             [Law of Averages] [random walk 3] [2008-12-01 17:26:12] [077ffec662d24c06be4c491541a44245]
Feedback Forum
2008-12-07 13:45:01 [Steven Hulsmans] [reply] 
Deze opgave illustreert het opgooien van een muntstuk. In principe is de kans 50/50 dat we kop of munt werpen. De eerste grafiek ‘Excess of heads’ toont ons het overschot aan ‘kop’ dat er gegooid is. Indien er telkens om beurt eerst een kop en daarna munt gegooid zou worden, zou deze grafiek een horizontaal verloop met een minimale spreiding vertonen. Dit is echter zeer onwaarschijnlijk en daarom krijgen we zeer “random” grafieken, die bij dezelfde berekening een ander verloop hebben. De tweede grafiek ‘proportion of heads’ geeft het proportioneel aantal keren weer dat er kop gegooid werd. Deze grafiek toont ons wel hoeveel keer er kop of munt gegooid werd, maar niet in welke volgorde.

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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'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 & 2 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=26728&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]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=26728&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=26728&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'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 ;
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()