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Size of observations

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Size of observations

Amit Kabiri
Hi All

 

I had to assure the randomness of backgammon game's two dices.

 

I took 8,000,000 observations and found that one of the dices is not uniform
distributed.

 

I took 80,000,000 observations and found that the dice is uniform
distributed.

 

In both tests I used Pearson Chi Square test.

 

My questions:

 

1. How many observations should I take?
2. How much the 80,000,000 observations test is batter from the
8,000,000 test?

 

 

Thanks in advance for your help

 

Amit Kabiri

[hidden email]

 

 


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Re: Size of observations

cberry

This isn't an R question is it?

  PLEASE do read the posting guide! http://www.R-project.org/posting-guide.html


But I know why this happened, so I will answer your question anyway.

During the first few months of rolling your die, it really was not
uniform and this is what accounts for the results after a mere 8,000,000
rolls.

But after the first year or two of continuous rolling the corners wear
off the die - it looks more like a sphere --- check what yours looks like
- it really isn't a cube like shape anymore is it??

When that happens the distribution of results looks more uniform. But you
probably cannot still read the little dots on the sides anyway - the last
time I did this myself they wore off after about 14,275,839 rolls.

HTH!

On Tue, 16 May 2006, Amit Kabiri wrote:

> Hi All
>
>
>
> I had to assure the randomness of backgammon game's two dices.
>
>
>
> I took 8,000,000 observations and found that one of the dices is not uniform
> distributed.
>
>
>
> I took 80,000,000 observations and found that the dice is uniform
> distributed.
>
>
>
> In both tests I used Pearson Chi Square test.
>
>
>
> My questions:
>
>
>
> 1. How many observations should I take?
> 2. How much the 80,000,000 observations test is batter from the
> 8,000,000 test?
>
>
>
>
>
> Thanks in advance for your help
>
>
>
> Amit Kabiri
>
> [hidden email]
>
>
>
>
>
>
> [[alternative HTML version deleted]]
>
>
>
>
>    [ Part 3.58: "Included Message" ]
>

Charles C. Berry                        (858) 534-2098
                                          Dept of Family/Preventive Medicine
E mailto:[hidden email]         UC San Diego
http://biostat.ucsd.edu/~cberry/         La Jolla, San Diego 92093-0717

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