Date:         Wed, 5 Oct 2011 09:10:35 +0200
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              <mgarciagranero@gmail.com>
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From:         =?UTF-8?B?TWFydGEgR2FyY8OtYS1HcmFuZXJv?=
              <mgarciagranero@gmail.com>
Subject:      Re: Something like a runs test for multinomial data?
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El 04/10/2011 23:40, Bruce Weaver escribió:
> Marta, I just noticed that Conover's well-known book "Practical Nonparametric
> Statisitics" (3rd Ed.) does not include any runs tests.  In the
> introduction, he describes them briefly, but then says:
>
> "However, runs tests have very little power, and can be replaced in every
> case by another nonparametric test with much greater power.  Therefore tests
> based on the number of runs are not practical, and for that reason are not
> included in this book." (p. 3)
>
> As far as I can tell, he doesn't specify which other nonparametric tests can
> be used instead.

I believe he was referring to permutation tests.

An update for everybody contributing to this topic:

It seems that they tested 5 different dice, and one of them was really
faulty, with a very low probability for one of the faces. The other four
were "fair dice", with roughly 10% probability for each face.

They liked David's idea for lagged data a lot, and they were going to
try it today, and inform me tomorrow.

They want to test now if the results can be influenced by who is rolling
the dice, so the group of role-games players are going to reunite again,
and roll the same dice in turns (150 times each one). We will analyze
the data using a repeated goodness of fit test (heterogeneity tests).

I'm also looking in books for another idea Art gave me (using Markov
chains).

This "experiment" reminds me of another one (as useless as this one) my
husband and I run once, concerning whether Halls citrus candy
distribution of flavors (lemon, orange and lime) was 1:1:1 in the packs
or not. My husband hated lime candy and he argued that there were too
many of them, while orange flavored (his favorites) were scarcer. He
ended up writing down in a piece of paper the flavor of everyone we had
for a month. I analyzed the data and he was right!.

Best regards and many thanks,
Marta GG
>
> Cheers,
> Bruce
>
>
> Marta García-Granero-2 wrote:
>> Hi everybody:
>>
>> This is strictly not a SPSS question, but statistical.
>>
>> One of my students has rolled 700 times (he must have a lot of time) a
>> role-playing game dice with 10 faces. We have already solved (through a
>> goodness of fit test) whether the dice is balanced or not, but now he
>> asked me how to test if the sequence is random.
>>
>> I know that runs test needs either a continuous variable (that is
>> dichotomized), or a binary one. I did a bit of Googling (plus looking at
>> every statistics  book from my digital collection), and the only ideas I
>> have found are:
>>
>> - Permutation tests (difficult since the sample size is really high,
>> although I could take the first 100 to analyze)
>> - Create a set of binary variables with the presence/absence of each
>> category and run 10 different runs tests.
>>
>> We are also trying to find a way to find out whether one given result
>> (dice face) at position N is followed by certain values, but not by
>> others -->  sequence patterns.
>>
>> Any ideas?
>>
>> Best regards,
>> Marta GG
>>
>> Bruce, I DID start a new thread for this message ;)
>>
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>
> -----
> --
> Bruce Weaver
> bweaver@lakeheadu.ca
> http://sites.google.com/a/lakeheadu.ca/bweaver/
>
> "When all else fails, RTFM."
>
> NOTE: My Hotmail account is not monitored regularly.
> To send me an e-mail, please use the address shown above.
>
> --
> View this message in context: http://spssx-discussion.1045642.n5.nabble.com/Something-like-a-runs-test-for-multinomial-data-tp4868930p4870545.html
> Sent from the SPSSX Discussion mailing list archive at Nabble.com.
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