Thanks, Rado.  You are most welcome to open a JIRA ticket [1] and
attach code with references there.  I agree this would be a useful
addition to [math]. Thanks in advance.

Phil

[1] http://commons.apache.org/math/developers.html

On 10/9/12 4:53 AM, rado tzvetkov wrote:
> Need for additional statistics hypothesis Tests in math.stat.inference
>
> 1. Implementation of G-Test (log-likelihood ratio LLR test for independence 
> and goodnes-of-fit)
>
> 2. Reference: http://en.wikipedia.org/wiki/G-test
>
> 3.Reasons-Usefulness: G-testsare tests that are increasingly being used in 
> situations where chi-squared tests were previously recommended.  The 
> approximation to the theoretical chi-squared distribution for the G-test is 
> better than for the Pearson chi-squared tests. In cases whereObserved 
> >2*Expected for some cell case, the G-test is always better than the 
> chi-squared test.
> For testing goodness-of-fit the G-test is infinitely more efficient than the 
> chi squared test in the sense of Bahadur, but the two tests are equally 
> efficient in the sense of Pitman or in the sense of Hodge and Lehman. 
>
>
> I estimate the implementation effort as relatively small as the 
> implementation differs only on few lines with the existing Chi-square tests.  
>
> Also I already have code to contribute and tests for G-Test for independence. 
> (if needed) apache mahout also has some code implemented for LLR
>
>
> best regards
>
> Rado
>
> P.S. Enhancing math.stat.inference with additional test could be generally 
> good.    


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