[ 
http://issues.apache.org/jira/browse/MATH-160?page=comments#action_12445327 ] 
            
aeriform commented on MATH-160:
-------------------------------

Not sure if this would be good enough as I am not sure entirely what you need, 
but there is a reference to the normalized chi-squared in the following article 
on Issue 45 of Cytometry page 48:

http://www3.interscience.wiley.com/cgi-bin/fulltext/85011154/PDFSTART

Cytometry
ISSN: 1097-0320 (Online)
ISSN: 0196-4763 (Print)

Published 2001 Wiley-Liss, Inc.†
Cytometry 45:47-55 (2001)

Probability Binning Comparison: A Metric for Quantitating Multivariate 
Distribution Differences

"This work is a US government work, and as such, is in the public domain in the 
United States of America." (pg. 47)

Is a reference like this sufficient to develop code from?

> Chi-Square Test for Comparing two binned Data Sets
> --------------------------------------------------
>
>                 Key: MATH-160
>                 URL: http://issues.apache.org/jira/browse/MATH-160
>             Project: Commons Math
>          Issue Type: New Feature
>            Reporter: Matthias Hummel
>            Priority: Minor
>         Attachments: commons-math.patch
>
>
> Current Chi-Square test implementation only supports standard Chi-Square 
> testing with respect to known distribution. We needed testing for comparison 
> of two sample data sets where the distribution can be unknown. For this case 
> the Chi-Square test has to be computed in a different way so that both error 
> contributions (one for each sample data set) are taken into account. See 
> Press et. al, Numerical Recipes, Second Edition, formula 14.3.2.

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