Deciding Between Standard and Improved Chi-Square Methods for Data Analysis

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Lorna
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I have a set of data:
data
------
x1
x2
x3
x4
...etc

I used two methods "standard_chi-sqr" and "improved_chi-sqr" to minimize the fits to these data so I have now:

data, standard-chi-sqr, improved_chi-sqr
----------------------------------------------------
x1 , v1 , V1
x2 , v2 , V2
x3 , v3 , V3
... etc

Is there a test I can apply to my results to decide which method is better?

Thanks
 
What does each of your chi square statistics measure or represent? (What are you trying to do?)