Anil:

I'm not sure how much more succinct I can be.  I teach intro. to 
statistics, and my students complain that I don't explain things in 
English very well.  They want me to teach a mathematics-free statistics 
class!  I don't think such a thing can be done.  I would suggest you 
read a book like Intro. to Prob. and Math. Stat. by Bain and Engelhardt. 
 Beyond that, I think I have a bit more to add to the solution.  But, 
this doesn't seem to be particularly Bayesian as I have constructed it.

H_0:  \mu=0    vs H_1:  \mu NE 0

    (sum of {X_i}^2)/n
T = ------------------- 
    (sum of {Y_j}^2)/m

If you have n A events, and m B events, then T will be distributed as F(n, m) under 
H_0.  This tests something like:  B is more likely to be near R than A.

-- 
Rodney Sparapani              Medical College of Wisconsin
Sr. Biostatistician           Patient Care & Outcomes Research
[EMAIL PROTECTED]              http://www.mcw.edu/pcor
Was 'Name That Tune' rigged?  WWLD -- What Would Lombardi Do

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