If I can jump into this one without going off the deep end......

If you are measuring something, such as concentration of trace element in a
solution, there are occasions when the reported concentration is "0" -
nada, zero.  In fact, the reported value should be "not detected", or "less
than x," where x is the minimum detectable amount.

If you are trying to evaluate results in which this type of number is part
of the discussion, I suggest you put in the minimum detectable amount, or
perhaps a bit less.  See what happens then.

Jay

Garbriel wrote:

> I have a question. Thanks a lot for your help,
> It is about statistics in computing phi correlation coefficient: ( which
> is a special formula for the Pearson product-moment correlation in the
> particular case of two binary variable.)
>
> We used the method described in
>
> http://www.cmh.edu/stats/definitions/phi.htm
>
> See the following contigency table ,
>
>      Y+    Y-
>    -------------
> X+ |a11 | a12|
>    ------------
> X- |a21 | a22|
>    -----------
>
> Defination of Phi,
>
>       a11*a22 - a21*a12
> phi= ---------------------------------------------
>       sqrt((a11+a12)*(a21+a22)*(a11+a21)*(a12+a22))
>
> phi>0.7 strong correlation.
> phi>0.3 weak correlation
>
> However, there is limitations in this calculation,
>
> since if X- is zero, so, a21=0, a22=0;
> *************************************
> There will appear 0/0.
>  (and also big problem in p_value calculation).
>
> How to solve this? Is there any other method to quatitfy this when
> denominator (4 sums)  appear 0? ( I think phi correlation coeeficient is
> not qualified to this situation.) And also compute p value or other
> statistics term in this situation?
> .
> .
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--
Jay Warner
Principal Scientist
Warner Consulting, Inc.
4444 North Green Bay Road
Racine, WI 53404-1216
USA

Ph: (262) 634-9100
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