Does anyone know of a sampling formula to use for a proportion when
you have 'clusters' of dependent cases in the population?
I have to calculate a proportion of certain criteria that are met upon
inspection of records in an agency.  The problem is that a single
employee may complete 10-20 records, therefore the assumption of
independence of cases is blown.  Therefore, I can't use the old
tried-and-true sampling formula:

          2 
         t PQ                   n=sample size
         ----                   t=t-value for desired confidence level
           2                      (e.g. 1.96 for 95%)
          d                     P=proportion with trait in population
n=  --------------------         (if unknown, 50% most conservative)
                2               Q=1-P
        1      t PQ             d=desired precision
    1 + -- * ( -----  -  1 )     (confidence int = proportion +-d)
        N        2              N=population size
                d

which is used for, like, political polls where every case is an
independent person.
What do I do?

Thanks much!
Scott Edwards
Tallahassee, FL
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