Rich Ulrich <[EMAIL PROTECTED]> wrote in message news:<[EMAIL PROTECTED]>...
> The Finite Population Correction (FPC) is not used in 
> standard political polls -- which only tap a tiny fraction
> of the voting population.  It is used on election eve, 
> when votes are coming in, and then it is used with great
> caution;  or else folks can end up predicting (say) that
> Florida has gone to Bush by 100,000 votes.

Ouch, looks like I've been using the wrong formula for awhile, then. 
Could you give me a reference to the right way?


ru:
> Unfortunately, the theory is dull and tedious.

I'm finding that out as I consult with others!

ru:
> If you have pilot data, you can compute the test-total, and  you 
> can extrapolate to larger Ns and larger power.  If you don't 
> have any numbers to start with, I don't think you can get very
> far.  I don't see much as a theoretical problem, and I don't 
> see detail that allows better referrals for the concrete problem.

>  - The general problem of group-dependencies, of course,
> exist outside of 'regulation'.  There are some references 
> concerning 'effective sample size'  in a post by Jon Volstad,
> saved in my stats-FAQ  at 
> 
>   http://www.pitt.edu/~wpilib/statfaq/96sampn.html

Thanks for the link - he hints at the ability to correct for these
'design effects', but looks like I'll have to pursue the references to
find out how.

se:
> > it seems to me it would come up in many instances of evaluating
> > organizations as a whole, with many individuals, performing multiple
> > tasks (e.g a factory, with many employees, making many widgets each
> > and you wanted to estimate *factory-wide* the proportion of defects in
> > the widgets that was occurring - this is the *exact* same problem that
> > I have)
> [ ... ]

ru:
> From this, it seems like someone wants a small-variance 
> estimator of an overall total.  "Stratification of surveys" comes
> to mind.   Maybe someone has a formula or a reference,
> but you still would need to have an estimate of the 
> dependency, measured as an intraclass correlation or 
> something similar.

I'm not sure what you mean by a 'small-variance' estimator, but yes,
I'm after a number that represents the total organization.  This
factory example I thought demonstrated the generic and far-reaching
nature of this problem.  I have to disagree with your statement above
to the contrary (regarding it not containing a 'theoretical' problem -
whatever that means).  I'm not sure HOW these organizations do it, but
my guess is that a CEO would want to compare the defect-preventing
ability of different factories based on ONE overall estimate of the
proportion of possible defects that OCCUR in each factory, and dammit,
I'm sorry, he should be able to get it in an accurate fashion.  Maybe
in the 'real' world, they just assume independence and don't worry
about it - my colleague said that that always makes analyses more
conservative anyway, so the only danger is inflated Type II error.  Oh
well, I realize that probably the theory and math necessary is likely
beyond me, but I simply can't believe that this type of problem hasn't
come up in thousands of other situations.  I'm getting convinced that
the answer may lie in the multilevel modeling field, which embraces
and accounts for dependency, but alas, when I was in grad school, it
was just getting hot.  Perhaps I need to do a little reading...

Finally, regarding your comments about the nature of this group in
general, it appears that you are saying that it's primary purpose is
to point somewhat newbies to 'at worse a bit obscure' answers.  This
is a VERY valiant cause, and I'm sure that I could learn a thing or
two from reading it, but if that is so, where would be a more
appropriate place for a somewhat-seasoned data analyst to post
questions of a more 'obscure' nature?  I can only find 3 stat
newsgroups, and they only other one that seems like it might be the
one is sci.stat.consult.

Thanks for your help, Rich.  I appreciate the dynamic exchange.

Scott
.
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