st: FPC & 2-stage cluster sampling

["Ali Karim" <mehryar@hotmail.com>]

Dear Statalist readers,

I have a dataset with two-stage cluster sampling. In first stage 30 PSU�s 
were selected randomly (without replacement) from a universe of 60 clusters 
(i.e. fpc = .5). On the second stage 30 households were selected randomly 
from each PSU. I planned to analyze household attributes using Stata�s �svy� 
commands. I did the following:-

.svyset psu cluster
.svyset fpc frac

And then run my survey commands. The output gave me the following comment:- 
�Finite population correction (FPC) assumes simple random sampling without 
replacement of PSUs within each stratum with no sub-sampling within PSUs�. 
However, the assumption does not seem to hold for my sampling design. 
Therefore, I am not sure how the assumption affects my analysis. Am I using 
the survey command correctly for my given situation?

Thanks in advance.
Ali

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