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Stata FAQ
How do I analyze survey data with a repeated systematic sample design?

The examples below use Stata 8.  If you are using Stata version 9, please see this page.

This example is taken from Levy and Lemeshow's Sampling of Populations.

page 106 repeated systematic sampling

input cluster xi wt1 xibar M
2 15 9 5 54
13 13 9 4.33 54
31 12 9 4.00 54
34 10 9 3.33 54
46 21 9 7 54
53 10 9 3.33 54
end
svyset [pweight=wt1], fpc(M)
svymean xibar

Survey mean estimation

pweight:  wt1                                     Number of obs    =         6
Strata:   <one>                                   Number of strata =         1
PSU:      <observations>                          Number of PSUs   =         6
FPC:      M                                       Population size  =        54

------------------------------------------------------------------------------
    Mean |   Estimate    Std. Err.   [95% Conf. Interval]        Deff
---------+--------------------------------------------------------------------
   xibar |   4.498333    .5310139    3.133318    5.863348           1
------------------------------------------------------------------------------
Finite population correction (FPC) assumes simple random sampling without 
replacement of PSUs within each stratum with no subsampling within PSUs.
Weights must represent population totals for deff to be correct when
using an FPC.  Note: deft is invariant to the scale of weights.

svytotal xi

Survey total estimation

pweight:  wt1                                     Number of obs    =         6
Strata:   <one>                                   Number of strata =         1
PSU:      <observations>                          Number of PSUs   =         6
FPC:      M                                       Population size  =        54

------------------------------------------------------------------------------
   Total |   Estimate    Std. Err.   [95% Conf. Interval]        Deff
---------+--------------------------------------------------------------------
      xi |        729    85.94882    508.0615    949.9385           1
------------------------------------------------------------------------------
Finite population correction (FPC) assumes simple random sampling without 
replacement of PSUs within each stratum with no subsampling within PSUs.
Weights must represent population totals for deff to be correct when
using an FPC.  Note: deft is invariant to the scale of weights.

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