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

NOTE: If you want to see the design effect or the misspecification effect, use estat effects after the command.

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)

      pweight: wt1
          VCE: linearized
     Strata 1: <one>
         SU 1: <observations>
        FPC 1: M

svy: mean xibar
(running mean on estimation sample)

Survey: Mean estimation

Number of strata =       1          Number of obs    =       6
Number of PSUs   =       6          Population size  =      54
                                    Design df        =       5

--------------------------------------------------------------
             |             Linearized
             |       Mean   Std. Err.     [95% Conf. Interval]
-------------+------------------------------------------------
       xibar |   4.498333   .5310139      3.133318    5.863348
--------------------------------------------------------------

svy: total xi
(running total on estimation sample)

Survey: Total estimation

Number of strata =       1          Number of obs    =       6
Number of PSUs   =       6          Population size  =      54
                                    Design df        =       5

--------------------------------------------------------------
             |             Linearized
             |      Total   Std. Err.     [95% Conf. Interval]
-------------+------------------------------------------------
          xi |        729   85.94882      508.0615    949.9385
--------------------------------------------------------------