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 168 stratified random sampling
use https://stats.idre.ucla.edu/stat/books/sop/jacktwn2.dta, clear
svyset [pweight=sampwt], strata(stratum) fpc(npop)
svytotal twin
Survey total estimation
pweight: sampwt Number of obs = 831
Strata: stratum Number of strata = 18
PSU: <observations> Number of PSUs = 831
FPC: npop Population size = 256998
------------------------------------------------------------------------------
Total | Estimate Std. Err. [95% Conf. Interval] Deff
---------+--------------------------------------------------------------------
twin | 26055.4 3791.044 18614.01 33496.78 1.988843
------------------------------------------------------------------------------
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 twin, by(quart1)
Survey total estimation
pweight: sampwt Number of obs = 831
Strata: stratum Number of strata = 18
PSU: <observations> Number of PSUs = 831
FPC: npop Population size = 256998
------------------------------------------------------------------------------
Total Subpop. | Estimate Std. Err. [95% Conf. Interval] Deff
---------------+--------------------------------------------------------------
twin |
quart1==1 | 19183.8 2661.629 13959.33 24408.28 1.293026
quart1==2 | 6737.907 2696.605 1444.778 12031.04 3.590895
quart1==3 | 133.687 126.7443 -115.0976 382.4715 .3895368
------------------------------------------------------------------------------
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.