Variance estimation with post stratification. Suppose we post stratify the sample into L post strata, with population
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Variance estimation with post stratification. Suppose we post stratify the sample into L post strata, with population counts N1, N2. . . NL. Then the post stratified estimator for the population total is
And xli =1 if unit i is in post stratum l and 0 otherwise. Show, using linearization, that
We can thus let
and estimate V(ṫpost) by
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