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

Where

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(á¹«post) by

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Sampling Design and Analysis

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Authors: Sharon L. Lohr

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Question Posted: Nov 27, 2015 01:55 AM

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Variance estimation with post stratification. Suppose we post stratify the sample into L post strata, with population

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Ni Ν; l-I l=2.wixliyi, Ni= ies 1-1

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Sampling Design and Analysis

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