Simple derivations of variance formulas in two-stage simple random sampling

21-12-2011 15:00

This paper gives alternative derivations for the standard variance formulas in two-stage sampling. The derivations are based on a direct use of the statistical properties of the sampling errors in the second stage. For the ease of exposition we examine the specific case that simple random sampling is used in both stages. These derivations might be useful for readers looking for more elementary approaches to two-stage sampling.

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