An Exact Small Sample Theory for Post-Stratification.
TEXAS A AND M UNIV COLLEGE STATION
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A genuine small sample theory for post-stratification is developed in this paper. This includes the definition of a ratio estimator of the population mean Y, the derivation of its bias and its exact variance and a discussion of variance estimation. The estimator has both a within strata component of variance which is comparable with that obtained in proportional allocation stratified sampling and a between strata component of variance which will tend to zero as the overall sample size becomes large. Certain optimality properties of the estimator are obtained. The generalization of post-stratification from the simple random sampling to post-stratification used in conjunction with stratification and multi-stage designs is discussed. Author
- Statistics and Probability