Mike Racz - Marist College
Estimation of a Population Proportion for a Two-Stage Cluster Sample: An Approach using Bayesian Predictive Inference
Given binary data from a two-stage cluster sample, estimation of the finite population proportion and the standard error of the estimate are of primary interest. The method of Bayesian Predictive inference uses a probabilistic specification which should be useful in many surveys of this type, and yields simple analytical expressions for the moments of the prior and posterior distributions. These inferences will be compared to the more traditional design based estimates, and those using empirical Bayes techniques.
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