Abstract
Summary In this review paper, the problem of optimum allocation of sample size to strata is examined in the light of a priori distributions. We first consider Neyman's optimum allocation in the case of the Simple Random Sampling (SRS) scheme and review the results concerning the justification for the assumption that the unknown proportionate values of within stratum variances ca's can be replaced by the known proportionate values of aVc's which are the corresponding within stratum variances based on the auxiliary information. We next review the problem of optimum stratification with proportional and optimum allocations in the case of SRS in the light of a priori distributions and discuss the role of arranging the auxiliary variate in increasing order for stratification. We then turn our attention to varying probability sampling schemes and present a review of the results based on a study discussing whether a stratified ,rPS (PPS) strategy with various non-optimal allocations is likely to be worth while in practice.
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