Abstract
In this paper we consider the allocation problem for multivariate stratified surveys. If the stratum variances for the different variates are not distributed in the same way Neyman allocation optimizing the measurement of one variate is of limited value. In our formulation we determine the allocation such that sample estimates meet stated levels of precision or tolerance at minimum cost. Solution of the allocation problem is shown to be a programming problem and an example is given to illustrate it. By obtaining the solution to one plan a sampler essentially obtains the solution to a whole series of plans. The problem of tolerance setting is then discussed. An emprical solution, based on practical rather than some over-riding theoretical consideration, to the problem is given. A set of coefficients which elucidate the cost implications of each of the tolerances are derived.
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