Abstract
( h, φ)-divergence statistics quantify the divergence between a joint probability and the product of its marginal probabilities on the basis of multidimensional contingency tables. Asymptotic distributions of these statistics are investigated in a stratified random sampling. The five hypotheses that may be tested in connection with mutidimensional contingency tables are considered as well as their corresponding asymptotic powers. The problem of optimum allocation is studied and the relative precision of stratified and simple random sampling is analyzed.
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