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\[ \begin{array}{lcll} h & = & 1, 2, \ldots , H & \mbox{is the stratum number,} \\ & & & \mbox{with a total of } H \mbox{ strata} \\[0.08in] i & = & 1, 2, \ldots , n_ h & \mbox{is the cluster number within stratum } h, \\ & & & \mbox{with a total of } n_ h \mbox{ sample clusters in stratum } h \\[0.08in] j & = & 1, 2, \ldots , m_{hi} & \mbox{is the unit number within cluster } i \mbox{ of stratum } h \\ & & & \mbox{with a total of } m_{hi} \mbox{ sample units from cluster } i \mbox{ of stratum } h \\[0.08in] n & = & \sum _{h=1}^ H \sum _{i=1}^{n_ h} {m_{hi}} & \mbox{is the total number of observations in the sample} \\ \end{array} \]
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