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Biometrika 1987 74(4):735-742; doi:10.1093/biomet/74.4.735
© 1987 by Biometrika Trust
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Mixed orthogonal arrays for variance estimation with unequal numbers of primary selections per stratum

V. K. GUPTA and A. K. NIGAM

Indian Agricultural Statistics Research Institute, Library Avenue New Delhi 110012, India

For estimating the variance of nonlinear statistics in large-scale complex surveys, the method of balanced repeated replications has received special attention. The method at present is useful in stratified clustered designs with equal number of primary selections from each stratum. This paper extends the method to general sample designs with arbitrary number of selections from each stratum. It is shown that mixed orthogonal arrays of strength two, or equivalently, equal frequency orthogonal main-effect plans for asymmetrical factorials give a set of balanced subsamples useful in variance estimation.

Key Words: Balanced repeated replication • Mixed orthogonal arrays of strength two • Jackknife repeated replication


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