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Biometrika 1990 77(4):807-814; doi:10.1093/biomet/77.4.807
© 1990 by Biometrika Trust
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Optimal controlled sampling designs

J. N. K. RAO and A. K. NIGAM

Department of Mathematics & Statistics, Carleton University Ottawa K1S 5B6, Canada
Department of Statistics, Lucknow University Lucknow 226017, India

Optimal controlled sampling designs that minimize the probability of selecting nonpreferred sample are obtained. These plans satisfy either of the following two require ments: (i) match specified joint inclusion probabilities, {Pi}ij, associated with an uncon trolled sampling plan having certain desirable properties; (ii) match specified first-order inclusion probabilities and provide stable, nonnegative unbiased variance estimators. Limitations of other approaches using methods of experimental designs are demonstrated.

Key Words: Incomplete block design • Linear programming • Minimum support size • Nonpreferred sample


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