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Biometrika 1989 76(4):818-821; doi:10.1093/biomet/76.4.818
© 1989 by Biometrika Trust
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MISCELLANEA

Two-phase sampling for selection with probability proportional to size in sample surveys

T. SRIVENKATARAMANA and D. S. TRACY

Department of Statistics, Bangalore University Bangalore 560056, India
Department of Mathematics and Statistics, University of Windsor Windsor, Ontario N9B 3P4, Canada

Särndal & Swensson (1987) have given a general framework of estimation in two-phase sampling assuming arbitrary probability by sampling designs in both the phases where the selections are without replacement. This note discusses a specific with replacement version of the scheme where a ratio of two variables is suggested as a measure of size of the units and a mean of the ratios-type estimator is proposed. A comparison is made with the Raj (1965) scheme employing the difference method of estimation.

Key Words: Auxiliary character • Design variance • Difference method of estimation • PPS sampling • Size measure • Two-phase sampling • Unbiased estimator


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