Australian & New Zealand Journal of Statistics

Theory & Methods: Conditioning on Auxiliary Variable Means in Finite Population Inference

Journal Article

This paper reviews conditional properties of the mean and total estimators of a finite population when auxiliary information is available. An exact design‐based conditional analysis for complex sampling designs is intractable, but an asymptotic conditional framework can be developed. Within such a framework the paper establishes sufficient conditions for conditional unbiasedness and explores conditional properties of various types of regression estimators. A sample statistic capable of indicating the presence of substantial conditional biases is proposed, and illustrated by a simulation study.

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