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

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 f...

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Bibliographic Details
Published in:Australian & New Zealand journal of statistics 2000-12, Vol.42 (4), p.407-421
Main Author: Montanari, Giorgio E.
Format: Article
Language:English
Subjects:
optimal estimator
regression estimation
survey sampling
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Summary: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.
ISSN:1369-1473
1467-842X
DOI:10.1111/1467-842X.00138