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VARIANCE ESTIMATION WITH HIGHLY STRATIFIED SAMPLING DESIGNS WITH UNEQUAL PROBABILITIES
Authors:Yves G  Berger
Institution:The University of Reading
Abstract:It is common practice to design a survey with a large number of strata. However, in this case the usual techniques for variance estimation can be inaccurate. This paper proposes a variance estimator for estimators of totals. The method proposed can be implemented with standard statistical packages without any specific programming, as it involves simple techniques of estimation, such as regression fitting.
Keywords:Design-based inference  π-estimator  inclusion probabilities  least squares  random effect model
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