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Activity Number: 71
Type: Contributed
Date/Time: Sunday, July 29, 2007 : 4:00 PM to 5:50 PM
Sponsor: Section on Survey Research Methods
Abstract - #309468
Title: Optimal Estimators for Two-Phase Sample Designs
Author(s): Stephen Ash*+
Companies: U.S. Census Bureau
Address: 5405 8th road south, Arlington, VA, 22204,
Keywords: auxiliary information ; generalized regression estimator ; model-assisted
Abstract:

This paper extends the general result of the optimal estimator (Montanari 1987) to the two-phase sample design. We do this for several different combinations of auxiliary variables that can be available with the two-phase sample design. For each combination of auxiliary variables, we define an appropriate model and associated generalized regression estimator (Cassel et. al. 1976). We then find parameters which minimize the survey variances, i.e. which make the estimators "optimal." The paper concludes with a example that compares the optimal estimators with their calibration counterparts.


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Revised September, 2007