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Activity Number: 513
Type: Contributed
Date/Time: Thursday, August 2, 2007 : 8:30 AM to 10:20 AM
Sponsor: Section on Survey Research Methods
Abstract - #308788
Title: Sample Allocation Under a Population Model and Stratified Inclusion Probability Proportional to Size Sampling
Author(s): Steven Heeringa and SunWoong Kim*+ and Peter Solenberger
Companies: Institute for Social Research and Dongguk University and Institute for Social Research
Address: Jung-Gu Pil-Dong 3 Ga 26 , Seoul, 100-715, Korea
Keywords: Superpopulation Regression Model ; Stratified Sampling ; Sample Allocation
Abstract:

Many studies have been conducted on sample allocation for stratified sampling designs. We consider optimal allocation for stratified sample designs in which there is a population regression model for the variable of interest. We present a flexible approach for optimal sample allocation to minimize the expected variance of the Horvitz-Thompson estimator under the population regression model. We show that the presence of the intercept in the model produces a comparatively complicated allocation problem. For one popular IPPS sampling scheme we show how to determine stratum sample sizes based on optimization theory.

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Revised September, 2007