JSM 2015 Preliminary Program

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Activity Number: 299
Type: Topic Contributed
Date/Time: Tuesday, August 11, 2015 : 8:30 AM to 10:20 AM
Sponsor: Survey Research Methods Section
Abstract #315001 View Presentation
Title: Improving Efficiency Under Two-Phase Sampling
Author(s): Takumi Saegusa* and Jon August Wellner
Companies: Fred Hutchinson Cancer Research Center and University of Washington
Keywords: calibration ; two-phase sampling ; semiparametric model
Abstract:

We consider improving the efficiency of the weighted likelihood estimator (WLE) under two-phase stratified sampling in a general semiparametric model. Our proposed method uses observations not sampled at the second phase. This idea has been examined in various ways both in biostatistics and survey sampling. Estimating weights in the WLE is a representative method in biostatistics where two-phase sampling is often treated as a special case of missing data problems that assume independence for mathematical convenience. Calibration and post-stratification are standard methods in general complex survey where observations are dependent through sampling. We prove that these existing methods are asymptotically equivalent under certain transformations of variables. Moreover, we show that these general techniques may not guarantee efficiency gain in our sampling scheme. Our method is tailored to two-phase stratified sampling, and necessarily makes improvements on the WLE in this sampling design as well as stratified Bernoulli sampling. We illustrate our theoretical results in a simulation study and real data example.


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