Abstract #301237

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JSM 2003 Abstract #301237
Activity Number: 441
Type: Contributed
Date/Time: Thursday, August 7, 2003 : 8:30 AM to 10:20 AM
Sponsor: Section on Survey Research Methods
Abstract - #301237
Title: Comparison of With-Replacement and Without-Replacement Sampling Variances for a Complex Sample Survey With High Selection Rates for Primary Sampling Units
Author(s): Frank J. Potter*+ and Stephen R. Williams and Nuria Diaz-Tena and James Reschovsky
Companies: Mathematica Policy Research, Inc. and Mathematica Policy Research, Inc. and Mathematica Policy Research, Inc. and Center for Studying Health
Address: PO Box 2393, Princeton, NJ, 08543-2393,
Keywords: without-replacement variances ; with-replacement variances ; Community Tracking Study ; Yates-Grundy-Sen variance estimator ; physician surveys ; household surveys
Abstract:

The Community Tracking Study (CTS) includes national surveys of persons and physicians using a complex sampling design. The CTS surveys are primarily designed for tracking changes in the health care system at a community level (health care market areas), and also supports national estimates for key subpopulations. For national estimates, the health care market areas are the primary sampling units (PSUs). Since nearly 25% of PSUs are selected without replacement (WOR) and with unequal probabilities using Chromy's sequential selection algorithm, we computed joint inclusion probabilities and use the Yates-Grundy-Sen (YGS) variance estimator for the national estimates. Because limited software is currently available for the YGS estimator, we developed specifications for using the with-replacement (WR)sampling variance estimation assumption. We expected a loss in precision, but found some situations where this is not true. We present a comparison of the estimated sampling variances for the full populations and selected subpopulations for categorical data using both the WOR and the WR estimation assumptions. We discuss situations when the WR variances are smaller than the WOR variances.

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