Abstract #301817

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JSM 2003 Abstract #301817
Activity Number: 240
Type: Contributed
Date/Time: Tuesday, August 5, 2003 : 10:30 AM to 12:20 PM
Sponsor: Section on Survey Research Methods
Abstract - #301817
Title: Comparison of Linear and Nonlinear Models for Generalized Variance Functions for the National Survey on Drug Use and Health
Author(s): Harper Gordek*+ and Avinash C. Singh
Companies: RTI International and RTI International
Address: 3040 Cornwallis Rd., RTP, NC, 27709,
Keywords:
Abstract:

The generalized variance function (GVF) provides an approximation to the variance of an arbitrary domain estimate by means of modeling the relationship between the estimated variances of a selected set of domain estimates and a set of covariates, rather than through direct computation. The use of GVF is important in surveys with a very large number of characteristics, where publishing limitations and the immense amount of potential subgroupings may make several variance estimates of interest unavailable directly. For the National Survey on Drug Use and Health (NSDUH), GVFs were obtained using linear models with the log of the relative variance as the dependent variable as well as a somewhat modified version that ensures the resulting design effect to be at least one. We consider a nonlinear generalization of these models. Numerical results on comparison of various models using the 2001 NSDUH data will be presented.

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