JSM 2005 - Toronto

Abstract #304099

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 145
Type: Contributed
Date/Time: Monday, August 8, 2005 : 10:30 AM to 12:20 PM
Sponsor: Section on Survey Research Methods
Abstract - #304099
Title: A Comparison of Tet Statistics for Complex Survey Data when the Degrees of Freedom is Small
Author(s): Lester Curtin*+ and Barry Graubard
Companies: Centers for Disease Control and Prevention and National Cancer Institute
Address: 3311 Toledo Road, Hyattsville, MD, 20782, United States
Keywords: Wald Chi-Square Test ; Satterthwaite Adjustment ; Design-based analysis ; Degrees of Freedom ; Complex survey data
Abstract:

For design-consistent analysis of complex survey data, commercial software packages provide a number of alternative test statistics for model main effect and interaction terms. For example, SUDAAN provides a Wald chi-square, two Wald F-tests (Felligi, Shah), a Satterthwaite-adjusted chi-square (Rao, Scott) and a Satterthwaite-adjusted F (Shah). For many complex survey designs, these test statistics are based on assumptions that the degrees of freedom are number PSU minus number of strata, that sample population is distributed evenly across PSUs, and the number sample persons within each PSU is large enough that asymptotic normality holds. Previous research looked at some of these test statistics when these assumptions hold (Korn and Graubard 1995). For some survey data, the underlying assumptions may not hold. For NHANES 1999--2000 and 2001--2002, there are fewer than 30 PSUs and 15 degrees of freedom. For analytic subdomains based on race and ethnicity, some PSUs have no sample persons, thus further limiting the number of degrees of freedom.

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