JSM 2004 - Toronto

Abstract #301480

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Activity Number: 162
Type: Contributed
Date/Time: Monday, August 9, 2004 : 2:00 PM to 3:50 PM
Sponsor: Section on Survey Research Methods
Abstract - #301480
Title: On Fitting the Proportional Hazards Model to Data from Complex Surveys
Author(s): Susana Rubin Bleuer*+
Companies: Statistics Canada
Address: 120 Parkdale Ave., Ottawa, ON, K1A-0T6, Canada
Keywords: survey data ; counting processes ; joint design-model ; proportional hazards
Abstract:

Binder (1992) proposed a method of fitting the proportional hazards regression model to survey data with complex sampling designs via a sample regression estimator defined as the solution of the weighted sample partial likelihood score (SPLS) function. Lin (2000) gave a formal justification of Binder's method under the super-population approach. However, he did not provide conditions for the asymptotic theory to hold. I use Lin's (2000) set up of the super-population approach and develop counting process methodology for a joint design-model space, to obtain, under stated sufficient model and design conditions, a rigorous proof of the weak convergence of the SPLS process and the asymptotic normality of the sample weighted regression estimator in the joint design-model space envisaged by Lin (2000).

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