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Activity Number: 40
Type: Invited
Date/Time: Sunday, July 29, 2007 : 4:00 PM to 5:50 PM
Sponsor: SSC
Abstract - #308093
Title: Longitudinal Data in Threshold Regression: Implementation and Relation to Cox Regression with Time-Varying Covariates
Author(s): Mei-Ling Ting Lee*+ and George A. Whitmore
Companies: The Ohio State University and McGill University
Address: B-122 Starling-Loving Hall, Biostatistics Division, Columbus, OH, 43210,
Keywords: survival analysis ; Cox regression ; longitudinal data ; wiener process ; boundary crossing ; time-varying covariates
Abstract:

Longitudinal survival data pose an interesting challenge. Lee and Whitmore (2007) review a new regression methodology for survival data referred to as threshold regression. The methodology is based on the concept that degradation of an item follows a stochastic process and failure occurs when the process first reaches a failure state or threshold. Breaking longitudinal records into series of single records is one strategy that has been proposed. This study looks at the formal conditions that must hold for this uncoupling procedure to be valid. The conditions are examined in terms of both theory and practical application. The uncoupling procedure modifies the time scale for the analysis and can be used in conjunction with an operational time scale. We show that the Cox proportional hazards regression model with time-varying covariates is a special semi-parametric version of the model.


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