A Frailty Model in Crossover Studies with Time-to-Event Response Variable

作者：Shvartsman Ilya^*; Chinchilli Vernon M; Liu Hsiao pin

来源：Communications in Statistics - Simulation and Computation, 2012, 41(10): 1960-1969.

DOI：10.1080/03610918.2011.627098

• Crossover design
• Frailty
• Maximum likelihood
• Proportional hazards

In this article, we develop a model to study treatment, period, carryover, and other applicable effects in a crossover design with a time-to-event response variable. Because time-to-event outcomes on different treatment regimens within the crossover design are correlated for an individual, we adopt a proportional hazards frailty model. If the frailty is assumed to have a gamma distribution, and the hazard rates are piecewise constant, then the likelihood function can be determined via closed-form expressions. We illustrate the methodology via an application to a data set from an asthma clinical trial and run simulations that investigate sensitivity of the model to data generated from different distributions.

• 出版日期2012-11-1