Journal
BIOMETRICS
Volume 67, Issue 4, Pages 1340-1351Publisher
WILEY-BLACKWELL
DOI: 10.1111/j.1541-0420.2011.01590.x
Keywords
Additive models; Clustered survival; Goodness of fit; Hazards rate; Moment methods; Random effects
Funding
- National Institutes of Health [R01-HL57444, P01-CA142538]
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We propose an additive mixed effect model to analyze clustered failure time data. The proposed model assumes an additive structure and includes a random effect as an additional component. Our model imitates the commonly used mixed effect models in repeated measurement analysis but under the context of hazards regression; our model can also be considered as a parallel development of the gamma-frailty model in additive model structures. We develop estimating equations for parameter estimation and propose a way of assessing the distribution of the latent random effect in the presence of large clusters. We establish the asymptotic properties of the proposed estimator. The small sample performance of our method is demonstrated via a large number of simulation studies. Finally, we apply the proposed model to analyze data from a diabetic study and a treatment trial for congestive heart failure.
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