A family of proportional- and additive-hazards models for the analysis of grouped survival data is developed. This family generalizes the unpublished work of F.J. Aranda-Ordaz and follows Holford (1976, Biometrics 32, 227-237). It contains the proportional-hazards model for grouped data, as well as additive-hazards models with time trends. The time trends prove to be useful in an example in which the hazards of the two groups cross.
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Tibshirani et al. (1983) studied this question.
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