O'Quigley J, Pessione F
Fred Hutchinson Cancer Research Center, University of Washington, Seattle 98104.
Biometrics. 1989 Mar;45(1):135-44.
A simple model, containing the proportional hazards regression model as a special case, is presented. The purpose of the model is to provide a framework in which specific alternatives to the proportional hazards assumption may be tested. Rank-invariant score tests for linear, quadratic, or exponential trends can, for instance, all be undertaken within this framework. In the case of the two-sample problem the required calculations are shown to take a particularly simple form. Special consideration is given to the two-sample case in which there is an inversion of the regression effect, i.e., where the hazard functions cross at some given point. Both of the motivating examples are concerned with this problem. Computational aspects are relatively straightforward and some discussion on this is provided.
提出了一个简单模型，比例风险回归模型是该模型的一个特例。该模型的目的是提供一个框架，在这个框架中可以检验比例风险假设的特定替代方案。例如，线性、二次或指数趋势的秩不变得分检验都可以在这个框架内进行。在两样本问题的情况下，所需计算呈现出特别简单的形式。特别考虑了回归效应发生反转的两样本情况，即危险函数在某个给定点相交的情况。两个激励示例都涉及这个问题。计算方面相对简单，并对此进行了一些讨论。
