The use of residuals for model checking has been well-developed in linear regression theory (see for example Weisberg, 2014 ). The residuals are plotted versus some quantity, such as a covariate value, and the observed pattern is used to diagnose possible problems with the fitted model. Some residuals have the additional property of not only indicating problems but also suggesting remedies. That is the pattern of the plotted residuals may suggest an alternative model that fits the data better. Many of these residuals have been generalized to survival analysis. In addition, the fact that survival data evolves over time, and requires special assumptions such as proportional hazards, makes it necessary to develop additional diagnostic residual methods.
KeywordsModel Check Hazard Function Proportional Hazard Assumption Partial Likelihood Schoenfeld Residual
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