In this article, we test the effects of predictors in survival regression through two well-known sufficient dimension reduction methods. Since the usual sufficient dimension reduction methods do not require pre-specified models, the predictor effect tests can be considered model-free. All of the test statistics have χ2 distributions. Numerical studies of the proposed predictor effect tests in various simulations and real data application are presented.
- Inverse regression
- Ordinary least square
- Predictor tests
- Sufficient dimension reduction
- Survival regression