Linear Regression Analysis of Censored Survival Data Based on Rank Tests
针对删失数据线性模型,提出简单方法对部分回归系数进行推断,并给出线性模型的拟合不足检验,通过实例说明应用。
Recently linear rank statistics with censored data have been used as the estimating functions for the regression parameters in the linear model with an unspecified error distribution. The resulting rank estimators are consistent and asymptotically normal. However, the asymptotic variances of these estimators are complicated and are difficult to estimate well with censored data. In this paper, we propose some simple methods for making inference about a subset of the regression coefficients while regarding others as nuisance parameters. A lack-of-fit test for the linear model is also presented. The proposed procedures are illustrated with an example.