Farrington C P
Department of Statistics, The Open University, Milton Keynes, UK.
Biometrics. 2000 Jun;56(2):473-82. doi: 10.1111/j.0006-341x.2000.00473.x.
We develop diagnostic tools for use with proportional hazards models for interval-censored survival data. We propose counterparts to the Cox-Snell, Lagakos (or martingale), deviance, and Schoenfeld residuals. Many of the properties of these residuals carry over to the interval-censored case. In particular, the interval-censored versions of the Lagakos and Schoenfeld residuals may be derived as components of suitable score statistics. The Lagakos residuals may be used to check regression relationships, while the Schoenfeld residuals can help to detect nonproportional hazards in semiparametric models. The methods apply to parametric models and to the semiparametric model with discrete observation times.
我们开发了用于区间删失生存数据的比例风险模型的诊断工具。我们提出了与Cox-Snell、Lagakos(或鞅)、偏差和Schoenfeld残差相对应的量。这些残差的许多性质都适用于区间删失的情况。特别地,Lagakos和Schoenfeld残差的区间删失版本可以作为合适的得分统计量的组成部分推导出来。Lagakos残差可用于检验回归关系,而Schoenfeld残差有助于检测半参数模型中的非比例风险。这些方法适用于参数模型和具有离散观测时间的半参数模型。