论文信息 - A Global Goodness‐Of‐Fit Statistic for the Proportional Hazards Model

A Global Goodness‐Of‐Fit Statistic for the Proportional Hazards Model

A simple alternative to the proportional hazards model is considered, whereby the regression coefficients can vary with time. It leads to a statistic which can be used for checking the assumption of proportional hazards. In the two‐sample problem, this statistic is the same as Schoenfeld's (1980); a conservative version, computationally simple, is proposed in this case.

[1] David R. Cox,et al. Regression models and life tables (with discussion , 1972 .

[2] N. Breslow,et al. Remarks on the conservatism of sigma(0 -- E)2/E in survival data. , 1975, Biometrics.

[3] W. H. Carter,et al. Analysis of survival data with nonproportional hazard functions. , 1981, Controlled clinical trials.

[4] David A. Schoenfeld,et al. Partial residuals for the proportional hazards regression model , 1982 .

[5] J. Anderson,et al. A Two-step Regression Model for Hazard Functions , 1982 .

[6] R. Kay,et al. Proportional Hazard Regression Models and the Analysis of Censored Survival Data , 1977 .

[7] Per Kragh Andersen,et al. Testing Goodness of Fit of Cox's Regression and Life Model , 1982 .

[8] Calyampudi Radhakrishna Rao,et al. Linear Statistical Inference and its Applications , 1967 .

[9] Stephen W. Lagakos,et al. The graphical evaluation of explanatory variables in proportional hazard regression models , 1981 .

[10] David A. Schoenfeld,et al. Chi-squared goodness-of-fit tests for the proportional hazards regression model , 1980 .

[11] N. Breslow. Covariance analysis of censored survival data. , 1974, Biometrics.

[12] S. Pocock,et al. Regression Models and Non‐Proportional Hazards in the Analysis of Breast Cancer Survival , 1984 .

[13] Calyampudi R. Rao,et al. Linear Statistical Inference and Its Applications. , 1975 .