A parametric model for long‐term follow‐up data from phase III breast cancer clinical trials
- 8 January 2003
- journal article
- research article
- Published by Wiley in Statistics in Medicine
- Vol. 22 (3) , 339-352
- https://doi.org/10.1002/sim.1349
Abstract
We propose a parametric version of a univariate gamma frailty model. The proposed model is shown to be flexible enough to model long‐term follow‐up survival data from breast cancer clinical trials when the treatment effect diminishes as time progresses, a case for which neither the proportional hazards nor proportional odds assumptions are satisfied. The observed information matrix is computed to evaluate the variances of parameter estimates. A simple parametric test statistic to test proportional odds assumption is also constructed. The model is applied to a data set from a phase III clinical trial on breast cancer. Copyright © 2003 John Wiley & Sons, Ltd.Keywords
This publication has 15 references indexed in Scilit:
- Semiparametric Inference in the Proportional Odds Regression ModelJournal of the American Statistical Association, 1999
- Maximum Likelihood Estimation in the Proportional Odds ModelJournal of the American Statistical Association, 1997
- A Generalization of the Weibull Distribution with Application to the Analysis of Survival DataJournal of the American Statistical Association, 1996
- Five Versus More Than Five Years of Tamoxifen Therapy for Breast Cancer Patients With Negative Lymph Nodes and Estrogen Receptor-Positive TumorsJNCI Journal of the National Cancer Institute, 1996
- Fitting Weibull duration models with random effectsLifetime Data Analysis, 1995
- A Randomized Clinical Trial Evaluating Tamoxifen in the Treatment of Patients with Node-Negative Breast Cancer Who Have Estrogen-Receptor–Positive TumorsNew England Journal of Medicine, 1989
- Estimation and Testing in a Two-Sample Generalized Odds-Rate ModelJournal of the American Statistical Association, 1988
- Survival models for heterogeneous populations derived from stable distributionsBiometrika, 1986
- Analysis of survival data by the proportional odds modelStatistics in Medicine, 1983
- Partial likelihoodBiometrika, 1975