Cox regression model with time-varying coefficients in nested case-control studies
Open Access
- 3 June 2010
- journal article
- research article
- Published by Oxford University Press (OUP) in Biostatistics
- Vol. 11 (4), 693-706
- https://doi.org/10.1093/biostatistics/kxq037
Abstract
The nested case–control (NCC) design is a cost-effective sampling method to study the relationship between a disease and its risk factors in epidemiologic studies. NCC data are commonly analyzed using Thomas' partial likelihood approach under Cox's proportional hazards model with constant covariate effects. Here, we are interested in studying the potential time-varying effects of covariates in NCC studies and propose an estimation approach based on a kernel-weighted Thomas' partial likelihood. We establish asymptotic properties of the proposed estimator, propose a numerical approach to construct simultaneous confidence bands for time-varying coefficients, and develop a hypothesis testing procedure to detect time-varying coefficients. The proposed inference procedure is evaluated in simulations and applied to an NCC study of breast cancer in the New York University Women's Health Study.Keywords
This publication has 17 references indexed in Scilit:
- Age-Related Crossover in Breast Cancer Incidence Rates Between Black and White Ethnic GroupsJNCI Journal of the National Cancer Institute, 2008
- Polymorphisms in XPC and ERCC2 genes, smoking and breast cancer riskInternational Journal of Cancer, 2008
- Racial and ethnic disparities in breast cancer rates by age: NAACCR Breast Cancer ProjectBreast Cancer Research and Treatment, 2005
- On the Cox Model With Time-Varying Regression CoefficientsJournal of the American Statistical Association, 2005
- Local Linear Estimation for Time‐Dependent Coefficients in Cox's Regression ModelsScandinavian Journal of Statistics, 2003
- Efficient Estimation of Fixed and Time‐varying Covariate Effects in Multiplicative Intensity ModelsScandinavian Journal of Statistics, 2001
- Confidence bands for survival curves under the proportional: Hazards modelBiometrika, 1994
- Bootstrap Simultaneous Error Bars for Nonparametric RegressionThe Annals of Statistics, 1991
- Nonparametric Survival Analysis with Time-Dependent Covariate Effects: A Penalized Partial Likelihood ApproachThe Annals of Statistics, 1990
- Local Likelihood EstimationJournal of the American Statistical Association, 1987