On mantel-haenszel type estimators in simple nested case-control studies

Abstract

We are concerned with nested case-control studies in this article. For proportional hazards model, a class of over-all estimators of hazard ratios is presented when simple samples are drawn from risk sets. These estimators have the form of the Mantel-Haenszel estimator of odds ratio, and are consistent not only for large strata, but also for sparse data. Consistent estimators of the variances of the proposed hazard ratio estimators are also developed. An example is given to illustrate the proposed estimators.

Keywords:

• estimating equation
• large strata asymptotics
• partial likelihood
• proportional hazards model
• sparse data asymptotics

Additional information

Notes on contributors

Zhong-Zhan Zhang

Yoshinori Fuji