Abstract
In this paper, we consider estimating the benchmark dose in a dose–response study with right-censored lifetime data, where the benchmark dose is the dose corresponding to a specific benchmark response, which is related to the probability that the lifetime of a subject receiving the dose is too short. Under the Cox or Weibull extension proportional hazards model, simultaneous lower confidence limits on the benchmark dose are developed. We further conduct a Monte Carlo study to investigate the performance of the proposed lower confidence limits. Finally, a real dataset is illustrated to demonstrate the application of the proposed procedures.
Acknowledgment
The authors thank the two referees for their constructive comments and suggestions which have greatly improved the presentation of the materials in this paper.