2002/03/01 by Mario Stylianou, Nancy Flournoy · 2 citations
Mathematics · Decision Sciences · #Statistical Methods in Clinical Trials #Optimal Experimental Design Methods #Statistical Methods and Inference
paper · doi:10.1111/j.0006-341x.2002.00171.x
openalex publication_date 2002/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/16
We are interested in finding a dose that has a prespecified toxicity rate in the target population. In this article, we investigate five estimators of the target dose to be used with the up-and-down biased coin design (BCD) introduced by Durham and Flournoy (1994, Statistical Decision Theory and Related Topics). These estimators are derived using maximum likelihood, weighted least squares, sample averages, and isotonic regression. A linearly interpolated isotonic regression estimate is shown to be simple to derive and to perform as well as or better than the other target dose estimators in terms of mean square error and average number of subjects needed for convergence in most scenarios studied.