English

Optimal crossover designs for the proportional model

Statistics Theory 2013-11-13 v1 Statistics Theory

Abstract

In crossover design experiments, the proportional model, where the carryover effects are proportional to their direct treatment effects, has draw attentions in recent years. We discover that the universally optimal design under the traditional model is E-optimal design under the proportional model. Moreover, we establish equivalence theorems of Kiefer-Wolfowitz's type for four popular optimality criteria, namely A, D, E and T (trace).

Keywords

Cite

@article{arxiv.1311.2740,
  title  = {Optimal crossover designs for the proportional model},
  author = {Wei Zheng},
  journal= {arXiv preprint arXiv:1311.2740},
  year   = {2013}
}

Comments

Published in at http://dx.doi.org/10.1214/13-AOS1148 the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)

R2 v1 2026-06-22T02:05:41.935Z