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August 2013 Optimal crossover designs for the proportional model
Wei Zheng
Ann. Statist. 41(4): 2218-2235 (August 2013). DOI: 10.1214/13-AOS1148

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).

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Wei Zheng. "Optimal crossover designs for the proportional model." Ann. Statist. 41 (4) 2218 - 2235, August 2013. https://doi.org/10.1214/13-AOS1148

Information

Published: August 2013
First available in Project Euclid: 23 October 2013

zbMATH: 1277.62191
MathSciNet: MR3127864
Digital Object Identifier: 10.1214/13-AOS1148

Subjects:
Primary: 62K05
Secondary: 62J05

Keywords: A-optimality , Crossover designs , D-optimality , E-optimality , equivalence theorem , proportional model , pseudo symmetric designs

Rights: Copyright © 2013 Institute of Mathematical Statistics

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Vol.41 • No. 4 • August 2013
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