OPTIMAL DESIGNS.pdf (255.9 kB)
OPTIMAL DESIGNS FOR 2(k) FACTORIAL EXPERIMENTS WITH BINARY RESPONSE.
journal contributionposted on 2016-05-10, 00:00 authored by J Yang, A Mandal, D Majumdar
We consider the problem of obtaining D-optimal designs for factorial experiments with a binary response and k qualitative factors each at two levels. We obtain a characterization of locally D-optimal designs. We then develop efficient numerical techniques to search for locally D-optimal designs. Using prior distributions on the parameters, we investigate EW D-optimal designs that maximize the determinant of the expected information matrix. It turns out that these designs can be obtained easily using our algorithm for locally D-optimal designs and are good surrogates for Bayes D-optimal designs. We also investigate the properties of fractional factorial designs and study robustness with respect to the assumed parameter values of locally D-optimal designs.
This work has been supported by grants (EY018828 and EY001792) from the National Eye Institute, Bethesda, MD, an unrestricted departmental grant from Research to Prevent Blindness, New York, NY; and a grant award G2013110 from BrightFocus Foundation, Clarksburg, MD.
Publisher StatementThis is the author’s version of a work that was accepted for publication in Statistica Sinica. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Statistica Sinica, 2016. 26(1): 385-411. DOI: 10.5705/ss.2013.265.
PublisherAcademia Sinica, Institute of Statistical Science
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