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Optimal designs for 2k factorial experiments with binary response

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journal contribution
posted on 21.06.2017, 00:00 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.

History

Publisher Statement

This is the pre-peer reviewed version of the following article: Yang, Jie, Abhyuday Mandal, and Dibyen Majumdar. "Optimal Designs for 2k factorial experiments with binary response." Statistica Sinica 26 (2016): 385-411., which has been published in final form at DOI: 10.5705/ss.2013.265.

Publisher

Academia Sinica, Institute of Statistical Science

issn

1017-0405

Issue date

01/01/2016