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Locally D-optimal Designs for Binary Responses in the Presence of Factorial Effects

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We consider the problem of finding D-optimal designs for certain generalized linear models (GLMs). In particular, we study GLMs with factorial effects and one continuous covariate. The factorial effects include… Click to show full abstract

We consider the problem of finding D-optimal designs for certain generalized linear models (GLMs). In particular, we study GLMs with factorial effects and one continuous covariate. The factorial effects include both main effects and interactions, and the design region for the continuous covariate can be unrestricted. The local D-optimality of the proposed design is established through the equivalence theorem, and the results are illustrated with an electrostatic discharge (ESD) experiment.

Keywords: responses presence; binary responses; designs binary; locally optimal; factorial effects; optimal designs

Journal Title: Journal of Statistical Theory and Practice
Year Published: 2020

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