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A note on locally optimal designs for generalized linear models with restricted support

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  • Idais, Osama

Abstract

We consider the generalized linear models. Particular assumptions are proposed to derive a locally optimal design for a model without intercept from a locally optimal design for the corresponding model with intercept and vice versa. We concentrate on D- and A-optimal designs. Applications to Poisson and logistic models and Extensions to nonlinear models are provided.

Suggested Citation

  • Idais, Osama, 2020. "A note on locally optimal designs for generalized linear models with restricted support," Statistics & Probability Letters, Elsevier, vol. 159(C).
    • Handle: RePEc:eee:stapro:v:159:y:2020:i:c:s0167715219303384
    DOI: 10.1016/j.spl.2019.108692
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    1. Kim-Hung Li & Tai-Shing Lau & Chongqi Zhang, 2005. "A note on D-optimal designs for models with and without an intercept," Statistical Papers, Springer, vol. 46(3), pages 451-458, July.
    2. Zhang, Chongqi & Wong, Weng Kee, 2013. "Optimal designs for mixture models with amount constraints," Statistics & Probability Letters, Elsevier, vol. 83(1), pages 196-202.
    3. Dette, Holger & Bretz, Frank & Pepelyshev, Andrey & Pinheiro, José, 2008. "Optimal Designs for Dose-Finding Studies," Journal of the American Statistical Association, American Statistical Association, vol. 103(483), pages 1225-1237.
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