Abstract

HOOKS, TISHA; MARX, DAVID; KACHMAN, STEPHEN  and  PEDERSEN, JEFFREY. Optimality Criteria for Models with Random Effects. Rev.Colomb.Estad. [online]. 2009, vol.32, n.1, pp.17-31. ISSN 0120-1751.

In the context of linear models, an optimality criterion is developed for models that include random effects. Traditional information-based criteria are premised on all model effects being regarded as fixed. When treatments and/or nuisance parameters are assumed to be random effects, an appropriate optimality criterion can be developed under the same conditions. This paper introduces such a criterion, and this criterion also allows for the inclusion of fixed and/or random nuisance parameters in the model and for the presence of a general covariance structure. Also, a general formula is presented for which all previously published optimality criteria are special cases.

Keywords : Optimal design; Information matrix; Nuisance parameter; Covariance structure; Mixed model.

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