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- W2007609526 abstract "We consider optimal designs for a class of symmetric models for binary data which includes the common probit and logit models. We show that for a large group of optimality criteria which includes the main ones in the literature (e.g. A-, D-, E-, F- and G-optimality) the optimal design for our class of models is a two-point design with support points symmetrically placed about the ED50 but with possibly unequal weighting. We demonstrate how one can further reduce the problem to a one-variable optimization by characterizing various of the common criteria. We also use the results to demonstrate major qualitative differences between the F - and c-optimal designs, two design criteria which have similar motivation. Dans cet article, nous considérons les schémas optimaux pour une classe de modèles symmétriques pour des données binaires incluant les modèles communs de probit et logit. Nous démontrons que, pour un grand groupe de critères d'optimalité incluant les principaux figurant dans la littérature (par exemple l'optimalité A-, D-, E-, F- et G), le schéma optimal pour notre classe de modèles est un schéma avec deux points où les points de support sont symmétriquement placés autour du ED50 mais avec une pondération possiblement inégale. Nous démontrons comment l'on peut réduire davantage le problème à une optimisation à une variable en caractérisant plusieurs des critères communs. Nous utilisons également les résultats atin de démontrer les différences qualitatives majeures entre les schéma F- et C-optimaux, deux critères partageant une motivation similaire." @default.
- W2007609526 created "2016-06-24" @default.
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- W2007609526 date "1997-06-01" @default.
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- W2007609526 title "Optimal designs for the logit and probit models for binary data" @default.
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- W2007609526 doi "https://doi.org/10.2307/3315730" @default.
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