Penalized optimal designs for dose-finding

Luc Pronzato (1)

1 Laboratoire d'Informatique, Signaux, et Systèmes de Sophia-Antipolis (I3S) / Equipe SYSTEMES

Optimal design under a cost constraint is considered, with a scalar coefficient setting the compromise between information and cost. It is shown that for suitable cost functions, by increasing the value of the coefficient one can force the support points of an optimal design measure to concentrate around points of minimum cost. An example of adaptive design in a dose-finding problem with a bivariate binary model is presented, showing the effectiveness of the approach.

Mots clés: optimal experimental design; penalized experimental design; compound optimal design; constrained optimal design; dose finding; bivariate binary model

Domaines: Statistiques [math.ST]; Théorie [stat.TH]

Luc Pronzato. Penalized optimal designs for dose-finding. Journal of Statistical Planning and Inference, 2010, 140 (1), pp.283-296. ⟨10.1016/j.jspi.2009.07.012⟩. ⟨hal-00416014⟩