OPTIMAL DESIGN WITH CONSTRAINT SUPPORT

Ramón ARDANUY1

Jesús LOPEZ-FIDALGO[1]

§    ABSTRACT: In this paper we try finding the best design for experiments which have constraints in its support. We study the case in which either we have some observations in some points, or it is necessary take same in them. We establish a homeomorphism between the space of these designs and the space of all designs. In this way we conclude the similarity with the general case. Finally we establish one algorithm for the calculation of the optimal design with constraint support.

§    KEYWORDS: Criterion function; design space; gradient; homeomorphism; information matrix; optimal experiment design

§    AMS subject classification : 62k05.

 



[1] Departamento de Matemática Pura y Aplicada, Universidad de Salamanca, Plaza de la Merced, nº 1- 37008 Salamanca – Spain.