Optimal Designs for Estimation and Discrimination for

Optimal Designs for Estimation and Discrimination
for Nonlinear Mixed Models Effects
María Eugenia Castañeda López1,2,a , Víctor Ignacio López Ríos1,b
1
Escuela de Estadística, Facultad de Ciencias, Universidad Nacional de Colombia, Medellín, Colombia
Instituto de Matemáticas, Facultad de Ciencias Exactas y Naturales, Universidad de Antioquia, Medellín,
Colombia
2
Speaker: Víctor Ignacio López Ríos
Abstract: The purpose of this conference is to present a procedure for the constructing optimal designs for
simultaneous parameter estimation and model discrimination in the context of nonlinear mixed models
effects. The compound design criterion is considered. This design criterion is formed by maximizing a
weighted average which depends upon different Fisher information matrices. A numerical example shows the
properties of the procedure. The relationship with other design procedure for parameter estimation and
model discrimination is discussed.
Keywords: Nonlinear mixed models effects, optimal designs, compound optimality criteria, D-optimality.
aPh.
bPh.
D(c), e-mail: [email protected]
D. Associate Professor, e-mail: [email protected]