Optimal designs for comparing curves

K. Schorning

We consider the optimal design problem for a comparison of two regression curves, which is used to establish the similarity between the dose response relationships of two groups. An optimal pair of designs minimizes the width of the confidence band for the difference between the two regression functions. Optimal design theory will be developed for this non standard design problem. The results will be illustrated in an example modeling dose response relationships. It will be shown that the use of the optimal designs instead of commonly used ”non-optimal” designs yields a reduction of the width of the confidence band by more than 50%.

Palabras clave: similarity of curves, confidence band, optimal design

M05.1 Sesión Hispano-Alemana: Diseño Óptimo de Experimentos
6 de septiembre de 2016  11:00
0.02 - Aula de proyectos 1

G. Sánchez León, J. López Fidalgo

C. Neumann

M. Prus