Constructing c-optimal designs for polynomial regression with no intercept

Abstract

The paper is devoted to the problem of constructing c-optimal design for polynomial regression with no intercept. A special case of c = f '(z) is considered (i. e., the vector of derivatives of regression functions at some point z is selected as the vector c). A brief review of the analytical results are available in the literature is given. An effective numerical method for constructing f '(z)-optimal designs is proposed in those cases when an analytical solution cannot be provided.