A Combinatorial Search Technique for Constructing Optimal Designs for Biased Models


  •  Akpan S. S.    
  •  Udoh M. E    
  •  Nduka E. C.    

Abstract

A new algorithm has been proposed to locate the global minimum of the alias matrix for a biased response function defined
in a set of distinct support points. The search begins by classifying all the support points in the experimental region of
interest into groups. Then starting from an arbitrary set of N support points, the algorithm obtains an N-point optimal
design by systematically adding and dropping support points from the various groups in such a way as to continuously
reduce the determinant of the alias matrix of the design at each step of the sequence. Numerical demonstrations confirm
the effectiveness of this algorithm.


This work is licensed under a Creative Commons Attribution 4.0 License.