A Combinatorial Search Technique for Constructing Optimal Designs for Biased Models

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


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.

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DOI: http://dx.doi.org/10.5539/jmr.v2n4p125

Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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