An Algorithmic Construction of Four-Level Response Surface Designs

Christos Koukouvinos (1) , Kalliopi Mylona (1) , Dimitris E Simos (1) , Anna Skountzou (1)

1 NTUA - National Technical University of Athens [Athens]

Response surface methodology is widely used for developing, improving and optimizing processes in various fields. In this paper we present a method for constructing four-level design matrices in order to explore and optimize response surfaces where the predictor variables are each at four equally spaced levels, by utilizing a genetic algorithm. The produced designs achieve both properties of near-rotatability and estimation efficiency.

Mots clés: Physical Sciences

Christos Koukouvinos, Kalliopi Mylona, Dimitris E Simos, Anna Skountzou. An Algorithmic Construction of Four-Level Response Surface Designs. Communications in Statistics - Simulation and Computation, 2009, 38 (10), pp.2152-2160. ⟨10.1080/03610910903259634⟩. ⟨hal-00524863⟩