6533b838fe1ef96bd12a50f7

RESEARCH PRODUCT

Balanced Asymmetrical Nearly Orthogonal Designs for first and second order effect estimation

Alberto LombardoStefano Barone

subject

Statistics and ProbabilityEstimationMathematical optimizationOptimality criterionSettore SECS-S/02 - Statistica Per La Ricerca Sperimentale E TecnologicaOrder effectStatistics Probability and UncertaintyHeuristic procedureBalancing asymmetrical (mixed-level) designs nearly orthogonal arrays optimality two- and three-level designsMathematics

description

Abstract A method for constructing asymmetrical (mixed-level) designs, satisfying the balancing and interaction estimability requirements with a number of runs as small as possible, is proposed in this paper. The method, based on a heuristic procedure, uses a new optimality criterion formulated here. The proposed method demonstrates efficiency in terms of searching time and optimality of the attained designs. A complete collection of such asymmetrical designs with two- and three-level factors is available. A technological application is also presented.

https://doi.org/10.1080/02664760500448917