EMSS 2011 Proceeding

On the Use of Minimum-Bias Computer Experimental Designs

Authors:   Husam Hamad

Abstract

Computer experimental designs are used to generate data in metamodeling of multiresponse engineering systems. Metamodels, which are also called surrogate models, offer more efficient prediction of system responses but add errors when used as surrogates for the simulators. Error sizes depend on computer experimental designs. Only bias errors are incurred in deterministic computer experiments; however, the majority of experiments reported in the literature are not optimized for minimum bias. Box and Draper?the pioneers of the response surface methodology? originated the work on minimum bias designs in the late 1950's. Space-filling designs such as the Latin hypercubes are mainly in current use; sometimes even in response surface models. This work is a practical study via a number of analytical and electronic circuit examples on the use of minimum bias designs for response surface metamodels. Some minimum bias designs in hypercuboidal spaces are also introduced.

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