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Activity Number: 354 - Experimental Design and Reliability
Type: Contributed
Date/Time: Thursday, August 12, 2021 : 10:00 AM to 11:50 AM
Sponsor: Section on Physical and Engineering Sciences
Abstract #319110
Title: A Minimum Aberration Type Criterion for Selecting Space-Filling Designs
Author(s): Ye Tian* and Hongquan Xu
Companies: University of California, Los Angeles and University of California, Los Angeles
Keywords: Computer experiment; generalized minimum aberration; space-filling hierarchy principle; space-filling pattern; strong orthogonal array

Space-filling designs are widely used in computer experiments. Inspired by the stratified orthogonality of strong orthogonal arrays, we propose a minimum aberration type criterion for assessing the space-filling properties of designs based on design stratification properties on various grids. A space-filling hierarchy principle is proposed as a basic assumption of the criterion. The new criterion provides a systematic way of classifying and ranking space-filling designs including various types of strong orthogonal arrays and Latin hypercube designs. Theoretical results and examples are presented to show that strong orthogonal arrays of maximum strength are favorable under the proposed criterion. For strong orthogonal arrays with the same strength, the space-filling criterion can further rank them based on their space-filling patterns.

Authors who are presenting talks have a * after their name.

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