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Generalized Wordtype Pattern for Nonregular Factorial Designs with Multiple Groups of Factors

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Abstract

This paper introduces the generalized wordtype pattern of a nonregular fractional factorial design and considers its connection with the distance distribution. Based on the corresponding relationship between a fractional factorial design and a code, we develop a consulting design theory for fractional factorial designs with two groups of factors. It works for regular and nonregular designs and covers the previous results as special cases. As an illustration, it is further applied to the selection of optimal two-level single arrays derived from Hadamard Matrices.

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Authors and Affiliations

  1. LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, China

    Ming-Yao Ai & Shu-Yuan He

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  1. Ming-Yao Ai
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  2. Shu-Yuan He
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Correspondence to Ming-Yao Ai.

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Ai, MY., He, SY. Generalized Wordtype Pattern for Nonregular Factorial Designs with Multiple Groups of Factors. Metrika 64, 95–108 (2006). https://doi.org/10.1007/s00184-006-0037-z

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  • DOI: https://doi.org/10.1007/s00184-006-0037-z

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