Selecting a Best Two-Level 16-Run Screening Design from the Catalog of Nonisomorphic Regular and Nonregular Designs for Six to Eight Factors

    Authors

    L. Lu; M. E. Johnson;C. M. Anderson-Cook

    Comments

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    Abbreviated Journal Title

    Qual. Eng.

    Keywords

    alias patterns; design generators; desirability functions; nondominated; designs; Pareto front optimization; supersaturated; RESPONSE-SURFACE DESIGN; MULTIPLE CRITERIA; PARETO FRONTIER; OPTIMIZATION; Engineering, Industrial; Statistics & Probability

    Abstract

    When exploring first-order models including two-factor interactions for six to eight factors using a 16-run design, there are many possible model choices. Building on the Johnson and Jones (2010) catalog of the nonisomorphic regular and nonregular design alternatives, we summarize which of these design options are most promising based on two common design criteria. The Pareto fronts based on the criteria E(s(2)) and tr(AA') suggest that only a handful of the possible designs should be considered further, and the best design depends on the relative emphasis given each of the two criteria. This article considers each case of six, seven, and eight factors for 16-run two-level designs and provides numerical and graphical comparisons between the alternatives to highlight the merits of the leading candidates.

    Journal Title

    Quality Engineering

    Volume

    26

    Issue/Number

    3

    Publication Date

    1-1-2014

    Document Type

    Article

    Language

    English

    First Page

    269

    Last Page

    284

    WOS Identifier

    WOS:000337580200002

    ISSN

    0898-2112

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