Deciphering All Those Minimum Aberration Criteria for Experimental Designs

The minimum aberration is an efficient criterion to evaluate fractional factorial designs. The concept of minimum aberration was first proposed by Fries and Hunter ( 1980 ) for regular two-level designs. Since then, increasing numbers of statisticians and quality engineers have been involved in exte...

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Bibliographic Details
Published inQuality engineering Vol. 21; no. 4; pp. 432 - 445
Main Authors Guo, Yong, Simpson, James R., Pignatiello, Joseph J.
Format Journal Article
LanguageEnglish
Published Milwaukee Taylor & Francis Group 01.10.2009
Taylor & Francis Ltd
Subjects
Criteria
Design of experiments
experimental designs
Factorial experiments
minimum aberration criterion
mixed-level designs
multilevel designs
nonregular designs
Quality control
Studies
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Summary:The minimum aberration is an efficient criterion to evaluate fractional factorial designs. The concept of minimum aberration was first proposed by Fries and Hunter ( 1980 ) for regular two-level designs. Since then, increasing numbers of statisticians and quality engineers have been involved in extending minimum aberration criterion into wider applications such as two-level nonregular, multilevel, and mixed-level fractional-factorial designs. In the past decade, many minimum aberration criteria definitions have been developed. However, those useful criteria have not been widely recognized and used by practitioners for the real-world problems. Via examples, this article comprehensively reviews the minimum aberration criteria definitions regarding their advantages, limitations, drawbacks, and relationships.
ISSN:0898-2112
1532-4222
DOI:10.1080/08982110903185918