Minimum aberration blocked designs with multiple block variables

Shengli Zhao and Qianqian Zhao ()
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Shengli Zhao: Qufu Normal University
Qianqian Zhao: Qufu Normal University

Metrika: International Journal for Theoretical and Applied Statistics, 2021, vol. 84, issue 2, No 1, 140 pages

Abstract: Abstract The concept of minimum aberration (MA) is a well-accepted criterion for selecting good fractional factorial designs, in both unblocked and blocked designs with a single block variable. This paper extends the concept to blocked designs with multiple block variables and considers the construction of MA blocked designs with multiple block variables with respect to two wordlength patterns. By using a finite projective geometric approach, we obtain identities that govern the relationship between the blocking wordlength patterns of a general blocked design and a relatively small blocked design with the same block factors. Based on these identities, we establish the rules for finding MA designs with multiple block variables in terms of the relatively small blocked designs. Some MA blocked designs are tabulated.

Keywords: Minimum aberration; Blocked designs; Multiple block variables; 62K15; 62K05 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s00184-020-00761-7

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