We consider a fractional 3m factorial design for the second-order model derived from a simple array (SA), where m ≥ 4. In this article, we give a necessary and sufficient condition for an SA to be a balanced second-order design for 3m factorials. Such a design is characterized by the suffixes of the index of an SA.
AMS Subject Classification
BSO design Factorial effect MDR algebra Quadratic equation Row rank SA Second-order model
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