2-level Fractional Factorial Designs which are the Union of Non Trivial Regular Designs
Each non regular fraction of a 2-level factorial design is a union of points, each of them being trivially a regular fraction. In order to find non-trivial decompositions of non regular fractions into regular fractions, in the first part of the paper we derive a condition for the inclusion of a regular fraction in a generic fraction. We use polynomial algebra arguments introduced by the authors and Maria Piera Rogantin (JSPI, 2000). The practical interest of the decomposition and its computational feasibility are discussed in the second part of the paper.
AMS Subject Classification62K15
Keywords2-level factorial design Plackett-Burman design Algebraic statistics Indicator polynomial
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