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- Title
Theory of J‐characteristics for fractional factorial designs and projection justification of minimum G2‐aberration.
- Authors
BOXIN TANG
- Abstract
Deng & Tang (1999) introduced the generalised resolution and minimum G‐aberration criteria for assessing nonregular fractional factorials. In Tang & Deng (1999), a relaxed variant of minimum G‐aberration, called minimum G2‐aberration, is proposed and studied. These criteria are defined using a set of J values, called J‐characteristics. In this paper, we show that a factorial design is uniquely determined by its J‐characteristics just as a regular factorial design is uniquely determined by its defining relation. The theorem is given through an explicit formula that relates the set of design points to that of J‐characteristics. Through this formula, projection justification of minimum G2‐aberration is established.
- Subjects
HADAMARD matrices; FACTORIAL experiment designs; FREE resolutions (Algebra); NUMBER theory; FACTORIALS
- Publication
Biometrika, 2001, Vol 88, Issue 2, p401
- ISSN
0006-3444
- Publication type
Article
- DOI
10.1093/biomet/88.2.401