Indicator function and complex coding for mixed fractional factorial designs

In a general fractional factorial design, the n levels of a factor are coded by the nth roots of the unity. This device allows a full generalization to mixed-level designs of the theory of the polynomial indicator function which has already been introduced for two-level designs in a joint paper with...

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Bibliographic Details
Published inJournal of statistical planning and inference Vol. 138; no. 3; pp. 787 - 802
Main Authors Pistone, Giovanni, Rogantin, Maria-Piera
Format Journal Article
LanguageEnglish
Published Lausanne Elsevier B.V 01.03.2008
New York,NY Elsevier Science
Amsterdam
Subjects
Algebraic statistics
Combinatorics
Combinatorics. Ordered structures
Complex coding
Designs and configurations
Exact sciences and technology
Experimental design
General topics
Mathematics
Mixed-level designs
Orthogonal array
Probability and statistics
Regular fraction
Sciences and techniques of general use
Statistics
Mixed-level designs
Algebraic statistics
Complex coding
Orthogonal array
Regular fraction
Complex function
Polynomial
Statistical decision
Polynomial function
Statistical method
Fractional design
Coding
Experimental design
Factorial design
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Summary:In a general fractional factorial design, the n levels of a factor are coded by the nth roots of the unity. This device allows a full generalization to mixed-level designs of the theory of the polynomial indicator function which has already been introduced for two-level designs in a joint paper with Fontana. The properties of orthogonal arrays and regular fractions are discussed.
ISSN:0378-3758
1873-1171
DOI:10.1016/j.jspi.2007.02.007