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A method for constructing supersaturated designs and its Es 2 optimality
Author(s) -
Tang Boxin,
Wu C. F. J.
Publication year - 1997
Publication title -
canadian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.804
H-Index - 51
eISSN - 1708-945X
pISSN - 0319-5724
DOI - 10.2307/3315731
Subject(s) - upper and lower bounds , pairwise comparison , supersaturation , class (philosophy) , value (mathematics) , mathematics , combinatorics , optimal design , discrete mathematics , computer science , statistics , mathematical analysis , physics , thermodynamics , artificial intelligence
A lower bound for the Es 2 value of an arbitrary supersaturated design is derived. A general method for constructing supersaturated designs is proposed and shown to produce designs with n runs and m = k ( n — 1) factors that achieve the lower bound for Es 2 and are thus optimal with respect to the Es 2 criterion. Within the class of designs given by the construction method, further discrimination can be made by minimizing the pairwise correlations and using the generalized D and A criteria proposed by Wu (1993). Efficient designs of 12, 16, 20 and 24 runs are constructed by following this approach.