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Optimality of Some Class of Incomplete Block Designs
Author(s) -
Kozłowska Maria
Publication year - 1999
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/(sici)1521-4036(199907)41:4<427::aid-bimj427>3.0.co;2-a
Subject(s) - block (permutation group theory) , class (philosophy) , mathematics , optimal design , block design , mathematical optimization , optimality criterion , property (philosophy) , arithmetic , computer science , combinatorics , statistics , artificial intelligence , philosophy , epistemology
A class of incomplete block designs called C ‐design, was considered by C aliński (1971), S aha (1976), C eranka (1983) and C eranka , K ozłowska (1983, 1984). In this paper we extend the theory of block designs having the C ‐property. We consider optimality of C ‐designs with respect to any criterion of a described form. D as and K ageyama (1991) considered a class of E ‐optimal proper efficiency balanced designs (strictly speaking, D as and K ageyama considered E R ‐optimality of some class of block designs). Hence we consider E R , A R , D R optimality of C ‐designs.