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A SEQUENTIAL METHOD OF CONSTRUCTING OPTIMAL BLOCK DESIGNS
Author(s) -
Zergaw Getachew
Publication year - 1989
Publication title -
australian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 0004-9581
DOI - 10.1111/j.1467-842x.1989.tb00403.x
Subject(s) - block (permutation group theory) , algorithm , set (abstract data type) , computer science , optimal design , class (philosophy) , block design , mathematical optimization , mathematics , artificial intelligence , machine learning , combinatorics , programming language
Summary An algorithm for the construction of a wide class of block designs including Balanced Incomplete Blocks (BIB) is described. The algorithm which allows the experimenter to give weights for a set of treatment contrasts uses an initial starting design to generate an optimal block design sequentially. The performance of the algorithm is illustrated by examples, and designs constructed by the algorithm compare favourably with designs generated by other methods.