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BALANCED ARRAYS AND WEIGHING DESIGNS
Author(s) -
Saha G. M.,
KAGEYAMA SANPEI
Publication year - 1984
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.1984.tb01225.x
Subject(s) - block (permutation group theory) , construct (python library) , symbol (formal) , incidence (geometry) , balance (ability) , arithmetic , incidence matrix , mathematics , computer science , structural engineering , combinatorics , engineering , geometry , medicine , physical therapy , node (physics) , programming language
Summary Dey (19711, Saha (1975), Kageyama & Saha (1983) and others have shown how optimum chemical balance weighing designs can be constructed from the incidence matrices of balanced incomplete block (BIB) designs. In this paper, it is shown that weighing designs can be constructed from some suitably chosen two‐symbol balanced arrays of strength two, which need not always be incidence matrices of BIB designs. The findings lead us to construct new optimum chemical balance weighing designs from incidence matrices of BIB designs.