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Optimum spacings of elementary treatment contrasts in symmetrical 2‐factor pa block designs
Author(s) -
Sia L. L.
Publication year - 1977
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 - 10.2307/3314782
Subject(s) - mathematics , block (permutation group theory) , group (periodic table) , factor (programming language) , combinatorics , computer science , physics , quantum mechanics , programming language
The concept of optimum spacing of an arbitrary group of treatments was introduced by Sinha and Sinha (1969) in a study of the relative efficiencies of a group of block designs. In this paper, the optimum spacings of elementary treatment contrasts in a 2‐factor symmetrical block design with Property A are studied using the A ‐optimality criterion. Conditions for optimum spacings are expressed in terms of the relative magnitudes of the efficiency factors.