2003, Volume 65, Pt. 3, 641--648

The “Best” Of The Three Optimal (4 Times 4)/4 Semi-Latin Squares

By

POLY E. CHIGBU, University of Nigeria, Nsukka, Nigeria

 SUMMARY. Currently, there exist three optimal (4$\times$4)/4 semi-Latin squares for sixteen treatments in blocks of size four. Since these squares do not have the same concurrences, there is a need for distinguishing one square from the others and determining the most preferred square in a given context. This work ascertains the ``best" square by finding and comparing the variances of elementary contrasts of treatments for the squares.

AMS (1991) subject classification. 62K10, 05B15, 62K05.

Key words and phrases. Concurrences, Efficiency factors, Optimality, semi-Latin square.

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