A CATALOG OF 2-LEVEL AND 3-LEVEL FRACTIONAL FACTORIAL-DESIGNS WITH SMALL RUNS

Fractional factorial (FF) designs with minimum aberration are often re garded as the best designs and are commonly used in practice. There ar e, however, situations in which other designs can meet practical needs better. A catalogue of designs would make it easy to search for 'best ' designs according to various criteria. By exploring the algebraic st ructure of the FF designs, we propose an algorithm for constructing co mplete sets Of FF designs. A collection of FF designs with 16, 27, 32 and 64 runs is given.