Statistical isomorphism of three-level factional factorial designs

Tsai, P. W., Gilmour, S. G. and Mead, R. (2006) Statistical isomorphism of three-level factional factorial designs. Utilitas Mathematica, 70. pp. 3-9. ISSN 0315-3681

Abstract/Summary

From a statistician's standpoint, the interesting kind of isomorphism for fractional factorial designs depends on the statistical application. Combinatorially isomorphic fractional factorial designs may have different statistical properties when factors are quantitative. This idea is illustrated by using Latin squares of order 3 to obtain fractions of the 3(3) factorial. design in 18 runs.