Statistical isomorphism of three-level factional factorial designsTsai, 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 Full text not archived in this repository. It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. Abstract/SummaryFrom 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.
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