Optimal partially balanced fractional 2m1+m2 factorial designs of resolution IV
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This paper investigates some partially balanced fractional 2m1+m2 factorial designs of resolution IV derived from partially balanced arrays, which permit estimation of the general mean, all main effects, all two-factor interactions within each set of themk factors (k=1, 2) and some linear combinations of the two-factor interactions between the sets of themk ones. In addition, optimal designs with respect to the generalized trace criterion defined by Shirakura (1976,Ann. Statist.,4, 723–735) are presented for each pair (m1,m2) with 2≦m1≦m2 andm1+m2≦6, and for values ofN (the number of observations) in a reasonable range.
Key wordsOptimal designs resolution partially balanced arrays
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