On some partially balanced fractional \(2^{m_ 1+m_ 2}\) factorial designs of resolution VI (Q578828)

Under the assumption that the four-factor and higher-order interactions are to be negligible, this paper investigates a partially balanced fractional \(2^{m_ 1+m_ 2}\) factorial design derived from a partially balanced array such that the general mean and all main effects can be individually estimated and that some linear combinations of each set of the two-factor interactions and each set of the three-factor ones are also estimable, where \(m_ k\geq 4\) for \(k=1,2\).