Abstract

Plackett-Burman designs and three quarter fractional factorial designs are both well established in the statistical literature yet have never been combined and studied. Plackett-Burman designs are often nonregular and are thus subject to complex aliasing. However, Plackett-Burman designs have the advantage of run-size efficiency (over the usual 2 factorials) and taking three quarters of a Plackett-Burman design further improves this benefit. By considering projections of these designs, we constructed a catalog of designs of resolution V and ranked by D-efficiency. This thesis is dedicated to my friends and family, new and old. For my parents, Bolt, Beau, Roy a.k.a. Re a.k.a. Tha Royal Bandit and everyone in QA who changed my entire perspective for the better.

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