The design of order-of-addition experiments. Issue 3 (3rd July 2019)

• Record Type: Journal Article
• Authors: Voelkel, Joseph G.
• Is Part Of: Journal of quality technology. Volume 51:Issue 3(2019)
• Page Start: 230
• Page End: 241
• Publication Date: 2019-07-03
• Subjects: D-efficiency -- experimental design -- minimum Chi square -- minimum moment aberration -- orthogonal array; Quality control -- Periodicals; Qualité -- Contrôle -- Périodiques; Quality control; Quality control; Periodicals; 620.0045
• DOI: 10.1080/00224065.2019.1569958
• Languages: English
• ISSNs: 0022-4065

Abstract

Abstract: I introduce systematic methods to create optimal designs for order-of-addition (OofA) experiments, those that study the order in which m components are applied—for example, the order in which chemicals are added to a reaction or layers are added to a film. Full designs require m ! runs, so I investigate design fractions. Balance criteria for creating such designs employ an extension of orthogonal arrays (OAs) to OofA–OAs. A connection is made between D -efficient and OofA–OA designs. Necessary conditions are found for the number of runs needed to create OofA–OAs of strengths 2 and 3. I create a number of new, optimal, designs: 12-run OofA–OAs in 4 and 5 components, 24-run OofA–OAs in 5 and 6 components, and near OofA–OAs in 7 components. I extend these designs to include (a) process factors and (b) the common case in which component orderings are restricted. I also suggest how such designs may be analyzed.