A comparison of two-level designs to estimate all main effects and two-factor interactions. Issue Volume 28:Issues 4(2016) (1st October 2016)

• Record Type: Journal Article
• Authors: Jones, Bradley; Schoen, Eric D.; Montgomery, Douglas C.
• Is Part Of: Quality engineering. Volume 28:Issues 4(2016)
• Page Start: 369
• Page End: 380
• Publication Date: 2016-10-01
• Subjects: A-optimal design -- column balance -- D-optimal design -- orthogonal array -- strength 2; Quality control -- Periodicals; Production management -- Quality control -- Periodicals; 658.5
• DOI: 10.1080/08982112.2015.1136829
• Languages: English
• ISSNs: 0898-2112

Abstract

ABSTRACT: We compare cost-efficient alternatives for the full factorial 2 4 design, the regular 2 5-1 fractional factorial design, and the regular 2 6-1 fractional factorial design that can fit the model consisting of all the main effects as well as all the two-factor interactions. For 4 and 5 factors we examine orthogonal arrays with 12 and 20 runs, respectively. For 6 factors we consider orthogonal arrays with 24 as well as 28 runs. We consult complete catalogs of two-level orthogonal arrays to find the ones that provide the most efficient estimation of all the effects in the model. We compare these arrays with D-optimal designs found using a coordinate exchange algorithm. The D-optimal designs are always preferable to the most efficient orthogonal arrays for fitting the full model in all the factors.