Abstract
ABSTRACT: We compare cost-efficient alternatives for the full factorial 24 design, the regular 25-1 fractional factorial design, and the regular 26-1 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.
Original language | English (US) |
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Pages (from-to) | 369-380 |
Number of pages | 12 |
Journal | Quality Engineering |
Volume | 28 |
Issue number | 4 |
DOIs | |
State | Published - Oct 1 2016 |
Keywords
- A-optimal design
- D-optimal design
- column balance
- orthogonal array
- strength 2
ASJC Scopus subject areas
- Safety, Risk, Reliability and Quality
- Industrial and Manufacturing Engineering