AN EXPERIMENTAL STRATEGY FOR FRACTIONATING 3³ AND 3⁴ FACTORIAL EXPERIMENTS

Chukwunonso Emmanuel Ozoemena, Philip Hackney, Martin Birkett, David Bell

Abstract: In the design of statistical experiments, situations may arise when resource constraints hinder the use of factorial designs for process improvement. This paper explores how 9, 18 and 27-run orthogonal arrays compare against each other and against a proposed experimental plan referred to as a 'Segmented Fractional Plan' when used to fractionate 3³ and 3⁴ factorial experiments. Based on the analysis of 8 responses from 6 factorial experiments, it was observed that to identify the process setting that produces the desired product quality, with a reduced number of experimental runs, the segmented fractional plan can perform as well or better than some orthogonal arrays thus, providing an option for fractionating 33 and 3⁴ factorial experiments.

Keywords: Three-level fractional factorial designs, three-level orthogonal arrays, design of experiments, process improvement, quality improvement

DOI: 10.24874/IJQR13.03-01

Recieved: 15.08.2018  Accepted: 25.03.2019  UDC: 0005.591.61

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