A Class of Three-Level Designs for Definitive Screening in the Presence of Second-Order Effects

• Autores: Bradley Jones, Christopher J. Nachtsheim
• Localización: Journal of quality technology: A quarterly journal of methods applications and related topics, ISSN 0022-4065, Vol. 43, Nº. 1, 2011, págs. 1-15
• Idioma: inglés
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• Resumen

  • Screening designs help assess the relative impact of a large number of factors. Experimenters often prefer quantitative factors to have three levels rather than two, but common screening designs use only two factors. This article proposes a new class of three-level designs that is unbiased by second order effects, require only one more than twice as many runs as factors and avoid confounding any pair of second order effects. The new class of designs also allows for efficient estimation of the full quadratic model for any three factors if six or more factors exist, potentially rendering followup experiments unnecessary. The article provides an algorithm for use in design construction.