Generating and Assessing Exact G-Optimal Designs

• Autores: Myrta Rodríguez, Bradley Jones, Connie M. Borror, Douglas C. Montgomery
• Localización: Journal of quality technology: A quarterly journal of methods applications and related topics, ISSN 0022-4065, Vol. 42, Nº. 1, 2010, págs. 3-20
• Idioma: inglés
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• Resumen

  • A new algorithm is proposed for generating near G-optimal designs for second order models over cuboidal regions. Brent’s minimization algorithm is used with coordinate exchange to construct designs for two to five factors. A new graphical tool, the variance ratio fraction of design space (VRFDS) plot, is also proposed for comparison of the prediction variance of competing designs over a given region of interest. VRFDS plot comparisons between G-optimal designs and I-optimal designs show that G-optimal designs have a higher prediction variance, suggesting that for many response surface studies, G-optimal designs may not be the best choice.