Response Surface Designs Robust against Nuisance Factors

Author:

Nguyen Nam-Ky,Phuong Vuong Mai,Pham Tung-Dinh

Abstract

This paper discusses an algorithmic approach to constructing trend-free and orthogonally-blocked response surface designs. The constructed designs have the main effects, 2-factor interactions and second-order effects being orthogonal or near-orthogonal to the nuisance factors such as the time-trend or the blocking factors. The paper also provides a catalogue of (near-) trend-free Box–Behnkens designs and orthogonally blocked Box–Behnkens designs arranged in rows and columns.

Publisher

IntechOpen

Reference16 articles.

1. Box, G.E.P., Hunter, J.S. & Hunter, W.G. (2005) Statistics for Experiments 2nd ed., New York: Wiley.

2. Box, G.E.P., & Behnken, D. (1960) Some new three level designs for the study of quantitative variables. Technometrics, 2, 455–475.

3. Box, G.E.P. & Hunter, J.S. (1957) Multi-factor experimental designs for exploring response surfaces, The Annals of Mathematical Statistics, 28, 159-241.

4. Khuri, A.I. & Cornell, J.A. (1996) Response Surfaces, Designs and Analyses. 2nd ed. (New York, Marcel Dekker).

5. Fischer, E. (1908) Über den Hadamardschen Determinantensatz. Archiv Der Mathematik und Physik, 13, 32-40.

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1. Perspective Chapter: Cyclic Generation of Box-Behnken Designs and New Second-Order Designs;Response Surface Methodology - Research Advances and Applications;2023-03-29

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