Standard response surface methodology employs a second order polynomial model to locate the stationary point of the true response function. To make Bayesian analysis more direct and simpler, we refer to an alternative and equivalent parametrization, which contains xi as parameter of interest. The marginal reference prior of is derived in its general form and particular cases are also given in detail, showing the Bayesian role of rotatability. (c) 2006 Elsevier B.V. All rights reserved.

A reference prior for the analysis of a response surface / Sambucini, Valeria. - In: JOURNAL OF STATISTICAL PLANNING AND INFERENCE. - ISSN 0378-3758. - 137:4(2007), pp. 1119-1128. [10.1016/j.jspi.2006.01.013]

A reference prior for the analysis of a response surface

SAMBUCINI, Valeria
2007

Abstract

Standard response surface methodology employs a second order polynomial model to locate the stationary point of the true response function. To make Bayesian analysis more direct and simpler, we refer to an alternative and equivalent parametrization, which contains xi as parameter of interest. The marginal reference prior of is derived in its general form and particular cases are also given in detail, showing the Bayesian role of rotatability. (c) 2006 Elsevier B.V. All rights reserved.
2007
bayesian analysis; central composite designs; factorial designs; reference priors; response surface methodology; rotatability
01 Pubblicazione su rivista::01a Articolo in rivista
A reference prior for the analysis of a response surface / Sambucini, Valeria. - In: JOURNAL OF STATISTICAL PLANNING AND INFERENCE. - ISSN 0378-3758. - 137:4(2007), pp. 1119-1128. [10.1016/j.jspi.2006.01.013]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/133455
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