Chipman, H., 1998, "Handling Uncertainty in Analysis of Robust Design Experiments," Journal of Quality Technology, 30, 11-17.

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A Cautious Approach to Robust Design with Model Uncertainty - Daniel Apley And (2002)   (Correct)

....x settings, with the objective of developing a robust design method that is itself robust to model estimation errors. In spite of the large amount of research in the area of robust design, there has been relatively little work on how to consider model uncertainty. Notable exceptions are [9] and [10]. 9] focuses primarily on model parameter uncertainty and discusses a graphical approach in which the mean and variance responses are plotted as functions of x, while simultaneously displaying a confidence region for the x settings that truly minimize Vare, w(y ) These truly optimal x settings ....

....region for the x settings that truly minimize Vare, w(y ) These truly optimal x settings are a function of the unknown, true parameters, so that the confidence region is with respect to parameter uncertainty. The approach in this paper is more closely aligned with the Bayesian approach of [10], in which the posterior (given the experimental data from which the model is estimated) probabilities for models of various structure and the posterior distribution of their parameters were considered. As shown in [10] and [11] and discussed in Section 2, straightforward expressions for the ....

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Chipman, H., 1998, "Handling Uncertainty in Analysis of Robust Design Experiments," Journal of Quality Technology, 30, 11-17.

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