An Examination of Response-Surface Methodologies for Uncertainty Analysis in Assessment Models

Darryl J. Downing · Robert H. Gardner · F.O. Hoffman

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Probabilistic and Robust Engineering Design Radioactive contamination and transfer Optimal Experimental Design Methods

Abstract

Two techniques of uncertainty analysis were applied to a mathematical model that estimates the dose-equivalent to man from the concentration of radioactivity in air, water, and food. The response-surface method involved screening of the model to determine the important parameters, development of the response-surface equation, calculating the moments using the response-surface model, and fitting a Pearson or Johnson distribution using the calculated moments. The second method sampled model inputs by Latin hypercube methods and iteratively simulated the model to obtain an empirical estimation of the cdf. Comparison of the two methods indicates that it is often difftcult to ascertain the adequacy or reliability of the response-surface method. The empirical method is simpler to implement and, because all model inputs are included in the analysis, it is also a more reliable estimator of the cumulative distribution function of the model output than the response-surface method.

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2000A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code 1946THE DESIGN OF OPTIMUM MULTIFACTORIAL EXPERIMENTS 1996Response Surface Methodology 1982A distribution-free approach to inducing rank correlation among input variables 1980Small sample sensitivity analysis techniques for computer models.with an application to risk assessment 1961The 2k—pFractional Factorial Designs 1961The 2 k-p Fractional Factorial Designs Part I 1966Inverse Polynomials, a Useful Group of Multi-Factor Response Functions

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1997Sensitivity analysis and related analyses: A review of some statistical techniques 2007Response surface methodology for constrained simulation optimization: An overview 1995Evaluating prediction uncertainty 1999A new methodology for the estimation of total uncertainty in computational simulation 2010Polynomial Regression Approaches Using Derivative Information for Uncertainty Quantification

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