Design and Modeling for Computer Experiments

Design and Modeling for Computer Experiments

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ISBN 9781584885467
Cat# C5467
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ISBN 9781420034899
Cat# CE5467
 

Features

  • Blends a modern, sound statistical approach with extensive practical engineering applications
  • Presents numerous examples that clarify the methods and their implementation
  • Presents the most useful design and modeling methods, including some original contributions from the authors
  • Covers uniform design, measures of uniformity, and their algebraic approaches
  • Discusses special techniques for model interpretation such as ANOVA and the Fourier Amplitude Sensitivity Test
  • Summary

    Computer simulations based on mathematical models have become ubiquitous across the engineering disciplines and throughout the physical sciences. Successful use of a simulation model, however, requires careful interrogation of the model through systematic computer experiments. While specific theoretical/mathematical examinations of computer experiment design are available, those interested in applying proposed methodologies need a practical presentation and straightforward guidance on analyzing and interpreting experiment results.

    Written by authors with strong academic reputations and real-world practical experience, Design and Modeling for Computer Experiments is exactly the kind of treatment you need. The authors blend a sound, modern statistical approach with extensive engineering applications and clearly delineate the steps required to successfully model a problem and provide an analysis that will help find the solution. Part I introduces the design and modeling of computer experiments and the basic concepts used throughout the book. Part II focuses on the design of computer experiments. The authors present the most popular space-filling designs - like Latin hypercube sampling and its modifications and uniform design - including their definitions, properties, construction and related generating algorithms. Part III discusses the modeling of data from computer experiments. Here the authors present various modeling techniques and discuss model interpretation, including sensitivity analysis. An appendix reviews the statistics and mathematics concepts needed, and numerous examples clarify the techniques and their implementation.

    The complexity of real physical systems means that there is usually no simple analytic formula that sufficiently describes the phenomena. Useful both as a textbook and professional reference, this book presents the techniques you need to design and model computer experiments for practical problem solving.

    Table of Contents

    PART I AN OVERVIEW

    INTRODUCTION
    Experiments and Their Statistical Designs
    Some Concepts in Experimental Design
    Computer Experiments
    Examples of Computer Experiments
    Space-Filling Designs
    Modeling Techniques
    Sensitivity Analysis
    Strategies for Computer Experiments and An Illustration Case
    Study
    Remarks on Computer Experiments
    Guidance of Reading This Book

    PART II DESIGNS FOR COMPUTER EXPERIMENTS

    Latin Hypercube Sampling and its Modifications
    Uniform Experimental Design
    Optimization in Construction of Designs for Computer Experiments
    PART III MODELING FOR COMPUTER EXPERIMENTS
    METAMODELING
    Model Interpretation
    Functional Response
    APPENDIX
    Abbreviation
    References
    Index
    Author Index

    Editorial Reviews

    ". . . very well-organized text . . . makes a very valuable contribution to the field. I highly recommend it for anyone trying to learn design and modeling techniques for computer experiments. In particular, it will be a useful professional reference for scientists and engineers in practicing computer experiments, a comprehensive resource book for statisticians interested in developing new techniques for designing and modeling computation experiments, and an excellent book for undergraduate and graduate students. The authors’ careful and thorough presentation style makes the book a very enjoyable read."

    – Hao Helen Zhang, North Carolina State University, in JASA, December 2008

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