The Design And Analysis Of Computer Experiments
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The Design And Analysis Of Computer Experiments
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Author : Thomas J. Santner
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
The Design And Analysis Of Computer Experiments written by Thomas J. Santner and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
In the past 15 to 20 years, the computer has become a popular tool for exploring the relationship between a measured response and factors thought to affect the response. In many cases, scientific theories exist that implicitly relate the response to the factors by means of systems of mathematical equations. There also exist numerical methods for accurately solving such equations and appropriate computer hardware and software to implement these methods. In many engineering applications, for example, the relationship is described by a dynamical system and the numerical method is a finite element code. In such situations, these numerical methods allow one to produce computer code that can generate the response corresponding to any given set of values of the factors. This allows one to conduct an "experiment" (called a "computer experiment") to explore the relationship between the response and the factors using the code. Indeed, in some cases computer experimentation is feasible when a properly designed physical experiment (the gold standard for establishing cause and effect) is impossible. For example, the number of input variables may be too large to consider performing a physical experiment or it may simply be economically prohibitive to run an experiment on the scale required to gather sufficient information to answer a particular research question. This book describes methods for designing and analyzing experiments conducted using computer code in lieu of a physical experiment. It discusses how to select the values of the factors at which to run the code (the design of the computer experiment) in light of the research objectives of the experimenter. It also provides techniques for analyzing the resulting data so as to achieve these research goals.
Design And Modeling For Computer Experiments
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Author : Kai-Tai Fang
language : en
Publisher: CRC Press
Release Date : 2005-10-14
Design And Modeling For Computer Experiments written by Kai-Tai Fang and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-10-14 with Mathematics categories.
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 experim
The Design And Analysis Of Computer Experiments
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Author : Thomas J. Santner
language : en
Publisher: Springer
Release Date : 2019-01-08
The Design And Analysis Of Computer Experiments written by Thomas J. Santner and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-08 with Mathematics categories.
This book describes methods for designing and analyzing experiments that are conducted using a computer code, a computer experiment, and, when possible, a physical experiment. Computer experiments continue to increase in popularity as surrogates for and adjuncts to physical experiments. Since the publication of the first edition, there have been many methodological advances and software developments to implement these new methodologies. The computer experiments literature has emphasized the construction of algorithms for various data analysis tasks (design construction, prediction, sensitivity analysis, calibration among others), and the development of web-based repositories of designs for immediate application. While it is written at a level that is accessible to readers with Masters-level training in Statistics, the book is written in sufficient detail to be useful for practitioners and researchers. New to this revised and expanded edition: • An expanded presentation of basic material on computer experiments and Gaussian processes with additional simulations and examples • A new comparison of plug-in prediction methodologies for real-valued simulator output • An enlarged discussion of space-filling designs including Latin Hypercube designs (LHDs), near-orthogonal designs, and nonrectangular regions • A chapter length description of process-based designs for optimization, to improve good overall fit, quantile estimation, and Pareto optimization • A new chapter describing graphical and numerical sensitivity analysis tools • Substantial new material on calibration-based prediction and inference for calibration parameters • Lists of software that can be used to fit models discussed in the book to aid practitioners
The Design And Analysis Of Computer Experiments
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Author : Thomas J. Santner
language : en
Publisher:
Release Date : 2018
The Design And Analysis Of Computer Experiments written by Thomas J. Santner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Experimental design categories.
This book describes methods for designing and analyzing experiments that are conducted using a computer code, a computer experiment, and, when possible, a physical experiment. Computer experiments continue to increase in popularity as surrogates for and adjuncts to physical experiments. Since the publication of the first edition, there have been many methodological advances and software developments to implement these new methodologies. The computer experiments literature has emphasized the construction of algorithms for various data analysis tasks (design construction, prediction, sensitivity analysis, calibration among others), and the development of web-based repositories of designs for immediate application. While it is written at a level that is accessible to readers with Masters-level training in Statistics, the book is written in sufficient detail to be useful for practitioners and researchers. New to this revised and expanded edition: An expanded presentation of basic material on computer experiments and Gaussian processes with additional simulations and examples; A new comparison of plug-in prediction methodologies for real-valued simulator output ; An enlarged discussion of space-filling designs including Latin Hypercube designs (LHDs), near-orthogonal designs, and nonrectangular regions; A chapter length description of process-based designs for optimization, to improve good overall fit, quantile estimation, and Pareto optimization; A new chapter describing graphical and numerical sensitivity analysis tools; Substantial new material on calibration-based prediction and inference for calibration parameters; Lists of software that can be used to fit models discussed in the book to aid practitioners.
The Design And Analysis Of Computer Experiments
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Author : Thomas J. Santner
language : en
Publisher:
Release Date : 2014-01-15
The Design And Analysis Of Computer Experiments written by Thomas J. Santner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Design And Analysis Of Experiments
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Author : Douglas C. Montgomery
language : en
Publisher: Wiley
Release Date : 2005
Design And Analysis Of Experiments written by Douglas C. Montgomery and has been published by Wiley this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Experimental design categories.
This bestselling professional reference has helped over 100,000 engineers and scientists with the success of their experiments. The new edition includes more software examples taken from the three most dominant programs in the field: Minitab, JMP, and SAS. Additional material has also been added in several chapters, including new developments in robust design and factorial designs. New examples and exercises are also presented to illustrate the use of designed experiments in service and transactional organizations. Engineers will be able to apply this information to improve the quality and efficiency of working systems.
The Design And Analysis Of Computer Experiments
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Author : Robert John Buck
language : en
Publisher:
Release Date : 1993
The Design And Analysis Of Computer Experiments written by Robert John Buck and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.
Handbook Of Design And Analysis Of Experiments
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Author : Angela Dean
language : en
Publisher: CRC Press
Release Date : 2015-06-26
Handbook Of Design And Analysis Of Experiments written by Angela Dean and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-26 with Mathematics categories.
This carefully edited collection synthesizes the state of the art in the theory and applications of designed experiments and their analyses. It provides a detailed overview of the tools required for the optimal design of experiments and their analyses. The handbook covers many recent advances in the field, including designs for nonlinear models and algorithms applicable to a wide variety of design problems. It also explores the extensive use of experimental designs in marketing, the pharmaceutical industry, engineering and other areas.
Design And Analysis Of Experiments With Sas
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Author : John Lawson
language : en
Publisher: CRC Press
Release Date : 2010-05-04
Design And Analysis Of Experiments With Sas written by John Lawson and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-04 with Mathematics categories.
A culmination of the author's many years of consulting and teaching, Design and Analysis of Experiments with SAS provides practical guidance on the computer analysis of experimental data. It connects the objectives of research to the type of experimental design required, describes the actual process of creating the design and collecting the data, s
Optimal Design Of Experiments
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Author : Peter Goos
language : en
Publisher: John Wiley & Sons
Release Date : 2011-06-28
Optimal Design Of Experiments written by Peter Goos and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-28 with Science categories.
"This is an engaging and informative book on the modern practice of experimental design. The authors' writing style is entertaining, the consulting dialogs are extremely enjoyable, and the technical material is presented brilliantly but not overwhelmingly. The book is a joy to read. Everyone who practices or teaches DOE should read this book." - Douglas C. Montgomery, Regents Professor, Department of Industrial Engineering, Arizona State University "It's been said: 'Design for the experiment, don't experiment for the design.' This book ably demonstrates this notion by showing how tailor-made, optimal designs can be effectively employed to meet a client's actual needs. It should be required reading for anyone interested in using the design of experiments in industrial settings." —Christopher J. Nachtsheim, Frank A Donaldson Chair in Operations Management, Carlson School of Management, University of Minnesota This book demonstrates the utility of the computer-aided optimal design approach using real industrial examples. These examples address questions such as the following: How can I do screening inexpensively if I have dozens of factors to investigate? What can I do if I have day-to-day variability and I can only perform 3 runs a day? How can I do RSM cost effectively if I have categorical factors? How can I design and analyze experiments when there is a factor that can only be changed a few times over the study? How can I include both ingredients in a mixture and processing factors in the same study? How can I design an experiment if there are many factor combinations that are impossible to run? How can I make sure that a time trend due to warming up of equipment does not affect the conclusions from a study? How can I take into account batch information in when designing experiments involving multiple batches? How can I add runs to a botched experiment to resolve ambiguities? While answering these questions the book also shows how to evaluate and compare designs. This allows researchers to make sensible trade-offs between the cost of experimentation and the amount of information they obtain.