Download or read book Evaluating Experimental Designs for Fitting Response Surfaces of Deterministic Models written by Bryan K. Ishihara and published by . This book was released on 1985 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis evaluates several bias minimizing and variance minimizing experimental designs in terms of their effectiveness and efficiency in constructing response equations for a deterministic, nuclear exchange problem. The criteria which is used to evaluate these designs includes: 1) number of required design points; 2) number of terms in the response equation; 3) accuracy of fit of the response equation; 4) orthogonality of the design; and 5) rotatability of the design. In addition, the response surface equations are evaluated in terms of their predictive power and their explanatory power. The predictive power addresses the equation's ability to adequately estimate the true surface and to accurately predict a future response for a given set of inputs. The explanatory power addresses the equation's ability to present a response equation which is simple to interpret so that the true surface can be easily evaluated and the results can be easily explained. Keywords: Response surface methodology; Experimental design; Deterministic models.
Download or read book Evaluating Experimental Designs for Fitting Response Surfaces of Deterministic Models written by Bryan K. Ishihara (CAPT, USAF.) and published by . This book was released on 1985 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Response Surfaces Designs and Analyses written by Andre I. Khuri and published by Routledge. This book was released on 2018-12-18 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Response Surfaces: Designs and Analyses; Second Edition presents techniques for designing experiments that yield adequate and reliable measurements of one or several responses of interest, fitting and testing the suitability of empirical models used for acquiring information from the experiments, and for utilizing the experimental results to make decisions concerning the system under investigation. This edition contains chapters on response surface models with block effects and on Taguchi's robust parameter design, additional details on transformation of response variable, more material on modified ridge analysis, and new design criteria, including rotatability for multiresponse experiments. It also presents an innovative technique for displaying correlation among several response. Numerical examples throughout the book plus exercises--with worked solutions to selected problems--complement the text.
Download or read book Response Surfaces written by André I. Khuri and published by . This book was released on 1987 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Evaluation and Construction of Optimal Experimental Designs for Fitting Response Surface Models written by Myrta Mireya Rodríguez Sifuentes and published by . This book was released on 2008 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Response Surface Methodology written by Raymond H. Myers and published by Wiley-Interscience. This book was released on 1995-09-12 with total page 734 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary objetive of response surface methodology in to aid the statistician and other uers of statistics in applying response surface procedures to appropriate problems in many technical fields. Although methods are emphasized in the boock, a certain amount of theory is presented so that a reader with sufficient baclground in mathematics, especially in the algeba of matrices, can obtain an expourse to the theoretical development. While response surface techniques are widely used, it seems that a need existes for an exposition which contains a considerable amount of the basic material under a single cover. At the time it is felt hist book may create a continued awareness of the basic techniques amog the potential users.
Download or read book Response Surface Methodology written by Raymond H. Myers and published by John Wiley & Sons. This book was released on 2016-01-04 with total page 854 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the Third Edition: “This new third edition has been substantially rewritten and updated with new topics and material, new examples and exercises, and to more fully illustrate modern applications of RSM.” - Zentralblatt Math Featuring a substantial revision, the Fourth Edition of Response Surface Methodology: Process and Product Optimization Using Designed Experiments presents updated coverage on the underlying theory and applications of response surface methodology (RSM). Providing the assumptions and conditions necessary to successfully apply RSM in modern applications, the new edition covers classical and modern response surface designs in order to present a clear connection between the designs and analyses in RSM. With multiple revised sections with new topics and expanded coverage, Response Surface Methodology: Process and Product Optimization Using Designed Experiments, Fourth Edition includes: Many updates on topics such as optimal designs, optimization techniques, robust parameter design, methods for design evaluation, computer-generated designs, multiple response optimization, and non-normal responses Additional coverage on topics such as experiments with computer models, definitive screening designs, and data measured with error Expanded integration of examples and experiments, which present up-to-date software applications, such as JMP®, SAS, and Design-Expert®, throughout An extensive references section to help readers stay up-to-date with leading research in the field of RSM An ideal textbook for upper-undergraduate and graduate-level courses in statistics, engineering, and chemical/physical sciences, Response Surface Methodology: Process and Product Optimization Using Designed Experiments, Fourth Edition is also a useful reference for applied statisticians and engineers in disciplines such as quality, process, and chemistry.
Download or read book Quality Improvement with Design of Experiments written by I.N. Vuchkov and published by Springer Science & Business Media. This book was released on 2001-11-30 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Residualplots 74 Normaland half-normal plots 77 2. 3. 10. TRANSFORMATIONS OF VARIABLES 80 2. 3. 11. WEIGHTED LEAST SQUARES 82 2. 4. Bibliography 84 Appendix A. 2. 1. Basic equation ofthe analysis ofvariance 84 Appendix A. 2. 2. Derivation of the simplified formulae (2. 1 0) and (2. 11) 85 Appendix A. 2. 3. Basic properties ofleast squares estimates 86 Appendix A. 2. 4. Sums ofsquares for tests for lack offit 88 Appendix A. 2. 5. Properties ofthe residuals 90 3. DESIGN OF REGRESSION EXPERIMENTS 96 3. 1. Introduction 96 3. 2. Variance-optimality of response surface designs 98 3. 3. Two Ievel full factorial designs 106 3. 3. 1. DEFINITIONS AND CONSTRUCTION 106 3. 3. 2. PROPERTIES OF TWO LEVEL FULL FACTORIAL DESIGNS 109 3. 3. 3. REGRESSION ANALYSIS OF DAT A OBT AlNED THROUGH TWO LEVEL FULL F ACTORIAL DESIGNS 113 Parameter estimation 113 Effects of factors and interactions 116 Statistical analysis of individual effects and test for lack of fit 118 3. 4. Two Ievel fractional factorial designs 123 3. 4. 1. CONSTRUCTION OF FRACTIONAL F ACTORIAL DESIGNS 123 3. 4. 2. FITTING EQUATIONS TO DATA OBTAlNED BY FRACTIONAL F ACTORIAL DESIGNS 130 3. 5. Bloclung 133 3. 6. Steepest ascent 135 3. 7. Second order designs 142 3. 7. 1. INTRODUCTION 142 3. 7. 2. COMPOSITE DESIGNS 144 Rotatable central composite designs 145 D-optimal composite designs 146 Hartley' s designs 146 3. 7. 3.
Download or read book Air University Abstracts of Research Reports written by and published by . This book was released on 1986 with total page 932 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Model Oriented Design of Experiments written by Valerii V. Fedorov and published by Springer Science & Business Media. This book was released on 1997-06-20 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here, the authors explain the basic ideas so as to generate interest in modern problems of experimental design. The topics discussed include designs for inference based on nonlinear models, designs for models with random parameters and stochastic processes, designs for model discrimination and incorrectly specified (contaminated) models, as well as examples of designs in functional spaces. Since the authors avoid technical details, the book assumes only a moderate background in calculus, matrix algebra, and statistics. However, at many places, hints are given as to how readers may enhance and adopt the basic ideas for advanced problems or applications. This allows the book to be used for courses at different levels, as well as serving as a useful reference for graduate students and researchers in statistics and engineering.
Download or read book How to Apply Response Surface Methodology written by John A. Cornell and published by . This book was released on 1984 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Experimental Design for Formulation written by Wendell F. Smith and published by SIAM. This book was released on 2005-04-01 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gender-Structured Population Modeling: Mathematical Methods, Numerics, and Simulations gives a unified presentation of and mathematical framework for modeling population growth by couple formation.
Download or read book The Design and Analysis of Computer Experiments written by Thomas J. Santner and published by Springer. This book was released on 2019-01-08 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Emerging Methods for Multidisciplinary Optimization written by Jan Blachut and published by Springer Science & Business Media. This book was released on 2001-06-19 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides an up-to-date overview of major advances, emerging trends, and projected industrial applications in the field of multidisciplinary optimization. It concentrates on the current status of the field, exposes commonalities, innovative, promising, and speculative methods. This book provides a view of today’s multidisciplinary optimization environment through a balenced theoretical and practical treatment. The contributors are the foremost authorities in each area of specialisation.
Download or read book Engineering Design Reliability Handbook written by Efstratios Nikolaidis and published by CRC Press. This book was released on 2004-12-22 with total page 1216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Researchers in the engineering industry and academia are making important advances on reliability-based design and modeling of uncertainty when data is limited. Non deterministic approaches have enabled industries to save billions by reducing design and warranty costs and by improving quality. Considering the lack of comprehensive and defini
Download or read book Proceedings of the Conference on the Design of Experiments in Army Research Development and Testing written by and published by . This book was released on 1978 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Response Surfaces Designs and Analyses written by Andre I. Khuri and published by Routledge. This book was released on 2018-12-18 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Response Surfaces: Designs and Analyses; Second Edition presents techniques for designing experiments that yield adequate and reliable measurements of one or several responses of interest, fitting and testing the suitability of empirical models used for acquiring information from the experiments, and for utilizing the experimental results to make decisions concerning the system under investigation. This edition contains chapters on response surface models with block effects and on Taguchi's robust parameter design, additional details on transformation of response variable, more material on modified ridge analysis, and new design criteria, including rotatability for multiresponse experiments. It also presents an innovative technique for displaying correlation among several response. Numerical examples throughout the book plus exercises--with worked solutions to selected problems--complement the text.
