Designing The Perfect R Sum
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Optimal Design Of Experiments
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Author : Friedrich Pukelsheim
language : en
Publisher: SIAM
Release Date : 2006-04-01
Optimal Design Of Experiments written by Friedrich Pukelsheim and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-01 with Mathematics categories.
Optimal Design of Experiments offers a rare blend of linear algebra, convex analysis, and statistics. The optimal design for statistical experiments is first formulated as a concave matrix optimization problem. Using tools from convex analysis, the problem is solved generally for a wide class of optimality criteria such as D-, A-, or E-optimality. The book then offers a complementary approach that calls for the study of the symmetry properties of the design problem, exploiting such notions as matrix majorization and the Kiefer matrix ordering. The results are illustrated with optimal designs for polynomial fit models, Bayes designs, balanced incomplete block designs, exchangeable designs on the cube, rotatable designs on the sphere, and many other examples.
Advanced R
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Author : Hadley Wickham
language : en
Publisher: CRC Press
Release Date : 2015-09-15
Advanced R written by Hadley Wickham and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-15 with Mathematics categories.
An Essential Reference for Intermediate and Advanced R Programmers Advanced R presents useful tools and techniques for attacking many types of R programming problems, helping you avoid mistakes and dead ends. With more than ten years of experience programming in R, the author illustrates the elegance, beauty, and flexibility at the heart of R. The book develops the necessary skills to produce quality code that can be used in a variety of circumstances. You will learn: The fundamentals of R, including standard data types and functions Functional programming as a useful framework for solving wide classes of problems The positives and negatives of metaprogramming How to write fast, memory-efficient code This book not only helps current R users become R programmers but also shows existing programmers what’s special about R. Intermediate R programmers can dive deeper into R and learn new strategies for solving diverse problems while programmers from other languages can learn the details of R and understand why R works the way it does.
Design Process
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Author : Sangarappillai Sivaloganathan
language : en
Publisher: CRC Press
Release Date : 2024-09-30
Design Process written by Sangarappillai Sivaloganathan and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-30 with Technology & Engineering categories.
This book introduces the systematic design process for product and engineering design projects by adopting a design model and the use of several design methods. Starting with a product idea normally outlined by the senior management as a design brief, it guides to plan the design process, define the problem, generate and choose a near-optimal or optimal solution, and complete the embodiment, all under a systematic design process model. The main strength of this book is its provision of several worked examples in the use of several design methods at all stages of the design process. This book explains how to: Start with the design brief and define the problem by eliciting and refining stakeholder requirements. Establish the functional representation of the product as a function tree or function structure. Create conceptual solutions using 12 different conceptual design methods. Evaluate and prove that the proposed conceptual solutions are of high grade before choosing one for further development, using the decision matrix method and Pugh’s controlled convergence method. Use the embodiment design method by Pahl and Beitz to develop the embodiment design for the chosen concept. It is primarily written for senior undergraduate and graduate students in the fields of industrial engineering, production engineering, manufacturing engineering, mechanical engineering, and aerospace engineering. The e-book+ version of the book, Design Process: A Hands-on Approach, complements the other versions of the book. This ebook+ version provides extensive and elaborative details about the topic to improve the overall experience of the readers. The videos that are recorded and embedded in the appropriate sections of the book outline and explicate the key features of this book, which include an overview of this book and covering critical and advanced topics at the beginning of Chapter 1 to enrich the user experience.
Combinatorics Graph Theory And Computing
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Author : Sarah Heuss
language : en
Publisher: Springer Nature
Release Date : 2025-07-16
Combinatorics Graph Theory And Computing written by Sarah Heuss and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-16 with Mathematics categories.
This proceedings volume compiles selected, revised papers presented at the 54th Southeastern International Conference on Combinatorics, Graph Theory, and Computing (SEICCGTC 2023), which took place at Florida Atlantic University in Boca Raton, USA, from March 6th to 10th, 2023. The SEICCGTC is widely regarded as a trendsetter for other conferences worldwide. Many ideas and themes initially discussed here have subsequently been explored in other conferences and symposia. Since 1970, the conference has been held annually in Baton Rouge, Louisiana, and Boca Raton, Florida. Over the years, it has grown to become the primary annual conference in its fields, playing a crucial role in disseminating results and fostering collaborative work. This volume is tailored for the community of pure and applied mathematicians in academia, industry, and government, who work in combinatorics and graph theory, as well as related areas of computer science and the intersections among these fields.
Optimal Design For Nonlinear Response Models
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Author : Valerii V. Fedorov
language : en
Publisher: CRC Press
Release Date : 2013-07-15
Optimal Design For Nonlinear Response Models written by Valerii V. Fedorov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-15 with Mathematics categories.
Optimal Design for Nonlinear Response Models discusses the theory and applications of model-based experimental design with a strong emphasis on biopharmaceutical studies. The book draws on the authors’ many years of experience in academia and the pharmaceutical industry. While the focus is on nonlinear models, the book begins with an explanation of the key ideas, using linear models as examples. Applying the linearization in the parameter space, it then covers nonlinear models and locally optimal designs as well as minimax, optimal on average, and Bayesian designs. The authors also discuss adaptive designs, focusing on procedures with non-informative stopping. The common goals of experimental design—such as reducing costs, supporting efficient decision making, and gaining maximum information under various constraints—are often the same across diverse applied areas. Ethical and regulatory aspects play a much more prominent role in biological, medical, and pharmaceutical research. The authors address all of these issues through many examples in the book.
Design And Analysis Of Experiments
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Author : Douglas C. Montgomery
language : en
Publisher: John Wiley & Sons
Release Date : 2020-06-23
Design And Analysis Of Experiments written by Douglas C. Montgomery 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 2020-06-23 with Technology & Engineering categories.
Design and Analysis of Experiments provides a rigorous introduction to product and process design improvement through quality and performance optimization. Clear demonstration of widely practiced techniques and procedures allows readers to master fundamental concepts, develop design and analysis skills, and use experimental models and results in real-world applications. Detailed coverage of factorial and fractional factorial design, response surface techniques, regression analysis, biochemistry and biotechnology, single factor experiments, and other critical topics offer highly-relevant guidance through the complexities of the field. Stressing the importance of both conceptual knowledge and practical skills, this text adopts a balanced approach to theory and application. Extensive discussion of modern software tools integrate data from real-world studies, while examples illustrate the efficacy of designed experiments across industry lines, from service and transactional organizations to heavy industry and biotechnology. Broad in scope yet deep in detail, this text is both an essential student resource and an invaluable reference for professionals in engineering, science, manufacturing, statistics, and business management.
Moda 7 Advances In Model Oriented Design And Analysis
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Author : Alessandro Di Bucchianico
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Moda 7 Advances In Model Oriented Design And Analysis written by Alessandro Di Bucchianico 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 2012-12-06 with Mathematics categories.
The volume contains the proceedings of the 7th Workshop on Model-Oriented Design and Analysis which has had the purpose of bringing together leading researchers in Eastern and Western Europe for an in-depth discussion of the optimal design of experiments. The papers are representative of the latest developments concerning non-linear models, computational algorithms and important applications, especially to medical statistics.
Combinatorial Mathematics Optimal Designs And Their Applications
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Author :
language : en
Publisher: Elsevier
Release Date : 2011-08-26
Combinatorial Mathematics Optimal Designs And Their Applications written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-26 with Mathematics categories.
Combinatorial Mathematics, Optimal Designs, and Their Applications
Optimal Design And Related Areas In Optimization And Statistics
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Author : Luc Pronzato
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-07-25
Optimal Design And Related Areas In Optimization And Statistics written by Luc Pronzato 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 2010-07-25 with Mathematics categories.
The present volume is a collective monograph devoted to applications of the optimal design theory in optimization and statistics. The chapters re?ect the topics discussed at the workshop “W-Optimum Design and Related Statistical Issues” that took place in Juan-les-Pins, France, in May 2005. The title of the workshop was chosen as a light-hearted celebration of the work of Henry Wynn. It was supported by the Laboratoire I3S (CNRS/Universit ́ e de Nice, Sophia Antipolis), to which Henry is a frequent visitor. The topics covered partly re?ect the wide spectrum of Henry’s research - terests. Algorithms for constructing optimal designs are discussed in Chap. 1, where Henry’s contribution to the ?eld is acknowledged. Steepest-ascent - gorithms used to construct optimal designs are very much related to general gradientalgorithmsforconvexoptimization. Inthelasttenyears,asigni?cant part of Henry’s research was devoted to the study of the asymptotic prop- ties of such algorithms. This topic is covered by Chaps. 2 and 3. The work by Alessandra Giovagnoli concentrates on the use of majorization and stoch- tic ordering, and Chap. 4 is a hopeful renewal of their collaboration. One of Henry’s major recent interests is what is now called algebraic statistics, the application of computational commutative algebra to statistics, and he was partly responsible for introducing the experimental design sub-area, reviewed in Chap. 5. One other sub-area is the application to Bayesian networks and Chap. 6 covers this, with Chap. 7 being strongly related.
Uncertainty Quantification In Laminated Composites
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Author : Sudip Dey
language : en
Publisher: CRC Press
Release Date : 2018-09-19
Uncertainty Quantification In Laminated Composites written by Sudip Dey and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-19 with Mathematics categories.
Over the last few decades, uncertainty quantification in composite materials and structures has gained a lot of attention from the research community as a result of industrial requirements. This book presents computationally efficient uncertainty quantification schemes following meta-model-based approaches for stochasticity in material and geometric parameters of laminated composite structures. Several metamodels have been studied and comparative results have been presented for different static and dynamic responses. Results for sensitivity analyses are provided for a comprehensive coverage of the relative importance of different material and geometric parameters in the global structural responses.