Bringing together both new and old results, Theory of Factorial Design: Single- and Multi-Stratum Experiments provides a rigorous, systematic, and up-to-date treatment of the theoretical aspects of factorial design. To prepare readers for a general theory, the author first presents a unified treatment of several simple designs, including completely randomized designs, block designs, and row-column designs. As such, the book is accessible to readers with minimal exposure to experimental design. With exercises and numerous examples, it is suitable as a reference for researchers and as a textbook for advanced graduate students. In addition to traditional topics and a thorough discussion of the popular minimum aberration criterion, the book covers many topics and new results not found in existing books. These include results on the structures of two-level resolution IV designs, methods for constructing such designs beyond the familiar foldover method, the extension of minimum aberration to nonregular designs, the equivalence of generalized minimum aberration and minimum moment aberration, a Bayesian approach, and some results on nonregular designs. The book also presents a theory that provides a unifying framework for the design and analysis of factorial experiments with multiple strata (error terms) arising from complicated structures of the experimental units. This theory can be systematically applied to various structures of experimental units instead of treating each on a case-by-case basis.

The last twenty years have witnessed a significant growth of interest in optimal factorial designs, under possible model uncertainty, via the minimum aberration and related criteria. This book gives, for the first time in book form, a comprehensive and up-to-date account of this modern theory. Many major classes of designs are covered in the book. While maintaining a high level of mathematical rigor, it also provides extensive design tables for research and practical purposes. Apart from being useful to researchers and practitioners, the book can form the core of a graduate level course in experimental design.

Combinatorial Mathematics, Optimal Designs, and Their Applications

Contributions to Iowa State University and Beyond; Design and analysis of experiments; Linear and non-linear models; Statistical and population genetics.

Unlike other books on the modeling and analysis of experimental data, Design and Analysis of Experiments: Classical and Regression Approaches with SAS not only covers classical experimental design theory, it also explores regression approaches. Capitalizing on the availability of cutting-edge software, the author uses both manual meth

With Response Surface Methods - Theory, Applications, and Optimization Techniques, one can unlock the full potential of experimental designs. This comprehensive guide delves into the complexity of Response Surface Methodology (RSM), offering both foundational theories and cutting-edge applications. This book provides novices and experienced practitioners with the tools and knowledge required to optimize processes, enhance quality, and drive innovation. Through a mix of theoretical insights and practical case studies, one addresses how RSM can be applied across a diverse set of fields, including engineering, chemistry, biology, health care, and more. Inside, readers will find fundamental concepts for understanding the core principles of RSM, experimental designs, applications, optimization techniques, advanced topics, and an extensive bibliography. This book is an essential resource for researchers, engineers, and scientists aiming to leverage RSM for superior outcomes. With broad contributions from leading experts in the field, Response Surface Methods - Theory, Applications, and Optimization Techniques stands as a definitive guide for mastering the art and science of experimental optimization. Optimize your work, streamline your processes, and achieve outstanding results with this essential volume.

Bridge the gap between research and practice with DePoy and Gitlin's Introduction to Research: Understanding and Applying Multiple Strategies, 4th Edition. This completely updated, user-friendly text helps you better understand not only the research process, but also research designs and their applications to the real world of clinical practice. Covering multiple research strategies (including both qualitative and quantitative research), it gives you a balanced approach to various research traditions, addressing emerging key issues in today's health care environment. Offers a balanced approach to various research methods and multiple research strategies, including qualitative, quantitative, naturalistic and experimental-type, and more. Presents complex information in a clear, highly readable, and easy-to-understand manner. Keeps information relevant to today's health care environment with real-world "snapshots" and a final Stories from the Field chapter. Includes detailed discussions of qualitative and quantitative methodologies, a unique and balanced focus that makes this text more comprehensive than others in its field. Covers experimental-type, naturalistic, and mixed method design strategies, improving your ability to compare, contrast, and integrate different methods. Evolve online resources include statistics math tips to accompany Chapter 19, crossword puzzles, useful weblinks, and sample forms. Reflects recent changes in the field, including new material on preparing poster presentations, community and participatory research, translation issues, and advanced scale development, giving you the tools you need to devise successful research studies. Includes expanded evidence-based material and occupational therapy-specific information, discussing the methods used in each study.

Why is this Book a Useful Supplement for Your Statistics Course? Most core statistics texts cover subjects like analysis of variance and regression, but not in much detail. This book, as part of our Series in Research Methods and Statistics, provides you with the flexibility to cover ANOVA more thoroughly, but without financially overburdening your students.

Project Description: Theories are part and parcel of every human activity that involves knowing about the world and our place in it. In all areas of inquiry from the most commonplace to the most scholarly and esoteric, theorizing plays a fundamental role. The SAGE Encyclopedia of Theory in Science, Technology, Engineering, and Mathematics focuses on the ways that various STEM disciplines theorize about their subject matter. How is thinking about the subject organized? What methods are used in moving a novice in given field into the position of a competent student of that subject? Within the pages of this landmark work, readers will learn about the complex decisions that are made when framing a theory, what goes into constructing a powerful theory, why some theories change or fail, how STEM theories reflect socio-historical moments in time and how – at their best – they form the foundations for exploring and unlocking the mysteries of the world around us. Featuring more than 200 authoritative articles written by experts in their respective fields, the encyclopedia includes a Reader’s Guide that organizes entries by broad themes; lists of Further Readings and cross-references that conclude each article; and a Resource Guide listing classic books in the field, leading journals, associations, and key websites.