Change-Point Analysis in Nonstationary Stochastic Models

Change-Point Analysis in Nonstationary Stochastic Models
Author: Boris Brodsky
Publisher: CRC Press
Total Pages: 286
Release: 2016-12-12
Genre: Mathematics
ISBN: 1315350955

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This book covers the development of methods for detection and estimation of changes in complex systems. These systems are generally described by nonstationary stochastic models, which comprise both static and dynamic regimes, linear and nonlinear dynamics, and constant and time-variant structures of such systems. It covers both retrospective and sequential problems, particularly theoretical methods of optimal detection. Such methods are constructed and their characteristics are analyzed both theoretically and experimentally. Suitable for researchers working in change-point analysis and stochastic modelling, the book includes theoretical details combined with computer simulations and practical applications. Its rigorous approach will be appreciated by those looking to delve into the details of the methods, as well as those looking to apply them.

Sequential Change Detection and Hypothesis Testing

Sequential Change Detection and Hypothesis Testing
Author: Alexander Tartakovsky
Publisher: CRC Press
Total Pages: 299
Release: 2019-12-31
Genre: Mathematics
ISBN: 0429531710

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Statistical methods for sequential hypothesis testing and changepoint detection have applications across many fields, including quality control, biomedical engineering, communication networks, econometrics, image processing, security, etc. This book presents an overview of methodology in these related areas, providing a synthesis of research from the last few decades. The methods are illustrated through real data examples, and software is referenced where possible. The emphasis is on providing all the theoretical details in a unified framework, with pointers to new research directions.

Higher-Order Growth Curves and Mixture Modeling with Mplus

Higher-Order Growth Curves and Mixture Modeling with Mplus
Author: Kandauda A.S. Wickrama
Publisher: Routledge
Total Pages: 346
Release: 2021-11-24
Genre: Psychology
ISBN: 1000465802

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This practical introduction to second-order and growth mixture models using Mplus introduces simple and complex techniques through incremental steps. The authors extend latent growth curves to second-order growth curve and mixture models and then combine the two using normal and non-normal (e.g., categorical) data. To maximize understanding, each model is presented with basic structural equations, figures with associated syntax that highlight what the statistics mean, Mplus applications, and an interpretation of results. Examples from a variety of disciplines demonstrate the use of the models and exercises allow readers to test their understanding of the techniques. A comprehensive introduction to confirmatory factor analysis, latent growth curve modeling, and growth mixture modeling is provided so the book can be used by readers of various skill levels. The book’s datasets are available on the web. New to this edition: * Two new chapters providing a stepwise introduction and practical guide to the application of second-order growth curves and mixture models with categorical outcomes using the Mplus program. Complete with exercises, answer keys, and downloadable data files. * Updated illustrative examples using Mplus 8.0 include conceptual figures, Mplus program syntax, and an interpretation of results to show readers how to carry out the analyses with actual data. This text is ideal for use in graduate courses or workshops on advanced structural equation, multilevel, longitudinal or latent variable modeling, latent growth curve and mixture modeling, factor analysis, multivariate statistics, or advanced quantitative techniques (methods) across the social and behavioral sciences.

Higher-Order Growth Curves and Mixture Modeling with Mplus

Higher-Order Growth Curves and Mixture Modeling with Mplus
Author: Kandauda A.S. Wickrama
Publisher: Routledge
Total Pages: 345
Release: 2016-04-14
Genre: Psychology
ISBN: 1317283929

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This practical introduction to second-order and growth mixture models using Mplus introduces simple and complex techniques through incremental steps. The authors extend latent growth curves to second-order growth curve and mixture models and then combine the two. To maximize understanding, each model is presented with basic structural equations, figures with associated syntax that highlight what the statistics mean, Mplus applications, and an interpretation of results. Examples from a variety of disciplines demonstrate the use of the models and exercises allow readers to test their understanding of the techniques. A comprehensive introduction to confirmatory factor analysis, latent growth curve modeling, and growth mixture modeling is provided so the book can be used by readers of various skill levels. The book’s datasets are available on the web. Highlights include: -Illustrative examples using Mplus 7.4 include conceptual figures, Mplus program syntax, and an interpretation of results to show readers how to carry out the analyses with actual data. -Exercises with an answer key allow readers to practice the skills they learn. -Applications to a variety of disciplines appeal to those in the behavioral, social, political, educational, occupational, business, and health sciences. -Data files for all the illustrative examples and exercises at www.routledge.com/9781138925151 allow readers to test their understanding of the concepts. -Point to Remember boxes aid in reader comprehension or provide in-depth discussions of key statistical or theoretical concepts. Part 1 introduces basic structural equation modeling (SEM) as well as first- and second-order growth curve modeling. The book opens with the basic concepts from SEM, possible extensions of conventional growth curve models, and the data and measures used throughout the book. The subsequent chapters in part 1 explain the extensions. Chapter 2 introduces conventional modeling of multidimensional panel data, including confirmatory factor analysis (CFA) and growth curve modeling, and its limitations. The logical and theoretical extension of a CFA to a second-order growth curve, known as curve-of-factors model (CFM), are explained in Chapter 3. Chapter 4 illustrates the estimation and interpretation of unconditional and conditional CFMs. Chapter 5 presents the logical and theoretical extension of a parallel process model to a second-order growth curve, known as factor-of-curves model (FCM). Chapter 6 illustrates the estimation and interpretation of unconditional and conditional FCMs. Part 2 reviews growth mixture modeling including unconditional growth mixture modeling (Ch. 7) and conditional growth mixture models (Ch. 8). How to extend second-order growth curves (curve-of-factors and factor-of-curves models) to growth mixture models is highlighted in Chapter 9. Ideal as a supplement for use in graduate courses on (advanced) structural equation, multilevel, longitudinal, or latent variable modeling, latent growth curve and mixture modeling, factor analysis, multivariate statistics, or advanced quantitative techniques (methods) taught in psychology, human development and family studies, business, education, health, and social sciences, this book’s practical approach also appeals to researchers. Prerequisites include a basic knowledge of intermediate statistics and structural equation modeling.

Models for Discrete Longitudinal Data

Models for Discrete Longitudinal Data
Author: Geert Molenberghs
Publisher: Springer Science & Business Media
Total Pages: 720
Release: 2006-08-30
Genre: Mathematics
ISBN: 9780387251448

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The linear mixed model has become the main parametric tool for the analysis of continuous longitudinal data, as the authors discussed in their 2000 book. Without putting too much emphasis on software, the book shows how the different approaches can be implemented within the SAS software package. The authors received the American Statistical Association's Excellence in Continuing Education Award based on short courses on longitudinal and incomplete data at the Joint Statistical Meetings of 2002 and 2004.

Handbook on the Temporal Dynamics of Organizational Behavior

Handbook on the Temporal Dynamics of Organizational Behavior
Author: Yannick Griep
Publisher: Edward Elgar Publishing
Total Pages: 480
Release: 2020-05-29
Genre: Business & Economics
ISBN: 1788974387

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Handbook on the Temporal Dynamics of Organizational Behavior is designed to help scholars begin to address the temporal shortcomings in the extant organizational behavior literature. The handbook provides conceptual and methodological reasons to study organizational behavior from a dynamic perspective and offers new conceptual and theoretical insights on some of the most popular organizational behavior topics. Unlike many other handbooks, this one provides methodological and analytical tools, including syntax and example data files, to help researchers tackle dynamic research questions effectively.

Modeling of Combustion Systems

Modeling of Combustion Systems
Author: Joseph Colannino
Publisher: CRC Press
Total Pages: 675
Release: 2006-03-24
Genre: Science
ISBN: 1420005030

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Increasing competitive pressure for improved quality and efficiency on one hand and tightening emissions and operating requirements on the other leave the modern process engineer squeezed in the middle. While effective modeling can help balance these demands, the current literature offers overly theoretical treatments on modeling that do not transl