Data Analytic Techniques for Dynamical Systems

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Author :
Publisher : Psychology Press
ISBN 13 : 1135611548
Total Pages : 293 pages
Book Rating : 4.1/5 (356 download)

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Book Synopsis Data Analytic Techniques for Dynamical Systems by : Steven M Boker

Download or read book Data Analytic Techniques for Dynamical Systems written by Steven M Boker and published by Psychology Press. This book was released on 2012-10-12 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: Each volume in the Notre Dame Series on Quantitative Methodology features leading methodologists and substantive experts who provide instruction on innovative techniques designed to enhance quantitative skills in a substantive area. This latest volume focuses on the methodological issues and analyses pertinent to understanding psychological data from a dynamical system perspective. Dynamical systems analysis (DSA) is increasingly used to demonstrate time-dependent variable change. It is used more and more to analyze a variety of psychological phenomena such as relationships, development and aging, emotional regulation, and perceptual processes. The book opens with the best occasions for using DSA methods. The final two chapters focus on the application of dynamical systems methods to problems in psychology such as substance use and gestural dynamics. In addition, it reviews how and when to use: time series models from a discrete time perspective stochastic differential equations in continuous time estimating continuous time differential equation models multilevel models of differential equations to estimate within-person dynamics and the corresponding population means new SEM models for dynamical systems data Data Analytic Techniques for Dynamical Systems is beneficial to advanced students and researchers in the areas of developmental psychology, family studies, language processes, cognitive neuroscience, social and personality psychology, medicine, and emotion. Due to the book’s instructive nature, it serves as an excellent text for advanced courses on this particular technique.

Data-Driven Science and Engineering

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Publisher : Cambridge University Press
ISBN 13 : 1009098489
Total Pages : 615 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Data-Driven Science and Engineering by : Steven L. Brunton

Download or read book Data-Driven Science and Engineering written by Steven L. Brunton and published by Cambridge University Press. This book was released on 2022-05-05 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook covering data-science and machine learning methods for modelling and control in engineering and science, with Python and MATLAB®.

Nonlinear Dynamical Systems Analysis for the Behavioral Sciences Using Real Data

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Author :
Publisher : CRC Press
ISBN 13 : 1439820023
Total Pages : 631 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Nonlinear Dynamical Systems Analysis for the Behavioral Sciences Using Real Data by : Stephen J. Guastello

Download or read book Nonlinear Dynamical Systems Analysis for the Behavioral Sciences Using Real Data written by Stephen J. Guastello and published by CRC Press. This book was released on 2016-04-19 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although its roots can be traced to the 19th century, progress in the study of nonlinear dynamical systems has taken off in the last 30 years. While pertinent source material exists, it is strewn about the literature in mathematics, physics, biology, economics, and psychology at varying levels of accessibility. A compendium research methods reflect

Data Analytic Techniques for Dynamical Systems

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Author :
Publisher : Psychology Press
ISBN 13 : 113561153X
Total Pages : 259 pages
Book Rating : 4.1/5 (356 download)

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Book Synopsis Data Analytic Techniques for Dynamical Systems by : Steven M Boker

Download or read book Data Analytic Techniques for Dynamical Systems written by Steven M Boker and published by Psychology Press. This book was released on 2012-10-12 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Each volume in the Notre Dame Series on Quantitative Methodology features leading methodologists and substantive experts who provide instruction on innovative techniques designed to enhance quantitative skills in a substantive area. This latest volume focuses on the methodological issues and analyses pertinent to understanding psychological data from a dynamical system perspective. Dynamical systems analysis (DSA) is increasingly used to demonstrate time-dependent variable change. It is used more and more to analyze a variety of psychological phenomena such as relationships, development and aging, emotional regulation, and perceptual processes. The book opens with the best occasions for using DSA methods. The final two chapters focus on the application of dynamical systems methods to problems in psychology such as substance use and gestural dynamics. In addition, it reviews how and when to use: time series models from a discrete time perspective stochastic differential equations in continuous time estimating continuous time differential equation models multilevel models of differential equations to estimate within-person dynamics and the corresponding population means new SEM models for dynamical systems data Data Analytic Techniques for Dynamical Systems is beneficial to advanced students and researchers in the areas of developmental psychology, family studies, language processes, cognitive neuroscience, social and personality psychology, medicine, and emotion. Due to the book’s instructive nature, it serves as an excellent text for advanced courses on this particular technique.

Dynamic Data Analysis

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Author :
Publisher : Springer
ISBN 13 : 1493971905
Total Pages : 230 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Dynamic Data Analysis by : James Ramsay

Download or read book Dynamic Data Analysis written by James Ramsay and published by Springer. This book was released on 2017-06-27 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text focuses on the use of smoothing methods for developing and estimating differential equations following recent developments in functional data analysis and building on techniques described in Ramsay and Silverman (2005) Functional Data Analysis. The central concept of a dynamical system as a buffer that translates sudden changes in input into smooth controlled output responses has led to applications of previously analyzed data, opening up entirely new opportunities for dynamical systems. The technical level has been kept low so that those with little or no exposure to differential equations as modeling objects can be brought into this data analysis landscape. There are already many texts on the mathematical properties of ordinary differential equations, or dynamic models, and there is a large literature distributed over many fields on models for real world processes consisting of differential equations. However, a researcher interested in fitting such a model to data, or a statistician interested in the properties of differential equations estimated from data will find rather less to work with. This book fills that gap.

Analysis and Data-Based Reconstruction of Complex Nonlinear Dynamical Systems

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Author :
Publisher : Springer
ISBN 13 : 3030184722
Total Pages : 280 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Analysis and Data-Based Reconstruction of Complex Nonlinear Dynamical Systems by : M. Reza Rahimi Tabar

Download or read book Analysis and Data-Based Reconstruction of Complex Nonlinear Dynamical Systems written by M. Reza Rahimi Tabar and published by Springer. This book was released on 2019-07-04 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on a central question in the field of complex systems: Given a fluctuating (in time or space), uni- or multi-variant sequentially measured set of experimental data (even noisy data), how should one analyse non-parametrically the data, assess underlying trends, uncover characteristics of the fluctuations (including diffusion and jump contributions), and construct a stochastic evolution equation? Here, the term "non-parametrically" exemplifies that all the functions and parameters of the constructed stochastic evolution equation can be determined directly from the measured data. The book provides an overview of methods that have been developed for the analysis of fluctuating time series and of spatially disordered structures. Thanks to its feasibility and simplicity, it has been successfully applied to fluctuating time series and spatially disordered structures of complex systems studied in scientific fields such as physics, astrophysics, meteorology, earth science, engineering, finance, medicine and the neurosciences, and has led to a number of important results. The book also includes the numerical and analytical approaches to the analyses of complex time series that are most common in the physical and natural sciences. Further, it is self-contained and readily accessible to students, scientists, and researchers who are familiar with traditional methods of mathematics, such as ordinary, and partial differential equations. The codes for analysing continuous time series are available in an R package developed by the research group Turbulence, Wind energy and Stochastic (TWiSt) at the Carl von Ossietzky University of Oldenburg under the supervision of Prof. Dr. Joachim Peinke. This package makes it possible to extract the (stochastic) evolution equation underlying a set of data or measurements.

Analytical Methods for Dynamic Modelers

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Author :
Publisher : MIT Press
ISBN 13 : 0262331438
Total Pages : 443 pages
Book Rating : 4.2/5 (623 download)

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Book Synopsis Analytical Methods for Dynamic Modelers by : Hazhir Rahmandad

Download or read book Analytical Methods for Dynamic Modelers written by Hazhir Rahmandad and published by MIT Press. This book was released on 2015-11-27 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: A user-friendly introduction to some of the most useful analytical tools for model building, estimation, and analysis, presenting key methods and examples. Simulation modeling is increasingly integrated into research and policy analysis of complex sociotechnical systems in a variety of domains. Model-based analysis and policy design inform a range of applications in fields from economics to engineering to health care. This book offers a hands-on introduction to key analytical methods for dynamic modeling. Bringing together tools and methodologies from fields as diverse as computational statistics, econometrics, and operations research in a single text, the book can be used for graduate-level courses and as a reference for dynamic modelers who want to expand their methodological toolbox. The focus is on quantitative techniques for use by dynamic modelers during model construction and analysis, and the material presented is accessible to readers with a background in college-level calculus and statistics. Each chapter describes a key method, presenting an introduction that emphasizes the basic intuition behind each method, tutorial style examples, references to key literature, and exercises. The chapter authors are all experts in the tools and methods they present. The book covers estimation of model parameters using quantitative data; understanding the links between model structure and its behavior; and decision support and optimization. An online appendix offers computer code for applications, models, and solutions to exercises. Contributors Wenyi An, Edward G. Anderson Jr., Yaman Barlas, Nishesh Chalise, Robert Eberlein, Hamed Ghoddusi, Winfried Grassmann, Peter S. Hovmand, Mohammad S. Jalali, Nitin Joglekar, David Keith, Juxin Liu, Erling Moxnes, Rogelio Oliva, Nathaniel D. Osgood, Hazhir Rahmandad, Raymond Spiteri, John Sterman, Jeroen Struben, Burcu Tan, Karen Yee, Gönenç Yücel

Stochastic Dynamical Systems

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 9780471188346
Total Pages : 558 pages
Book Rating : 4.1/5 (883 download)

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Book Synopsis Stochastic Dynamical Systems by : Josef Honerkamp

Download or read book Stochastic Dynamical Systems written by Josef Honerkamp and published by John Wiley & Sons. This book was released on 1996-12-17 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique volume introduces the reader to the mathematical language for complex systems and is ideal for students who are starting out in the study of stochastical dynamical systems. Unlike other books in the field it covers a broad array of stochastic and statistical methods.

Analytical Methods for Dynamic Modelers

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Author :
Publisher : MIT Press
ISBN 13 : 0262029499
Total Pages : 443 pages
Book Rating : 4.2/5 (62 download)

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Book Synopsis Analytical Methods for Dynamic Modelers by : Hazhir Rahmandad

Download or read book Analytical Methods for Dynamic Modelers written by Hazhir Rahmandad and published by MIT Press. This book was released on 2015-11-13 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: A user-friendly introduction to some of the most useful analytical tools for model building, estimation, and analysis, presenting key methods and examples. Simulation modeling is increasingly integrated into research and policy analysis of complex sociotechnical systems in a variety of domains. Model-based analysis and policy design inform a range of applications in fields from economics to engineering to health care. This book offers a hands-on introduction to key analytical methods for dynamic modeling. Bringing together tools and methodologies from fields as diverse as computational statistics, econometrics, and operations research in a single text, the book can be used for graduate-level courses and as a reference for dynamic modelers who want to expand their methodological toolbox. The focus is on quantitative techniques for use by dynamic modelers during model construction and analysis, and the material presented is accessible to readers with a background in college-level calculus and statistics. Each chapter describes a key method, presenting an introduction that emphasizes the basic intuition behind each method, tutorial style examples, references to key literature, and exercises. The chapter authors are all experts in the tools and methods they present. The book covers estimation of model parameters using quantitative data; understanding the links between model structure and its behavior; and decision support and optimization. An online appendix offers computer code for applications, models, and solutions to exercises. Contributors Wenyi An, Edward G. Anderson Jr., Yaman Barlas, Nishesh Chalise, Robert Eberlein, Hamed Ghoddusi, Winfried Grassmann, Peter S. Hovmand, Mohammad S. Jalali, Nitin Joglekar, David Keith, Juxin Liu, Erling Moxnes, Rogelio Oliva, Nathaniel D. Osgood, Hazhir Rahmandad, Raymond Spiteri, John Sterman, Jeroen Struben, Burcu Tan, Karen Yee, Gönenç Yücel

Handbook of Longitudinal Research

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Author :
Publisher : Elsevier
ISBN 13 : 9780080554228
Total Pages : 680 pages
Book Rating : 4.5/5 (542 download)

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Book Synopsis Handbook of Longitudinal Research by : Scott Menard

Download or read book Handbook of Longitudinal Research written by Scott Menard and published by Elsevier. This book was released on 2007-10-11 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt: Longitudinal research is a broad field in which substantial advances have been made over the past decade. Unlike many of the existing books that only address the analysis of information. The Handbook of Longitudinal Research covers design and measurement as well as the data analysis. Designed for use by a wide-ranging audience, this Handbook not only includes perspective on the methodological and data analysis problems in longitudinal research but it also includes contributors' data sets that enable readers who lack sophisticated statistics skills to move from theories about longitudinal data into practice. As the comprehensive reference, this Handbook has no direct competition as most books in this subject area are more narrowly specialized and are pitched at a high mathematical level. Contributors and subject areas are interdisciplinary to reach the broadest possible audience (i.e., psychology, epidemiology, and economics research fields) Summary material will be included for less sohisticated readers Extensive coverage is provided of traditional advanced topics

Numerical Continuation Methods for Dynamical Systems

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Publisher : Springer
ISBN 13 : 1402063563
Total Pages : 399 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Numerical Continuation Methods for Dynamical Systems by : Bernd Krauskopf

Download or read book Numerical Continuation Methods for Dynamical Systems written by Bernd Krauskopf and published by Springer. This book was released on 2007-11-06 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Path following in combination with boundary value problem solvers has emerged as a continuing and strong influence in the development of dynamical systems theory and its application. It is widely acknowledged that the software package AUTO - developed by Eusebius J. Doedel about thirty years ago and further expanded and developed ever since - plays a central role in the brief history of numerical continuation. This book has been compiled on the occasion of Sebius Doedel's 60th birthday. Bringing together for the first time a large amount of material in a single, accessible source, it is hoped that the book will become the natural entry point for researchers in diverse disciplines who wish to learn what numerical continuation techniques can achieve. The book opens with a foreword by Herbert B. Keller and lecture notes by Sebius Doedel himself that introduce the basic concepts of numerical bifurcation analysis. The other chapters by leading experts discuss continuation for various types of systems and objects and showcase examples of how numerical bifurcation analysis can be used in concrete applications. Topics that are treated include: interactive continuation tools, higher-dimensional continuation, the computation of invariant manifolds, and continuation techniques for slow-fast systems, for symmetric Hamiltonian systems, for spatially extended systems and for systems with delay. Three chapters review physical applications: the dynamics of a SQUID, global bifurcations in laser systems, and dynamics and bifurcations in electronic circuits.

Dynamical Systems and Numerical Analysis

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Publisher : Cambridge University Press
ISBN 13 : 9780521645638
Total Pages : 708 pages
Book Rating : 4.6/5 (456 download)

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Book Synopsis Dynamical Systems and Numerical Analysis by : Andrew Stuart

Download or read book Dynamical Systems and Numerical Analysis written by Andrew Stuart and published by Cambridge University Press. This book was released on 1998-11-28 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first three chapters contain the elements of the theory of dynamical systems and the numerical solution of initial-value problems. In the remaining chapters, numerical methods are formulated as dynamical systems and the convergence and stability properties of the methods are examined.

Dynamic Mode Decomposition

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Publisher : SIAM
ISBN 13 : 1611974496
Total Pages : 241 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Dynamic Mode Decomposition by : J. Nathan Kutz

Download or read book Dynamic Mode Decomposition written by J. Nathan Kutz and published by SIAM. This book was released on 2016-11-23 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Data-driven dynamical systems is a burgeoning field?it connects how measurements of nonlinear dynamical systems and/or complex systems can be used with well-established methods in dynamical systems theory. This is a critically important new direction because the governing equations of many problems under consideration by practitioners in various scientific fields are not typically known. Thus, using data alone to help derive, in an optimal sense, the best dynamical system representation of a given application allows for important new insights. The recently developed dynamic mode decomposition (DMD) is an innovative tool for integrating data with dynamical systems theory. The DMD has deep connections with traditional dynamical systems theory and many recent innovations in compressed sensing and machine learning. Dynamic Mode Decomposition: Data-Driven Modeling of Complex Systems, the first book to address the DMD algorithm, presents a pedagogical and comprehensive approach to all aspects of DMD currently developed or under development; blends theoretical development, example codes, and applications to showcase the theory and its many innovations and uses; highlights the numerous innovations around the DMD algorithm and demonstrates its efficacy using example problems from engineering and the physical and biological sciences; and provides extensive MATLAB code, data for intuitive examples of key methods, and graphical presentations.

Statistical Methods for Modeling Human Dynamics

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Author :
Publisher : Taylor & Francis
ISBN 13 : 1135262594
Total Pages : 445 pages
Book Rating : 4.1/5 (352 download)

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Book Synopsis Statistical Methods for Modeling Human Dynamics by : Sy-Miin Chow

Download or read book Statistical Methods for Modeling Human Dynamics written by Sy-Miin Chow and published by Taylor & Francis. This book was released on 2011-02-25 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: This interdisciplinary volume features contributions from researchers in the fields of psychology, neuroscience, statistics, computer science, and physics. State-of-the-art techniques and applications used to analyze data obtained from studies in cognition, emotion, and electrophysiology are reviewed along with techniques for modeling in real time and for examining lifespan cognitive changes, for conceptualizing change using item response, nonparametric and hierarchical models, and control theory-inspired techniques for deriving diagnoses in medical and psychotherapeutic settings. The syntax for running the analyses presented in the book is provided on the Psychology Press site. Most of the programs are written in R while others are for Matlab, SAS, Win-BUGS, and DyFA. Readers will appreciate a review of the latest methodological techniques developed in the last few years. Highlights include an examination of: Statistical and mathematical modeling techniques for the analysis of brain imaging such as EEGs, fMRIs, and other neuroscience data Dynamic modeling techniques for intensive repeated measurement data Panel modeling techniques for fewer time points data State-space modeling techniques for psychological data Techniques used to analyze reaction time data. Each chapter features an introductory overview of the techniques needed to understand the chapter, a summary, and numerous examples. Each self-contained chapter can be read on its own and in any order. Divided into three major sections, the book examines techniques for examining within-person derivations in change patterns, intra-individual change, and inter-individual differences in change and interpersonal dynamics. Intended for advanced students and researchers, this book will appeal to those interested in applying state-of-the-art dynamic modeling techniques to the the study of neurological, developmental, cognitive, and social/personality psychology, as well as neuroscience, computer science, and engineering.

Longitudinal Structural Equation Modeling

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Author :
Publisher : Taylor & Francis
ISBN 13 : 1000905977
Total Pages : 522 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Longitudinal Structural Equation Modeling by : Jason T. Newsom

Download or read book Longitudinal Structural Equation Modeling written by Jason T. Newsom and published by Taylor & Francis. This book was released on 2023-10-31 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: Longitudinal Structural Equation Modeling is a comprehensive resource that reviews structural equation modeling (SEM) strategies for longitudinal data to help readers determine which modeling options are available for which hypotheses. This accessibly written book explores a range of models, from basic to sophisticated, including the statistical and conceptual underpinnings that are the building blocks of the analyses. By exploring connections between models, it demonstrates how SEM is related to other longitudinal data techniques and shows when to choose one analysis over another. Newsom emphasizes concepts and practical guidance for applied research rather than focusing on mathematical proofs, and new terms are highlighted and defined in the glossary. Figures are included for every model along with detailed discussions of model specification and implementation issues and each chapter also includes examples of each model type, descriptions of model extensions, comment sections that provide practical guidance, and recommended readings. Expanded with new and updated material, this edition includes many recent developments, a new chapter on growth mixture modeling, and new examples. Ideal for graduate courses on longitudinal (data) analysis, advanced SEM, longitudinal SEM, and/or advanced data (quantitative) analysis taught in the behavioral, social, and health sciences, this new edition will continue to appeal to researchers in these fields.

Assessing Command and Control Effectiveness

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Author :
Publisher : CRC Press
ISBN 13 : 1317177991
Total Pages : 232 pages
Book Rating : 4.3/5 (171 download)

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Book Synopsis Assessing Command and Control Effectiveness by : Peter Berggren

Download or read book Assessing Command and Control Effectiveness written by Peter Berggren and published by CRC Press. This book was released on 2017-09-18 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assessing Command and Control Effectiveness: Dealing with a Changing World offers a description of the current state of Command and Control (C2) research in imperfect settings, showing how a research process should assess, analyse and communicate results to the development cycle of methods, work, manning and C2-technology. Special attention is given to the development of C2 research methods to meet the current and coming needs. The authors also look forward towards a future where effective assessment of C2 abilities are even more crucial, for instance in agile organisations. The purpose of the C2 research is to improve the process and make it more effective while still saving time and money. Research methods have to be chosen carefully to be effective and simple, yet provide results of high quality. The methodological concerns are a major consideration when working under such circumstances. Furthermore, there is often a need for a swift iterative development cycle, and thus a demand to quickly deliver results from the research process. This book explains how field research experimentation can be quick, simple and effective, being able to draw valid conclusions even when sample sizes are small and resources are limited, collecting empirical data using measures and procedures that are minimally intrusive.

The SAGE Handbook of Quantitative Methods in Psychology

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Author :
Publisher : SAGE
ISBN 13 : 144620667X
Total Pages : 801 pages
Book Rating : 4.4/5 (462 download)

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Book Synopsis The SAGE Handbook of Quantitative Methods in Psychology by : Roger E Millsap

Download or read book The SAGE Handbook of Quantitative Methods in Psychology written by Roger E Millsap and published by SAGE. This book was released on 2009-07-23 with total page 801 pages. Available in PDF, EPUB and Kindle. Book excerpt: `I often... wonder to myself whether the field needs another book, handbook, or encyclopedia on this topic. In this case I think that the answer is truly yes. The handbook is well focused on important issues in the field, and the chapters are written by recognized authorities in their fields. The book should appeal to anyone who wants an understanding of important topics that frequently go uncovered in graduate education in psychology′ - David C Howell, Professor Emeritus, University of Vermont Quantitative psychology is arguably one of the oldest disciplines within the field of psychology and nearly all psychologists are exposed to quantitative psychology in some form. While textbooks in statistics, research methods and psychological measurement exist, none offer a unified treatment of quantitative psychology. The SAGE Handbook of Quantitative Methods in Psychology does just that. Each chapter covers a methodological topic with equal attention paid to established theory and the challenges facing methodologists as they address new research questions using that particular methodology. The reader will come away from each chapter with a greater understanding of the methodology being addressed as well as an understanding of the directions for future developments within that methodological area. Drawing on a global scholarship, the Handbook is divided into seven parts: Part One: Design and Inference: addresses issues in the inference of causal relations from experimental and non-experimental research, along with the design of true experiments and quasi-experiments, and the problem of missing data due to various influences such as attrition or non-compliance. Part Two: Measurement Theory: begins with a chapter on classical test theory, followed by the common factor analysis model as a model for psychological measurement. The models for continuous latent variables in item-response theory are covered next, followed by a chapter on discrete latent variable models as represented in latent class analysis. Part Three: Scaling Methods: covers metric and non-metric scaling methods as developed in multidimensional scaling, followed by consideration of the scaling of discrete measures as found in dual scaling and correspondence analysis. Models for preference data such as those found in random utility theory are covered next. Part Four: Data Analysis: includes chapters on regression models, categorical data analysis, multilevel or hierarchical models, resampling methods, robust data analysis, meta-analysis, Bayesian data analysis, and cluster analysis. Part Five: Structural Equation Models: addresses topics in general structural equation modeling, nonlinear structural equation models, mixture models, and multilevel structural equation models. Part Six: Longitudinal Models: covers the analysis of longitudinal data via mixed modeling, time series analysis and event history analysis. Part Seven: Specialized Models: covers specific topics including the analysis of neuro-imaging data and functional data-analysis.