Non Nested Models And The Likelihood Ratio Statistic

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Beyond Multiple Linear Regression

Author : Paul Roback
Publisher : CRC Press
ISBN 13 : 1439885400
Total Pages : 436 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Beyond Multiple Linear Regression by : Paul Roback

Download or read book Beyond Multiple Linear Regression written by Paul Roback and published by CRC Press. This book was released on 2021-01-14 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beyond Multiple Linear Regression: Applied Generalized Linear Models and Multilevel Models in R is designed for undergraduate students who have successfully completed a multiple linear regression course, helping them develop an expanded modeling toolkit that includes non-normal responses and correlated structure. Even though there is no mathematical prerequisite, the authors still introduce fairly sophisticated topics such as likelihood theory, zero-inflated Poisson, and parametric bootstrapping in an intuitive and applied manner. The case studies and exercises feature real data and real research questions; thus, most of the data in the textbook comes from collaborative research conducted by the authors and their students, or from student projects. Every chapter features a variety of conceptual exercises, guided exercises, and open-ended exercises using real data. After working through this material, students will develop an expanded toolkit and a greater appreciation for the wider world of data and statistical modeling. A solutions manual for all exercises is available to qualified instructors at the book’s website at www.routledge.com, and data sets and Rmd files for all case studies and exercises are available at the authors’ GitHub repo (https://github.com/proback/BeyondMLR)

Model Choice in Nonnested Families

Author : Basilio de Bragança Pereira
Publisher : Springer
ISBN 13 : 3662537362
Total Pages : 105 pages
Book Rating : 4.6/5 (625 download)

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Book Synopsis Model Choice in Nonnested Families by : Basilio de Bragança Pereira

Download or read book Model Choice in Nonnested Families written by Basilio de Bragança Pereira and published by Springer. This book was released on 2016-12-30 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the problem of model choice when the statistical models are separate, also called nonnested. Chapter 1 provides an introduction, motivating examples and a general overview of the problem. Chapter 2 presents the classical or frequentist approach to the problem as well as several alternative procedures and their properties. Chapter 3 explores the Bayesian approach, the limitations of the classical Bayes factors and the proposed alternative Bayes factors to overcome these limitations. It also discusses a significance Bayesian procedure. Lastly, Chapter 4 examines the pure likelihood approach. Various real-data examples and computer simulations are provided throughout the text.

Introduction to Statistical Modelling and Inference

Author : Murray Aitkin
Publisher : CRC Press
ISBN 13 : 1000644588
Total Pages : 429 pages
Book Rating : 4.0/5 (6 download)

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Book Synopsis Introduction to Statistical Modelling and Inference by : Murray Aitkin

Download or read book Introduction to Statistical Modelling and Inference written by Murray Aitkin and published by CRC Press. This book was released on 2022-09-30 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: The complexity of large-scale data sets (“Big Data”) has stimulated the development of advanced computational methods for analysing them. There are two different kinds of methods to aid this. The model-based method uses probability models and likelihood and Bayesian theory, while the model-free method does not require a probability model, likelihood or Bayesian theory. These two approaches are based on different philosophical principles of probability theory, espoused by the famous statisticians Ronald Fisher and Jerzy Neyman. Introduction to Statistical Modelling and Inference covers simple experimental and survey designs, and probability models up to and including generalised linear (regression) models and some extensions of these, including finite mixtures. A wide range of examples from different application fields are also discussed and analysed. No special software is used, beyond that needed for maximum likelihood analysis of generalised linear models. Students are expected to have a basic mathematical background in algebra, coordinate geometry and calculus. Features • Probability models are developed from the shape of the sample empirical cumulative distribution function (cdf) or a transformation of it. • Bounds for the value of the population cumulative distribution function are obtained from the Beta distribution at each point of the empirical cdf. • Bayes’s theorem is developed from the properties of the screening test for a rare condition. • The multinomial distribution provides an always-true model for any randomly sampled data. • The model-free bootstrap method for finding the precision of a sample estimate has a model-based parallel – the Bayesian bootstrap – based on the always-true multinomial distribution. • The Bayesian posterior distributions of model parameters can be obtained from the maximum likelihood analysis of the model. This book is aimed at students in a wide range of disciplines including Data Science. The book is based on the model-based theory, used widely by scientists in many fields, and compares it, in less detail, with the model-free theory, popular in computer science, machine learning and official survey analysis. The development of the model-based theory is accelerated by recent developments in Bayesian analysis.

Understanding Advanced Statistical Methods

Author : Peter Westfall
Publisher : CRC Press
ISBN 13 : 1466512113
Total Pages : 572 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Understanding Advanced Statistical Methods by : Peter Westfall

Download or read book Understanding Advanced Statistical Methods written by Peter Westfall and published by CRC Press. This book was released on 2013-04-09 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing a much-needed bridge between elementary statistics courses and advanced research methods courses, Understanding Advanced Statistical Methods helps students grasp the fundamental assumptions and machinery behind sophisticated statistical topics, such as logistic regression, maximum likelihood, bootstrapping, nonparametrics, and Bayesian me

Interpreting Standard and Nonstandard Log-Linear Models

Author : Patrick Mair
Publisher : Waxmann Verlag
ISBN 13 : 9783830966111
Total Pages : 168 pages
Book Rating : 4.9/5 (661 download)

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Book Synopsis Interpreting Standard and Nonstandard Log-Linear Models by : Patrick Mair

Download or read book Interpreting Standard and Nonstandard Log-Linear Models written by Patrick Mair and published by Waxmann Verlag. This book was released on with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Log-linear models can be used to analyze the relationships among categorical variables. The nature of these relationships is described based on the interpretation. This framework includes the usual standard models, but also nonstandard and non-hierarchical models. Alexander von Eye, Michigan State University.

A Companion to Theoretical Econometrics

Author : Badi H. Baltagi
Publisher : John Wiley & Sons
ISBN 13 : 047099830X
Total Pages : 736 pages
Book Rating : 4.4/5 (79 download)

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Book Synopsis A Companion to Theoretical Econometrics by : Badi H. Baltagi

Download or read book A Companion to Theoretical Econometrics written by Badi H. Baltagi and published by John Wiley & Sons. This book was released on 2008-04-15 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Companion to Theoretical Econometrics provides a comprehensive reference to the basics of econometrics. This companion focuses on the foundations of the field and at the same time integrates popular topics often encountered by practitioners. The chapters are written by international experts and provide up-to-date research in areas not usually covered by standard econometric texts. Focuses on the foundations of econometrics. Integrates real-world topics encountered by professionals and practitioners. Draws on up-to-date research in areas not covered by standard econometrics texts. Organized to provide clear, accessible information and point to further readings.

Encyclopaedic Companion to Medical Statistics

Author : Brian S. Everitt
Publisher : John Wiley & Sons
ISBN 13 : 1119957400
Total Pages : 753 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis Encyclopaedic Companion to Medical Statistics by : Brian S. Everitt

Download or read book Encyclopaedic Companion to Medical Statistics written by Brian S. Everitt and published by John Wiley & Sons. This book was released on 2011-06-20 with total page 753 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical methodology is of great importance to medical research and clinical practice. The Encyclopaedic Companion to Medical Statistics contains readable accounts of the key topics central to current research and practice. Each entry has been written by an individual chosen for both their expertise in the field and their ability to communicate statistical concepts successfully to medical researchers. Real examples from the biomedical literature and relevant illustrations feature in many entries and extensive cross–referencing signposts the reader to related entries. Key Features: Contains accounts of over 400 statistical topics central to current medical research. 80% of first edition entries updated and revised. Presents the latest techniques used at the cutting edge of medical research. Covers common errors in statistical analyses in medicine. Real examples from the biomedical literature and relevant illustrations feature throughout. Contains contributions from over 70 experts in the field. Medical researchers, researchers and practitioners in medical research and statistics will benefit greatly from this book.

Principles and Practice of Structural Equation Modeling

Author : Rex B. Kline
Publisher : Guilford Publications
ISBN 13 : 1462552013
Total Pages : 515 pages
Book Rating : 4.4/5 (625 download)

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Book Synopsis Principles and Practice of Structural Equation Modeling by : Rex B. Kline

Download or read book Principles and Practice of Structural Equation Modeling written by Rex B. Kline and published by Guilford Publications. This book was released on 2023-04-12 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: Significantly revised, the fifth edition of the most complete, accessible text now covers all three approaches to structural equation modeling (SEM)--covariance-based SEM, nonparametric SEM (Pearl’s structural causal model), and composite SEM (partial least squares path modeling). With increased emphasis on freely available software tools such as the R lavaan package, the text uses data examples from multiple disciplines to provide a comprehensive understanding of all phases of SEM--what to know, best practices, and pitfalls to avoid. It includes exercises with answers, rules to remember, topic boxes, and a new self-test on significance testing, regression, and psychometrics. The companion website supplies helpful primers on these topics as well as data, syntax, and output for the book's examples, in files that can be opened with any basic text editor. New to This Edition *Chapters on composite SEM, also called partial least squares path modeling or variance-based SEM; conducting SEM analyses in small samples; and recent developments in mediation analysis. *Coverage of new reporting standards for SEM analyses; piecewise SEM, also called confirmatory path analysis; comparing alternative models fitted to the same data; and issues in multiple-group SEM. *Extended tutorials on techniques for dealing with missing data in SEM and instrumental variable methods to deal with confounding of target causal effects. Pedagogical Features *New self-test of knowledge about background topics (significance testing, regression, and psychometrics) with scoring key and online primers. *End-of-chapter suggestions for further reading and exercises with answers. *Troublesome examples from real data, with guidance for handling typical problems in analyses. *Topic boxes on special issues and boxed rules to remember. *Website promoting a learn-by-doing approach, including data, extensively annotated syntax, and output files for all the book’s detailed examples.

Applied Multivariate Statistical Concepts

Author : Debbie L. Hahs-Vaughn
Publisher : Taylor & Francis
ISBN 13 : 1040128459
Total Pages : 877 pages
Book Rating : 4.0/5 (41 download)

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Book Synopsis Applied Multivariate Statistical Concepts by : Debbie L. Hahs-Vaughn

Download or read book Applied Multivariate Statistical Concepts written by Debbie L. Hahs-Vaughn and published by Taylor & Francis. This book was released on 2024-10-29 with total page 877 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition of Applied Multivariate Statistical Concepts covers the classic and cutting-edge multivariate techniques used in today’s research. Through clear writing and engaging pedagogy and examples using real data, Hahs-Vaughn walks students through the most used methods to learn why and how to apply each technique. A conceptual approach with a higher than usual text-to-formula ratio helps readers master key concepts so they can implement and interpret results generated by today’s sophisticated software. Additional features include examples using real data from the social sciences; templates for writing research questions and results that provide manuscript-ready models; step-by-step instructions on using R and SPSS statistical software with screenshots and annotated output; clear coverage of assumptions, including how to test them and the effects of their violation; and conceptual, computational, and interpretative example problems that mirror the real-world problems students encounter in their studies and careers. This edition features expanded coverage of topics, such as propensity score analysis, path analysis and confirmatory factor analysis, and centering, moderation effects, and power as related to multilevel modelling. New topics are introduced, such as addressing missing data and latent class analysis, while each chapter features an introduction to using R statistical software. This textbook is ideal for courses on multivariate statistics/analysis/design, advanced statistics, and quantitative techniques, as well as for graduate students broadly in social sciences, education, and behavioral sciences. It also appeals to researchers with no training in multivariate methods.

Evidential Statistics, Model Identification, and Science

Author : Mark Louis Taper
Publisher : Frontiers Media SA
ISBN 13 : 288974406X
Total Pages : 238 pages
Book Rating : 4.8/5 (897 download)

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Book Synopsis Evidential Statistics, Model Identification, and Science by : Mark Louis Taper

Download or read book Evidential Statistics, Model Identification, and Science written by Mark Louis Taper and published by Frontiers Media SA. This book was released on 2022-02-15 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Presenting Statistical Results Effectively

Author : Robert Andersen
Publisher : SAGE
ISBN 13 : 1473944163
Total Pages : 391 pages
Book Rating : 4.4/5 (739 download)

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Book Synopsis Presenting Statistical Results Effectively by : Robert Andersen

Download or read book Presenting Statistical Results Effectively written by Robert Andersen and published by SAGE. This book was released on 2021-12-15 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Perfect for any statistics student or researcher, this book offers hands-on guidance on how to interpret and discuss your results in a way that not only gives them meaning, but also achieves maximum impact on your target audience. No matter what variables your data involves, it offers a roadmap for analysis and presentation that can be extended to other models and contexts. Focused on best practices for building statistical models and effectively communicating their results, this book helps you: - Find the right analytic and presentation techniques for your type of data - Understand the cognitive processes involved in decoding information - Assess distributions and relationships among variables - Know when and how to choose tables or graphs - Build, compare, and present results for linear and non-linear models - Work with univariate, bivariate, and multivariate distributions - Communicate the processes involved in and importance of your results.

Multilevel Modeling

Author : G. David Garson
Publisher : SAGE Publications
ISBN 13 : 1544319304
Total Pages : 553 pages
Book Rating : 4.5/5 (443 download)

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Book Synopsis Multilevel Modeling by : G. David Garson

Download or read book Multilevel Modeling written by G. David Garson and published by SAGE Publications. This book was released on 2019-07-31 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing a gentle, hands-on illustration of the most common types of multilevel modeling software, offering instructors multiple software resources for their students and an applications-based foundation for teaching multilevel modeling in the social sciences.

Actuarial Modelling of Claim Counts

Author : Michel Denuit
Publisher : John Wiley & Sons
ISBN 13 : 9780470517413
Total Pages : 384 pages
Book Rating : 4.5/5 (174 download)

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Book Synopsis Actuarial Modelling of Claim Counts by : Michel Denuit

Download or read book Actuarial Modelling of Claim Counts written by Michel Denuit and published by John Wiley & Sons. This book was released on 2007-07-27 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are a wide range of variables for actuaries to consider when calculating a motorist’s insurance premium, such as age, gender and type of vehicle. Further to these factors, motorists’ rates are subject to experience rating systems, including credibility mechanisms and Bonus Malus systems (BMSs). Actuarial Modelling of Claim Counts presents a comprehensive treatment of the various experience rating systems and their relationships with risk classification. The authors summarize the most recent developments in the field, presenting ratemaking systems, whilst taking into account exogenous information. The text: Offers the first self-contained, practical approach to a priori and a posteriori ratemaking in motor insurance. Discusses the issues of claim frequency and claim severity, multi-event systems, and the combinations of deductibles and BMSs. Introduces recent developments in actuarial science and exploits the generalised linear model and generalised linear mixed model to achieve risk classification. Presents credibility mechanisms as refinements of commercial BMSs. Provides practical applications with real data sets processed with SAS software. Actuarial Modelling of Claim Counts is essential reading for students in actuarial science, as well as practicing and academic actuaries. It is also ideally suited for professionals involved in the insurance industry, applied mathematicians, quantitative economists, financial engineers and statisticians.

Univariate and Multivariate General Linear Models

Author : Kevin Kim
Publisher : CRC Press
ISBN 13 : 9781584886341
Total Pages : 576 pages
Book Rating : 4.8/5 (863 download)

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Book Synopsis Univariate and Multivariate General Linear Models by : Kevin Kim

Download or read book Univariate and Multivariate General Linear Models written by Kevin Kim and published by CRC Press. This book was released on 2006-10-11 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reviewing the theory of the general linear model (GLM) using a general framework, Univariate and Multivariate General Linear Models: Theory and Applications with SAS, Second Edition presents analyses of simple and complex models, both univariate and multivariate, that employ data sets from a variety of disciplines, such as the social and behavioral sciences. With revised examples that include options available using SAS 9.0, this expanded edition divides theory from applications within each chapter. Following an overview of the GLM, the book introduces unrestricted GLMs to analyze multiple regression and ANOVA designs as well as restricted GLMs to study ANCOVA designs and repeated measurement designs. Extensions of these concepts include GLMs with heteroscedastic errors that encompass weighted least squares regression and categorical data analysis, and multivariate GLMs that cover multivariate regression analysis, MANOVA, MANCOVA, and repeated measurement data analyses. The book also analyzes double multivariate linear, growth curve, seeming unrelated regression (SUR), restricted GMANOVA, and hierarchical linear models. New to the Second Edition Two chapters on finite intersection tests and power analysis that illustrates the experimental GLMPOWER procedure Expanded theory of unrestricted general linear, multivariate general linear, SUR, and restricted GMANOVA models to comprise recent developments Expanded material on missing data to include multiple imputation and the EM algorithm Applications of MI, MIANALYZE, TRANSREG, and CALIS procedures A practical introduction to GLMs, Univariate and Multivariate General Linear Models demonstrates how to fully grasp the generality of GLMs by discussing them within a general framework.

Analyzing Dependent Data with Vine Copulas

Author : Claudia Czado
Publisher : Springer
ISBN 13 : 3030137856
Total Pages : 261 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Analyzing Dependent Data with Vine Copulas by : Claudia Czado

Download or read book Analyzing Dependent Data with Vine Copulas written by Claudia Czado and published by Springer. This book was released on 2019-05-14 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a step-by-step introduction to the class of vine copulas, their statistical inference and applications. It focuses on statistical estimation and selection methods for vine copulas in data applications. These flexible copula models can successfully accommodate any form of tail dependence and are vital to many applications in finance, insurance, hydrology, marketing, engineering, chemistry, aviation, climatology and health. The book explains the pair-copula construction principles underlying these statistical models and discusses how to perform model selection and inference. It also derives simulation algorithms and presents real-world examples to illustrate the methodological concepts. The book includes numerous exercises that facilitate and deepen readers’ understanding, and demonstrates how the R package VineCopula can be used to explore and build statistical dependence models from scratch. In closing, the book provides insights into recent developments and open research questions in vine copula based modeling. The book is intended for students as well as statisticians, data analysts and any other quantitatively oriented researchers who are new to the field of vine copulas. Accordingly, it provides the necessary background in multivariate statistics and copula theory for exploratory data tools, so that readers only need a basic grasp of statistics and probability.

Models for Ecological Data

Author : James S. Clark
Publisher : Princeton University Press
ISBN 13 : 0691220123
Total Pages : 634 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Models for Ecological Data by : James S. Clark

Download or read book Models for Ecological Data written by James S. Clark and published by Princeton University Press. This book was released on 2020-10-06 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: The environmental sciences are undergoing a revolution in the use of models and data. Facing ecological data sets of unprecedented size and complexity, environmental scientists are struggling to understand and exploit powerful new statistical tools for making sense of ecological processes. In Models for Ecological Data, James Clark introduces ecologists to these modern methods in modeling and computation. Assuming only basic courses in calculus and statistics, the text introduces readers to basic maximum likelihood and then works up to more advanced topics in Bayesian modeling and computation. Clark covers both classical statistical approaches and powerful new computational tools and describes how complexity can motivate a shift from classical to Bayesian methods. Through an available lab manual, the book introduces readers to the practical work of data modeling and computation in the language R. Based on a successful course at Duke University and National Science Foundation-funded institutes on hierarchical modeling, Models for Ecological Data will enable ecologists and other environmental scientists to develop useful models that make sense of ecological data. Consistent treatment from classical to modern Bayes Underlying distribution theory to algorithm development Many examples and applications Does not assume statistical background Extensive supporting appendixes Lab manual in R is available separately

Statistical Methods in Water Resources

Author : D.R. Helsel
Publisher : Elsevier
ISBN 13 : 0444885285
Total Pages : 540 pages
Book Rating : 4.4/5 (448 download)

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Book Synopsis Statistical Methods in Water Resources by : D.R. Helsel

Download or read book Statistical Methods in Water Resources written by D.R. Helsel and published by Elsevier. This book was released on 1992-04-03 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: Data on water quality and other environmental issues are being collected at an ever-increasing rate. In the past, however, the techniques used by scientists to interpret this data have not progressed as quickly. This is a book of modern statistical methods for analysis of practical problems in water quality and water resources. The last fifteen years have seen major advances in the fields of exploratory data analysis (EDA) and robust statistical methods. The 'real-life' characteristics of environmental data tend to drive analysis towards the use of these methods. These advances are presented in a practical and relevant format. Alternate methods are compared, highlighting the strengths and weaknesses of each as applied to environmental data. Techniques for trend analysis and dealing with water below the detection limit are topics covered, which are of great interest to consultants in water-quality and hydrology, scientists in state, provincial and federal water resources, and geological survey agencies. The practising water resources scientist will find the worked examples using actual field data from case studies of environmental problems, of real value. Exercises at the end of each chapter enable the mechanics of the methodological process to be fully understood, with data sets included on diskette for easy use. The result is a book that is both up-to-date and immediately relevant to ongoing work in the environmental and water sciences.