Methods And Applications Of Linear Models

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Methods and Applications of Linear Models

Ronald R. Hocking
Methods and Applications of Linear Models Book PDF

Author : Ronald R. Hocking
Publisher : John Wiley & Sons
Page : 724 pages
File Size : 45,5 Mb
Release : 2013-07-01
Category : Mathematics
ISBN : 9781118593028

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Methods and Applications of Linear Models by Ronald R. Hocking Pdf

Praise for the Second Edition "An essential desktop reference book . . . it should definitely be on your bookshelf." —Technometrics A thoroughly updated book, Methods and Applications of Linear Models: Regression and the Analysis of Variance, Third Edition features innovative approaches to understanding and working with models and theory of linear regression. The Third Edition provides readers with the necessary theoretical concepts, which are presented using intuitive ideas rather than complicated proofs, to describe the inference that is appropriate for the methods being discussed. The book presents a unique discussion that combines coverage of mathematical theory of linear models with analysis of variance models, providing readers with a comprehensive understanding of both the theoretical and technical aspects of linear models. With a new focus on fixed effects models, Methods and Applications of Linear Models: Regression and the Analysis of Variance, Third Edition also features: Newly added topics including least squares, the cell means model, and graphical inspection of data in the AVE method Frequent conceptual and numerical examples for clarifying the statistical analyses and demonstrating potential pitfalls Graphics and computations developed using JMP® software to accompany the concepts and techniques presented Numerous exercises presented to test readers and deepen their understanding of the material An ideal book for courses on linear models and linear regression at the undergraduate and graduate levels, the Third Edition of Methods and Applications of Linear Models: Regression and the Analysis of Variance is also a valuable reference for applied statisticians and researchers who utilize linear model methodology.

Linear Models in Statistics

Alvin C. Rencher,G. Bruce Schaalje
Linear Models in Statistics Book PDF

Author : Alvin C. Rencher,G. Bruce Schaalje
Publisher : John Wiley & Sons
Page : 690 pages
File Size : 53,6 Mb
Release : 2008-01-07
Category : Mathematics
ISBN : 9780470192603

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Linear Models in Statistics by Alvin C. Rencher,G. Bruce Schaalje Pdf

The essential introduction to the theory and application of linear models—now in a valuable new edition Since most advanced statistical tools are generalizations of the linear model, it is neces-sary to first master the linear model in order to move forward to more advanced concepts. The linear model remains the main tool of the applied statistician and is central to the training of any statistician regardless of whether the focus is applied or theoretical. This completely revised and updated new edition successfully develops the basic theory of linear models for regression, analysis of variance, analysis of covariance, and linear mixed models. Recent advances in the methodology related to linear mixed models, generalized linear models, and the Bayesian linear model are also addressed. Linear Models in Statistics, Second Edition includes full coverage of advanced topics, such as mixed and generalized linear models, Bayesian linear models, two-way models with empty cells, geometry of least squares, vector-matrix calculus, simultaneous inference, and logistic and nonlinear regression. Algebraic, geometrical, frequentist, and Bayesian approaches to both the inference of linear models and the analysis of variance are also illustrated. Through the expansion of relevant material and the inclusion of the latest technological developments in the field, this book provides readers with the theoretical foundation to correctly interpret computer software output as well as effectively use, customize, and understand linear models. This modern Second Edition features: New chapters on Bayesian linear models as well as random and mixed linear models Expanded discussion of two-way models with empty cells Additional sections on the geometry of least squares Updated coverage of simultaneous inference The book is complemented with easy-to-read proofs, real data sets, and an extensive bibliography. A thorough review of the requisite matrix algebra has been addedfor transitional purposes, and numerous theoretical and applied problems have been incorporated with selected answers provided at the end of the book. A related Web site includes additional data sets and SAS® code for all numerical examples. Linear Model in Statistics, Second Edition is a must-have book for courses in statistics, biostatistics, and mathematics at the upper-undergraduate and graduate levels. It is also an invaluable reference for researchers who need to gain a better understanding of regression and analysis of variance.

Generalized Linear Mixed Models

Walter W. Stroup
Generalized Linear Mixed Models Book PDF

Author : Walter W. Stroup
Publisher : CRC Press
Page : 547 pages
File Size : 40,5 Mb
Release : 2016-04-19
Category : Mathematics
ISBN : 9781439815137

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Generalized Linear Mixed Models by Walter W. Stroup Pdf

With numerous examples using SAS PROC GLIMMIX, this text presents an introduction to linear modeling using the generalized linear mixed model as an overarching conceptual framework. For readers new to linear models, the book helps them see the big picture. It shows how linear models fit with the rest of the core statistics curriculum and points out the major issues that statistical modelers must consider.

Regression Analysis and Linear Models

Richard B. Darlington,Andrew F. Hayes
Regression Analysis and Linear Models Book PDF

Author : Richard B. Darlington,Andrew F. Hayes
Publisher : Guilford Publications
Page : 689 pages
File Size : 55,6 Mb
Release : 2016-08-22
Category : Social Science
ISBN : 9781462527984

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Regression Analysis and Linear Models by Richard B. Darlington,Andrew F. Hayes Pdf

Emphasizing conceptual understanding over mathematics, this user-friendly text introduces linear regression analysis to students and researchers across the social, behavioral, consumer, and health sciences. Coverage includes model construction and estimation, quantification and measurement of multivariate and partial associations, statistical control, group comparisons, moderation analysis, mediation and path analysis, and regression diagnostics, among other important topics. Engaging worked-through examples demonstrate each technique, accompanied by helpful advice and cautions. The use of SPSS, SAS, and STATA is emphasized, with an appendix on regression analysis using R. The companion website (www.afhayes.com) provides datasets for the book's examples as well as the RLM macro for SPSS and SAS. Pedagogical Features: *Chapters include SPSS, SAS, or STATA code pertinent to the analyses described, with each distinctively formatted for easy identification. *An appendix documents the RLM macro, which facilitates computations for estimating and probing interactions, dominance analysis, heteroscedasticity-consistent standard errors, and linear spline regression, among other analyses. *Students are guided to practice what they learn in each chapter using datasets provided online. *Addresses topics not usually covered, such as ways to measure a variable’s importance, coding systems for representing categorical variables, causation, and myths about testing interaction.

Hierarchical Linear Models

Anthony S. Bryk,Stephen W. Raudenbush
Hierarchical Linear Models Book PDF

Author : Anthony S. Bryk,Stephen W. Raudenbush
Publisher : SAGE Publications, Incorporated
Page : 296 pages
File Size : 49,7 Mb
Release : 1992
Category : Mathematics
ISBN : STANFORD:36105006022078

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Hierarchical Linear Models by Anthony S. Bryk,Stephen W. Raudenbush Pdf

Hierarchical Linear Models launches a new Sage series, Advanced Quantitative Techniques in the Social Sciences. This introductory text explicates the theory and use of hierarchical linear models (HLM) through rich, illustrative examples and lucid explanations. The presentation remains reasonably nontechnical by focusing on three general research purposes - improved estimation of effects within an individual unit, estimating and testing hypotheses about cross-level effects, and partitioning of variance and covariance components among levels. This innovative volume describes use of both two and three level models in organizational research, studies of individual development and meta-analysis applications, and concludes with a formal derivation of the statistical methods used in the book.

Generalized Linear Mixed Models

Walter W. Stroup
Generalized Linear Mixed Models Book PDF

Author : Walter W. Stroup
Publisher : CRC Press
Page : 547 pages
File Size : 43,7 Mb
Release : 2016-04-19
Category : Mathematics
ISBN : 9781439815137

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Generalized Linear Mixed Models by Walter W. Stroup Pdf

With numerous examples using SAS PROC GLIMMIX, this text presents an introduction to linear modeling using the generalized linear mixed model as an overarching conceptual framework. For readers new to linear models, the book helps them see the big picture. It shows how linear models fit with the rest of the core statistics curriculum and points out the major issues that statistical modelers must consider.

Linear Models

Brenton R. Clarke
Linear Models Book PDF

Author : Brenton R. Clarke
Publisher : John Wiley & Sons
Page : 288 pages
File Size : 49,6 Mb
Release : 2008-09-19
Category : Mathematics
ISBN : 0470377976

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Linear Models by Brenton R. Clarke Pdf

An insightful approach to the analysis of variance in the study of linear models Linear Models explores the theory of linear models and the dynamic relationships that these models have with Analysis of Variance (ANOVA), experimental design, and random and mixed-model effects. This one-of-a-kind book emphasizes an approach that clearly explains the distribution theory of linear models and experimental design starting from basic mathematical concepts in linear algebra. The author begins with a presentation of the classic fixed-effects linear model and goes on to illustrate eight common linear models, along with the value of their use in statistics. From this foundation, subsequent chapters introduce concepts pertaining to the linear model, starting with vector space theory and the theory of least-squares estimation. An outline of the Helmert matrix is also presented, along with a thorough explanation of how the ANOVA is created in both typical two-way and higher layout designs, ultimately revealing the distribution theory. Other important topics covered include: Vector space theory The theory of least squares estimation Gauss-Markov theorem Kronecker products Diagnostic and robust methods for linear models Likelihood approaches to estimation A discussion of Bayesian theory is also included for purposes of comparison and contrast, and numerous illustrative exercises assist the reader with uncovering the nature of the models, using both classic and new data sets. Requiring only a working knowledge of basic probability and statistical inference, Linear Models is a valuable book for courses on linear models at the upper-undergraduate and graduate levels. It is also an excellent reference for practitioners who use linear models to conduct research in the fields of econometrics, psychology, sociology, biology, and agriculture.

Applied Linear Statistical Models

Michael H. Kutner
Applied Linear Statistical Models Book PDF

Author : Michael H. Kutner
Publisher : McGraw-Hill Education
Page : 1396 pages
File Size : 42,9 Mb
Release : 2005
Category : Analysis of variance
ISBN : 0071122214

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Applied Linear Statistical Models by Michael H. Kutner Pdf

Applied Linear Statistical Models 5e is the long established leading authoritative text and reference on statistical modeling. For students in most any discipline where statistical analysis or interpretation is used, ALSM serves as the standard work. The text includes brief introductory and review material, and then proceeds through regression and modeling for the first half, and through ANOVA and Experimental Design in the second half. All topics are presented in a precise and clear style supported with solved examples, numbered formulae, graphic illustrations, and "Notes" to provide depth and statistical accuracy and precision. Applications used within the text and the hallmark problems, exercises, and projects are drawn from virtually all disciplines and fields providing motivation for students in virtually any college. The Fifth edition provides an increased use of computing and graphical analysis throughout, without sacrificing concepts or rigor. In general, the 5e uses larger data sets in examples and exercises, and where methods can be automated within software without loss of understanding, it is so done.

An Introduction to Generalized Linear Models

George H. Dunteman,Moon-Ho R. Ho
An Introduction to Generalized Linear Models Book PDF

Author : George H. Dunteman,Moon-Ho R. Ho
Publisher : SAGE
Page : 92 pages
File Size : 54,5 Mb
Release : 2006
Category : Mathematics
ISBN : 0761920846

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An Introduction to Generalized Linear Models by George H. Dunteman,Moon-Ho R. Ho Pdf

Providing a thorough introduction to generalized linear models (GLM), exponential family distribution & maximum likelihood estimation, this book includes discussion on checking model adequacy & description on how to use a popular statistical software programme, SAS, to fit GLM.

Methods and Applications of Linear Models

Ronald R. Hocking
Methods and Applications of Linear Models Book PDF

Author : Ronald R. Hocking
Publisher : John Wiley & Sons
Page : 773 pages
File Size : 44,8 Mb
Release : 2005-02-04
Category : Mathematics
ISBN : 9780471458623

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Methods and Applications of Linear Models by Ronald R. Hocking Pdf

A popular statistical text now updated and better than ever! The ready availability of high-speed computers and statistical software encourages the analysis of ever larger and more complex problems while at the same time increasing the likelihood of improper usage. That is why it is increasingly important to educate end users in the correct interpretation of the methodologies involved. Now in its second edition, Methods and Applications of Linear Models: Regression and the Analysis of Variance seeks to more effectively address the analysis of such models through several important changes. Notable in this new edition: Fully updated and expanded text reflects the most recent developments in the AVE method Rearranged and reorganized discussions of application and theory enhance text’s effectiveness as a teaching tool More than 100 new exercises in the areas of regression and analysis of variance As in the First Edition, the author presents a thorough treatment of the concepts and methods of linear model analysis, and illustrates them with various numerical and conceptual examples, using a data-based approach to development and analysis. Data sets, available on an FTP site, allow readers to apply analytical methods discussed in the book.

Generalized Linear Models

P. McCullagh
Generalized Linear Models Book PDF

Author : P. McCullagh
Publisher : Routledge
Page : 361 pages
File Size : 54,7 Mb
Release : 2019-01-22
Category : Mathematics
ISBN : 9781351445849

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Generalized Linear Models by P. McCullagh Pdf

The success of the first edition of Generalized Linear Models led to the updated Second Edition, which continues to provide a definitive unified, treatment of methods for the analysis of diverse types of data. Today, it remains popular for its clarity, richness of content and direct relevance to agricultural, biological, health, engineering, and ot

Regression Modeling Strategies

Frank E. Harrell
Regression Modeling Strategies Book PDF

Author : Frank E. Harrell
Publisher : Springer Science & Business Media
Page : 583 pages
File Size : 53,7 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9781475734621

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Regression Modeling Strategies by Frank E. Harrell Pdf

Many texts are excellent sources of knowledge about individual statistical tools, but the art of data analysis is about choosing and using multiple tools. Instead of presenting isolated techniques, this text emphasizes problem solving strategies that address the many issues arising when developing multivariable models using real data and not standard textbook examples. It includes imputation methods for dealing with missing data effectively, methods for dealing with nonlinear relationships and for making the estimation of transformations a formal part of the modeling process, methods for dealing with "too many variables to analyze and not enough observations," and powerful model validation techniques based on the bootstrap. This text realistically deals with model uncertainty and its effects on inference to achieve "safe data mining".

Introduction to Linear Models and Statistical Inference

Steven J. Janke,Frederick Tinsley
Introduction to Linear Models and Statistical Inference Book PDF

Author : Steven J. Janke,Frederick Tinsley
Publisher : John Wiley & Sons
Page : 600 pages
File Size : 51,7 Mb
Release : 2005-09-15
Category : Mathematics
ISBN : 9780471740100

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Introduction to Linear Models and Statistical Inference by Steven J. Janke,Frederick Tinsley Pdf

A multidisciplinary approach that emphasizes learning by analyzing real-world data sets This book is the result of the authors' hands-on classroom experience and is tailored to reflect how students best learn to analyze linear relationships. The text begins with the introduction of four simple examples of actual data sets. These examples are developed and analyzed throughout the text, and more complicated examples of data sets are introduced along the way. Taking a multidisciplinary approach, the book traces the conclusion of the analyses of data sets taken from geology, biology, economics, psychology, education, sociology, and environmental science. As students learn to analyze the data sets, they master increasingly sophisticated linear modeling techniques, including: * Simple linear models * Multivariate models * Model building * Analysis of variance (ANOVA) * Analysis of covariance (ANCOVA) * Logistic regression * Total least squares The basics of statistical analysis are developed and emphasized, particularly in testing the assumptions and drawing inferences from linear models. Exercises are included at the end of each chapter to test students' skills before moving on to more advanced techniques and models. These exercises are marked to indicate whether calculus, linear algebra, or computer skills are needed. Unlike other texts in the field, the mathematics underlying the models is carefully explained and accessible to students who may not have any background in calculus or linear algebra. Most chapters include an optional final section on linear algebra for students interested in developing a deeper understanding. The many data sets that appear in the text are available on the book's Web site. The MINITAB(r) software program is used to illustrate many of the examples. For students unfamiliar with MINITAB(r), an appendix introduces the key features needed to study linear models. With its multidisciplinary approach and use of real-world data sets that bring the subject alive, this is an excellent introduction to linear models for students in any of the natural or social sciences.

Linear Models with R, Second Edition

Julian J. Faraway
Linear Models with R Second Edition Book PDF

Author : Julian J. Faraway
Publisher : CRC Press
Page : 288 pages
File Size : 48,6 Mb
Release : 2014-07-01
Category : Mathematics
ISBN : 9781439887332

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Linear Models with R, Second Edition by Julian J. Faraway Pdf

A Hands-On Way to Learning Data Analysis Part of the core of statistics, linear models are used to make predictions and explain the relationship between the response and the predictors. Understanding linear models is crucial to a broader competence in the practice of statistics. Linear Models with R, Second Edition explains how to use linear models in physical science, engineering, social science, and business applications. The book incorporates several improvements that reflect how the world of R has greatly expanded since the publication of the first edition. New to the Second Edition Reorganized material on interpreting linear models, which distinguishes the main applications of prediction and explanation and introduces elementary notions of causality Additional topics, including QR decomposition, splines, additive models, Lasso, multiple imputation, and false discovery rates Extensive use of the ggplot2 graphics package in addition to base graphics Like its widely praised, best-selling predecessor, this edition combines statistics and R to seamlessly give a coherent exposition of the practice of linear modeling. The text offers up-to-date insight on essential data analysis topics, from estimation, inference, and prediction to missing data, factorial models, and block designs. Numerous examples illustrate how to apply the different methods using R.

Linear Model Methodology

Andre I. Khuri
Linear Model Methodology Book PDF

Author : Andre I. Khuri
Publisher : CRC Press
Page : 562 pages
File Size : 50,6 Mb
Release : 2009-10-21
Category : Mathematics
ISBN : 9781420010442

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Linear Model Methodology by Andre I. Khuri Pdf

Given the importance of linear models in statistical theory and experimental research, a good understanding of their fundamental principles and theory is essential. Supported by a large number of examples, Linear Model Methodology provides a strong foundation in the theory of linear models and explores the latest developments in data analysis.After