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Linear Model Methodology


Author : Andre I. Khuri
language : en
Publisher: CRC Press
Release Date : 2009-10-21


PDF Download Linear Model Methodology Books For free written by Andre I. Khuri and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-21 with Mathematics categories.


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 presenting the historical evolution of certain methods and techniques used in linear models, the book reviews vector spaces and linear transformations and discusses the basic concepts and results of matrix algebra that are relevant to the study of linear models. Although mainly focused on classical linear models, the next several chapters also explore recent techniques for solving well-known problems that pertain to the distribution and independence of quadratic forms, the analysis of estimable linear functions and contrasts, and the general treatment of balanced random and mixed-effects models. The author then covers more contemporary topics in linear models, including the adequacy of Satterthwaite’s approximation, unbalanced fixed- and mixed-effects models, heteroscedastic linear models, response surface models with random effects, and linear multiresponse models. The final chapter introduces generalized linear models, which represent an extension of classical linear models. Linear models provide the groundwork for analysis of variance, regression analysis, response surface methodology, variance components analysis, and more, making it necessary to understand the theory behind linear modeling. Reflecting advances made in the last thirty years, this book offers a rigorous development of the theory underlying linear models.

Statistics For The Social Sciences


Author : Russell T. Warne
language : en
Publisher: Cambridge University Press
Release Date : 2017-12-14


PDF Download Statistics For The Social Sciences Books For free written by Russell T. Warne and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-14 with Mathematics categories.


This introductory undergraduate textbook is the first statistics textbook built around the General Linear Model.

Response Modeling Methodology


Author : Haim Shore
language : en
Publisher: World Scientific
Release Date : 2005-04-26


PDF Download Response Modeling Methodology Books For free written by Haim Shore and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-04-26 with Technology & Engineering categories.


This book introduces a new approach, denoted RMM, for an empirical modeling of a response variation, relating to both systematic variation and random variation. In the book, the developer of RMM discusses the required properties of empirical modeling and evaluates how current approaches conform to these requirements. In addition, he explains the motivation for the development of the new methodology, introduces in detail the new approach and its estimation procedures, and shows how it may provide an excellent alternative to current approaches for empirical modeling (like Generalized Linear Modeling, GLM). The book also demonstrates that a myriad of current relational models, developed independently in various engineering and scientific disciplines, are in fact special cases of the RMM model, and so are many current statistical distributions, transformations and approximations. Contents: Current Models and Modeling Methodologies:Relational Models in Engineering and the Sciences (Monotone Convex/Concave Relationships)Shared Features and “The Ladder”Approaches to Model Systematic VariationApproaches to Model Random VariationThe Requirements and Evaluation of ComplianceRMM — Developing and Evaluating the General Approach:The RMM ModelEstimating the Relational ModelThe RMM Error DistributionFitting Procedures (for the Error Distribution)Estimating the Error DistributionSpecial Cases of the RMM ModelEvaluating RMM for ComplianceModeling Systematic Variation — Applications:Comparative Solutions for Relational ModelsReliability Engineering (with Censoring)Software Reliability-Growth ModelsModeling a Chemo-ResponseForecasting S-Shaped Diffusion ProcessesModeling Random Variation — Applications:RMM Distributional ApproximationsInverse Normalizing TransformationsPiece-Wise Linear ApproximationsGeneral Control ChartsInventory Analysis Readership: Graduate students, researchers and other professionals employing empirical modeling in areas like Quality and Reliability, Operations Research, Operations Management and Applied Statistics. Keywords:Box-Cox Transformation;Chemical Engineering;Distribution;Fitting Empirical Modeling;Generalized Linear Models;Nonlinear Regression Analysis;Operations Management;Operations Research;Quality and Reliability Engineering;Response Modeling MethodologyKey Features:Demonstrates how the new approach (RMM) differs from current approaches in that both the structure of the model and its parameters are determined via data-driven proceduresDemonstrates that a single comprehensive methodology may provide a good platform for empirical modeling of both systematic variation (relational modeling) and random variation (variation that is captured by a statistical distribution with stable parameters)Provides handy procedures to apply to the new methodology, accompanied by detailed numerical examples for the implementation of these procedures

Mixed Linear Model Methodology In Plant Breeding


Author : Sergio Alfredo Rodriguez-Herrera
language : en
Publisher:
Release Date : 1992


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Non Standard Problems In Inference For Additive And Linear Mixed Models


Author : Sonja Greven
language : en
Publisher: Cuvillier Verlag
Release Date : 2008


PDF Download Non Standard Problems In Inference For Additive And Linear Mixed Models Books For free written by Sonja Greven and has been published by Cuvillier Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Inference categories.




A First Course In The Design Of Experiments


Author : John H. Skillings
language : en
Publisher: CRC Press
Release Date : 1999-11-24


PDF Download A First Course In The Design Of Experiments Books For free written by John H. Skillings and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-11-24 with Mathematics categories.


Most texts on experimental design fall into one of two distinct categories. There are theoretical works with few applications and minimal discussion on design, and there are methods books with limited or no discussion of the underlying theory. Furthermore, most of these tend to either treat the analysis of each design separately with little attempt to unify procedures, or they will integrate the analysis for the designs into one general technique. A First Course in the Design of Experiments: A Linear Models Approach stands apart. It presents theory and methods, emphasizes both the design selection for an experiment and the analysis of data, and integrates the analysis for the various designs with the general theory for linear models. The authors begin with a general introduction then lead students through the theoretical results, the various design models, and the analytical concepts that will enable them to analyze virtually any design. Rife with examples and exercises, the text also encourages using computers to analyze data. The authors use the SAS software package throughout the book, but also demonstrate how any regression program can be used for analysis. With its balanced presentation of theory, methods, and applications and its highly readable style, A First Course in the Design of Experiments proves ideal as a text for a beginning graduate or upper-level undergraduate course in the design and analysis of experiments.

Nonparametric Regression As A General Statistical Modeling Methodology


Author : Jeffrey Thomas McLeod
language : en
Publisher:
Release Date : 1998


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