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Recent Advances in Regression Methods

Recent Advances in Regression Methods PDF Author: Hrishikesh D. Vinod
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 384

Book Description
Linear regression model; Criteria for good regression estimators: MSE, consistency, stability, robustness, minimaxity and Bayesian 'MELO' ness; Restricted least squares and bayesian regression; Autoregressive moving average (ARMA) regression errors and heteroscedasticity; Multicollinearity and stability of regression coefficients; Stein-rule shrinkage estimator; Ridge regression; Further ridge theory and solutions; Estimation of polynomial distributed lag models; Multiple sets of regression squations; Simultaneous equations models; Canonical correlations, and discriminant analysis with ridge-type modification; Improved estimators under nonnormal errors and robust regression.

Recent Advances in Regression Methods

Recent Advances in Regression Methods PDF Author: Hrishikesh D. Vinod
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 384

Book Description
Linear regression model; Criteria for good regression estimators: MSE, consistency, stability, robustness, minimaxity and Bayesian 'MELO' ness; Restricted least squares and bayesian regression; Autoregressive moving average (ARMA) regression errors and heteroscedasticity; Multicollinearity and stability of regression coefficients; Stein-rule shrinkage estimator; Ridge regression; Further ridge theory and solutions; Estimation of polynomial distributed lag models; Multiple sets of regression squations; Simultaneous equations models; Canonical correlations, and discriminant analysis with ridge-type modification; Improved estimators under nonnormal errors and robust regression.

Modern Regression Methods

Modern Regression Methods PDF Author: Thomas P. Ryan
Publisher: Wiley-Interscience
ISBN:
Category : Mathematics
Languages : en
Pages : 554

Book Description
The most comprehensive book available on state-of-the-art regression methodology, complete with exercises and solutions This combination book and disk set presents the full range of regression techniques available today to practitioners, researchers, and students of this popular and ever-changing field. Featuring a strong data analysis orientation and a more comprehensive treatment of regression diagnostics than is found in other texts, Modern Regression Methods contains a wealth of material assembled here for the first time, including recently developed techniques and some new methods introduced by the author, as well as fresh approaches to standard concepts. With thorough analyses of real-world data sets and many exercises with worked solutions, this unique resource reinforces learning while providing you with crucial hands-on experience in the practical application of skills. The book offers: In-depth treatment of standard regression methods, including diagnostics, transformations, ridge regression, and variable selection techniques A detailed examination of nonlinear regression, robust regression, and logistic regression, including both exact and maximum likelihood approaches for logistic regression New graphical techniques and transformation strategies for multiple regression and a survey of nonparametric regression Experimental designs for regression Minitab macros to facilitate understanding and use of many of the new methods that are presented Amstat News asked three review editors to rate their top five favorite books in the September 2003 issue. Modern Regression Methods was among those chosen.

Advanced Regression Models with SAS and R

Advanced Regression Models with SAS and R PDF Author: Olga Korosteleva
Publisher: CRC Press
ISBN: 1351690086
Category : Mathematics
Languages : en
Pages : 325

Book Description
Advanced Regression Models with SAS and R exposes the reader to the modern world of regression analysis. The material covered by this book consists of regression models that go beyond linear regression, including models for right-skewed, categorical and hierarchical observations. The book presents the theory as well as fully worked-out numerical examples with complete SAS and R codes for each regression. The emphasis is on model accuracy and the interpretation of results. For each regression, the fitted model is presented along with interpretation of estimated regression coefficients and prediction of response for given values of predictors. Features: Presents the theoretical framework for each regression. Discusses data that are categorical, count, proportions, right-skewed, longitudinal and hierarchical. Uses examples based on real-life consulting projects. Provides complete SAS and R codes for each example. Includes several exercises for every regression. Advanced Regression Models with SAS and R is designed as a text for an upper division undergraduate or a graduate course in regression analysis. Prior exposure to the two software packages is desired but not required. The Author: Olga Korosteleva is a Professor of Statistics at California State University, Long Beach. She teaches a large variety of statistical courses to undergraduate and master’s students. She has published three statistical textbooks. For a number of years, she has held the position of faculty director of the statistical consulting group. Her research interests lie mostly in applications of statistical methodology through collaboration with her clients in health sciences, nursing, kinesiology, and other fields.

Recent Advances in Linear Models and Related Areas

Recent Advances in Linear Models and Related Areas PDF Author: Shalabh
Publisher: Springer Science & Business Media
ISBN: 3790820644
Category : Mathematics
Languages : en
Pages : 448

Book Description
This collection contains invited papers by distinguished statisticians to honour and acknowledge the contributions of Professor Dr. Dr. Helge Toutenburg to Statistics on the occasion of his sixty-?fth birthday. These papers present the most recent developments in the area of the linear model and its related topics. Helge Toutenburg is an established statistician and currently a Professor in the Department of Statistics at the University of Munich (Germany) and Guest Professor at the University of Basel (Switzerland). He studied Mathematics in his early years at Berlin and specialized in Statistics. Later he completed his dissertation (Dr. rer. nat. ) in 1969 on optimal prediction procedures at the University of Berlin and completed the post-doctoral thesis in 1989 at the University of Dortmund on the topic of mean squared error superiority. He taught at the Universities of Berlin, Dortmund and Regensburg before joining the University of Munich in 1991. He has various areas of interest in which he has authored and co-authored over 130 research articles and 17 books. He has made pioneering contributions in several areas of statistics, including linear inference, linear models, regression analysis, quality engineering, Taguchi methods, analysis of variance, design of experiments, and statistics in medicine and dentistry.

Regression Analysis by Example

Regression Analysis by Example PDF Author: Samprit Chatterjee
Publisher: John Wiley & Sons
ISBN: 0470055456
Category : Mathematics
Languages : en
Pages : 403

Book Description
The essentials of regression analysis through practical applications Regression analysis is a conceptually simple method for investigating relationships among variables. Carrying out a successful application of regression analysis, however, requires a balance of theoretical results, empirical rules, and subjective judgement. Regression Analysis by Example, Fourth Edition has been expanded and thoroughly updated to reflect recent advances in the field. The emphasis continues to be on exploratory data analysis rather than statistical theory. The book offers in-depth treatment of regression diagnostics, transformation, multicollinearity, logistic regression, and robust regression. This new edition features the following enhancements: Chapter 12, Logistic Regression, is expanded to reflect the increased use of the logit models in statistical analysis A new chapter entitled Further Topics discusses advanced areas of regression analysis Reorganized, expanded, and upgraded exercises appear at the end of each chapter A fully integrated Web page provides data sets Numerous graphical displays highlight the significance of visual appeal Regression Analysis by Example, Fourth Edition is suitable for anyone with an understanding of elementary statistics. Methods of regression analysis are clearly demonstrated, and examples containing the types of irregularities commonly encountered in the real world are provided. Each example isolates one or two techniques and features detailed discussions of the techniques themselves, the required assumptions, and the evaluated success of each technique. The methods described throughout the book can be carried out with most of the currently available statistical software packages, such as the software package R. An Instructor's Manual presenting detailed solutions to all the problems in the book is available from the Wiley editorial department.

Regression Analysis and Linear Models

Regression Analysis and Linear Models PDF Author: Richard B. Darlington
Publisher: Guilford Publications
ISBN: 1462527981
Category : Social Science
Languages : en
Pages : 689

Book Description
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.

Regression Analysis by Example

Regression Analysis by Example PDF Author: Samprit Chatterjee
Publisher: John Wiley & Sons
ISBN: 1119122732
Category : Mathematics
Languages : en
Pages : 421

Book Description
Praise for the Fourth Edition: "This book is . . . an excellent source of examples for regression analysis. It has been and still is readily readable and understandable." —Journal of the American Statistical Association Regression analysis is a conceptually simple method for investigating relationships among variables. Carrying out a successful application of regression analysis, however, requires a balance of theoretical results, empirical rules, and subjective judgment. Regression Analysis by Example, Fifth Edition has been expanded and thoroughly updated to reflect recent advances in the field. The emphasis continues to be on exploratory data analysis rather than statistical theory. The book offers in-depth treatment of regression diagnostics, transformation, multicollinearity, logistic regression, and robust regression. The book now includes a new chapter on the detection and correction of multicollinearity, while also showcasing the use of the discussed methods on newly added data sets from the fields of engineering, medicine, and business. The Fifth Edition also explores additional topics, including: Surrogate ridge regression Fitting nonlinear models Errors in variables ANOVA for designed experiments Methods of regression analysis are clearly demonstrated, and examples containing the types of irregularities commonly encountered in the real world are provided. Each example isolates one or two techniques and features detailed discussions, the required assumptions, and the evaluated success of each technique. Additionally, methods described throughout the book can be carried out with most of the currently available statistical software packages, such as the software package R. Regression Analysis by Example, Fifth Edition is suitable for anyone with an understanding of elementary statistics.

Regression & Linear Modeling

Regression & Linear Modeling PDF Author: Jason W. Osborne
Publisher: SAGE Publications
ISBN: 1506302750
Category : Psychology
Languages : en
Pages : 489

Book Description
In a conversational tone, Regression & Linear Modeling provides conceptual, user-friendly coverage of the generalized linear model (GLM). Readers will become familiar with applications of ordinary least squares (OLS) regression, binary and multinomial logistic regression, ordinal regression, Poisson regression, and loglinear models. Author Jason W. Osborne returns to certain themes throughout the text, such as testing assumptions, examining data quality, and, where appropriate, nonlinear and non-additive effects modeled within different types of linear models.

Clinical Prediction Models

Clinical Prediction Models PDF Author: Ewout W. Steyerberg
Publisher: Springer
ISBN: 3030163997
Category : Medical
Languages : en
Pages : 574

Book Description
The second edition of this volume provides insight and practical illustrations on how modern statistical concepts and regression methods can be applied in medical prediction problems, including diagnostic and prognostic outcomes. Many advances have been made in statistical approaches towards outcome prediction, but a sensible strategy is needed for model development, validation, and updating, such that prediction models can better support medical practice. There is an increasing need for personalized evidence-based medicine that uses an individualized approach to medical decision-making. In this Big Data era, there is expanded access to large volumes of routinely collected data and an increased number of applications for prediction models, such as targeted early detection of disease and individualized approaches to diagnostic testing and treatment. Clinical Prediction Models presents a practical checklist that needs to be considered for development of a valid prediction model. Steps include preliminary considerations such as dealing with missing values; coding of predictors; selection of main effects and interactions for a multivariable model; estimation of model parameters with shrinkage methods and incorporation of external data; evaluation of performance and usefulness; internal validation; and presentation formatting. The text also addresses common issues that make prediction models suboptimal, such as small sample sizes, exaggerated claims, and poor generalizability. The text is primarily intended for clinical epidemiologists and biostatisticians. Including many case studies and publicly available R code and data sets, the book is also appropriate as a textbook for a graduate course on predictive modeling in diagnosis and prognosis. While practical in nature, the book also provides a philosophical perspective on data analysis in medicine that goes beyond predictive modeling. Updates to this new and expanded edition include: • A discussion of Big Data and its implications for the design of prediction models • Machine learning issues • More simulations with missing ‘y’ values • Extended discussion on between-cohort heterogeneity • Description of ShinyApp • Updated LASSO illustration • New case studies

Recent Advances in Applied Science and Engineering

Recent Advances in Applied Science and Engineering PDF Author: Dr. Ankita Saini
Publisher: Writers Corner Publication
ISBN:
Category : Antiques & Collectibles
Languages : en
Pages : 349

Book Description
"Recent Advances in Applied Science and Engineering" represents a thorough and state-of-the-art exploration of the most recent developments across various disciplines within the fields of applied science and engineering. Each chapter provides in-depth analyses of emerging technologies, methodologies, and discoveries, emphasizing the practical applications of these advancements to address real-world challenges. Furthermore, the book not only showcases recent achievements but also engages in discussions about potential future directions and challenges in applied science and engineering. This forward-looking approach offers readers a roadmap for upcoming research areas and opportunities for innovation. Serving as an indispensable resource, this book provides a comprehensive overview of the latest developments in these rapidly evolving fields. Whether a researcher or student, readers will find this book to be a valuable reference for staying informed about the most recent advancements shaping the future of applied science and engineering.