Linear Models and Regression with R: An Integrated Approach: 11 (Series On Multivariate Analysis) - Hardcover

Debasis Sengupta; Sreenivasa Rao Jammalamadaka

Hardcover

ISBN 10: 9811200408 ISBN 13: 9789811200403

Verlag: World Scientific Publishing Co Pte Ltd, 2019

Inhaltsangabe

Starting with the basic linear model where the design and covariance matrices are of full rank, this book demonstrates how the same statistical ideas can be used to explore the more general linear model with rank-deficient design and/or covariance matrices. The unified treatment presented here provides a clearer understanding of the general linear model from a statistical perspective, thus avoiding the complex matrix-algebraic arguments that are often used in the rank-deficient case. Elegant geometric arguments are used as needed.

The book has a very broad coverage, from illustrative practical examples in Regression and Analysis of Variance alongside their implementation using R, to providing comprehensive theory of the general linear model with 181 worked-out examples, 227 exercises with solutions, 152 exercises without solutions (so that they may be used as assignments in a course), and 320 up-to-date references.

This completely updated and new edition of Linear Models: An Integrated Approach includes the following features:

• Applications with data sets, and their implementation in R,
• Comprehensive coverage of regression diagnostics and model building,
• Coverage of other special topics such as collinearity, stochastic and inequality constraints, misspecified models, etc.,
• Use of simple statistical ideas and interpretations to explain advanced concepts, and simpler proofs of many known results,
• Discussion of models covering mixed-effects/variance components, spatial, and time series data with partially unknown dispersion matrix,
• Thorough treatment of the singular linear model, including the case of multivariate response,
• Insight into updates in the linear model, and their connection with diagnostics, design, variable selection, Kalman filter, etc.,
• Extensive discussion of the foundations of linear inference, along with linear alternatives to least squares.

Über diesen Titel

Über die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.

Details zur Ausgabe

• Verlag: World Scientific Publishing Co Pte Ltd
• Erscheinungsdatum: 2019
• Sprache: Englisch
• ISBN 10: 9811200408
• ISBN 13: 9789811200403
• Einband: Tapa dura
• Anzahl der Seiten: 774
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar