A Primer on Linear Models (Chapman & Hall/CRC Texts in Statistical Science) - Hardcover

Monahan, John F.

Hardcover

ISBN 10: 113846953X ISBN 13: 9781138469532

Verlag: Chapman and Hall/CRC, 2017

Über diesen Titel

Críticas:

"I found the book very helpful. … the result is very nice, very readable. In particular, I like the idea of avoiding leaps in the development and proofs, or referring to other sources for the details of the proofs. This is a useful well-written instructive book."
~International Statistical Review

"This work provides a brief, and also complete, foundation for the theory of basic linear models . . . can be used for graduate courses on linear models."
~Nicoleta Breaz, Zentralblatt Math

". . . well written . . . would serve well as the textbook for an introductory course in linear models, or as references for researchers who would like to review the theory of linear models."
~Justine Shults, Journal of Biopharmaceutical Statistics

Reseña del editor:

A Primer on Linear Models presents a unified, thorough, and rigorous development of the theory behind the statistical methodology of regression and analysis of variance (ANOVA). It seamlessly incorporates these concepts using non-full-rank design matrices and emphasizes the exact, finite sample theory supporting common statistical methods.

With coverage steadily progressing in complexity, the text first provides examples of the general linear model, including multiple regression models, one-way ANOVA, mixed-effects models, and time series models. It then introduces the basic algebra and geometry of the linear least squares problem, before delving into estimability and the GaussMarkov model. After presenting the statistical tools of hypothesis tests and confidence intervals, the author analyzes mixed models, such as two-way mixed ANOVA, and the multivariate linear model. The appendices review linear algebra fundamentals and results as well as Lagrange multipliers.

This book enables complete comprehension of the material by taking a general, unifying approach to the theory, fundamentals, and exact results of linear models.

Über diese Auflage

• Verlag: Chapman and Hall/CRC
• Erscheinungsdatum: 2017
• ISBN 10: 113846953X
• ISBN 13: 9781138469532
• Einband: Tapa dura
• Auflage: 1
• Anzahl der Seiten: 304