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Linear models and regression with R: an integrated approach

By: Contributor(s): Material type: TextTextSeries: Series on Multivariate Analysis ; Vol, 11Publication details: World Scientific Publishing 2023 New JerseyDescription: xxi, 750 p. : ill. Includes bibliographical references and indexesISBN:
  • 9780000988843
Subject(s): DDC classification:
  • 519.5360285513 S3L4
Summary: 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. https://www.worldscientific.com/worldscibooks/10.1142/11282#t=aboutBook
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Item type Current library Item location Collection Shelving location Call number Status Date due Barcode
Books Vikram Sarabhai Library Rack 28-B / Slot 1427 (0 Floor, East Wing) Non-fiction General Stacks 519.5360 S3L4 (Browse shelf(Opens below)) Available 206962

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.


https://www.worldscientific.com/worldscibooks/10.1142/11282#t=aboutBook

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