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Visualizing Linear Models

  • Textbook
  • © 2021

Overview

Authors:
  1. W. D. Brinda

    1. Statistics and Data Science, Yale University, New Haven, USA

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  • Features ready-made exercises using a flash card app, available for print or digital use, to improve retention of material

  • Offers a targeted review of relevant, key background topics

  • Presents the fundamentals of visualizing linear models in a compact volume, ideal for a one-semester course

  • Includes supplementary material: sn.pub/extras

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xvi
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  2. Background: Linear Algebra

    • W. D. Brinda
    Pages 1-37

  3. Least-Squares Linear Regression

    • W. D. Brinda
    Pages 39-61

  4. Background: Random Vectors

    • W. D. Brinda
    Pages 63-80

  5. Linear Models

    • W. D. Brinda
    Pages 81-102

  6. Background: Normality

    • W. D. Brinda
    Pages 103-111

  7. Normal Errors

    • W. D. Brinda
    Pages 113-132

  8. Back Matter

    Pages 133-167
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Keywords

About this book

This book provides a visual and intuitive coverage of the core theory of linear models. Designed to develop fluency with the underlying mathematics and to build a deep understanding of the principles, it's an excellent basis for a one-semester course on statistical theory and linear modeling for intermediate undergraduates or graduate students.

Three chapters gradually develop the essentials of linear model theory. They are each preceded by a review chapter that covers a foundational prerequisite topic. This classroom-tested work explores two distinct and complementary types of visualization: the “observations picture” and the “variables picture.” To improve retention of material, this book is supplemented by a bank of ready-made practice exercises for students. These are available for digital or print use.

Reviews

“The author emphasizes didactic aspects in the presentation of the material, especially by utilizing colors and graphs at many places.” (Thorsten Dickhaus, zbMATH 1468.62001, 2021)

Authors and Affiliations

  • Statistics and Data Science, Yale University, New Haven, USA

    W. D. Brinda

About the author

Dr. W. D. Brinda is a researcher and lecturer for the department of statistics and data science at Yale University. His research interests include simulated annealing, third moment tensor methods, adaptive estimation, and developing visual ways of understanding statistical concepts. His coauthored work has been published in Statistics and Probability Letters (2019) and IEEE Transactions on Information Theory (2019), among others.

Bibliographic Information

  • Book Title: Visualizing Linear Models

  • Authors: W. D. Brinda

  • DOI: https://doi.org/10.1007/978-3-030-64167-2

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021

  • Hardcover ISBN: 978-3-030-64166-5Published: 25 February 2021

  • Softcover ISBN: 978-3-030-64169-6Published: 25 February 2022

  • eBook ISBN: 978-3-030-64167-2Published: 24 February 2021

  • Edition Number: 1

  • Number of Pages: XVI, 167

  • Number of Illustrations: 20 b/w illustrations, 23 illustrations in colour

  • Topics: Statistical Theory and Methods, Linear Algebra

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