Visualizing Linear Models
Springer International Publishing (Verlag)
978-3-030-64166-5 (ISBN)
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.
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.
Preface.- Review: Linear Algebra.- Least-Squares Regression.- Review: Random Vectors.- The Linear Model.- Review: Normality.- Normal Errors.
"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)
“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)
| Erscheinungsdatum | 01.03.2021 |
|---|---|
| Zusatzinfo | XVI, 167 p. 43 illus., 23 illus. in color. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 402 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik | |
| Schlagworte | least-squares fitting • linear algebra • linear model • linear regression • random vectors • Statistical Theory |
| ISBN-10 | 3-030-64166-X / 303064166X |
| ISBN-13 | 978-3-030-64166-5 / 9783030641665 |
| Zustand | Neuware |
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