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Linear Model and Extensions de Peng Ding

Linear Model and Extensions

Autor Peng Ding
en Limba Engleză Hardback – 30 oct 2026
The linear model and its extensions play fundamental roles in both theoretical and applied statistics, due to their transparency and interpretability in modeling empirical data. This textbook, based on the author’s course on linear modeling at UC Berkeley taught over the past ten years, only requires basic knowledge of linear algebra, probability theory, and statistical inference. It assumes minimal knowledge of linear modeling, and reviews basic linear algebra, probability, and statistics in the appendix. It covers linear regression, logistic regression, Poisson regression, generalized estimating equation, quantile regression, and Cox regression, which are widely used statistical models across many areas. It balances rigorous theory, simulation, and data analysis.
Key Features:
  • All R code and data sets available at Harvard Dataverse
  • Includes over 200 exercises
  • Solutions manual available for instructors, upon request from the author
This book is suitable for advanced undergraduate or graduate-level courses on linear modeling, or graduate-level courses on generalized linear modeling. It can also be used as a reference for researchers who are searching for basic properties of the linear model and its extensions.
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Specificații

ISBN-13: 9781032824550
ISBN-10: 1032824557
Pagini: 442
Ilustrații: 126
Dimensiuni: 178 x 254 mm
Greutate: 0.98 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC

Public țintă

Postgraduate and Undergraduate Advanced

Notă biografică

Peng Ding is a Professor in the Department of Statistics at UC Berkeley. His research focuses on causal inference and its applications.

Cuprins

Part I Introduction 1. Motivations for Statistical Models 2. Ordinary Least Squares with a Univariate Covariate Part II Ordinary Least Squares and Statistical Inference 3. Ordinary Least Squares with Multiple Covariates 4. Gauss–Markov Model and Gauss–Markov Theorem 5. Normal Linear Model: Inference and Prediction 6. Asymptotic Inference in OLS: Eicker–Huber–White (EHW) robust standard error Part III Interpretation of Ordinary Least Squares Based on Partial Regressions 7. Frisch–Waugh–Lovell Theorem 8. Applications of the Frisch–Waugh–Lovell Theorem 9. Cochran’s Formula and Omitted-Variable Bias Part IV Model Fitting, Checking, and Misspecification 10. Multiple Correlation Coefficient 11. Leverage Scores and Leave-One-Out Formulas 12. Population Ordinary Least Squares and Misspecified Linear Model Part V Overfitting, Regularization, and Model Selection 13. Perils of Overfitting 14. Ridge Regression 15. Lasso VI Transformation and Weighting 16. Transformations in OLS 17. Interactions in OLS 18. Restricted OLS 19. Weighted Least Squares Part VII Generalized Linear Models 20. Logistic Regression for Binary Outcomes 21. Logistic Regressions for Categorical Outcomes 22. Regression Models for Count Outcomes 23. Generalized Linear Models: A Unification 24. Misspecified Generalized Linear Models: Restricted Mean Models and Sandwich Covariance Matrix 25. Generalized Estimating Equation for Correlated Multivariate Data Part VIII Beyond Modeling the Conditional Mean 26. Quantile Regression 27. Modeling Time-to-Event Outcomes 

Descriere

This textbook, based on the author’s course on linear modeling at UC Berkeley taught over the past ten years, only requires basic knowledge of linear algebra, probability theory, and statistical inference. It assumes minimal knowledge of linear modeling, and reviews basic linear algebra, probability, and statistics in the appendix.