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Regression Analysis

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May 1, 2024 Updated May 9, 2025 19 minute read

Regression analysis is a powerful statistical method used to examine the relationship between variables. At its core, it seeks to understand how a dependent variable (the outcome you're trying to predict or explain) changes when one or more independent variables (the factors believed to influence the outcome) are altered. It's a fundamental tool for researchers, analysts, and decision-makers across a multitude of fields, allowing them to model, predict, and understand complex phenomena.

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Reading list

We've selected 14 books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Regression Analysis.
Provides a comprehensive and current introduction to the foundations of linear regression analysis. It is widely used as a textbook in academic institutions and is suitable for gaining a broad understanding. The latest edition includes new material on generalized regression techniques and updated examples.
A solid reference book that covers a wide range of theoretical aspects in regression analysis. While extensive, some users note the code examples might be in a less common dialect. It valuable resource for deepening understanding and is often used at the undergraduate and graduate levels.
Provides a practical and engaging introduction to regression analysis and other statistical methods, focusing on real-world data and research questions. It's suitable for a broad audience and emphasizes the importance of data visualization and model checking.
Emphasizes the practical application of regression analysis through numerous examples. It's an excellent resource for understanding how to perform regression and interpret the results, making it suitable for both broad understanding and practical application. The focus is on exploratory data analysis rather than just theory.
Offers in-depth coverage of regression analysis and generalized linear models with a focus on applications, particularly in the social sciences. It balances theoretical concepts with practical examples and is suitable for both students and researchers. The latest edition includes new chapters on mixed-effects models.
A more advanced text covering a wide range of statistical learning techniques, including various forms of regression. It provides a deeper theoretical understanding and key reference for researchers and professionals in the field. It is more mathematically rigorous than 'An Introduction to Statistical Learning'.
Focuses on developing a comprehensive strategy for regression modeling, covering various types of regression models and emphasizing the importance of model validation and interpretation. It's a valuable resource for practitioners and researchers building complex regression models.
A more accessible follow-up to 'Mostly Harmless Econometrics', this book focuses on key methods for causal inference, including regression-based approaches, with a strong emphasis on intuition and examples. It's an excellent resource for understanding how to use regression to answer causal questions.
A long-standing and well-regarded text that provides a thorough introduction to applied regression analysis. It balances theory and examples and has been a popular choice for practitioners for many years. While not the most recent, its content remains relevant for a solid understanding.
While not solely about regression, this book crucial resource for understanding causal inference, a key application of regression analysis in many fields. It provides a rigorous framework for thinking about causality and is essential for anyone using regression to draw causal conclusions.
Provides a practical introduction to statistical concepts relevant to data science, including regression. It focuses on the 'how' and 'why' using R and Python, making it accessible to those with a programming background but limited statistical training. It's a good resource for applying regression in a data science workflow.
Delves into nonparametric regression and generalized additive models, which offer more flexible approaches to modeling relationships between variables compared to traditional linear regression. It's suitable for those looking to explore more advanced and flexible modeling techniques.
Considered a classic in the field of linear models, this book provides a rigorous theoretical treatment of the subject, which forms the foundation for linear regression. It's a valuable reference for those seeking a deep mathematical understanding of linear models.
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