一般化線形モデル入門

The book "一般化線形モデル入門" (Introduction to Generalized Linear Models) by Annette J. Dobson, translated by 田中豊, 森川敏彦, 山中竹春, and 富田誠, is a comprehensive guide to generalized linear models (GLMs) in statistics. Here is a detailed overview of the book:

Key Themes

• Unified Framework for Statistical Methods: The book provides a unified framework for various statistical methods, including regression analysis, t-tests, ANOVA, ANCOVA, logistic regression, log-linear models, survival analysis, and generalized estimating equations (GEEs) .
• Statistical Theory and Applications: It covers both theoretical aspects and practical applications of GLMs, making it suitable for both beginners and advanced statisticians in various fields, particularly in medicine .

Plot Summary

The book is structured into several chapters that cover the following topics:

1. 序論 (Chapter 1: Introduction): An introduction to the importance and applications of GLMs.
2. モデルの当てはめ (Chapter 2: Model Application): Practical applications of GLMs in different contexts.
3. 指数型分布族と一般化線形モデル (Chapter 3: Exponential Family and Generalized Linear Models): Theoretical foundations of GLMs, focusing on the exponential family of distributions.
4. 推定 (Chapter 4: Estimation): Methods for estimating parameters in GLMs.
5. 推測 (Chapter 5: Inference): Techniques for making inferences from GLM models.
6. 正規線形モデル (Chapter 6: Normal Linear Models): A review of normal linear models as a special case of GLMs.
7. 2値変数とロジスティック回帰 (Chapter 7: Binary Variables and Logistic Regression): Detailed discussion on logistic regression for binary outcomes.
8. 名義および順序ロジスティック回帰 (Chapter 8: Nominal and Ordinal Logistic Regression): Extensions of logistic regression for nominal and ordinal outcomes.
9. 計数データ、ポアソン回帰および対数線形モデル (Chapter 9: Count Data, Poisson Regression, and Log-Linear Models): Methods for count data and log-linear models.
10. 生存時間解析 (Chapter 10: Survival Analysis): Techniques for analyzing survival data.
11. クラスターデータおよび経時データ (Chapter 11: Clustered Data and Longitudinal Data): Handling clustered and longitudinal data using GLMs.

Critical Reception

The book has been well-received for its comprehensive coverage of GLMs and their applications. It is particularly noted for its clarity in explaining complex statistical concepts, making it accessible to a wide range of readers, from beginners to advanced practitioners in the field of statistics and medicine .

Availability

The book is available in various online bookstores and can be purchased in both new and used conditions .