ロバスト混合モデル解析 Robust Mixed Model Analysis

Jiang, Jiming

World Scientific Publishing Co Pte Ltd（2019/05発売）

• 製本 Hardcover:ハードカバー版／ページ数 270 p.
• 言語 ENG
• 商品コード 9789814733830
• DDC分類 519.5

Full Description

Mixed-effects models have found broad applications in various fields. As a result, the interest in learning and using these models is rapidly growing. On the other hand, some of these models, such as the linear mixed models and generalized linear mixed models, are highly parametric, involving distributional assumptions that may not be satisfied in real-life problems. Therefore, it is important, from a practical standpoint, that the methods of inference about these models are robust to violation of model assumptions. Fortunately, there is a full scale of methods currently available that are robust in certain aspects. Learning about these methods is essential for the practice of mixed-effects models.This research monograph provides a comprehensive account of methods of mixed model analysis that are robust in various aspects, such as to violation of model assumptions, or to outliers. It is suitable as a reference book for a practitioner who uses the mixed-effects models, and a researcher who studies these models. It can also be treated as a graduate text for a course on mixed-effects models and their applications.

Contents

Introduction; Generalized Estimating Equations; Non-Gaussian Linear Mixed Models; Robust Tests; Observed Best Prediction; Model Selection; Resampling Methods; Semi-Parametric and Non-Parametric Mixed Models; Quantile and Rank-Based Inference;