ABSTRACT

Nonparametric Models for Longitudinal Data with Implementations in R presents a comprehensive summary of major advances in nonparametric models and smoothing methods with longitudinal data. It covers methods, theories, and applications that are particularly useful for biomedical studies in the era of big data and precision medicine. It also provides flexible tools to describe the temporal trends, covariate effects and correlation structures of repeated measurements in longitudinal data.

This book is intended for graduate students in statistics, data scientists and statisticians in biomedical sciences and public health. As experts in this area, the authors present extensive materials that are balanced between theoretical and practical topics. The statistical applications in real-life examples lead into meaningful interpretations and inferences.

Features:

• Provides an overview of parametric and semiparametric methods
• Shows smoothing methods for unstructured nonparametric models
• Covers structured nonparametric models with time-varying coefficients
• Discusses nonparametric shared-parameter and mixed-effects models
• Presents nonparametric models for conditional distributions and functionals
• Illustrates implementations using R software packages
• Includes datasets and code in the authors’ website
• Contains asymptotic results and theoretical derivations

part I|2 pages

Introduction and Review

chapter 1|30 pages

Introduction

chapter 2|32 pages

Parametric and Semiparametric Methods

part II|2 pages

Unstructured Nonparametric Models

chapter 3|30 pages

Kernel and Local Polynomial Methods

chapter 4|26 pages

Basis Approximation Smoothing Methods

chapter 5|24 pages

Penalized Smoothing Spline Methods

part III|2 pages

Time-Varying Coefficient Models

chapter 6|44 pages

Smoothing with Time-Invariant Covariates

chapter 7|48 pages

The One-Step Local Smoothing Methods

chapter 8|18 pages

The Two-Step Local Smoothing Methods

chapter 9|42 pages

Global Smoothing Methods

part IV|2 pages

Shared-Parameter and Mixed-Effects Models

chapter 10|60 pages

Models for Concomitant Interventions

chapter 11|40 pages

Nonparametric Mixed-Effects Models

part V|2 pages

Nonparametric Models for Distributions

chapter 12|38 pages

Unstructured Models for Distributions

chapter 13|28 pages

Time-Varying Transformation Models - I

chapter 14|40 pages

Time-Varying Transformation Models - II

chapter 15|18 pages

Tracking with Mixed-Effects Models