Applied Examples

This section provides illustrative examples of application of M-estimators. This includes the replication of examples from textbooks and published scientific articles. These examples include built-in estimating equations and use of user-built estimating equations.

• Ross et al. (2024): Introduction to M-estimation
  • Setup
  • Example 1: Logistic Regression
  • Example 2: Estimating the marginal risk difference
  • Example 3: Outcome misclassification
• Zivich et al. (2022): Delicatessen Publication
  • Setup
  • Case Study 1: Linear Regression
  • Case Study 2: Dose-Response Curve
  • Case Study 3: Standardization to external population
• Cole et al. (2023): Fusion Designs
  • Setup
  • Case 1: Transporting the proportion
  • Case 2: Estimating a Misclassified Proportion
  • Case 3: Estimating a Misclassified and Transported Proportion
• Boos & Stefanski (2013): M-Estimation (Estimating Equations)
  • Setup
  • 7.2 The Basic Approach
  • 7.4 Nonsmooth Estimating Functions
  • 7.5 Regression M-estimators
• Bonate (2011): Pharmacokinetic-Pharmacodynamic Modeling and Simulations
  • Setup
  • Chapter 11: Generalized Linear Models and Its Extensions
• Hernan & Robins (2023): Causal Inference with Models
  • Setup
  • Chapter 12: IP weighting and marginal structural models
  • Chapter 13: Standardization and the Parametric G-Formula
  • Chapter 14: G-Estimation of Structural Nested Models
• Morris et al. (2022): Precision in Randomized Trials
  • Setup
  • Standardization
  • Inverse Probability Weighting
• Generalized Additive Model
  • Setup
  • Implementing a GAM

Code and Issue Tracker

Please report any bugs, issues, or feature requests on GitHub at pzivich/Delicatessen.

Otherwise, you may contact me via email (gmail: zivich.5).