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Causal Inference in R

You're reading from   Causal Inference in R Decipher complex relationships with advanced R techniques for data-driven decision-making

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Product type Paperback
Published in Nov 2024
Publisher Packt
ISBN-13 9781837639021
Length 382 pages
Edition 1st Edition
Languages
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Author (1):
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Subhajit Das Subhajit Das
Author Profile Icon Subhajit Das
Subhajit Das
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Table of Contents (21) Chapters Close

Preface 1. Part 1:Foundations of Causal Inference
2. Chapter 1: Introducing Causal Inference FREE CHAPTER 3. Chapter 2: Unraveling Confounding and Associations 4. Chapter 3: Initiating R with a Basic Causal Inference Example 5. Part 2: Practical Applications and Core Methods
6. Chapter 4: Constructing Causality Models with Graphs 7. Chapter 5: Navigating Causal Inference through Directed Acyclic Graphs 8. Chapter 6: Employing Propensity Score Techniques 9. Chapter 7: Employing Regression Approaches for Causal Inference 10. Chapter 8: Executing A/B Testing and Controlled Experiments 11. Chapter 9: Implementing Doubly Robust Estimation 12. Part 3: Advanced Topics and Cutting-Edge Methods
13. Chapter 10: Analyzing Instrumental Variables 14. Chapter 11: Investigating Mediation Analysis 15. Chapter 12: Exploring Sensitivity Analysis 16. Chapter 13: Scrutinizing Heterogeneity in Causal Inference 17. Chapter 14: Harnessing Causal Forests and Machine Learning Methods 18. Chapter 15: Implementing Causal Discovery in R 19. Index 20. Other Books You May Enjoy

What is doubly robust estimation?

Like many statistical methods, DR estimation addresses the challenge of obtaining unbiased estimates when faced with potential model misspecification, offering protection against errors in either the outcome model or the propensity score model. In causal inference, DR estimation uses two models: the exposure/treatment model, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:m="http://schemas.openxmlformats.org/officeDocument/2006/math"><mml:mi mathvariant="bold-italic">e</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="bold-italic">H</mml:mi><mml:mo>)</mml:mo></mml:math>, and the outcome model, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:m="http://schemas.openxmlformats.org/officeDocument/2006/math"><mml:mi mathvariant="bold-italic">E</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="bold-italic">Y</mml:mi><mml:mo>∣</mml:mo><mml:mi mathvariant="bold-italic">H</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="bold-italic">T</mml:mi><mml:mo>)</mml:mo></mml:math>, to ensure accurate results. DR provides reliability even if one model is incorrect.

Let’s dive deeper and learn more about them.

The DR estimator leverages two strengths: accurately modeling the outcome based on covariates (outcome model) and predicting treatment distribution (exposure/treatment model). Remarkably, only one needs to be correct for a reliable causal estimate (we’ll explain why later). This makes the DR estimator a failsafe tool in causal analysis. This dual-model approach is particularly beneficial in complex data analysis, providing a safety net that enhances the reliability...

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