Causal Mechanisms and Process Tracing

Similar documents
Revision list for Pearl s THE FOUNDATIONS OF CAUSAL INFERENCE

An Introduction to Causal Mediation Analysis. Xu Qin University of Chicago Presented at the Central Iowa R User Group Meetup Aug 10, 2016

Causal mediation analysis: Definition of effects and common identification assumptions

ANALYTIC COMPARISON. Pearl and Rubin CAUSAL FRAMEWORKS

CAUSALITY. Models, Reasoning, and Inference 1 CAMBRIDGE UNIVERSITY PRESS. Judea Pearl. University of California, Los Angeles

New developments in structural equation modeling

EC 331: Research in Applied Economics

From Causality, Second edition, Contents

Outline

Modern Mediation Analysis Methods in the Social Sciences

Mixing Methods: A Bayesian Approach

Causality II: How does causal inference fit into public health and what it is the role of statistics?

Astronomy 301G: Revolutionary Ideas in Science. Getting Started. What is Science? Richard Feynman ( CE) The Uncertainty of Science

Research Design - - Topic 19 Multiple regression: Applications 2009 R.C. Gardner, Ph.D.

Causal Mechanisms Short Course Part II:

Casual Mediation Analysis

Bayesian Reasoning. Adapted from slides by Tim Finin and Marie desjardins.

Statistical Analysis of Causal Mechanisms

The decision theoretic approach to causal inference OR Rethinking the paradigms of causal modelling

SC705: Advanced Statistics Instructor: Natasha Sarkisian Class notes: Introduction to Structural Equation Modeling (SEM)

Causal Inference from Experimental Data

Modeling Mediation: Causes, Markers, and Mechanisms

Causal Directed Acyclic Graphs

SEM REX B KLINE CONCORDIA D. MODERATION, MEDIATION

Role and treatment of categorical variables in PLS Path Models for Composite Indicators

Estimating direct effects in cohort and case-control studies

Investigating mediation when counterfactuals are not metaphysical: Does sunlight exposure mediate the effect of eye-glasses on cataracts?

Methods for inferring short- and long-term effects of exposures on outcomes, using longitudinal data on both measures

Reasoning with Uncertainty

Statistical Analysis of Causal Mechanisms for Randomized Experiments

Experimental Designs for Identifying Causal Mechanisms

Changes in properties and states of matter provide evidence of the atomic theory of matter

Causal Model Selection Hypothesis Tests in Systems Genetics

Assessment Schedule 2014 Geography: Demonstrate understanding of how interacting natural processes shape a New Zealand geographic environment (91426)

Bounding the Probability of Causation in Mediation Analysis

Energy and Electromagnetism

ONLINE APPENDICES Emotions and the Micro-Foundations of Commitment Problems

Gov 2002: 4. Observational Studies and Confounding

Correlation and Regression Bangkok, 14-18, Sept. 2015

The Markov equivalence class of the mediation model. Felix Thoemmes, Wang Liao, & Marina Yamasaki Cornell University

Path analysis for discrete variables: The role of education in social mobility

Causal inference. Gary Goertz Kroc Institute for International Peace Studies University of Notre Dame Spring 2018

Statistical and Inductive Inference by Minimum Message Length

Abstract Title Page. Title: Degenerate Power in Multilevel Mediation: The Non-monotonic Relationship Between Power & Effect Size

Mediation analyses. Advanced Psychometrics Methods in Cognitive Aging Research Workshop. June 6, 2016

Help! Statistics! Mediation Analysis

Decision theory. 1 We may also consider randomized decision rules, where δ maps observed data D to a probability distribution over

Causal Mediation Analysis in R. Quantitative Methodology and Causal Mechanisms

II Scientific Method. II Scientific Method. A. Introduction. A. Introduction. B. Knowledge. B. Knowledge. Attainment of knowledge

REVIEW 8/2/2017 陈芳华东师大英语系

Identification and Inference in Causal Mediation Analysis

Rigorous Science - Based on a probability value? The linkage between Popperian science and statistical analysis

7.2 One-Sample Correlation ( = a) Introduction. Correlation analysis measures the strength and direction of association between

Understanding Aha! Moments

Counterfactual Reasoning in Algorithmic Fairness

Flexible mediation analysis in the presence of non-linear relations: beyond the mediation formula.

OUTLINE CAUSAL INFERENCE: LOGICAL FOUNDATION AND NEW RESULTS. Judea Pearl University of California Los Angeles (

Rigorous Science - Based on a probability value? The linkage between Popperian science and statistical analysis

Mapping Project. Name: Theme:

Introduction to Statistical Inference

Econometric Causality

Statistical Methods for Causal Mediation Analysis

Learning in Bayesian Networks

Nature s Art Village

Poisson Distribution

UNIT 1: NATURE OF SCIENCE

3. When a researcher wants to identify particular types of cases for in-depth investigation; purpose less to generalize to larger population than to g

Qualitative and Quantitative Research Methods

Econ 300/QAC 201: Quantitative Methods in Economics/Applied Data Analysis. 12th Class 6/23/10

Physical World Concepts : Embedded Inquiry

HYPOTHESIS TESTING. Hypothesis Testing

Dynamic Causal Modelling for fmri

Guilty of committing ecological fallacy?

Mathematical Logic. Introduction to Reasoning and Automated Reasoning. Hilbert-style Propositional Reasoning. Chiara Ghidini. FBK-IRST, Trento, Italy

Seminar how does one know if their approach/perspective is appropriate (in terms of being a student, not a professional)

Comments on The Role of Large Scale Assessments in Research on Educational Effectiveness and School Development by Eckhard Klieme, Ph.D.

Bayesian networks as causal models. Peter Antal

Science Notebook Motion, Force, and Models

Technical Track Session I: Causal Inference

Causal Realism and Causal Analysis in the Social Sciences. Presentation by Daniel Little University of Michigan-Dearborn

Introduction. Consider a variable X that is assumed to affect another variable Y. The variable X is called the causal variable and the

Statistical Methods in Particle Physics Lecture 1: Bayesian methods

Conceptual overview: Techniques for establishing causal pathways in programs and policies

Unpacking the Black-Box: Learning about Causal Mechanisms from Experimental and Observational Studies

Research Note: A more powerful test statistic for reasoning about interference between units

Causal State Theory and Graphical Causal Models

Rigorous Science - Based on a probability value? The linkage between Popperian science and statistical analysis

Modelling environmental systems

Core Courses for Students Who Enrolled Prior to Fall 2018

Critical Thinking Review

Concepts and Challenges in Physical Science 2009 Correlated to Tennessee Curriculum Standards Physical Science Grades 9-12

Decision Theory Intro: Preferences and Utility

Combining multiple observational data sources to estimate causal eects

Research Design: Causal inference and counterfactuals

Unpacking the Black-Box of Causality: Learning about Causal Mechanisms from Experimental and Observational Studies

Mediation and Interaction Analysis

Learning Causal Direction from Transitions with Continuous and Noisy Variables

Introduction to Artificial Intelligence (AI)

Linkage Methods for Environment and Health Analysis General Guidelines

Transcription:

Causal Mechanisms and Process Tracing Department of Government London School of Economics and Political Science

1 Review 2 Mechanisms 3 Process Tracing

1 Review 2 Mechanisms 3 Process Tracing

Review Case Studies Many uses of case studies In case comparisons (last week), we focused on scoring cases on variables to test theories between cases

Theory testing involves: Between-case comparisons, or Across-time comparisons, or Between-case & across-time comparisons Within-case comparisons at a lower level of analysis

Theory testing involves: Between-case comparisons, or Across-time comparisons, or Between-case & across-time comparisons Within-case comparisons at a lower level of analysis

1 Review 2 Mechanisms 3 Process Tracing

Four (or five) principles of causality 1 1 Correlation 2 Nonconfounding 3 Direction ( temporal precedence ) 4 Mechanism 5 (Appropriate level of analysis) 1 From Kellstedt and Whitten

D Y

A D Y

A B D Y

Z A B D Y

Z Confounding A B D Y

Z A B D Y

Four (or five) principles of causality 1 1 Correlation 2 Nonconfounding 3 Direction ( temporal precedence ) 4 Mechanism 5 (Appropriate level of analysis) 1 From Kellstedt and Whitten

Four (or five) principles of causality 1 1 Correlation 2 Nonconfounding 3 Direction ( temporal precedence ) 4 Mechanism 5 (Appropriate level of analysis) 1 From Kellstedt and Whitten

Mediators/Mechanisms Definition: the generative mechanism through which the focal independent variable is able to influence the dependent variable of interest 2 Dropping the tautology, the pathway(s) or process(es) by which an effect is produced Allows us to distinguish: Direct effects Indirect effects 2 p. 1173 from Baron, R.M., and Kenny, D.A. 1986. The Moderator-Mediator Variable Distinction in Social Psychological Research: Conceptual, Strategic, and Statistical Considerations. Journal of Personality and Social Psychology 51(6): 1173 1182.

Z A B D Y

Z A B D M Y

Z A B D M Y

Z A B D M Y

Z A B D M Y

Two Uses of Studying Mechanisms 1 Determine how a causal effect comes about 2 Establish seemingly disconnected cause and outcome through a chain of smaller causal effects

1. The how of the why A causal effect is an explanation of why something occurs Mechanisms explain how that effect occurs

Example: Smoking We know that smoking kills. How does this effect occur? Source: c Wellcome Trust

2. Sum of small effects We may be able to establish a number of small linkages The product (multiplication) of these effects is the total effect

2. Sum of small effects We may be able to establish a number of small linkages The product (multiplication) of these effects is the total effect Two ways to conceptualize this: Deterministic causality Probabilistic causality

Pearl s Front Door Criterion Same rules for understanding mechanisms as causes generally Mechanisms must be: D M Y exhaustive isolated

Pearl s Front Door Criterion Same rules for understanding mechanisms as causes generally Mechanisms must be: D M2 M1 Y exhaustive isolated

Pearl s Front Door Criterion Same rules for understanding mechanisms as causes generally D M2 M1 Y Mechanisms must be: exhaustive isolated M3

Pearl s Front Door Criterion Same rules for understanding mechanisms as causes generally Mechanisms must be: exhaustive isolated Z D M2 M1 Y

Pearl s Front Door Criterion Same rules for understanding mechanisms as causes generally Mechanisms must be: D M2 Y exhaustive isolated

Do We Care About Mechanisms? Write for two minutes Is understanding a mechanism necessary for causal inference? When should we be satisfied that we have bottomed out a causal process?

1 Review 2 Mechanisms 3 Process Tracing

Process Tracing Definition: analysis of processes of change that seeks to uncover causal mechanisms and causal sequences 3 Single-case method Focused on gathering CPOs Sequence of counterfactuals 3 p.300 from Brady, H.E., and Collier, D. 2004. Rethinking Social Inquiry. Rowman & Littlefield.

Causal Process Observations Definition: An insight or piece of data that provides information about the context, process, or mechanism, and that contributes distinctive leverage in causal inference 4 Might be used to: Inductively generate hypotheses Deductively test a chain of causal relationships 4 Brady and Collier 2004, p.277

Inductive Process Tracing Broad search for sequential steps necessary for an event to occur No a priori expectations to test Analogous to detective work Source: Public Domain

Deductive Process Tracing Sequence of within-case hypothesis tests Theory or extant evidence guide chosen comparisons May iterate if there is no or very weak evidence for one s hypothesis(es)

Four Process Tracing Tests 5 Broadly consistent with Neyman-Pearson hypothesis testing. 1 Straw-in-the-wind test 2 Hoop test 3 Smoking gun test 4 Doubly decisive test 5 Note: I am not a fan of this typology.

Major Caveat: Uncertainty Our uncertainty is a function of n

Major Caveat: Uncertainty Our uncertainty is a function of n Process-tracing is a single-case design Reduce uncertainty by finding within-case variation Accept only high certainty about specific case

Major Caveat: Uncertainty Our uncertainty is a function of n Process-tracing is a single-case design Reduce uncertainty by finding within-case variation Accept only high certainty about specific case Can we gather within-case DSOs at a lower level of analysis to better understand causality?

Major Caveat: Uncertainty Our uncertainty is a function of n Process-tracing is a single-case design Reduce uncertainty by finding within-case variation Accept only high certainty about specific case Can we gather within-case DSOs at a lower level of analysis to better understand causality? Local-level geographical variation Across-time variation