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An Introduction to Causal Inference

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  • Pearl Judea

    (University of California, Los Angeles)

Abstract

This paper summarizes recent advances in causal inference and underscores the paradigmatic shifts that must be undertaken in moving from traditional statistical analysis to causal analysis of multivariate data. Special emphasis is placed on the assumptions that underlie all causal inferences, the languages used in formulating those assumptions, the conditional nature of all causal and counterfactual claims, and the methods that have been developed for the assessment of such claims. These advances are illustrated using a general theory of causation based on the Structural Causal Model (SCM) described in Pearl (2000a), which subsumes and unifies other approaches to causation, and provides a coherent mathematical foundation for the analysis of causes and counterfactuals. In particular, the paper surveys the development of mathematical tools for inferring (from a combination of data and assumptions) answers to three types of causal queries: those about (1) the effects of potential interventions, (2) probabilities of counterfactuals, and (3) direct and indirect effects (also known as "mediation"). Finally, the paper defines the formal and conceptual relationships between the structural and potential-outcome frameworks and presents tools for a symbiotic analysis that uses the strong features of both. The tools are demonstrated in the analyses of mediation, causes of effects, and probabilities of causation.

Suggested Citation

  • Pearl Judea, 2010. "An Introduction to Causal Inference," The International Journal of Biostatistics, De Gruyter, vol. 6(2), pages 1-62, February.
    • Handle: RePEc:bpj:ijbist:v:6:y:2010:i:2:n:7
    DOI: 10.2202/1557-4679.1203
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    1. James Heckman & Salvador Navarro-Lozano, 2004. "Using Matching, Instrumental Variables, and Control Functions to Estimate Economic Choice Models," The Review of Economics and Statistics, MIT Press, vol. 86(1), pages 30-57, February.
    2. Michael E. Sobel, 1998. "Causal Inference in Statistical Models of the Process of Socioeconomic Achievement," Sociological Methods & Research, , vol. 27(2), pages 318-348, November.
    3. Hendry,David F. & Morgan,Mary S., 1997. "The Foundations of Econometric Analysis," Cambridge Books, Cambridge University Press, number 9780521588706.
    4. Guido W. Imbens & Jeffrey M. Wooldridge, 2009. "Recent Developments in the Econometrics of Program Evaluation," Journal of Economic Literature, American Economic Association, vol. 47(1), pages 5-86, March.
    5. Donald B. Rubin, 2005. "Causal Inference Using Potential Outcomes: Design, Modeling, Decisions," Journal of the American Statistical Association, American Statistical Association, vol. 100, pages 322-331, March.
    6. Michael E. Sobel, 2008. "Identification of Causal Parameters in Randomized Studies With Mediating Variables," Journal of Educational and Behavioral Statistics, , vol. 33(2), pages 230-251, June.
    7. J.-F. Richard, 1980. "Models with Several Regimes and Changes in Exogeneity," Review of Economic Studies, Oxford University Press, vol. 47(1), pages 1-20.
    8. Karim Chalak & Halbert White, 2007. "An Extended Class of Instrumental Variables for the Estimation of Causal Effects," Boston College Working Papers in Economics 692, Boston College Department of Economics, revised 30 Nov 2009.
    9. Cartwright,Nancy, 2007. "Hunting Causes and Using Them," Cambridge Books, Cambridge University Press, number 9780521860819.
    10. James J. Heckman & Edward Vytlacil, 2005. "Structural Equations, Treatment Effects, and Econometric Policy Evaluation," Econometrica, Econometric Society, vol. 73(3), pages 669-738, May.
    11. Greenland, S., 1999. "Relation of probability of causation to relative risk and doubling dose: A methodologic error that has become a social problem," American Journal of Public Health, American Public Health Association, vol. 89(8), pages 1166-1169.
    12. Elja Arjas & Jan Parner, 2004. "Causal Reasoning from Longitudinal Data," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 31(2), pages 171-187, June.
    13. Manski, Charles F, 1990. "Nonparametric Bounds on Treatment Effects," American Economic Review, American Economic Association, vol. 80(2), pages 319-323, May.
    14. Constantine E. Frangakis & Donald B. Rubin, 2002. "Principal Stratification in Causal Inference," Biometrics, The International Biometric Society, vol. 58(1), pages 21-29, March.
    15. Judea Pearl, 1998. "Graphs, Causality, and Structural Equation Models," Sociological Methods & Research, , vol. 27(2), pages 226-284, November.
    16. Cartwright,Nancy, 2007. "Hunting Causes and Using Them," Cambridge Books, Cambridge University Press, number 9780521677981.
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