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Likelihood-based Causal Inference

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Learning from Data

Part of the book series: Lecture Notes in Statistics ((LNS,volume 112))

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Abstract

A method is given which uses subject matter assumptions to discriminate recursive models and thus point toward possible causal explanations. The assumptions alone do not specify any order among the variables — rather just a theoretical absence of direct association. We show how these assumptions, while not specifying any ordering, can when combined with the data through the likelihood function yield information about an underlying recursive order. We derive details of the method for multi-normal random variables.

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References

  • Dushnik, B. and Miller, E.W. (1941) Partially ordered sets. American Journal of Mathematics, 63, 600–610.

    Article  MathSciNet  Google Scholar 

  • Geweke, J. (1989) Bayesian inference in econometric models using Monte Carlo integration. Econometrica, 57, 1317–1339.

    Article  MathSciNet  MATH  Google Scholar 

  • Kiiveri, H. and Speed, T. (1982) Structural analysis of multivariate data: A review. Social Methodology (ed. Leinhardt, S.). Jossey-Bass, San Francisco.

    Google Scholar 

  • Lauritzen, S. L., Dawid, A. P., Larsen, B. N. and Leimer, H. G. (1990) Independence properties of directed Markov fields. Networks, 20, 491–505.

    Article  MathSciNet  MATH  Google Scholar 

  • Madigan, D. and Raftery, A. E. (1994) Model selection and accounting for model uncertainty in graphical models using Occam’s Window. J. Am. Statist. Ass., 89, 1535–1546.

    Article  MATH  Google Scholar 

  • Pearl, J. (1988) Probabilistic Reasoning in Intelligent Systems. Morgan and Kaufmann, San Mateo, CA.

    Google Scholar 

  • Pearl, J. and Verma, T. (1991) A theory of inferred causation. Principles of Knowledge Representation and reasoning: Proceedings of the Second International Conference, Morgan Kaufmann, San Mateo, CA.

    Google Scholar 

  • Spirtes, P, Glymour, C, and Scheines, R. (1993) Causation, prediction, and search. Lecture notes in statistics, 81. Springer-Verlag, New York.

    Google Scholar 

  • Stone, R. (1993) The assumptions on which causal inferences rest. J. Roy. Statist. Soc. B, 55, 455–466.

    MATH  Google Scholar 

  • Verma, T.S. and Pearl, J. (1990) Equivalence and synthesis of causal models. In Proceedings of the Conference on Uncertainty in AI, Cambridge, MA., July, 1990.

    Google Scholar 

  • Wermuth, N. (1980) Linear recursive equations, covariance selection and path analysis. J. Am. Statist. Ass., 75, 963–972.

    Article  MathSciNet  MATH  Google Scholar 

  • Wermuth, N. and Lauritzen, S. (1983) Graphical and recursive models for contingency tables. Biornetrika 72, 537–552.

    MathSciNet  Google Scholar 

  • Whittaker, J. (1990) Graphical Models in Applied Multivariate Statistics. Wiley, New York.

    MATH  Google Scholar 

  • Yao, Q. (1994) Inference about causal ordering. Unpublished Ph.D. dissertation, University of Toronto, Dept. of Preventive Medicine and Biostatistics.

    Google Scholar 

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© 1996 Springer-Verlag New York, Inc.

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Yao, Q., Tritchler, D. (1996). Likelihood-based Causal Inference. In: Fisher, D., Lenz, HJ. (eds) Learning from Data. Lecture Notes in Statistics, vol 112. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2404-4_4

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  • DOI: https://doi.org/10.1007/978-1-4612-2404-4_4

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-94736-5

  • Online ISBN: 978-1-4612-2404-4

  • eBook Packages: Springer Book Archive

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