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Causal Inference from Complex Longitudinal Data

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Latent Variable Modeling and Applications to Causality

Part of the book series: Lecture Notes in Statistics ((LNS,volume 120))

Abstract

The subject-specific data from a longitudinal study consist of a string of numbers. These numbers represent a series of empirical measurements. Calculations are performed on these strings of numbers and causal inferences are drawn. For example, an investigator might conclude that the analysis provides strong evidence for “a direct effect of AZT on the survival of AIDS patients controlling for the intermediate variable - therapy with aerosolized pentamidine.” The nature of the relationship between the sentence expressing these causal conclusions and the computer calculations performed on the strings of numbers has been obscure. Since the computer algorithms are well-defined mathematical objects, it is important to provide formal mathematical definitions for the English sentences expressing the investigator’s causal inferences.

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References

  • Arjas, E. (1989). “Survival models and martingale dynamics (with discussion).”Scandinavian Journal of Statistics15, 177–225.

    MathSciNet  Google Scholar 

  • Gill, R. and Robins, J. (1996). “Some measure theoretic aspects of causal models.” (In preparation.)

    Google Scholar 

  • Heckerman, D. and Shachter, R. (1995). “Decision-theoretic foundations for causal inference.Journal of Artificial Intelligence Research3, 405–430.

    MATH  Google Scholar 

  • Holland, P. (1989), “Reader reaction: Confounding in epidemiologic studies,”Biometrics45, 1310–1316.

    Article  MathSciNet  Google Scholar 

  • Lewis, D.K. (1973), Counterfactuals. Cambridge: Harvard University Press.

    Google Scholar 

  • Loomis, B. and Sternberg, S. (1968). Advanced Calculus. Addison Wesley.

    Google Scholar 

  • Pearl, J. (1995), “Causal diagrams for empirical research,”Biomnetrika82, 669–690..

    Article  MathSciNet  MATH  Google Scholar 

  • Pearl, J. and Robins, J.M. (1995). “Probabilistic evaluation of sequential plans from causal models with hidden variables,” From: Uncertainty in Artificial Intelligence: Proceedings of the Eleventh Conference on Artificial Intelligence, August 18–20, 1995, McGill University, Montreal, Quebec, Canada. San Francisco, CA: Morgan Kaufmann. pp. 444–453.

    Google Scholar 

  • Pearl, J. and Verma, T. (1991). “A Theory of Inferred Causation.” In: Principles of Knowledge, Representation and Reasoning: Proceedings of the Second International Conference. (Eds. J.A. Allen, R. Fikes, and E. Sandewall). 441–452.

    Google Scholar 

  • Robins, J.M. (1986), “A new approach to causal inference in mortality studies with sustained exposure periods - application to control of the healthy worker survivor effect,”Mathematical Modelling7, 1393–1512.

    Article  MathSciNet  MATH  Google Scholar 

  • Robins, J.M. (1987), “Addendum to `A new approach to causal inference in mortality studies with sustained exposure periods - application to control of the healthy worker survivor effect’,”Computers and Mathematics with Applications14, 923–945.

    Article  MathSciNet  MATH  Google Scholar 

  • Robins, J.M. (1989), “The analysis of randomized and non-randomized AIDS treatment trials using a new approach to causal inference in longitudinal studies,” In: Health Service Research Methodology: A Focus on AIDS, eds. Sechrest, L., Freeman, H., Mulley, A., NCHSR, U.S. Public Health Service, 113–159.

    Google Scholar 

  • Robins, J.M. (1992), “Estimation of the time-dependent accelerated failure time model in the presence of confounding factors,”Biometrika79, 321–334.

    Article  MathSciNet  MATH  Google Scholar 

  • Robins, J.M. (1993), “Analytic methods for estimating HIV-treatment and cofactor effects,” In: Methodological Issues in AIDS Mental Health Research, eds. Ostrow, D.G., and Kessler, R.C., NY: Plenum Press, 213–290.

    Google Scholar 

  • Robins, J.M. (1994), “Correcting for non-compliance in randomized trials using structural nested mean models,”Communications in Statistics23, 2379–2412.

    Article  MathSciNet  MATH  Google Scholar 

  • Robins, J.M. (1995a). “Estimating the Causal Effect of a Time-varying Treatment on Survival using Structural Nested Failure Time Models,” (To appearStatistica Neederlandica).

    Google Scholar 

  • Robins, J.M. (1995b). “Discussion of `Causal Diagrams for empirical research’ by J. Pearl,”Biometrika82, 695–698.

    Google Scholar 

  • Robins, J.M. (1996). “Correction for non-compliance in bioequivalence trials,”Statistics in Medicine(To appear).

    Google Scholar 

  • Robins, J.M., Blevins, D., Ritter, G. and Wulfsohn, M. (1992), “G-estimation of the effect of prophylaxis therapy for pneumocystis carinii pneumonia on the survival of AIDS patients,”Epidemiology3, 319–336.

    Article  Google Scholar 

  • Robins, J.M. and Pearl, J. (1996). “Causal effects of dynamic policies.” In preparation.

    Google Scholar 

  • Robins, J.M. and Wasserman, L. (1996). “Parameterizations of directed acyclic graphs for the estimation of overall and direct effects of multiple treatments.” Technical Report, Department of Epidemiology, Harvard School of Public Health.

    Google Scholar 

  • Rosenbaum, P.R. (1984), “Conditional permutation tests and the propensity score in observational studies,”Journal of the American Statistical Association79, 565–574.

    Article  MathSciNet  Google Scholar 

  • Rosenbaum, P.R. (1984), “The consequences of adjustment for a concomitant variable that has been adversely affected by treatment,”Journal of the Royal Statistical SocietyA, 147, 656–666.

    Article  Google Scholar 

  • Rosenbaum, P.R., and Rubin, D.B. (1983), “The central role of the propensity score in observational studies for causal effects,”Biometrika70, 41–55.

    Article  MathSciNet  MATH  Google Scholar 

  • Rubin, D.B. (1978), “Bayesian inference for causal effects: The role of randomization,”The Annals of Statistics6, 34–58.

    Article  MathSciNet  MATH  Google Scholar 

  • Spirtes, P., Glymour, C., and Scheines, R. (1993). Causation, Prediction, and Search. New York: Springer Verlag.

    MATH  Google Scholar 

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© 1997 Springer-Verlag New York, Inc.

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Robins, J.M. (1997). Causal Inference from Complex Longitudinal Data. In: Berkane, M. (eds) Latent Variable Modeling and Applications to Causality. Lecture Notes in Statistics, vol 120. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1842-5_4

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  • DOI: https://doi.org/10.1007/978-1-4612-1842-5_4

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-94917-8

  • Online ISBN: 978-1-4612-1842-5

  • eBook Packages: Springer Book Archive

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