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Volumn 3, Issue , 2009, Pages 96-146

Causal inference in statistics: An overview

Author keywords

Causal effects; Causes of effects; Confounding; Counterfactuals; Graphical methods; Mediation; Policy evaluation; Potential outcome; Structural equationmodels

Indexed keywords


EID: 77649325496     PISSN: None     EISSN: 19357516     Source Type: Journal    
DOI: 10.1214/09-SS057     Document Type: Article
Times cited : (1775)

References (129)
  • 3
    • 40749160098 scopus 로고    scopus 로고
    • The role of causal reasoning in understanding Simpson's paradox, Lord's paradox, and the suppression effect: Covariate selection in the analysis of observational studies
    • doi:10.1186/1742-7622-5-5, Online at
    • Arah, O. (2008). The role of causal reasoning in understanding Simpson's paradox, Lord's paradox, and the suppression effect: Covariate selection in the analysis of observational studies. Emerging Themes in Epidemiology 4 doi:10.1186/1742-7622-5-5. Online at http://www.ete-online.com/content/5/1/5.
    • (2008) Emerging Themes in Epidemiology , vol.4
    • Arah, O.1
  • 6
    • 0010750582 scopus 로고
    • Counterfactuals and policy analysis in structural models
    • (P. Besnard and S. Hanks, eds.). Morgan Kaufmann, San Francisco
    • Balke, A. and Pearl, J. (1995). Counterfactuals and policy analysis in structural models. In Uncertainty in Artificial Intelligence 11 (P. Besnard and S. Hanks, eds.). Morgan Kaufmann, San Francisco, 11-18.
    • (1995) Uncertainty in Artificial Intelligence , vol.11 , pp. 11-18
    • Balke, A.1    Pearl, J.2
  • 7
    • 30244508525 scopus 로고    scopus 로고
    • Bounds on treatment effects from studies with imperfect compliance
    • Balke, A. and Pearl, J. (1997). Bounds on treatment effects from studies with imperfect compliance. Journal of the American Statistical Association 92 1172-1176.
    • (1997) Journal of the American Statistical Association , vol.92 , pp. 1172-1176
    • Balke, A.1    Pearl, J.2
  • 8
    • 84873787355 scopus 로고
    • Limitations of the application of fourfold table analysis to hospital data
    • Berkson, J. (1946). Limitations of the application of fourfold table analysis to hospital data. Biometrics Bulletin 2 47-53.
    • (1946) Biometrics Bulletin , vol.2 , pp. 47-53
    • Berkson, J.1
  • 14
    • 17644379384 scopus 로고    scopus 로고
    • A fishing buddy for hypothesis generators
    • Brent, R. and Lok, L. (2005). A fishing buddy for hypothesis generators. Science 308 523-529.
    • (2005) Science , vol.308 , pp. 523-529
    • Brent, R.1    Lok, L.2
  • 15
    • 31944449045 scopus 로고    scopus 로고
    • Variance estimators for three 'probabilities of causation'
    • Cai, Z. and Kuroki, M. (2006). Variance estimators for three 'probabilities of causation'. Risk Analysis 25 1611-1620.
    • (2006) Risk Analysis , vol.25 , pp. 1611-1620
    • Cai, Z.1    Kuroki, M.2
  • 16
    • 37349069848 scopus 로고    scopus 로고
    • An extended class of instrumental variables for the estimation of causal effects
    • UCSD, Department of Economics
    • Chalak, K. and White, H. (2006). An extended class of instrumental variables for the estimation of causal effects. Tech. Rep. Discussion Paper, UCSD, Department of Economics.
    • (2006) Tech. Rep. Discussion Paper
    • Chalak, K.1    White, H.2
  • 17
    • 77950681306 scopus 로고    scopus 로고
    • A regression paradox for linear models: Sufficient conditions and relation to Simpson's paradox
    • Chen, A., Bengtsson, T. and Ho, T. (2009). A regression paradox for linear models: Sufficient conditions and relation to Simpson's paradox. The American Statistician 63 218-225.
    • (2009) The American Statistician , vol.63 , pp. 218-225
    • Chen, A.1    Bengtsson, T.2    Ho, T.3
  • 18
  • 19
    • 0000667395 scopus 로고    scopus 로고
    • Causality in epidemiology, health policy, and law
    • Cole, P. (1997). Causality in epidemiology, health policy, and law. Journal of Marketing Research 27 10279-10285.
    • (1997) Journal of Marketing Research , vol.27 , pp. 10279-10285
    • Cole, P.1
  • 25
    • 1542742382 scopus 로고    scopus 로고
    • Causal inference without counterfactuals (with comments and rejoinder)
    • Dawid, A. (2000). Causal inference without counterfactuals (with comments and rejoinder). Journal of the American Statistical Association 95 407-448.
    • (2000) Journal of the American Statistical Association , vol.95 , pp. 407-448
    • Dawid, A.1
  • 26
    • 0036679398 scopus 로고    scopus 로고
    • Influence diagrams for causal modelling and inference
    • Dawid, A. (2002). Influence diagrams for causal modelling and inference. International Statistical Review 70 161-189.
    • (2002) International Statistical Review , vol.70 , pp. 161-189
    • Dawid, A.1
  • 29
    • 0004152755 scopus 로고
    • Cambridge University Press, Cambridge, MA
    • Eells, E. (1991). Probabilistic Causality. Cambridge University Press, Cambridge, MA.
    • (1991) Probabilistic Causality
    • Eells, E.1
  • 30
    • 0036188782 scopus 로고    scopus 로고
    • Principal stratification in causal inference
    • Frangakis, C. and Rubin, D. (2002). Principal stratification in causal inference. Biometrics 1 21-29.
    • (2002) Biometrics , vol.1 , pp. 21-29
    • Frangakis, C.1    Rubin, D.2
  • 31
    • 84971238402 scopus 로고    scopus 로고
    • Causal diagrams
    • (K. Rothman, S. Greenland and T. Lash, eds.), 3rd ed. Lippincott Williams & Wilkins, Philadelphia, PA
    • Glymour, M. and Greenland, S. (2008). Causal diagrams. In Modern Epidemiology (K. Rothman, S. Greenland and T. Lash, eds.), 3rd ed. Lippincott Williams & Wilkins, Philadelphia, PA, 183-209.
    • (2008) Modern Epidemiology , pp. 183-209
    • Glymour, M.1    Greenland, S.2
  • 33
    • 0002818055 scopus 로고
    • Structural equation models: An overview
    • (A. Goldberger and O. Duncan, eds.). Seminar Press, New York, NY
    • Goldberger, A. (1973). Structural equation models: An overview. In Structural Equation Models in the Social Sciences (A. Goldberger and O. Duncan, eds.). Seminar Press, New York, NY, 1-18.
    • (1973) Structural Equation Models in the Social Sciences , pp. 1-18
    • Goldberger, A.1
  • 34
    • 0001556971 scopus 로고
    • The amalgamation and geometry of two-by-two contingency tables
    • Good, I. and Mittal, Y. (1987). The amalgamation and geometry of two-by-two contingency tables. The Annals of Statistics 15 694-711.
    • (1987) The Annals of Statistics , vol.15 , pp. 694-711
    • Good, I.1    Mittal, Y.2
  • 35
    • 0032805064 scopus 로고    scopus 로고
    • Relation of probability of causation, relative risk, and doubling dose: A methodologic error that has become a social problem
    • Greenland, S. (1999). Relation of probability of causation, relative risk, and doubling dose: A methodologic error that has become a social problem. American Journal of Public Health 89 1166-1169.
    • (1999) American Journal of Public Health , vol.89 , pp. 1166-1169
    • Greenland, S.1
  • 36
    • 0032924944 scopus 로고    scopus 로고
    • Causal diagrams for epidemiologic research
    • Greenland, S., Pearl, J. and Robins, J. (1999). Causal diagrams for epidemiologic research. Epidemiology 10 37-48.
    • (1999) Epidemiology , vol.10 , pp. 37-48
    • Greenland, S.1    Pearl, J.2    Robins, J.3
  • 37
    • 0022973522 scopus 로고
    • Identifiability, exchangeability, and epidemiological confounding
    • Greenland, S. and Robins, J. (1986). Identifiability, exchangeability, and epidemiological confounding. International Journal of Epidemiology 15 413-419.
    • (1986) International Journal of Epidemiology , vol.15 , pp. 413-419
    • Greenland, S.1    Robins, J.2
  • 38
    • 0002011245 scopus 로고
    • The Statistical Implications of a System of Simultaneous Equations
    • 1-12. Reprinted in D.F. Hendry and M.S. Morgan (Eds.), The Foundations of Econometric Analysis, Cambridge University Press
    • Haavelmo, T. (1943). The statistical implications of a system of simultaneous equations. Econometrica 11 1-12. Reprinted in D.F. Hendry and M.S. Morgan (Eds.), The Foundations of Econometric Analysis, Cambridge University Press, 477-490, 1995.
    • (1943) Econometrica , vol.11 , pp. 477-490
    • Haavelmo, T.1
  • 39
    • 66749103867 scopus 로고    scopus 로고
    • Opening the black box: A motivation for the assessment of mediation
    • Hafeman, D. and Schwartz, S. (2009). Opening the black box: A motivation for the assessment of mediation. International Journal of Epidemiology 3 838-845
    • (2009) International Journal of Epidemiology , vol.3 , pp. 838-845
    • Hafeman, D.1    Schwartz, S.2
  • 40
    • 0002262018 scopus 로고
    • Randomization and social policy evaluation
    • (C. Manski and I. Garfinkle, eds.). Harvard University Press, Cambridge, MA
    • Heckman, J. (1992). Randomization and social policy evaluation. In Evaluations: Welfare and Training Programs (C. Manski and I. Garfinkle, eds.). Harvard University Press, Cambridge, MA, 201-230.
    • (1992) Evaluations: Welfare and Training Programs , pp. 201-230
    • Heckman, J.1
  • 42
    • 1842533946 scopus 로고    scopus 로고
    • Using matching, instrumental variables, and control functions to estimate economic choice models
    • Heckman, J. and Navarro-Lozano, S. (2004). Using matching, instrumental variables, and control functions to estimate economic choice models. The Review of Economics and Statistics 86 30-57.
    • (2004) The Review of Economics and Statistics , vol.86 , pp. 30-57
    • Heckman, J.1    Navarro-Lozano, S.2
  • 43
    • 16344386078 scopus 로고    scopus 로고
    • Structural equations, treatment effects and econometric policy evaluation
    • Heckman, J. and Vytlacil, E. (2005). Structural equations, treatment effects and econometric policy evaluation. Econometrica 73 669-738.
    • (2005) Econometrica , vol.73 , pp. 669-738
    • Heckman, J.1    Vytlacil, E.2
  • 44
    • 84936109202 scopus 로고
    • Causal inference, path analysis, and recursive structural equations models
    • (C. Clogg, ed.). American Sociological Association, Washington, D.C
    • Holland, P. (1988). Causal inference, path analysis, and recursive structural equations models. In Sociological Methodology (C. Clogg, ed.). American Sociological Association, Washington, D.C., 449-484.
    • (1988) Sociological Methodology , pp. 449-484
    • Holland, P.1
  • 45
    • 0141878470 scopus 로고
    • Generalization of the concept of identification
    • (T. Koopmans, ed.). Cowles Commission, Monograph 10, Wiley, New York
    • Hurwicz, L. (1950). Generalization of the concept of identification. In Statistical Inference in Dynamic Economic Models (T. Koopmans, ed.). Cowles Commission, Monograph 10, Wiley, New York, 245-257.
    • (1950) Statistical Inference in Dynamic Economic Models , pp. 245-257
    • Hurwicz, L.1
  • 46
    • 77953792399 scopus 로고    scopus 로고
    • Identification, inference, and sensitivity analysis for causal mediation effects
    • Department of Politics, Princton University
    • Imai, K., Keele, L. and Yamamoto, T. (2008). Identification, inference, and sensitivity analysis for causal mediation effects. Tech. rep., Department of Politics, Princton University.
    • (2008) Tech. Rep
    • Imai, K.1    Keele, L.2    Yamamoto, T.3
  • 47
    • 64849112179 scopus 로고    scopus 로고
    • Recent developments in the econometrics of program evaluation
    • Imbens, G. and Wooldridge, J. (2009). Recent developments in the econometrics of program evaluation. Journal of Economic Literature 47.
    • (2009) Journal of Economic Literature , vol.47
    • Imbens, G.1    Wooldridge, J.2
  • 49
    • 0010670891 scopus 로고
    • Identification problems in econometric model construction
    • (W. Hood and T. Koopmans, eds.). Wiley, New York
    • Koopmans, T. (1953). Identification problems in econometric model construction. In Studies in Econometric Method (W. Hood and T. Koopmans, eds.). Wiley, New York, 27-48.
    • (1953) Studies in Econometric Method , pp. 27-48
    • Koopmans, T.1
  • 50
    • 0010665340 scopus 로고    scopus 로고
    • Identifiability criteria for causal effects of joint interventions
    • Kuroki, M. and Miyakawa, M. (1999). Identifiability criteria for causal effects of joint interventions. Journal of the Royal Statistical Society 29 105-117.
    • (1999) Journal of the Royal Statistical Society , vol.29 , pp. 105-117
    • Kuroki, M.1    Miyakawa, M.2
  • 52
    • 0001926461 scopus 로고    scopus 로고
    • Causal inference from graphical models
    • (D. Cox and C. Kluppelberg, eds.). Chapman and Hall/CRC Press, Boca Raton, FL
    • Lauritzen, S. (2001). Causal inference from graphical models. In Complex Stochastic Systems (D. Cox and C. Kluppelberg, eds.). Chapman and Hall/CRC Press, Boca Raton, FL, 63-107.
    • (2001) Complex Stochastic Systems , pp. 63-107
    • Lauritzen, S.1
  • 53
    • 0036677649 scopus 로고    scopus 로고
    • Seeing and doing: The concept of causation
    • Lindley, D. (2002). Seeing and doing: The concept of causation. International Statistical Review 70 191-214.
    • (2002) International Statistical Review , vol.70 , pp. 191-214
    • Lindley, D.1
  • 54
    • 0002368997 scopus 로고
    • The role of exchangeability in inference
    • Lindley, D. and Novick, M. (1981). The role of exchangeability in inference. The Annals of Statistics 9 45-58.
    • (1981) The Annals of Statistics , vol.9 , pp. 45-58
    • Lindley, D.1    Novick, M.2
  • 57
    • 0013172155 scopus 로고
    • Statistical inference in economics
    • (T. Koopmans, ed.). Wiley, New York, Cowles Commission for Research in Economics, Monograph 10
    • Marschak, J. (1950). Statistical inference in economics. In Statistical Inference in Dynamic Economic Models (T. Koopmans, ed.). Wiley, New York, 1-50. Cowles Commission for Research in Economics, Monograph 10.
    • (1950) Statistical Inference in Dynamic Economic Models , pp. 1-50
    • Marschak, J.1
  • 59
    • 0016288477 scopus 로고
    • Proportion of disease caused or prevented by a given exposure, trait, or intervention
    • Miettinen, O. (1974). Proportion of disease caused or prevented by a given exposure, trait, or intervention. Journal of Epidemiology 99 325-332.
    • (1974) Journal of Epidemiology , vol.99 , pp. 325-332
    • Miettinen, O.1
  • 61
    • 70349441013 scopus 로고    scopus 로고
    • The social gradient in birthweight at term: Quantification of the mediating role of maternal smoking and body mass index
    • doi:10.1093/humrep/dep211
    • Mortensen, L., Diderichsen, F., Smith, G. and Andersen, A. (2009). The social gradient in birthweight at term: quantification of the mediating role of maternal smoking and body mass index. Human Reproduction To appear, doi:10.1093/humrep/dep211.
    • (2009) Human Reproduction to Appear
    • Mortensen, L.1    Diderichsen, F.2    Smith, G.3    Andersen, A.4
  • 62
    • 84972526326 scopus 로고
    • On the application of probability theory to agricultural experiments. Essay on principles. Section 9
    • Neyman, J. (1923). On the application of probability theory to agricultural experiments. Essay on principles. Section 9. Statistical Science 5 465-480.
    • (1923) Statistical Science , vol.5 , pp. 465-480
    • Neyman, J.1
  • 65
    • 84972538789 scopus 로고
    • Comment: Graphical models, causality, and intervention
    • Pearl, J. (1993a). Comment: Graphical models, causality, and intervention. Statistical Science 8 266-269.
    • (1993) Statistical Science , vol.8 , pp. 266-269
    • Pearl, J.1
  • 66
    • 84857409864 scopus 로고
    • Mediating instrumental variables
    • TR-210, Department of Computer Science, University of California, Los Angeles
    • Pearl, J. (1993b). Mediating instrumental variables. Tech. Rep. TR-210, http://ftp.cs.ucla.edu/pub/statser/R210.pdf, Department of Computer Science, University of California, Los Angeles.
    • (1993) Tech. Rep
    • Pearl, J.1
  • 67
    • 77956888769 scopus 로고
    • Causal diagrams for empirical research
    • Pearl, J. (1995a). Causal diagrams for empirical research. Biometrika 82 669-710.
    • (1995) Biometrika , vol.82 , pp. 669-710
    • Pearl, J.1
  • 68
    • 0010757113 scopus 로고
    • On the testability of causal models with latent and instrumental variables
    • (P. Besnard and S. Hanks, eds.). Morgan Kaufmann, San Francisco, CA
    • Pearl, J. (1995b). On the testability of causal models with latent and instrumental variables. In Uncertainty in Artificial Intelligence 11 (P. Besnard and S. Hanks, eds.). Morgan Kaufmann, San Francisco, CA, 435-443.
    • (1995) Uncertainty in Artificial Intelligence , vol.11 , pp. 435-443
    • Pearl, J.1
  • 69
    • 0032331836 scopus 로고    scopus 로고
    • Graphs, causality, and structural equation models
    • Pearl, J. (1998). Graphs, causality, and structural equation models. Sociological Methods and Research 27 226-284.
    • (1998) Sociological Methods and Research , vol.27 , pp. 226-284
    • Pearl, J.1
  • 71
    • 85012457219 scopus 로고    scopus 로고
    • Comment on A.P. Dawid's, Causal inference without counterfactuals
    • Pearl, J. (2000b). Comment on A.P. Dawid's, Causal inference without counterfactuals. Journal of the American Statistical Association 95 428-431.
    • (2000) Journal of the American Statistical Association , vol.95 , pp. 428-431
    • Pearl, J.1
  • 73
    • 1342347558 scopus 로고    scopus 로고
    • Statistics and causal inference: A review
    • Pearl, J. (2003). Statistics and causal inference: A review. Test Journal 12 281-345.
    • (2003) Test Journal , vol.12 , pp. 281-345
    • Pearl, J.1
  • 76
    • 67549105887 scopus 로고    scopus 로고
    • Letter to the editor: Remarks on the method of propensity scores
    • Pearl, J. (2009b). Letter to the editor: Remarks on the method of propensity scores. Statistics in Medicine 28 1415-1416. http://ftp.cs.ucla.edu/pub/statser/r345-sim.pdf.
    • (2009) Statistics in Medicine , vol.28 , pp. 1415-1416
    • Pearl, J.1
  • 77
    • 77649285984 scopus 로고    scopus 로고
    • Myth, confusion, and science in causal analysis
    • R-348, University of California, Los Angeles, CA
    • Pearl, J. (2009c). Myth, confusion, and science in causal analysis. Tech. Rep. R-348, University of California, Los Angeles, CA. http://ftp.cs.ucla.edu/pub/statser/r348.pdf.
    • (2009) Tech. Rep
    • Pearl, J.1
  • 78
    • 84857376382 scopus 로고    scopus 로고
    • Confounding equivalence in observational studies
    • TR-343, University of California, Los Angeles, CA
    • Pearl, J. and Paz, A. (2009). Confounding equivalence in observational studies. Tech. Rep. TR-343, University of California, Los Angeles, CA. http://ftp.cs.ucla.edu/pub/statser/r343.pdf.
    • (2009) Tech. Rep
    • Pearl, J.1    Paz, A.2
  • 79
    • 0000657751 scopus 로고
    • Probabilistic evaluation of sequential plans from causal models with hidden variables
    • (P. Besnard and S. Hanks, eds.). Morgan Kaufmann, San Francisco
    • Pearl, J. and Robins, J. (1995). Probabilistic evaluation of sequential plans from causal models with hidden variables. In Uncertainty in Artificial Intelligence 11 (P. Besnard and S. Hanks, eds.). Morgan Kaufmann, San Francisco, 444-453.
    • (1995) Uncertainty in Artificial Intelligence , vol.11 , pp. 444-453
    • Pearl, J.1    Robins, J.2
  • 83
    • 0345847813 scopus 로고    scopus 로고
    • The common sense of cause in fact
    • Robertson, D. (1997). The common sense of cause in fact. Texas Law Review 75 1765-1800.
    • (1997) Texas Law Review , vol.75 , pp. 1765-1800
    • Robertson, D.1
  • 84
    • 46149139403 scopus 로고
    • A new approach to causal inference in mortality studies with a sustained exposure period - applications to control of the healthy workers survivor effect
    • Robins, J. (1986). A new approach to causal inference in mortality studies with a sustained exposure period - applications to control of the healthy workers survivor effect. Mathematical Modeling 7 1393-1512.
    • (1986) Mathematical Modeling , vol.7 , pp. 1393-1512
    • Robins, J.1
  • 85
    • 0023203075 scopus 로고
    • A graphical approach to the identification and estimation of causal parameters in mortality studies with sustained exposure periods
    • Robins, J. (1987). A graphical approach to the identification and estimation of causal parameters in mortality studies with sustained exposure periods. Journal of Chronic Diseases 40 139S-161S.
    • (1987) Journal of Chronic Diseases , vol.40
    • Robins, J.1
  • 86
    • 0002596470 scopus 로고
    • The analysis of randomized and non-randomized aids treatment trials using a new approach to causal inference in longitudinal studies
    • (L. Sechrest, H. Freeman and A. Mulley, eds.). NCHSR, U.S. Public Health Service, Washington, D.C
    • Robins, J. (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 (L. Sechrest, H. Freeman and A. Mulley, eds.). NCHSR, U.S. Public Health Service, Washington, D.C., 113-159.
    • (1989) Health Service Research Methodology: A Focus on AIDS , pp. 113-159
    • Robins, J.1
  • 87
    • 0000272869 scopus 로고    scopus 로고
    • Testing and estimation of directed effects by reparameterizing directed acyclic with structural nested models
    • (C. Glymour and G. Cooper, eds.). AAAI/MIT Press, Cambridge, MA
    • Robins, J. (1999). Testing and estimation of directed effects by reparameterizing directed acyclic with structural nested models. In Computation, Causation, and Discovery (C. Glymour and G. Cooper, eds.). AAAI/MIT Press, Cambridge, MA, 349-405.
    • (1999) Computation, Causation, and Discovery , pp. 349-405
    • Robins, J.1
  • 88
    • 0035063108 scopus 로고    scopus 로고
    • Data, design, and background knowledge in etiologic inference
    • Robins, J. (2001). Data, design, and background knowledge in etiologic inference. Epidemiology 12 313-320.
    • (2001) Epidemiology , vol.12 , pp. 313-320
    • Robins, J.1
  • 89
    • 0024942006 scopus 로고
    • The probability of causation under a stochastic model for individual risk
    • Robins, J. and Greenland, S. (1989a). The probability of causation under a stochastic model for individual risk. Biometrics 45 1125-1138.
    • (1989) Biometrics , vol.45 , pp. 1125-1138
    • Robins, J.1    Greenland, S.2
  • 90
    • 0024322853 scopus 로고
    • Estimability and estimation of excess and etiologic fractions
    • Robins, J. and Greenland, S. (1989b). Estimability and estimation of excess and etiologic fractions. Statistics in Medicine 8 845-859.
    • (1989) Statistics in Medicine , vol.8 , pp. 845-859
    • Robins, J.1    Greenland, S.2
  • 91
    • 0026556155 scopus 로고
    • Identifiability and exchangeability for direct and indirect effects
    • Robins, J. and Greenland, S. (1992). Identifiability and exchangeability for direct and indirect effects. Epidemiology 3 143-155.
    • (1992) Epidemiology , vol.3 , pp. 143-155
    • Robins, J.1    Greenland, S.2
  • 93
    • 77951622706 scopus 로고
    • The central role of propensity score in observational studies for causal effects
    • Rosenbaum, P. and Rubin, D. (1983). The central role of propensity score in observational studies for causal effects. Biometrika 70 41-55.
    • (1983) Biometrika , vol.70 , pp. 41-55
    • Rosenbaum, P.1    Rubin, D.2
  • 95
    • 58149417330 scopus 로고
    • Estimating causal effects of treatments in randomized and nonrandomized studies
    • Rubin, D. (1974). Estimating causal effects of treatments in randomized and nonrandomized studies. Journal of Educational Psychology 66 688-701.
    • (1974) Journal of Educational Psychology , vol.66 , pp. 688-701
    • Rubin, D.1
  • 96
    • 2942562549 scopus 로고    scopus 로고
    • Direct and indirect causal effects via potential outcomes
    • Rubin, D. (2004). Direct and indirect causal effects via potential outcomes. Scandinavian Journal of Statistics 31 161-170.
    • (2004) Scandinavian Journal of Statistics , vol.31 , pp. 161-170
    • Rubin, D.1
  • 97
    • 14944344423 scopus 로고    scopus 로고
    • Causal inference using potential outcomes: Design, modeling, decisions
    • Rubin, D. (2005). Causal inference using potential outcomes: Design, modeling, decisions. Journal of the American Statistical Association 100 322-331.
    • (2005) Journal of the American Statistical Association , vol.100 , pp. 322-331
    • Rubin, D.1
  • 98
    • 33846253571 scopus 로고    scopus 로고
    • The design versus the analysis of observational studies for causal effects: Parallels with the design of randomized trials
    • Rubin, D. (2007). The design versus the analysis of observational studies for causal effects: Parallels with the design of randomized trials. Statistics in Medicine 26 20-36.
    • (2007) Statistics in Medicine , vol.26 , pp. 20-36
    • Rubin, D.1
  • 99
    • 69949106881 scopus 로고    scopus 로고
    • Author's reply: Should observational studies be designed to allow lack of balance in covariate distributions across treatment group?
    • Rubin, D. (2009). Author's reply: Should observational studies be designed to allow lack of balance in covariate distributions across treatment group? Statistics in Medicine 28 1420-1423.
    • (2009) Statistics in Medicine , vol.28 , pp. 1420-1423
    • Rubin, D.1
  • 101
    • 77649296605 scopus 로고    scopus 로고
    • What counterfactuals can be tested
    • AUAI Press, Vancouver, BC, Canada, Also, Journal of Machine Learning Research, 9:1941-1979, 2008
    • Shpitser, I. and Pearl, J. (2007). What counterfactuals can be tested. In Proceedings of the Twenty-Third Conference on Uncertainty in Artificial Intelligence. AUAI Press, Vancouver, BC, Canada, 352-359. Also, Journal of Machine Learning Research, 9:1941-1979, 2008.
    • (2007) Proceedings of the Twenty-Third Conference on Uncertainty in Artificial Intelligence , pp. 352-359
    • Shpitser, I.1    Pearl, J.2
  • 104
    • 65649149694 scopus 로고    scopus 로고
    • Letter to the editor: Propensity scores
    • See also Pearl 2009
    • Shrier, I. (2009). Letter to the editor: Propensity scores. Statistics in Medicine 28 1317-1318. See also Pearl 2009 http://ftp.cs.ucla.edu/pub/statser/r348.pdf.
    • (2009) Statistics in Medicine , vol.28 , pp. 1317-1318
    • Shrier, I.1
  • 105
    • 84875514169 scopus 로고    scopus 로고
    • Mediation in experimental and nonexperimental studies: New procedures and recommendations
    • Shrout, P. and Bolger, N. (2002). Mediation in experimental and nonexperimental studies: New procedures and recommendations. Psychological Methods 7 422-445.
    • (2002) Psychological Methods , vol.7 , pp. 422-445
    • Shrout, P.1    Bolger, N.2
  • 106
    • 0002925736 scopus 로고
    • Causal ordering and identifiability
    • (W. C. Hood and T. Koopmans, eds.). Wiley and Sons, Inc., New York, NY
    • Simon, H. (1953). Causal ordering and identifiability. In Studies in Econometric Method (W. C. Hood and T. Koopmans, eds.). Wiley and Sons, Inc., New York, NY, 49-74.
    • (1953) Studies in Econometric Method , pp. 49-74
    • Simon, H.1
  • 109
    • 0040843522 scopus 로고    scopus 로고
    • Causal inference in statistical models of the process of socioeconomic achievement
    • Sobel, M. (1998). Causal inference in statistical models of the process of socioeconomic achievement. Sociological Methods & Research 27 318-348
    • (1998) Sociological Methods & Research , vol.27 , pp. 318-348
    • Sobel, M.1
  • 110
    • 44949156585 scopus 로고    scopus 로고
    • Identification of causal parameters in randomized studies with mediating variables
    • Sobel, M. (2008). Identification of causal parameters in randomized studies with mediating variables. Journal of Educational and Behavioral Statistics 33 230-231.
    • (2008) Journal of Educational and Behavioral Statistics , vol.33 , pp. 230-231
    • Sobel, M.1
  • 114
    • 0000338832 scopus 로고
    • Recursive versus nonrecursive systems: An attempt at synthesis
    • Strotz, R. and Wold, H. (1960). Recursive versus nonrecursive systems: An attempt at synthesis. Econometrica 28 417-427.
    • (1960) Econometrica , vol.28 , pp. 417-427
    • Strotz, R.1    Wold, H.2
  • 116
    • 0010710880 scopus 로고    scopus 로고
    • Finding minimal separating sets
    • R-254, University of California, Los Angeles, CA
    • Tian, J., Paz, A. and Pearl, J. (1998). Finding minimal separating sets. Tech. Rep. R-254, University of California, Los Angeles, CA.
    • (1998) Tech. Rep
    • Tian, J.1    Paz, A.2    Pearl, J.3
  • 119
    • 67349216949 scopus 로고    scopus 로고
    • Marginal structural models for the estimation of direct and indirect effects
    • VanderWeele, T. (2009). Marginal structural models for the estimation of direct and indirect effects. Epidemiology 20 18-26.
    • (2009) Epidemiology , vol.20 , pp. 18-26
    • Vanderweele, T.1
  • 120
    • 34547924073 scopus 로고    scopus 로고
    • Four types of effect modification: A classification based on directed acyclic graphs
    • VanderWeele, T. and Robins, J. (2007). Four types of effect modification: A classification based on directed acyclic graphs. Epidemiology 18 561-568.
    • (2007) Epidemiology , vol.18 , pp. 561-568
    • Vanderweele, T.1    Robins, J.2
  • 123
    • 84972506446 scopus 로고
    • Linear dependencies represented by chain graphs
    • Wermuth, N. and Cox, D. (1993). Linear dependencies represented by chain graphs. Statistical Science 8 204-218.
    • (1993) Statistical Science , vol.8 , pp. 204-218
    • Wermuth, N.1    Cox, D.2
  • 127
    • 77649320613 scopus 로고    scopus 로고
    • Should instrumental variables be used as matching variables?
    • Michigan State University, MI
    • Wooldridge, J. (2009). Should instrumental variables be used as matching variables? Tech. Rep. https://www.msu.edu/ec/faculty/wooldridge/current%20research/treat1r6.pdf, Michigan State University, MI.
    • (2009) Tech. Rep
    • Wooldridge, J.1
  • 129
    • 0001308326 scopus 로고
    • Notes on the theory of association of attributes in statistics
    • Yule, G. (1903). Notes on the theory of association of attributes in statistics. Biometrika 2 121-134.
    • (1903) Biometrika , vol.2 , pp. 121-134
    • Yule, G.1


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