Causal Inference without Counterfactuals

Abstract A popular approach to the framing and answering of causal questions relies on the idea of counterfactuals: Outcomes that would have been observed had the world developed differently; for example, if the patient had received a different treatment. By definition, one can never observe such quantities, nor assess empirically the validity of any modeling assumptions made about them, even though one's conclusions may be sensitive to these assumptions. Here I argue that for making inference about the likely effects of applied causes, counterfactual arguments are unnecessary and potentially misleading. An alternative approach, based on Bayesian decision analysis, is presented. Properties of counterfactuals are relevant to inference about the likely causes of observed effects, but close attention then must be given to the nature and context of the query, as well as to what conclusions can and cannot be supported empirically. In particular, even in the absence of Statistical uncertainty, such inferences may be subject to an irreducible degree of ambiguity.

[1]  Ludger Rüschendorf,et al.  Distributions with fixed marginals and related topics , 1999 .

[2]  J. Pearl,et al.  Confounding and Collapsibility in Causal Inference , 1999 .

[3]  A. Dawid,et al.  Prequential probability: principles and properties , 1999 .

[4]  Glenn Shafer,et al.  Mathematical foundations for probability and causality , 1998 .

[5]  James M. Robins,et al.  Estimation of Effects of Sequential Treatments by Reparameterizing Directed Acyclic Graphs , 1997, UAI.

[6]  D. Rubin,et al.  Bayesian inference for causal effects in randomized experiments with noncompliance , 1997 .

[7]  Alexander Balke,et al.  Probabilistic counterfactuals: semantics, computation, and applications , 1996 .

[8]  Glenn Shafer,et al.  The art of causal conjecture , 1996 .

[9]  Judea Pearl,et al.  Causal inference from indirect experiments , 1995, Artif. Intell. Medicine.

[10]  J. Pearl Causal diagrams for empirical research , 1995 .

[11]  Ross D. Shachter,et al.  Decision-Theoretic Foundations for Causal Reasoning , 1995, J. Artif. Intell. Res..

[12]  Judea Pearl,et al.  Probabilistic Evaluation of Counterfactual Queries , 1994, AAAI.

[13]  Judea Pearl,et al.  Counterfactual Probabilities: Computational Methods, Bounds and Applications , 1994, UAI.

[14]  H Raiffa,et al.  Decision Analysis: Introductory Lectures on Choices under Uncertainty. , 1969 .

[15]  J. Angrist,et al.  Identification and Estimation of Local Average Treatment Effects , 1994 .

[16]  J. H. Schuenemeyer,et al.  Generalized Linear Models (2nd ed.) , 1992 .

[17]  A. P. Dawid,et al.  Prequential data analysis , 1992 .

[18]  R. A. Bailey,et al.  Strata for Randomized Experiments , 1991 .

[19]  D. Rubin [On the Application of Probability Theory to Agricultural Experiments. Essay on Principles. Section 9.] Comment: Neyman (1923) and Causal Inference in Experiments and Observational Studies , 1990 .

[20]  P. McCullagh,et al.  Generalized Linear Models, 2nd Edn. , 1990 .

[21]  T. Speed,et al.  On the Application of Probability Theory to Agricultural Experiments. Essay on Principles. Section 9 , 1990 .

[22]  G. Shafer Savage revisited , 1990 .

[23]  S Greenland,et al.  The probability of causation under a stochastic model for individual risk. , 1989, Biometrics.

[24]  A. Dawid,et al.  Symmetry models and hypotheses for structured data layouts , 1988 .

[25]  J. Robins Addendum to “a new approach to causal inference in mortality studies with a sustained exposure period—application to control of the healthy worker survivor effect” , 1987 .

[26]  D. Rubin Comment: Which Ifs Have Causal Answers , 1986 .

[27]  D. Rubin Statistics and Causal Inference: Comment: Which Ifs Have Causal Answers , 1986 .

[28]  J. Robins A new approach to causal inference in mortality studies with a sustained exposure period—application to control of the healthy worker survivor effect , 1986 .

[29]  A. Dawid Calibration-Based Empirical Probability , 1985 .

[30]  P. Holland Statistics and Causal Inference , 1985 .

[31]  S. Rachev The Monge–Kantorovich Mass Transference Problem and Its Stochastic Applications , 1985 .

[32]  D. Rubin Bayesianly Justifiable and Relevant Frequency Calculations for the Applied Statistician , 1984 .

[33]  A. F. Smith Present Position and Potential Developments: Some Personal Views Bayesian Statistics , 1984 .

[34]  A. P. Dawid,et al.  Present position and potential developments: some personal views , 1984 .

[35]  D. Rubin Randomization Analysis of Experimental Data: The Fisher Randomization Test Comment , 1980 .

[36]  D. Basu Randomization Analysis of Experimental Data: The Fisher Randomization Test , 1980 .

[37]  A. Dawid Conditional Independence in Statistical Theory , 1979 .

[38]  Donald B. Rubin,et al.  Bayesian Inference for Causal Effects: The Role of Randomization , 1978 .

[39]  D. Rubin Estimating causal effects of treatments in randomized and nonrandomized studies. , 1974 .

[40]  D. Cox THE INTERPRETATION OF THE EFFECTS OF NON-ADDITIVITY IN THE LATIN SQUARE , 1958 .

[41]  Oscar Kempthorne,et al.  Non-Additivities in a Latin Square Design , 1957 .

[42]  M. B. Wilk,et al.  Some Aspects of the Analysis of Factorial Experiments in a Completely Randomized Design , 1956 .

[43]  O. Kempthorne,et al.  Fixed, Mixed, and Random Models* , 1955 .

[44]  B. Pascal,et al.  Pensées sur la religion et sur quelques autres sujets , 1952 .

[45]  J. Neyman,et al.  Statistical Problems in Agricultural Experimentation , 1935 .