Causal Analysis in the Health Sciences

The final quarter of the twentieth century witnessed a burgeoning of formal methods for the analysis of causal effects. Of the methods that appeared in the health sciences, most can be identified with approaches to causal analysis that originated much earlier in the century in other fields: counterfactual (potential outcomes) models, graphical models, and structural equations models. Connections among these approaches were elucidated during the 1990s, and the near future may bring a unified methodology for causal analysis. This vignette briefly reviews the counterfactual approach to causal analysis in the health sciences, its connections to graphical and structural equations approaches, its extension to longitudinal data analysis, and some areas needing further work. For deeper and more extensive reviews, I especially recommend Sobel's (1995) discussion of the connections among causal concepts in philosophy, statistics, and social sciences; Pearl's (2000) unified approach to counterfactual, graphical, and structural equations models; and Robins's (1997) review of causal analysis for longitudinal data.

[1]  J. Robins,et al.  Marginal Structural Models and Causal Inference in Epidemiology , 2000, Epidemiology.

[2]  A. Dawid Causal Inference without Counterfactuals , 2000 .

[3]  J. Robins,et al.  Sensitivity Analysis for Selection bias and unmeasured Confounding in missing Data and Causal inference models , 2000 .

[4]  A. P. Dawid,et al.  Causal inference without counterfactuals (with Discussion) , 2000 .

[5]  J. Robins,et al.  Estimation of the Causal Effect of a Time-Varying Exposure on the Marginal Mean of a Repeated Binary Outcome , 1999 .

[6]  P. Rosenbaum,et al.  Invited commentary: propensity scores. , 1999, American journal of epidemiology.

[7]  S Greenland,et al.  Relation of probability of causation to relative risk and doubling dose: a methodologic error that has become a social problem. , 1999, American journal of public health.

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

[9]  J. Pearl,et al.  Bounds on Treatment Effects from Studies with Imperfect Compliance , 1997 .

[10]  J. Copas,et al.  Inference for Non‐random Samples , 1997 .

[11]  James M. Robins,et al.  Causal Inference from Complex Longitudinal Data , 1997 .

[12]  James J. Heckman,et al.  Identification of Causal Effects Using Instrumental Variables: Comment , 1996 .

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

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

[15]  M. Halloran,et al.  Causal Inference in Infectious Diseases , 1995, Epidemiology.

[16]  M. Sobel Causal Inference in the Social and Behavioral Sciences , 1995 .

[17]  J. Robins,et al.  Adjusting for differential rates of prophylaxis therapy for PCP in high- versus low-dose AZT treatment arms in an AIDS randomized trial , 1994 .

[18]  W. Salmon Causality without Counterfactuals , 1994, Philosophy of Science.

[19]  J. Robins Correcting for non-compliance in randomized trials using structural nested mean models , 1994 .

[20]  Joshua D. Angrist,et al.  Identification of Causal Effects Using Instrumental Variables , 1993 .

[21]  Franz von Kutschera,et al.  Causation , 1993, J. Philos. Log..

[22]  P. Spirtes,et al.  Causation, prediction, and search , 1993 .

[23]  C. Howson,et al.  Scientific Reasoning: The Bayesian Approach , 1989 .

[24]  J. Robins,et al.  Identifiability and Exchangeability for Direct and Indirect Effects , 1992, Epidemiology.

[25]  Sander Greenland,et al.  On the Logical Justification of Conditional Tests for Two-By-Two Contingency Tables , 1991 .

[26]  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 .

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

[28]  Peter Urbach,et al.  Scientific Reasoning: The Bayesian Approach , 1989 .

[29]  S Greenland,et al.  Interpretation and choice of effect measures in epidemiologic analyses. , 1987, American journal of epidemiology.

[30]  J. Robins A graphical approach to the identification and estimation of causal parameters in mortality studies with sustained exposure periods. , 1987, Journal of chronic diseases.

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

[32]  D. Rubin,et al.  The central role of the propensity score in observational studies for causal effects , 1983 .

[33]  D. A. Kenny,et al.  Correlation and Causation , 1937, Wilmott.

[34]  S Greenland,et al.  Concepts of interaction. , 1980, American journal of epidemiology.

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

[36]  H. Simon,et al.  Causal Ordering and Identifiability , 1977 .

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

[38]  J. Copas Randomization models for the matched and unmatched 2 × 2 tables , 1973 .

[39]  Michail Prodan,et al.  CHAPTER 17 – THE PLANNING OF EXPERIMENTS , 1968 .

[40]  H. Simon,et al.  Cause and Counterfactual , 1966 .

[41]  I NICOLETTI,et al.  The Planning of Experiments , 1936, Rivista di clinica pediatrica.

[42]  J. I The Design of Experiments , 1936, Nature.