On causal inference in the presence of interference

Interference is said to be present when the exposure or treatment received by one individual may affect the outcomes of other individuals. Such interference can arise in settings in which the outcomes of the various individuals come about through social interactions. When interference is present, causal inference is rendered considerably more complex, and the literature on causal inference in the presence of interference has just recently begun to develop. In this article we summarise some of the concepts and results from the existing literature and extend that literature in considering new results for finite sample inference, new inverse probability weighting estimators in the presence of interference and new causal estimands of interest.

[1]  Judea Pearl,et al.  Direct and Indirect Effects , 2001, UAI.

[2]  Michael E. Sobel,et al.  What Do Randomized Studies of Housing Mobility Demonstrate? , 2006 .

[3]  D. Rubin,et al.  Principal Stratification in Causal Inference , 2002, Biometrics.

[4]  Bryan S. Graham,et al.  Identifying Social Interactions Through Conditional Variance Restrictions , 2008 .

[5]  T J VanderWeele,et al.  Direct and Indirect Effects for Neighborhood-Based Clustered and Longitudinal Data , 2010, Sociological methods & research.

[6]  K. Joag-dev,et al.  Negative Association of Random Variables with Applications , 1983 .

[7]  P. Games Correlation and Causation: A Logical Snafu , 1990 .

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

[9]  M. Robins James,et al.  Estimation of the causal effects of time-varying exposures , 2008 .

[10]  Michael G Hudgens,et al.  Causal Vaccine Effects on Binary Postinfection Outcomes , 2006, Journal of the American Statistical Association.

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

[12]  R. Gallop,et al.  Mediation analysis with principal stratification , 2009, Statistics in medicine.

[13]  Donald B. Rubin,et al.  Comment : Neyman ( 1923 ) and Causal Inference in Experiments and Observational Studies , 2007 .

[14]  Jon A. Wellner,et al.  Weak Convergence and Empirical Processes: With Applications to Statistics , 1996 .

[15]  Thomas T. Semon,et al.  Planning of Experiments , 1959 .

[16]  Juni Palmgren,et al.  Sensitivity Analysis for Principal Stratum Direct Effects, with an Application to a Study of Physical Activity and Coronary Heart Disease , 2009, Biometrics.

[17]  W. Hoeffding Probability Inequalities for sums of Bounded Random Variables , 1963 .

[18]  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 .

[19]  P. Rosenbaum Interference Between Units in Randomized Experiments , 2007 .

[20]  D. Rubin Direct and Indirect Causal Effects via Potential Outcomes * , 2004 .

[21]  O. D. Duncan Path Analysis: Sociological Examples , 1966, American Journal of Sociology.

[22]  S. Raudenbush,et al.  Evaluating Kindergarten Retention Policy , 2006 .

[23]  M. Hudgens,et al.  Toward Causal Inference With Interference , 2008, Journal of the American Statistical Association.

[24]  P. Strain,et al.  An experimental analysis of "spillover" effects on the social interaction of behaviorally handicapped preschool children. , 1976, Journal of applied behavior analysis.

[25]  P. Holland CAUSAL INFERENCE, PATH ANALYSIS AND RECURSIVE STRUCTURAL EQUATIONS MODELS , 1988 .

[26]  Charles F. Manski,et al.  Identification of Treatment Response with Social Interactions , 2013 .

[27]  P. Diggle,et al.  Analysis of Longitudinal Data. , 1997 .

[28]  M E Halloran,et al.  Efficiency of Estimating Vaccine Efficacy for Susceptibility and Infectiousness: Randomization by Individual Versus Household , 1999, Biometrics.

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