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. Manski, CF. . Economic analysis of social interactions. J Econ Perspect 2000; 14: 115136.
Google Scholar | Crossref | ISI
2. Manski, CF. Identification of treatment response with social interactions 2010; Northwestern University, Working Paper.
Google Scholar | Crossref
3. Rubin, DB. . Comment on: ‘Randomisation analysis of experimental data in the fisher randomisation test’ by D. Basu. J Am Stat Assoc 1980; 75: 591593.
Google Scholar
4. Sobel, ME. . What Do Randomized Studies of Housing Mobility Demonstrate?: Causal Inference in the Face of Interference. J Am Stat Assoc 2006; 101: 13981407.
Google Scholar | Crossref | ISI
5. Hong, G, Raudenbush, SW.. Evaluating kindergarten retention policy: A case study of causal inference for multilevel observational data. J Am Stat Assoc 2006; 101: 901910.
Google Scholar | Crossref | ISI
6. Hudgens, MG, Halloran, ME.. Towards causal inference with interference. J Am Stat Assoc 2008; 103: 832842.
Google Scholar | Crossref | Medline | ISI
7. Rubin, DB. . Comment on: Neyman (1923) and Causal Inference in Experiments and. Observational Studies. Stat Sci 1990; 5: 472480.
Google Scholar | Crossref
8. Halloran, ME, Struchiner, CJ.. Causal inference for infectious diseases. Epidemiology 1995; 6: 14251.
Google Scholar | Crossref | Medline | ISI
9. Rosenbaum, PR. . Interference between units in randomised experiments. J Am Stat Assoc 2007; 102: 191200.
Google Scholar | Crossref | ISI
10. Graham, B. . Identifying social interactions through conditional variance restrictions. Econometrica 2008; 76: 643660.
Google Scholar | Crossref | ISI
11. Datta, S, Halloran, ME, Longini, IM.. Efficiency of estimating vaccine efficacy for susceptibility and infectiousness: randomisation by individual versus household. Biometrics 1999; 55: 792798.
Google Scholar | Crossref | Medline | ISI
12. Hudgens, MG, Halloran, ME.. Causal vaccine effects on binary post-infection outcomes. J Am Stat Assoc 2006; 101: 5164.
Google Scholar | Crossref | Medline | ISI
13. Cox, DR. Planning of experiments. New York: John Wiley & Sons, Inc., 1958.
Google Scholar
14. Hoeffding, W. . Probability inequalities for sums of bounded random variables. J Am Stat Assoc 1963; 58(301): 1330.
Google Scholar | Crossref | ISI
15. Joag-Dev, K, Proschan, F.. Negative association of random variables with applications. Ann Statis 1983; 11: 286295.
Google Scholar | Crossref | ISI
16. van der Vaart, AW, Wellner, JA. Weak convergence and empirical processes: with applications to statistics. New York: Springer, 1996. Springer Series in Statistics.
Google Scholar | Crossref
17. Robins, JM, Hernán, MA.. Estimation of the causal effects of time-varying exposures. In: Fitzmaurice, G, Davidian, M, Verbeke, G, Molenberghs, G. (eds) Advances in longitudinal data analysis. New YorkChapman and Hall/CRC Press, 2009, 553599. Chap. 23.
Google Scholar
18. Diggle, PJ, Heagerty, P, Liang, KY, Zeger, SL. Analysis of longitudinal data, 2nd edn. Oxford: Oxford University Press, 2002.
Google Scholar
19. VanderWeele, TJ. . Direct and indirect effects for neighbourhood-based clustered and longitudinal data. Sociol Res Methods 2010; 38: 515544.
Google Scholar | SAGE Journals | ISI
20. Duncan, OD. . Path analysis: sociological examples. Am J Sociol 1966; 72: 116.
Google Scholar | Crossref | ISI
21. Wright, S. . Correlation and causation. J Agricultural Res 1921; 20: 557585.
Google Scholar
22. Holland, PW. . Causal inference, path analysis, and recursive structural equations models. Sociol Methodol 1988; 18: 449484.
Google Scholar | Crossref
23. Robins, JM, Greenland, S.. Identifiability and exchangeability for direct and indirect effects. Epidemiology 1992; 3: 143155.
Google Scholar | Crossref | Medline | ISI
24. Strain, PS, Shores, RE, Kerr, MM.. An experimental analysis of ‘spillover’ effects on the social interaction of behaviorally handicapped preschool children. J Appl Behav Anal 1976; 9: 3140.
Google Scholar | Crossref | Medline | ISI
25. Pearl, J. . Direct and indirect effects. In: Proceedings of the Seventeenth Conference on Uncertainty and Artificial Intelligence. San Francisco, 2001, 411420.
Google Scholar
26. Frangakis, CE, Rubin, DB.. Principal stratification in causal inference. Biometrics 2002; 58: 2129.
Google Scholar | Crossref | Medline | ISI
27. Rubin, DB. . Direct and indirect effects via potential outcomes. Scand J Stat 2004; 31: 161170.
Google Scholar | Crossref | ISI
28. Gallop, R, Small, DS, Lin, JY, Elliott, MR, Joffe, M, Ten Have, TR.. Mediation analysis with principal stratification. Stat Med 2009; 28: 11081130.
Google Scholar | Crossref | Medline | ISI
29. Sjölander, A, Humphreys, K, Vansteelandt, S, Bellocco, R, Palmgren, J.. Sensitivity analysis for principal stratum direct effects, with an application to a study of physical activity and coronary heart disease. Biometrics 2009; 65: 514520.
Google Scholar | Crossref | Medline | ISI
Access Options

My Account

Welcome
You do not have access to this content.



Chinese Institutions / 中国用户

Click the button below for the full-text content

请点击以下获取该全文

Institutional Access

does not have access to this content.

Purchase Content

24 hours online access to download content

Research off-campus without worrying about access issues. Find out about Lean Library here

Your Access Options


Purchase

SMM-article-ppv for $41.50
Single Issue 24 hour E-access for $543.66

Cookies Notification

This site uses cookies. By continuing to browse the site you are agreeing to our use of cookies. Find out more.
Top