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Quantifying and Reducing Uncertainty About Causality in Improving Public Health and Safety

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Handbook of Uncertainty Quantification

Abstract

Effectively managing uncertain health, safety, and environmental risks requires quantitative methods for quantifying uncertain risks, answering the following questions about them, and characterizing uncertainties about the answers:

  • Event detection: What has changed recently in disease patterns or other adverse outcomes, by how much, when?

  • Consequence prediction: What are the implications for what will probably happen next if different actions (or no new actions) are taken?

  • Risk attribution: What is causing current undesirable outcomes? Does a specific exposure harm human health, and, if so, who is at greatest risk and under what conditions?

  • Response modeling: What combinations of factors affect health outcomes, and how strongly? How would risks change if one or more of these factors were changed?

  • Decision making: What actions or interventions will most effectively reduce uncertain health risks?

  • Retrospective evaluation and accountability: How much difference have exposure reductions actually made in reducing adverse health outcomes?

These are all causal questions. They are about the uncertain causal relations between causes, such as exposures, and consequences, such as adverse health outcomes. This chapter reviews advances in quantitative methods for answering them. It recommends integrated application of these advances, which might collectively be called causal analytics, to better assess and manage uncertain risks. It discusses uncertainty quantification and reduction techniques for causal modeling that can help to predict the probable consequences of different policy choices and how to optimize decisions. Methods of causal analytics, including change-point analysis, quasi-experimental studies, causal graph modeling, Bayesian Networks and influence diagrams, Granger causality and transfer entropy methods for time series, and adaptive learning algorithms provide a rich toolkit for using data to assess and improve the performance of risk management efforts by actively discovering what works well and what does not.

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References

  1. Alpiste Illueca, F.M., Buitrago Vera, P., de Grado Cabanilles, P., Fuenmayor Fernandez, V., Gil Loscos, F.J.: Periodontal regeneration in clinical practice. Med. Oral Patol. Oral Cir. Bucal. 11(4), e3:82–e3:92 (2006)

    Google Scholar 

  2. Angrist, J.D., Pischke, J.-S.: Mostly Harmless Econometrics: An Empiricist’s Companion. Princeton University Press, Princeton (2009)

    MATH  Google Scholar 

  3. Ashcroft, M.: Performing decision-theoretic inference in Bayesian network ensemble models In: Jaeger,M., Nielsen, T.D., Viappiani, P. (eds.) Twelfth Scandinavian Conference on Artificial Intelligence, Aalborg, vol. 257, pp. 25–34 (2013)

    Google Scholar 

  4. Arnold, A., Liu, Y., Abe, N.: Temporal causal modeling with graphical Granger methods. In: Proceedings of the 13th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining (SIGKDD-07), San Jose, 12–15 Aug 2007. ACM, New York. http://dl.acm.org/citation.cfm?id=1281192&picked=prox

  5. Azhar, N., Ziraldo, C., Barclay, D., Rudnick, D.A., Squires, R.H., Vodovotz, Y., Pediatric Acute Liver Failure Study Group: Analysis of serum inflammatory mediators identifies unique dynamic networks associated with death and spontaneous survival in pediatric acute liver failure. PLoS One. 8(11), e78202 (2013). doi:10.1371/journal.pone.0078202

    Article  Google Scholar 

  6. Bai, Z., Wong, W.K., ZhangB.: Multivariate linear and nonlinear causality tests. Math. Comput. Simul. 81(1), 5–17 (2010)

    Google Scholar 

  7. Barnett, L., Seth, A.K.: The MVGC multivariate Granger causality toolbox: a new approach to Granger-causal inference. J. Neurosci. Methods 223 (2014)

    Google Scholar 

  8. Barr, C.D., Diez, D.M., Wang, Y., Dominici, F., Samet, J.M.: Comprehensive smoking bans and acute myocardial infarction among Medicare enrollees in 387 US counties: 1999–2008. Am. J. Epidemiol. 176(7), 642–648 (2012). Epub 17 Sep 2012

    Article  Google Scholar 

  9. Brenner E, Sontag D. (2013) SparsityBoost: a new scoring function for learning Bayesian network structure. In: 29th Conference on Uncertainty in Artificial Intelligence (UAI2013). Westin Bellevue Hotel, Washington, DC, 11–15 July 2013. http://auai.org/uai2013/prints/papers/30.pdf

  10. Callaghan, R.C., Sanches, M., Gatley, J.M., Stockwell, T.: Impacts of drinking-age laws on mortality in Canada, 1980–2009. Drug Alcohol Depend. 138, 137–145 (2014). doi:10.1016/j.drugalcdep.2014.02.019

    Article  Google Scholar 

  11. Cami, A., Wallstrom, G.L., Hogan, W.R.: Measuring the effect of commuting on the performance of the Bayesian Aerosol Release Detector. BMC Med. Inform. DecisMak. 9(Suppl 1), S7 (2009)

    Article  Google Scholar 

  12. Campbell, D.T., Stanley, J.C.: Experimental and Quasi-experimental Designs for Research. Rand McNally, Chicago (1966)

    Google Scholar 

  13. Chang, K.C., Tian, Z.: Efficient inference for mixed Bayesian networks. In: Proceedings of the Fifth International Conference on Information Fusion, Annapolis, vol. 1, pp 527–534, 8–11 July 2002. IEEE. http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=1021199

  14. Christensen, T.M., Møller, L., Jørgensen, T., Pisinger, C.: The impact of the Danish smoking ban on hospital admissions for acute myocardial infarction. Eur. J. PrevCardiol. 21(1), 65–73 (2014). doi:10.1177/2047487312460213

    Google Scholar 

  15. Corani, G., Antonucci, A., Zaffalon, M.: Bayesian networks with imprecise probabilities: theory and application to classification. In: Holmes, D.E., Jaim, C. (eds.) Data Mining: Foundations and Intelligent Paradigms. Intelligent Systems Reference Library, vol. 23, pp. 49–93 (2012)

    Article  MATH  Google Scholar 

  16. Cox, L.A. Jr., Popken, D.A.: Has reducing fine particulate matter and ozone caused reduced mortality rates in the United States? Ann. Epidemiol. 25(3), 162–173 (2015)

    Article  Google Scholar 

  17. Cox, L.A. Jr., Popken, D.A., Berman, D.W.: Causal versus spurious spatial exposure-response associations in health risk analysis. Crit. Rev. Toxicol. 43(Suppl 1), 26–38 (2013)

    Article  Google Scholar 

  18. Crowson, C.S., Schenck, L.A., Green, A.B., Atkinson, E.J., Therneau, T.M.: The basics of propensity scoring and marginal structural models. Technical report #84, 1 Aug 2013. Department of Health Sciences Research, Mayo Clinic, Rochester. http://www.mayo.edu/research/documents/biostat-84-pdf/doc-20024406

  19. Dash, D., Druzdzel, M.J.: A note on the correctness of the causal ordering algorithm. Artif. Intell. 172, 1800–1808 (2008). http://www.pitt.edu/~druzdzel/psfiles/aij08.pdf

    Article  MathSciNet  MATH  Google Scholar 

  20. De Campos C.P., Ji, Q.:. Efficient structure learning of Bayesian networks using constraints. J. Mach. Learn. Res. 12, 663–689 (2011)

    MathSciNet  MATH  Google Scholar 

  21. Dominici, F., Greenstone, M., Sunstein, C.R.: Science and regulation. Particulate matter matters. Science. 344(6181), 257–259 (2014). doi:10.1126/science.1247348

    Google Scholar 

  22. The Economist: Trouble at the Lab: scientists like to think of science as self-correcting. To an alarming degree, it is not. www.economist.com/news/briefing/21588057-scientists-think-science-self-correcting-alarming-degree-it-not-trouble, 19 Oct 2013

  23. Eichler, M., Didelez, V.: On Granger causality and the effect of interventions in time series. Lifetime Data Anal. 16(1), 3–32 (2010). Epub 26 Nov 2009. http://www.ncbi.nlm.nih.gov/pubmed/19941069

    Article  MathSciNet  MATH  Google Scholar 

  24. EPA (U.S. Environmental Protection Agency): The Benefits and Costs of the Clean Air Act from 1990 to 2020. Final Report – Rev. A. Office of Air and Radiation, Washington, DC (2011)

    Google Scholar 

  25. EPA: Expanded expert judgment assessment of the concentration-response relationship between PM2.5 exposure and mortality. www.epa.gov/ttn/ecas/regdata/Uncertainty/pm_ee_report.pdf (2006)

  26. Exarchos, K.P., Goletsis, Y., Fotiadis, D.I.: A multiscale and multiparametric approach for modeling the progression of oral cancer. BMC Med. Inform. DecisMak. 12, 136 (2012). doi:10.1186/1472-6947-12-136.

    Article  Google Scholar 

  27. Ezzati, M., Hoorn, S.V., Lopez, A.D., Danaei, G., Rodgers, A., Mathers, C.D., Murray, C.J.L.: Comparative quantification of mortality and burden of disease attributable to selected risk factors. In: Lopez, A.D., Mathers, C.D., Ezzati, M., Jamison, D.T., Murray, C.J.L. (eds.) Global Burden of Disease and Risk Factors, chapter 4. World Bank, Washington, DC (2006)

    Google Scholar 

  28. Fann, N., Lamson, A.D., Anenberg, S.C., Wesson, K., Risley, D., Hubbell, B.J.: Estimating the national public health burden associated with exposure to ambient PM2.5 and Ozone. Risk Anal. 32(1), 81–95 (2012)

    Google Scholar 

  29. Ferson, S., Donald, S.: Probability bounds analysis. In: Mosleh, A., Bari, R.A. (eds.) Probabilistic Safety Assessment and Management, pp. 1203–1208. Springer, New York (1998)

    Google Scholar 

  30. Ferson, S., Hajagos, J.G.: Arithmetic with uncertain numbers: rigorous and (often) best possible answers. In: Helton, J.C., Oberkampf, W.L. (eds.) Alternative Representations of Epistemic Uncertainty. Reliability Engineering & System Safety, vol. 85, pp. 135–152; 1–369 (2004)

    Google Scholar 

  31. Freedman, D.A.: Graphical models for causation, and the identification problem. Eval. Rev. 28(4), 267–293 (2004)

    Article  Google Scholar 

  32. Friedman, N., Goldszmidt, M.: Learning Bayesian networks with local structure. In: Jordan, M.I. (ed.) Learning in Graphical Models, pp. 421–459. MIT, Cambridge (1998)

    Chapter  Google Scholar 

  33. Gasparrini, A., Gorini, G., Barchielli, A.: On the relationship between smoking bans and incidence of acute myocardial infarction. Eur. J. Epidemiol. 24(10), 597–602 (2009)

    Article  Google Scholar 

  34. Ghahramani, Z.: Learning dynamic Bayesian networks. In: Giles, C.L., Gori, M. (eds.) Adaptive Processing of Sequences and Data Structures. International Summer School on Neural Networks ”Caianiello, E.R.” Vietri sul Mare, Salerno, 6–13 Sept 1997. Tutorial Lectures. Lecture Notes in Computer Science, vol. 1387 (1998). http://link.springer.com/sbook/10.1007/BFb0053992 http://link.springer.com/bookseries/558 http://mlg.eng.cam.ac.uk/zoubin/SALD/learnDBNs.pdf (1997)

  35. Greenland, S.: Epidemiologic measures and policy formulation: lessons from potential outcomes. Emerg. Themes Epidemiol. 2, 5 (2005)

    Article  Google Scholar 

  36. Greenland, S., Brumback, B.: An overview of relations among causal modelling methods. Int. J. Epidemiol. 31(5), 1030–1037 (2002). http://www.ncbi.nlm.nih.gov/pubmed/12435780

    Article  Google Scholar 

  37. Gruber, S., Logan, R.W., Jarrín, I., Monge, S., Hernán, M.A.: Ensemble learning of inverse probability weights for marginal structural modeling in large observational datasets. Stat. Med. 34(1), 106–117 (2015)

    Article  MathSciNet  Google Scholar 

  38. Grundmann, O.: The current state of bioterrorist attack surveillance and preparedness in the US. Risk Manag. Health Policy. 7, 177–187 (2014)

    Article  Google Scholar 

  39. Hack, C.E., Haber, L.T., Maier, A., Shulte, P., Fowler, B., Lotz, W.G., Savage, R.E., Jr.: A Bayesian network model for biomarker-based dose response. Risk Anal. 30(7), 1037–1051 (2010)

    Article  Google Scholar 

  40. Harris, A.D., Bradham, D.D., Baumgarten, M., Zuckerman, I.H., Fink, J.C., Perencevich, E.N.: The use and interpretation of quasi-experimental studies in infectious diseases. Clin. Infect Dis. 38(11), 1586–1591 (2004)

    Article  Google Scholar 

  41. Harris, A.D., McGregor, J.C., Perencevich, E.N., Furuno, J.P., Zhu, J., Peterson, D.E., Finkelstein, J.: The use and interpretation of quasi-experimental studies in medical informatics. J. Am. Med. Inform. Assoc. 13(1), 16–23 (2006)

    Article  Google Scholar 

  42. Harvard School of Public Health: Press Release: Ban On Coal Burning in Dublin Cleans the Air and Reduces Death Rates www.hsph.harvard.edu/news/press-releases/archives/2002-releases/press10172002.html (2002)

  43. Health Effects Institute (HEI): Impact of Improved Air Quality During the 1996 Summer Olympic Games in Atlanta on Multiple Cardiovascular and Respiratory Outcomes. HEI Research Report #148 (2010). Authors: Jennifer L. Peel, Mitchell Klein, W. Dana Flanders, James A. Mulholland, and Paige E. Tolbert. Health Effects Institute. Boston, MA. http://pubs.healtheffects.org/getfile.php?u=564

  44. Health Effects Institute (HEI): Did the Irish Coal Bans Improve Air Quality and Health? HEI Update. http://pubs.healtheffects.org/getfile.php?u=929 (Summer, 2013). Last Retrieved 1 Feb 2014

  45. Helfenstein, U.: The use of transfer function models, intervention analysis and related time series methods in epidemiology. Int. J. Epidemiol. 20(3), 808–815 (1991)

    Article  Google Scholar 

  46. Hernán, M.A., Taubman, S.L.: Does obesity shorten life? The importance of well-defined interventions to answer causal questions. Int. J. Obes. (Lond.) 32(Suppl 3), S8–S14 (2008)

    Google Scholar 

  47. Hibbs, D.A., Jr.: On analyzing the effects of policy inter ventions: Box-Jenkins and Box-Tiao vs. structural equation models. Sociol. Methodol. 8, 137–179 (1977). http://links.jstor.org/sici?sici=0081-1750%281977%298%3C137%3AOATEOP%3E2.0.CO%3B2-K

    Google Scholar 

  48. Hipel, K.W., Lettenmaier, D.P., McLeod, I.: Assessment of environmental impacts part one: Interv. Anal. Environ. Manag. 2(6), 529–535 (1978)

    Google Scholar 

  49. Hites, R.A., Foran, J.A., Carpenter, D.O., Hamilton, M.C., Knuth, B.A., Schwager, S.J.: Global assessment of organic contaminants in farmed salmon. Science. 303(5655), 226–229 (2004)

    Article  Google Scholar 

  50. Hoeting, J., Madigan, D., Raftery, A., Volinsky, C.: Bayesian model averaging. Stat. Sci. 14, 382–401 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  51. Höfler, M.: The Bradford Hill considerations on causality: a counterfactual perspective. Emerg. Themes Epidemiol. 2, 11 (2005)

    Article  Google Scholar 

  52. Homer, J., Milstein, B., Wile, K., Trogdon, J., Huang, P., Labarthe. D., et al.: Simulating and evaluating local interventions to improve cardiovascular health. Prev. Chronic Dis. 7(1), A18 (2010). www.cdc.gov/pcd/issues/2010/jan/08_0231.htm. Accessed 3 Nov 2015

  53. Hora, S.: Eliciting probabilities from experts. In: Edwards, W., Miles, R.F., von Winterfeldt, D. (eds.) Advances in Decision Analysis: From Foundations to Applications, pp. 129–153. Cambridge University Press, New York (2007)

    Chapter  Google Scholar 

  54. Hoyer, P.O., Hyvärinen, A., Scheines, R., Spirtes, P., Ramsey, J., Lacerda, G., Shimizu, S.: Causal discovery of linear acyclic models with arbitrary distributions. In: Proceedings of the Twenty-Fourth Conference on Uncertainty in Artificial Intelligence - UAI, Helsinki, Conference held 9–12 July 2008, pp. 282–289. http://arxiv.org/ftp/arxiv/papers/1206/1206.3260.pdf

    Google Scholar 

  55. Huitema, B.E., Van Houten, R., Manal, H.: Time-series intervention analysis of pedestrian countdown timer effects. Accid Anal Prev. 72, 23–31 (2014). doi:10.1016/j.aap.2014.05.025

    Article  Google Scholar 

  56. Ioannidis, J.P.A.: Why most published research findings are false. PLoS Med. 2(8), e124 (2005). doi:10.1371/journal.pmed.0020124

    Article  Google Scholar 

  57. James, N.A., Matteson, D.S.: ecp: an R package for nonparametric multiple change point analysis of multivariate data. J. Stat. Softw. 62(7) (2014). http://www.jstatsoft.org/v62/i07/paper

  58. Janzing, D., Balduzzi, D., Grosse-Wentrup, M., Scholkopf, B.: Quantifying causal influences. Ann. Stat. 41(5), 2324–2358 (2013). doi:10.1214/13-AOS1145

    Article  MathSciNet  MATH  Google Scholar 

  59. Jiang, H., Livingston, M., Manton, E.: The effects of random breath testing and lowering the minimum legal drinking age on traffic fatalities in Australian states. Inj. Prev. 21(2), 77–83 (2015). doi:10.1136/injuryprev-2014-041303

    Article  Google Scholar 

  60. Joffe, M., Gambhir, M., Chadeau-Hyam, M., Vineis, P.: Causal diagrams in systems epidemiology. Emerg. Themes Epidemiol. 9(1), 1 (2012). doi:10.1186/1742-7622-9-1

    Article  Google Scholar 

  61. Kahneman, D.: Thinking, Fast and Slow. Farrar, Straus, and Giroux, New York (2011)

    Google Scholar 

  62. Kass-Hout, T.A., Xu, Z., McMurray, P., Park, S., Buckeridge, D.L., Brownstein, J.S., Finelli, L., Groseclose, S.L.: Application of change point analysis to daily influenza-like illness emergency department visits. J. Am. Med. Inform. Assoc. 19(6), 1075–1081 (2012). doi:10.1136/amiajnl-2011-000793

    Article  Google Scholar 

  63. Kinnunen, E., Junttila, O., Haukka, J., Hovi, T.: Nationwide oral poliovirus vaccination campaign and the incidence of Guillain-BarréSyndrome. Am. J. Epidemiol. 147(1), 69–73 (1998)

    Article  Google Scholar 

  64. Kleck, G., Britt, C.L., Bordua, D.: The emperor has no clothes: an evaluation of interrupted time series designs for policy impact assessment. J. Firearms Public Policy 12, 197–247 (2000)

    Google Scholar 

  65. Klein, L.R.: Regression systems of linear simultaneous equations. In: A Textbook of Econometrics, 2nd edn, pp. 131–196. Prentice-Hall, Englewood Cliffs (1974). ISBN:0-13-912832-8

    Google Scholar 

  66. Kline, R.B.: Principles and Practice of Structural Equation Modeling. Guilford Press, New York (1998)

    MATH  Google Scholar 

  67. Koller, D., Milch, B.: Multi-agent influence diagrams for representing and solving games. In: Proceedings of the 17th International Joint Conference on Artificial Intelligence (2001)

    Google Scholar 

  68. Lagarde, M.: How to do (or not to do) … Assessing the impact of a policy change with routine longitudinal data. Health Policy Plan. 27(1), 76–83 (2012). doi: 10.1093/heapol/czr004.

    Article  Google Scholar 

  69. Lebre, S.: Package ’G1DBN’: a package performing dynamic Bayesian network inference. CRAN repository, 19 Feb 2015. https://cran.r-project.org/web/packages/G1DBN/G1DBN.pdf

  70. Lehrer, J.: Trials and errors: why science is failing us. Wired. http://www.wired.co.uk/magazine/archive/2012/02/features/trials-and-errors?page=all, 28 Jan 2012

  71. Lei, H., Nahum-Shan, I., Lynch, K., Oslin, D., Murphy, S.A.: A “SMART” design for building individualized treatment sequences. Ann. Rev. Clin. Psychol. 8, 14.1–14.28 (2012)

    Article  Google Scholar 

  72. Linn, K.A., Laber, E.B., Stefanski LA.: iqLearn: interactive Q-learning in R. https://cran.r-project.org/web/packages/iqLearn/vignettes/iqLearn.pdf (2015)

  73. Lipsitch, M., Tchetgen Tchetgen, E., Cohen, T.: Negative controls: a tool for detecting confounding and bias in observational studies. Epidemiology 21(3), 383–388 (2010)

    Article  Google Scholar 

  74. Lizier, J.T.: JIDT: an information-theoretic toolkit for studying the dynamics of complex systems. Front. Robot. AI 1, 11 (2014); doi:10.3389/frobt.2014.00011 (pre-print: arXiv:1408.3270), http://arxiv.org/pdf/1408.3270.pdf

  75. Lu, C.Y., Soumerai, S.B., Ross-Degnan, D., Zhang, F., Adams, A.S.: Unintended impacts of a Medicaid prior authorization policy on access to medications for bipolar illness. Med Care. 48(1), 4–9 (2010). doi:10.1097/MLR.0b013e3181bd4c10.

    Article  Google Scholar 

  76. Lynch, W.D., Glass, G.V., Tran, Z.V.: Diet, tobacco, alcohol, and stress as causes of coronary artery heart disease: an ecological trend analysis of national data. Yale J. Biol. Med. 61(5), 413–426 (1988)

    Google Scholar 

  77. Maclure, M.: Taxonomic axes of epidemiologic study designs: a refutationist perspective. J. Clin. Epidemiol. 44(10), 1045–1053 (1991)

    Article  Google Scholar 

  78. Madigan, D., Raftery, A.: Model selection and accounting for model uncertainty in graphical models using Occam’s window. J. Am. Stat. Assoc. 89, 1535–1546 (1994)

    Article  MATH  Google Scholar 

  79. Madigan, D., Andersson, S.A., Perlman, M.D., Volinsky, C.M.: Bayesian model averaging and model selection for Markov equivalence classes of acyclic digraphs. Commun. Stat. Theory Methods 25, 2493–2519 (1996)

    Article  MATH  Google Scholar 

  80. McLeod et al. (2011) Time series analysis with R. http://www.stats.uwo.ca/faculty/aim/tsar/tsar.pdf

  81. Montalto, A., Faes, L., Marinazzo, D.: MuTE: a MATLAB toolbox to compare established and novel estimators of the multivariate transfer entropy. PLoS One 9(10), e109462 (2014). doi:10.1371/journal.pone.0109462

    Article  Google Scholar 

  82. Moore, K.L., Neugebauer, R., van der Laan, M.J., Tager, I.B.: Causal inference in epidemiological studies with strong confounding. Stat Med. (2012). doi:10.1002/sim.4469

    MathSciNet  Google Scholar 

  83. Morabia, A.: Hume, Mill, Hill, and the sui generis epidemiologic approach to causal inference. Am. J. Epidemiol. 178(10), 1526–1532 (2013)

    Article  Google Scholar 

  84. Morriss, R., Gask, L., Webb, R., Dixon, C., Appleby, L.: The effects on suicide rates of an educational intervention for front-line health professionals with suicidal patients (the STORM project). Psychol. Med. 35(7), 957–960 (2005)

    Article  Google Scholar 

  85. Nakahara, S., Katanoda, K., Ichikawa, M.: Onset of a declining trend in fatal motor vehicle crashes involving drunk-driving in Japan. J. Epidemiol. 23(3), 195–204 (2013)

    Article  Google Scholar 

  86. Neugebauer, R., Fireman, B., Roy, J.A., Raebel, M.A., Nichols, G.A., O’Connor, P.J.: Super learning to hedge against incorrect inference from arbitrary parametric assumptions in marginal structural modeling. J. Clin. Epidemiol. 66(8 Suppl):S99–S109 (2013). doi:10.1016/j.jclinepi.2013.01.016

    Article  Google Scholar 

  87. Nguefack-Tsague, G.: Using Bayesian networks to model hierarchical relationships in epidemiological studies. Epidemiol. Health 33, e2011006 (2011). doi:10.4178/epih/e2011006. Epub 17 Jun 2011. http://e-epih.org/journal/view.php?doi=10.4178/epih/e2011006

    Article  Google Scholar 

  88. Nuzzo, R.: Scientific method: statistical errors. P values, the ’gold standard’ of statistical validity, are not as reliable as many scientists assume. Nature 506, 150–152 (2014). doi:10.1038/506150a

    Article  Google Scholar 

  89. Owczarek, T.: On modeling asymmetric multi-agent scenarios. In: IEEE International Workshop on Intelligent Data Acquisition and Advanced Computing Systems: Technology and Applications, Rende (Cosenza), 21–23 Sept 2009

    Google Scholar 

  90. Page, D., Ong, I.M.: Experimental design of time series data for learning from dynamic Bayesian networks. Pac. Symp. Biocomput. 2006, 267–278 (2006)

    Google Scholar 

  91. Papana, A., Kyrtsou, C., Kugiumtzis, D., Cees, D.: Detecting causality in non-stationary time series using partial symbolic transfer entropy: evidence in financial data. Comput. Econ. 47(3), 341–365 (2016). http://link.springer.com/article/10.1007%2Fs10614-015-9491-x

    Article  Google Scholar 

  92. Pearl, J.: An introduction to causal inference. Int. J. Biostat. 6(2), Article 7 (2010). doi:10.2202/1557–4679.1203

    Google Scholar 

  93. Polich, K., Gmytrasiewicz, P.: Interactive dynamic influence diagrams. In: Proceedings of the 6th International Joint Conference on Autonomous Agents and Multiagent Systems. ACM, New York. Article No. 34. http://dl.acm.org/citation.cfm?id=1329166

  94. Rau, A.: Package ’ebdbNet’: empirical Bayes estimation of dynamic Bayesian networks. CRAN repository, 19 Feb 2015. https://cran.r-project.org/web/packages/ebdbNet/ebdbNet.pdf

  95. Rhomberg, L.: Hypothesis-based weight of evidence: an approach to assessing causation and its application to regulatory toxicology. Risk Anal. 35(6), 1114–1124 (2015)

    Article  Google Scholar 

  96. Robins, J.M., Hernán, M.A., Brumback, B.: Marginal structural models and causal inference in epidemiology. Epidemiology 11(5), 550–560 (2000)

    Article  Google Scholar 

  97. Robinson, J.W., Hartemink, A.J.: Learning non-stationary dynamic Bayesian networks. J. Mach. Learn. Res. 11, 3647–3680 (2010)

    MathSciNet  MATH  Google Scholar 

  98. Rothman, K.J., Lash, L.L., Greenland, S.: Modern Epidemiology, 3rd edn. Lippincott, Williams, & Wilkins. New York (2012)

    Google Scholar 

  99. Runge, J., Heitzig, J., Petoukhov, V., Kurths, J.: Escaping the curse of dimensionality in estimating multivariate transfer entropy. Phys. Rev. Lett. 108, 258701. Published 21 June 2012

    Google Scholar 

  100. Samet, J.M., Bodurow, C.C. (eds.): Improving the Presumptive Disability Decision-Making Process for Veterans. Committee on Evaluation of the Presumptive Disability Decision-Making Process for Veterans, Board on Military and Veterans Health, Institute of Medicine. National Academies Press, Washington, DC (2008)

    Google Scholar 

  101. Sandri, M., Berchialla, P., Baldi, I., Gregori, D., De Blasi, R.A.: Dynamic Bayesian networks to predict sequences of organ failures in patients admitted to ICU. J. Biomed. Inform. 48, 106–113 (2014). doi:10.1016/j.jbi.2013.12.008

    Article  Google Scholar 

  102. Sarewitz, D.: Beware the creeping cracks of bias. Nature 485, 149 (2012)

    Article  Google Scholar 

  103. Sarewitz, D.: Reproducibility will not cure what ails science. Nature 525(7568), 159 (2015)

    Article  Google Scholar 

  104. Schwartz, J., Austin, E., Bind, M.A., Zanobetti, A., Koutrakis, P.: Estimating causal associations of fine particles with daily deaths in Boston. Am. J. Epidemiol. 182(7), 644–650 (2015)

    Article  Google Scholar 

  105. Scutari, M.: Learning Bayesian networks with the bnlearn R package. J. Stat. Softw. 35(3) (2010). www.jstatsoft.org/v35/i03/paper. Last accessed 5 May 2015

  106. Shen, Y., Cooper, G.F.: A new prior for Bayesian anomaly detection: application to biosurveillance. Methods Inf. Med. 49(1), 44–53 (2010)

    Google Scholar 

  107. Shoham, Y., Leyton-Brown, K.: Multiagent Systems: Algorithmic, Game-Theoretic, and Logical Foundations. Cambridge University Press, Cambridge (2010)

    MATH  Google Scholar 

  108. Skrøvseth, S.O., Bellika, J.G., Godtliebsen, F.: Causality in scale space as an approach to change detection. PLoS One. 7(12), e52253 (2012). doi:10.1371/journal.pone.0052253

    Article  Google Scholar 

  109. Stebbings, J.H., Jr.: Panel studies of acute health effects of air pollution. II. A methodologic study of linear regression analysis of asthma panel data. Environ. Res. 17(1), 10–32 (1978)

    Google Scholar 

  110. Steck, H.: Learning the Bayesian network structure: Dirichlet prior versus data. In: Proceedings of the Twenty-Fourth Conference on Uncertainty in Artificial Intelligence (UAI2008), University of Helsinki City Centre Campus, Helsinki, 9–12 July 2008

    Google Scholar 

  111. Sun, X.: Assessing nonlinear granger causality from multivariate time series. Mach. Learn. Knowl. Discov. Databases. Lect. Notes Comput. Sci. 5212, 440–455 (2008)

    Google Scholar 

  112. Swanson, S.A., Hernán, M.A.: How to report instrumental variable analyses (suggestions welcome). Epidemiology 24(3), 370–374 (2013)

    Article  Google Scholar 

  113. Tashiro, T., Shimizu, S., Hyvärinen, A., Washio T.: ParceLiNGAM: a causal ordering method robust against latent confounders. Neural Comput. 26(1), 57–83 (2014)

    Article  MathSciNet  Google Scholar 

  114. Taubman, S.L., Allen, H.L., Wright, B.J., Baicker, K., Finkelstein, A.N.: Medicaid increases emergency-department use: evidence from Oregon’s health insurance experiment. Science. 343(6168), 263–268 (2014). doi:10.1126/science.1246183

    Article  Google Scholar 

  115. Thornley, S., Marshall, R.J., Wells, S., Jackson, R.: Using directed acyclic graphs for investigating causal paths for cardiovascular disease. J. Biomet. Biostat. 4, 182 (2013). doi:10.4172/2155-6180.1000182

    Article  Google Scholar 

  116. Tong, S., Koller, D.: Active learning for structure in Bayesian networks. In: International Joint Conference on Artificial Intelligence (IJCAI), Seattle (2001)

    Google Scholar 

  117. Twardy, C.R., Nicholson, A.E., Korb, K.B., McNeil, J.: Epidemiological data mining of cardiovascular Bayesian networks. J. Health Inform. 1(1), e3:1–e3:13 (2006)

    Google Scholar 

  118. Vicente, R., Wibral, M., Lindner, M., Pipa, G.: Transfer entropy-a model-free measure of effective connectivity for the neurosciences. J. Comput. Neurosci. 30(1), 45–67 (2011)

    Article  MathSciNet  Google Scholar 

  119. Voortman, M., Dash, D., Druzdzel, M.J.: Learning causal models that make correct manipulationpredictions with time series data. In: Guyon, I., Janzing, D., Schölkopf, B. (eds.) JMLR Workshop and Conference Proceedings, vol. 6, pp. 257–266. NIPS 2008 Workshop on Causality. http://jmlr.csail.mit.edu/proceedings/papers/v6/voortman10a/voortman10a.pdf (2008)

  120. Wang, J., Spitz, M.R., Amos, C.I., et al.: Method for evaluating multiple mediators: Mediating effects of smoking and COPD on the association between the CHRNA5-A3 Variant and Lung Cancer Risk. de Torres JP, ed. PLoS One. 7(10), e47705 (2012). doi:10.1371/journal.pone.0047705

    Google Scholar 

  121. Watt, E.W., Bui, A.A.: Evaluation of a dynamic Bayesian belief network to predict osteoarthritic knee pain using data from the osteoarthritis initiative. AMIA Annul. Symp. Proc. 2008, 788–792 (2008)

    Google Scholar 

  122. Wen, X., Rangarajan, G., Ding, M.: Multivariate Granger causality: an estimation framework based on factorization of the spectral density matrix. Philos. Trans. R. Soc. A 371, 20110610 (2013). http://dx.doi.org/10.1098/rsta.2011.0610

    Article  MathSciNet  MATH  Google Scholar 

  123. Zhang, N.L.: Probabilistic inference in influence diagrams. Comput. Intell. 14, 475–497 (1998)

    Article  MathSciNet  Google Scholar 

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Cox, L.A. (2017). Quantifying and Reducing Uncertainty About Causality in Improving Public Health and Safety. In: Ghanem, R., Higdon, D., Owhadi, H. (eds) Handbook of Uncertainty Quantification. Springer, Cham. https://doi.org/10.1007/978-3-319-12385-1_71

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