803
Views
14
CrossRef citations to date
0
Altmetric
Theory and Methods

Randomization Inference and Sensitivity Analysis for Composite Null Hypotheses With Binary Outcomes in Matched Observational Studies

, , &
Pages 321-331 | Received 01 Apr 2015, Published online: 03 May 2017

References

  • Angrist, J. D., Imbens, G. W., and Rubin, D. B. (1996), “Identification of Causal Effects Using Instrumental Variables,” Journal of the American Statistical Association, 91, 444–455.
  • Baiocchi, M., Small, D. S., Lorch, S., and Rosenbaum, P. R. (2010), “Building a Stronger Instrument in an Observational Study of Perinatal Care for Premature Infants,” Journal of the American Statistical Association, 105, 1285–1296.
  • Bertsimas, D., and Tsitsiklis, J. N. (1997), Introduction to Linear Optimization ( Vol. 6), Belmont, MA: Athena Scientific.
  • Cornfield, J., Haenszel, W., Hammond, E. C., Lilienfeld, A. M., Shimkin, M. B., and Wynder, E. L. (1959), “Smoking and Lung Cancer: Recent Evidence and a Discussion of Some Questions,” Journal of the National Cancer Institute, 22, 173–203.
  • Ding, P., and Vanderweele, T. J. (2014), “Generalized Cornfield Conditions for the Risk Difference,” Biometrika, 101, 971–977.
  • Dinkelbach, W. (1967), “On Nonlinear Fractional Programming,” Management Science, 13, 492–498.
  • Fisher, R. A. (1935), The Design of Experiments, Edinburgh, UK: Oliver & Boyd.
  • Fogarty, C. B., Mikkelsen, M. E., Gaieski, D. F., and Small, D. S. (2016), “Discrete Optimization for Interpretable Study Populations and Randomization Inference in an Observational Study of Severe Sepsis Mortality,” Journal of the American Statistical Association, 111, 447–458.
  • Gastwirth, J. L., Krieger, A. M., and Rosenbaum, P. R. (2000), “Asymptotic Separability in Sensitivity Analysis,” Journal of the Royal Statistical Society, Series B, 62, 545–555.
  • Hammond, E. C. (1964), “Smoking in Relation to Mortality and Morbidity. Findings in First Thirty-Four Months of Follow-up in a Prospective Study Started in 1959,” Journal of the National Cancer Institute, 32, 1161–1188.
  • Hansen, B. B. (2004), “Full Matching in an Observational Study of Coaching for the SAT,” Journal of the American Statistical Association, 99, 609–618.
  • Hodges, J. L., and Lehmann, E. L. (1963), “Estimates of Location Based on Rank Tests,” The Annals of Mathematical Statistics, 34, 598–611.
  • Holland, P. W. (1988), “Causal Inference, Path Analysis and Recursive Structural Equations Models,” Sociological Methodology, 18, 449–484.
  • Jencks, S. F., Williams, M. V., and Coleman, E. A. (2009), “Rehospitalizations Among Patients in the Medicare Fee-for-Service Program,” New England Journal of Medicine, 360, 1418–1428.
  • Jones, T. K., Fuchs, B. D., Small, D. S., Halpern, S. D., Hanish, A., Umscheid, C. A., Baillie, C. A., Kerlin, M. P., Gaieski, D. F., and Mikkelsen, M. E. (2015), “Post-Acute Care Use and Hospital Readmission After Sepsis,” Annals of the American Thoracic Society, 12, 904–913.
  • Jünger, M., Liebling, T. M., Naddef, D., Nemhauser, G. L., Pulleyblank, W. R., Reinelt, G., Rinaldi, G., and Wolsey, L. A. (2009), 50 Years of Integer Programming 1958-2008, New York: Springer Science & Business Media.
  • Keele, L., Small, D., and Grieve, R. (2016), “Randomization Based Instrumental Variables Methods for Binary Outcomes With an Application to the IMPROVE Trial,” Journal of the Royal Statistical Society, Series A. doi: 10.1111/rssa.12209.
  • Mantel, N., and Haenszel, W. (1959), “Statistical Aspects of the Analysis of Data From Retrospective Studies of Disease,” Journal of the National Cancer Institute, 22, 719–748.
  • Margot, F. (2010), “Symmetry in Integer Linear Programming,” in 50 Years of Integer Programming 1958-2008, New York: Springer, pp. 647–686.
  • Mechanic, R. (2014), “Post-Acute Care: The Next Frontier for Controlling Medicare Spending,” New England Journal of Medicine, 370, 692–694.
  • Ming, K., and Rosenbaum, P. R. (2000), “Substantial Gains in Bias Reduction From Matching With a Variable Number of Controls,” Biometrics, 56, 118–124.
  • Mitchell, J. E. (2002), “Branch-and-Cut Algorithms for Combinatorial Optimization Problems,” in Handbook of Applied Optimization, eds. P. M. Pardalos and M. G. C. Resende, Oxford, UK: Oxford University Press, pp. 65–77.
  • Neyman, J. (1923), “On the Application of Probability Theory to Agricultural Experiments. Essay on Principles. Section 9 (In Polish),” Roczniki Nauk Roiniczych, X, 1–51; reprinted in Statistical Science, 1990, 5, 463–480.
  • Ottenbacher, K. J., Karmarkar, A., Graham, J. E., Kuo, Y.-F., Deutsch, A., Reistetter, T. A., Al Snih, S., and Granger, C. V. (2014), “Thirty-Day Hospital Readmission Following Discharge From Postacute Rehabilitation in Fee-for-Service Medicare Patients,” Journal of the American Medical Association, 311, 604–614.
  • Rigdon, J., and Hudgens, M. G. (2015), “Randomization Inference for Treatment Effects on a Binary Outcome,” Statistics in Medicine, 34, 924–935.
  • Rosenbaum, P. R. (2001), “Effects Attributable to Treatment: Inference in Experiments and Observational Studies With a Discrete Pivot,” Biometrika, 88, 219–231.
  • ——— (2002a), “Attributing Effects to Treatment in Matched Observational Studies,” Journal of the American Statistical Association, 97, 183–192.
  • ——— (2002b), Observational Studies, New York: Springer.
  • ——— (2010), Design of Observational Studies, New York: Springer.
  • Rosenbaum, P. R., and Krieger, A. M. (1990), “Sensitivity of Two-Sample Permutation Inferences in Observational Studies,” Journal of the American Statistical Association, 85, 493–498.
  • Rosenbaum, P. R., and Rubin, D. B. (1983), “The Central Role of the Propensity Score in Observational Studies for Causal Effects,” Biometrika, 70, 41–55.
  • ——— (1974), “Estimating Causal Effects of Treatments in Randomized and Nonrandomized Studies,” Journal of Educational Psychology, 66, 688–701.
  • Rubin, D. B. (1986), “Which Ifs Have Causal Answers,” Journal of the American Statistical Association, 81, 961–962.
  • Stuart, E. A. (2010), “Matching Methods for Causal Inference: A Review and a Look Forward,” Statistical Science, 25, 1–21.
  • Van der Vaart, A. W. (2000), Asymptotic Statistics ( Vol. 3), Cambridge, UK: Cambridge University Press.
  • Yang, F., Zubizarreta, J. R., Small, D. S., Lorch, S., and Rosenbaum, P. R. (2014), “Dissonant Conclusions When Testing the Validity of an Instrumental Variable,” The American Statistician, 68, 253–263.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.