References
- P.C. Austin, Absolute risk reductions, relative risks, relative risk reductions, and numbers needed to treat can be obtained from a logistic regression model, J. Clin. Epidemiol. 63 (2010), pp. 2–6. doi: 10.1016/j.jclinepi.2008.11.004
- G.S. Bieler, G.G. Brown, R.L. Williams, and D.J. Brogan, Estimating model-adjusted risks, risk differences, and risk ratios from complex survey data, Am. J. Epidemiol. 171 (2010), pp. 618–623. doi: 10.1093/aje/kwp440
- J. Carpenter and J. Bithell, Bootstrap confidence intervals: When, which, what? A practical guide for medical statisticians, Stat. Med. 19 (2000), pp. 1141–1164. doi: 10.1002/(SICI)1097-0258(20000515)19:9<1141::AID-SIM479>3.0.CO;2-F
- A.C. Davison and D.V. Hinkley, Bootstrap Methods and their Application, Cambridge University Press, Cambridge, 1997.
- M.H. Gail, S. Wieand, and S. Piantadosi, Biased estimates of treatment effect in randomized experiments with nonlinear regressions and omitted covariates, Biometrika 71 (1984), pp. 431–444. doi: 10.1093/biomet/71.3.431
- B.I. Graubard and E.L. Korn, Predictive margins with survey data, Biometrics 55 (1999), pp. 652–659. doi: 10.1111/j.0006-341X.1999.00652.x
- S. Greenland, Interval estimation by simulation as an alternative to and extension of confidence intervals, Int. J. Epidemiol. 33 (2004), pp. 1389–1397. doi: 10.1093/ije/dyh276
- S. Greenland, Model-based estimation of relative risk and other epidemiologic measures in studies of common outcomes and case-control studies, Am. J. Epidemiol. 160 (2004), pp. 301–305. doi: 10.1093/aje/kwh221
- S. Greenland, Interactions in epidemiology: Relevance, identification and estimation, Epidemiology 20 (2009), pp. 14–17. doi: 10.1097/EDE.0b013e318193e7b5
- S. Greenland and J.M. Robins, Identifiability, exchangeability, and epidemiological confounding, Int. J. Epidemiol. 15 (1986), pp. 413–419. doi: 10.1093/ije/15.3.413
- S. Greenland, J.M. Robins, and J. Pearl, Confounding and collapsibility in causal inference, Statist. Sci. 14 (1999), pp. 29–46. doi: 10.1214/ss/1009211805
- J. Guo and Z. Geng, Collapsibility of logistic regression coefficients, J. R. Stat. Soc. B 57 (1995), pp. 63–267.
- P.W. Lane and J.A. Nelder, Analysis of covariance and standardization as instance of prediction, Biometrics 38 (1982), pp. 613–621. doi: 10.2307/2530043
- Y. Lee and J.A. Nelder, Conditional and marginal models: Another view, Statist. Sci. 19 (2004), pp. 219–238. doi: 10.1214/088342304000000305
- J.K. Lindsey, Parametric Statistical Inference, Clarendon Press, Oxford, 1996.
- P. Malfertheiner, F. Megraud, C. O’Morain, F. Bazzoli, E. El-Omar, D. Graham, R. Hunt, T. Rokkas, N. Vakil, and E.J. Kuipers, Current concepts in the management of Helicobacter pylori infection: The Maastricht III Consensus Report, Gut 56 (2007), pp. 772–781. doi: 10.1136/gut.2006.101634
- F. Megraud, H. pylori antibiotic resistance: Prevalence, importance, and advances in testing, Gut 53 (2004), pp. 1374–1384. doi: 10.1136/gut.2003.022111
- T.V.H. Nguyen, C. Bengtsson, G.K. Nguyen, T.T.H. Hoang, D.C. Phung, M. Sorberg, and M. Granstrom, Evaluation of two triple-therapy regiments with metronidazole or clarithromycin for the eradication of H. pylori infection in Vietnamese children, a randomized, double blind clinical trial, Helicobacter 13 (2008), pp. 550–556. doi: 10.1111/j.1523-5378.2008.00628.x
- P.R. Rosenbaum, Observational Studies, Springer, New York, 1995.
- P.R. Rosenbaum and D.B. Rubin, The central role of the propensity score in observational studies for causal effects, Biometrika 70 (1983), pp. 41–55. doi: 10.1093/biomet/70.1.41
- K.J. Rothman, S. Greenland, and T.L. Lash, Modern Epidemiology, 3rd ed., Lippincott Williams & Wilkins, Philadelphia, 2008.
- K.J. Rothman, S. Greenland, and A.M. Walker, Concepts of interaction, Am. J. Epidemiol. 112 (1980), pp. 467–470.
- D.B. Rubin, X. Wang, L. Yin, and E. Zell, Estimating the effect of treating hospital type on cancer survival in Sweden using principal stratification, in The Handbook of Applied Bayesian Analysis, T. O’Hagan and M. West, eds., Oxford University Press, Oxford, 2010, pp. 679–708.
- T.J. VanderWeele, On the distinction between interaction and effect modification, Am. J. Epidemiol. 20 (2009), pp. 863–871. doi: 10.1097/EDE.0b013e3181ba333c
- X. Wang, Y. Jin, and L. Yin, Measuring and estimating treatment effect on dichotomous outcome of a population, Stat. Methods Med. Res. 25 (2016), pp. 1779–1790. doi: 10.1177/0962280213502146
- X. Wang and L. Yin, Point and interval estimation of baseline risk and treatment effect based on logistic model for observational studies, Biom. J. 57 (2015), pp. 441–452. doi: 10.1002/bimj.201400019