Survival Bias When Assessing Risk Factors for Age-Related Macular Degeneration: A Tutorial with Application to the Exposure of Smoking

References

• Gohdes DM, Balamurugan A, Larsen BA, et al. Age-related eye diseases: an emerging challenge for public health professionals. Prevent Chronic Dis 2005;2:1–6.
   Google Scholar
• Cugati S, Cumming RG, Smith W, et al. Visual impairment, age-related macular degeneration, cataract, and long-term mortality – The Blue Mountains Eye Study. Arch Ophthalmol 2007;125:917–924.
   PubMedGoogle Scholar
• Knudtson MD, Klein BEK, Klein R. Age-related eye disease, visual impairment, and survival – The Beaver Dam Eye Study. Arch Ophthalmol 2006;124:243–249.
   PubMedGoogle Scholar
• Chew EY, Clemons TE, Agron E, et al. Long-term effects of vitamins C and E, beta-Carotene, and zinc on age-related macular degeneration AREDS report no. 35. Ophthalmology 2013;120:1604–1611.
   Google Scholar
• Glymour MM, Weuve J, Chen JT. Methodological challenges in causal research on racial and ethnic patterns of cognitive trajectories: measurement, selection, and bias. Neuropsychol Rev 2008;18:194–213.
   PubMed Web of Science ®Google Scholar
• Thornton J, Edwards R, Mitchell P, et al. Smoking and age-related macular degeneration: a review of association. Eye 2005;19:935–944.
   PubMed Web of Science ®Google Scholar
• Banks E, Joshy G, Weber MF, et al. Tobacco smoking and all-cause mortality in a large Australian cohort study: findings from a mature epidemic with current low smoking prevalence. BMC Med 2015;13:281–290.
   PubMed Web of Science ®Google Scholar
• Fagerstrom K. The epidemiology of smoking – Health consequences and benefits of cessation. Drugs 2002;62:1–9.
   PubMed Web of Science ®Google Scholar
• Dawid AP. Causal inference without counterfactuals. J Am Statist Assn 2000;95(450):407–424.
   Web of Science ®Google Scholar
• Rubin DB. Causal inference without counterfactuals – Comment. J Am Statist Assn 2000;95(450):435–438.
   Google Scholar
• Frangakis CE, Rubin DB. Principal stratification in causal inference. Biometrics 2002;58:21–29.
   PubMed Web of Science ®Google Scholar
• Zhang JL, Rubin DB. Estimation of causal effects via principal stratification when some outcomes are truncated by ‘death’. J Educat Behav Statist 2003;28:353–368.
   Web of Science ®Google Scholar
• Hayden D, Pauler DK, Schoenfeld D. An estimator for treatment comparisons among survivors in randomized trials. Biometrics 2005;61(1):305–310.
   PubMed Web of Science ®Google Scholar
• Egleston BL, Scharfstein DO, Freeman EE, et al. Causal inference for non-mortality outcomes in the presence of death. Biostatistics 2007;8:526–545.
   PubMed Web of Science ®Google Scholar
• Giles GG. The Melbourne study of diet and cancer. Proc Nutr Soc Aus 1990;15(1990):94–103.
   Google Scholar
• Aung KZ, Robman L, Chong EWT, et al. Non-mydriatic digital macular photography: how good is the second eye photograph? Ophthalmic Epidemiol 2009;16:254–261.
   PubMed Web of Science ®Google Scholar
• Williamson EJ, Aitken Z, Lawrie J, et al. Introduction to causal diagrams for confounder selection. Respirology 2014;19:303–311.
   PubMed Web of Science ®Google Scholar
• Klein R. The prevalence of age-related eye diseases and visual impairment in aging: current estimates. Invest Ophthalmol Vis Sci 2013;54(14):ORSF5–ORSF13.
   PubMed Web of Science ®Google Scholar
• Amirul Islam FM, Chong EW, Hodge AM, et al. Dietary patterns and their associations with age-related macular degeneration: the Melbourne collaborative cohort study. Ophthalmology 2014;121:1428–1434.
   PubMed Web of Science ®Google Scholar
• Dandona R, Dandona L. Socioeconomic status and blindness. Br J Ophthalmol 2001;85:1484–1488.
   PubMed Web of Science ®Google Scholar
• Trichopoulou A, Costacou T, Bamia C, et al. Adherence to a Mediterranean diet and survival in a Greek population. N Engl J Med 2003;348:2599–2608.
   PubMed Web of Science ®Google Scholar
• ABS. Socio-economic indexes for areas (Seifa). ACT, Australia: Australian Bureau of Statistics, 2011.
   Google Scholar
• Ferris FL, 3rd, Wilkinson CP, Bird A, et al. Clinical classification of age-related macular degeneration. Ophthalmology 2013;120:844–851.
   PubMed Web of Science ®Google Scholar
• Rubin DB. Estimating causal effects of treatments in randomized and nonrandomized studies. J Educat Psychol 1974;66:688–701.
   Web of Science ®Google Scholar
• Imbens GW, Angrist JD. Identification and estimation of local average treatment effects. Econometrica 1994;62:467–475.
   Web of Science ®Google Scholar
• Chiba Y. Estimation and sensitivity analysis of the survivor average causal effect under the monotonicity assumption. J Biomet Biostat 2012;3:116–118.
   Google Scholar
• Chiba Y, VanderWeele TJ. A simple method for principal strata effects when the outcome has been truncated due to death. Am J Epidemiol 2011;173:745–751.
   PubMed Web of Science ®Google Scholar
• Rosenbaum PR, Rubin DB. The central role of the propensity score in observational studies for causal effects. Biometrika 1983;70:41–55.
   Web of Science ®Google Scholar
• Rubin DB. Inference and missing data. Biometrika 1976;63:581–590.
   Web of Science ®Google Scholar
• Cox DR. Some problems connected with statistical inference. Ann Math Stat 1958;29:357–372.
   Google Scholar
• Rubin DB. Randomization analysis of experimental data: the Fisher randomisation test – Comment. J Am Stat Assn 1980;75(371):591–593.
   Web of Science ®Google Scholar
• Mitchell P, Economics DA. Eyes on the future: a clear outlook on age-related macular degeneration. Sydney: Macular Degeneration Foundation, 2011.
   Google Scholar
• Wong WL, Su X, Li X, et al. Global prevalence of age-related macular degeneration and disease burden projection for 2020 and 2040: a systematic review and meta-analysis. Lancet Global Health 2014;2:e106–e116.
   PubMed Web of Science ®Google Scholar
• Carpenter J, Bithell J. Bootstrap confidence intervals: when, which, what? A practical guide for medical statisticians. Stat Med 2000;19:1141–1164.
   PubMed Web of Science ®Google Scholar
• Robins JM. An analytic method for randomized trials with informative censoring: Part 1. Lifetime Data Anal 1995;1:241–254.
   PubMedGoogle Scholar