Measuring additive interaction using odds ratios

Epidemiologic Perspectives & Innovations - 2006
Linda Kalilani1, Julius Atashili1
1Department of Epidemiology, School of Public Health, University of North Carolina at Chapel Hill, USA

Tóm tắt

AbstractInteraction measured on the additive scale has been argued to be better correlated with biologic interaction than when measured on the multiplicative scale. Measures of interaction on the additive scale have been developed using risk ratios. However, in studies that use odds ratios as the sole measure of effect, the calculation of these measures of additive interaction is usually performed by directly substituting odds ratios for risk ratios. Yet assessing additive interaction based on replacing risk ratios by odds ratios in formulas that were derived using the former may be erroneous. In this paper, we evaluate the extent to which three measures of additive interaction – the interaction contrast ratio (ICR), the attributable proportion due to interaction (AP), and the synergy index (S), estimated using odds ratios versus using risk ratios differ as the incidence of the outcome of interest increases in the source population and/or as the magnitude of interaction increases. Our analysis shows that the difference between the two depends on the measure of interaction used, the type of interaction present, and the baseline incidence of the outcome. Substituting odds ratios for risk ratios, when calculating measures of additive interaction, may result in misleading conclusions. Of the three measures, AP appears to be the most robust to this direct substitution. Formulas that use stratum specific odds and odds ratios to accurately calculate measures of additive interaction are presented.

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Tài liệu tham khảo

Miettinen O: Confounding and effect-modification. Am J Epidemiol 1974, 100:350–353.

Ahlbom A, Alfredsson L: Interaction: A word with two meanings creates confusion. Eur J Epidemiol 2005, 20:563–564.

Rothman KJ, Greenland S, Ed: Modern epidemiology Lippncott Williams and Wilkins, Philadelphia, PA 1998.

Thompson WD: Effect modification and the limits of biological inference from epidemiologic data. J Clin Epidemiol 1991, 44:221–232.

Greenland S, Poole C: Invariants and noninvariants in the concept of interdependent effects. Scand J Work Environ Health 1988, 14:125–129.

Rothman KJ: Synergy and antagonism in cause-effect relationships. Am J Epidemiol 1974, 99:385–388.

Rothman KJ: The estimation of synergy or antagonism. Am J Epidemiol 1976, 103:506–511.

Rothman KJ, Greenland S, Walker AM: Concepts of interaction. Am J Epidemiol 1980, 112:467–470.

Rothman KJ, Ed: Modern epidemiology Little, Brown and Company, Boston, MA 1986.

Darroch J: Biologic synergism and parallelism. Am J Epidemiol 1997, 145:661–668.

Koopman JS, Weed DL: Epigenesis theory: A mathematical model relating causal concepts of pathogenesis in individuals to disease patterns in populations. Am J Epidemiol 1990, 132:366–390.

Skrondal A: Interaction as departure from additivity in case-control studies: A cautionary note. Am J Epidemiol 2003, 158:251–258.

Rodrigues L, Kirkwood BR: Case-control designs in the study of common diseases: Updates on the demise of the rare disease assumption and the choice of sampling scheme for controls. Int J Epidemiol 1990, 19:205–213.

Zocchetti C, Consonni D, Bertazzi PA: Relationship between prevalence rate ratios and odds ratios in cross-sectional studies. Int J Epidemiol 1997, 26:220–223.

Davies HT, Crombie IK, Tavakoli M: When can odds ratios mislead? BMJ 1998, 316:989–991.

Morabia A, Ten Have T, Landis JR: Interaction fallacy. J Clin Epidemiol 1997, 50:809–812.

Campbell UB, Gatto NM, Schwartz S: Distributional interaction: Interpretational problems when using incidence odds ratios to assess interaction. Epidemiol Perspect Innov 2005, 2:1.

Moceri VM, Kukull WA, Emanual I, van Belle G, Starr JR, Schellenberg GD, McCormick WC, Bowen JD, Teri L, Larson EB: Using census data and birth certificates to reconstruct the early-life socioeconomic environment and the relation to the development of alzheimer's disease. Epidemiology 2001, 12:383–389.

Solovieva S, Lohiniva J, Leino-Arjas P, Raininko R, Luoma K, Ala-Kokko L, Riihimaki H: COL9A3 gene polymorphism and obesity in intervertebral disc degeneration of the lumbar spine: Evidence of gene-environment interaction. Spine 2002, 27:2691–2696.

Padyukov L, Silva C, Stolt P, Alfredsson L, Klareskog L: A gene-environment interaction between smoking and shared epitope genes in HLA-DR provides a high risk of seropositive rheumatoid arthritis. Arthritis Rheum 2004, 50:3085–3092.

Olshan AF, Weissler MC, Watson MA, Bell DA: Risk of head and neck cancer and the alcohol dehydrogenase 3 genotype. Carcinogenesis 2001, 22:57–61.

Donato F, Tagger A, Gelatti U, Parrinello G, Boffetta P, Albertini A, Decarli A, Trevisi P, Ribero ML, Martelli C, et al.: Alcohol and hepatocellular carcinoma: The effect of lifetime intake and hepatitis virus infections in men and women. Am J Epidemiol 2002, 155:323–331.

Garcia Rodriguez LA, Varas-Lorenzo C, Maguire A, Gonzalez-Perez A: Nonsteroidal antiinflammatory drugs and the risk of myocardial infarction in the general population. Circulation 2004, 109:3000–3006.

Green RM, Custovic A, Sanderson G, Hunter J, Johnston SL, Woodcock A: Synergism between allergens and viruses and risk of hospital admission with asthma: Case-control study. BMJ 2002, 324:763.

Rauscher GH, Sandler DP, Poole C, Pankow J, Shore D, Bloomfield CD, Olshan AF: Is family history of breast cancer a marker of susceptibility to exposures in the incidence of de novo adult acute leukemia? Cancer Epidemiol Biomarkers Prev 2003, 12:289–294.

Lee CH, Lee JM, Wu DC, Hsu HK, Kao EL, Huang HL, Wang TN, Huang MC, Wu MT: Independent and combined effects of alcohol intake, tobacco smoking and betel quid chewing on the risk of esophageal cancer in taiwan. Int J Cancer 2005, 113:475–482.

Hauser R, Williams P, Altshul L, Calafat AM: Evidence of interaction between polychlorinated biphenyls and phthalates in relation to human sperm motility. Environ Health Perspect 2005, 113:425–430.

Greenland S: Model-based estimation of relative risks and other epidemiologic measures in studies of common outcomes and in case-control studies. Am J Epidemiol 2004, 160:301–305.

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