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Competing risk bias to explain the inverse relationship between smoking and malignant melanoma

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Abstract

The relationship between smoking and melanoma remains unclear. Among the different results is the paradoxical finding that smoking was shown to be inversely associated with the risk of malignant melanoma in some large cohort and case-control studies, even after control for suspected confounding variables. Smoking is a known risk factor for many non-communicable diseases, including coronary heart disease, stroke, as well as other malignancies; it has been shown to be positively associated with other types of skin cancer, and there remains no clear biologic explanation for a possible protective effect on malignant melanoma. In this paper, we propose a plausible mechanism of bias from smoking-related competing risks that may explain or contribute to the inverse association between smoking and melanoma as spurious. Using directed acyclic graphs for formalization and visualization of assumptions, and Monte Carlo simulation techniques, we demonstrate how published inverse associations might be compatible with selection bias resulting from uncontrolled or unmeasured common causes of competing outcomes of smoking-related diseases and malignant melanoma. We present results from various scenarios assuming a true null as well as a true positive association between smoking and malignant melanoma. Under a true null assumption, we find inverse associations due to the biasing mechanism to be compatible with published results in the literature, especially after the addition of unmeasured confounding variables. This study could be seen as offering a cautionary note in the interpretation of published smoking-melanoma findings.

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Abbreviations

CA:

Cancer

COPD:

Chronic obstructive pulmonary disease

CR:

Competing risk

DAG:

Directed acyclic graph

HD:

Heart disease

MM:

Malignant melanoma

OR:

Odds ratio

SM:

Smoking

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Acknowledgments

This work was supported by the National Institutes of Health [grant number CA09142]. CAT was supported by a pre-doctoral fellowship from the National Institutes of Health, National Cancer Institute T32 CA09142. OAA was supported by a Veni career grant (# 916.96.059) from the Netherlands Organization for Scientific Research (NWO). Preliminary results from this study were presented in a spotlight session at the 3rd North American Congress of Epidemiology, in Montreal, Canada, in June 2011. The authors wish to thank Maral DerSarkissian for her comments on earlier drafts of this work.

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The authors declare they have no conflict of interest.

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Correspondence to Caroline A. Thompson.

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Thompson, C.A., Zhang, ZF. & Arah, O.A. Competing risk bias to explain the inverse relationship between smoking and malignant melanoma. Eur J Epidemiol 28, 557–567 (2013). https://doi.org/10.1007/s10654-013-9812-0

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