A cornerstone of epidemiologic research is to understand the causal pathways from an exposure to an outcome. Mediation analysis based on counterfactuals is an important tool when addressing such questions. However, none of the existing techniques for formal mediation analysis can be applied to survival data. This is a severe shortcoming, as many epidemiologic questions can be addressed only with censored survival data. A solution has been to use a number of Cox models (with and without the potential mediator), but this approach does not allow a causal interpretation and is not mathematically consistent. In this paper, we propose a simple measure of mediation in a survival setting. The measure is based on counterfactuals, and measures the natural direct and indirect effects. The method allows a causal interpretation of the mediated effect (in terms of additional cases per unit of time) and is mathematically consistent. The technique is illustrated by analyzing socioeconomic status, work environment, and long-term sickness absence. A detailed implementation guide is included in an online eAppendix (http://links.lww.com/EDE/A476).
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Univ Salerno, Dipartimento Sci Econom & Stat DISES, Fisciano, ItalyUniv Salerno, Dipartimento Sci Econom & Stat DISES, Fisciano, Italy
Destefanis, Sergio
Maietta, Ornella Wanda
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Univ Napoli Federico II, Dipartimento Sci Econom & Stat, Naples, ItalyUniv Salerno, Dipartimento Sci Econom & Stat DISES, Fisciano, Italy
Maietta, Ornella Wanda
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Mazzotta, Fernanda
Parisi, Lavinia
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Univ Salerno, Dipartimento Sci Econom & Stat DISES, Fisciano, Italy
Univ Salerno, Dipartimento Sci Econ & Stat DISES, Via Giovanni Paolo 2 123, Fisciano, Salerno, ItalyUniv Salerno, Dipartimento Sci Econom & Stat DISES, Fisciano, Italy
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COLORADO STATE UNIV, DEPT FISHERY & WILDLIFE BIOL, FT COLLINS, CO 80523 USACOLORADO STATE UNIV, DEPT FISHERY & WILDLIFE BIOL, FT COLLINS, CO 80523 USA
Howe, FP
Knight, RL
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COLORADO STATE UNIV, DEPT FISHERY & WILDLIFE BIOL, FT COLLINS, CO 80523 USACOLORADO STATE UNIV, DEPT FISHERY & WILDLIFE BIOL, FT COLLINS, CO 80523 USA
Knight, RL
McEwen, LC
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COLORADO STATE UNIV, DEPT FISHERY & WILDLIFE BIOL, FT COLLINS, CO 80523 USACOLORADO STATE UNIV, DEPT FISHERY & WILDLIFE BIOL, FT COLLINS, CO 80523 USA
McEwen, LC
George, TL
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COLORADO STATE UNIV, DEPT FISHERY & WILDLIFE BIOL, FT COLLINS, CO 80523 USACOLORADO STATE UNIV, DEPT FISHERY & WILDLIFE BIOL, FT COLLINS, CO 80523 USA
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Indian Stat Inst, Agr & Ecol Res Unit, Kolkata 700108, IndiaIndian Stat Inst, Agr & Ecol Res Unit, Kolkata 700108, India
Tiwari, Pankaj Kumar
Bulai, Iulia Martina
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Univ Turin, Dipartimento Matemat Giuseppe Peano, Via Carlo Alberto 10, I-10123 Turin, ItalyIndian Stat Inst, Agr & Ecol Res Unit, Kolkata 700108, India
Bulai, Iulia Martina
Misra, Arvind Kumar
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Banaras Hindu Univ, Inst Sci, Dept Math, Varanasi 221005, Uttar Pradesh, IndiaIndian Stat Inst, Agr & Ecol Res Unit, Kolkata 700108, India