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Published on: June 21, 2018
Assessing causal mechanistic interactions: a peril ratio index of synergy based on multiplicativity
1Research Center for Genes, Environment and Human Health, College of Public Health, National Taiwan University, Taipei, Taiwan. wenchung@ntu.edu.tw
Abstract:
The assessments of interactions in epidemiology have traditionally been based on risk-ratio, odds-ratio or rate-ratio multiplicativity. However, many epidemiologists fail to recognize that this is mainly for statistical conveniences and often will misinterpret a statistically significant interaction as a genuine mechanistic interaction. The author adopts an alternative metric system for risk, the 'peril'. A peril is an exponentiated cumulative rate, or simply, the inverse of a survival (risk complement) or one plus an odds. The author proposes a new index based on multiplicativity of peril ratios, the 'peril ratio index of synergy based on multiplicativity' (PRISM). Under the assumption of no redundancy, PRISM can be used to assess synergisms in sufficient cause sense, i.e., causal co-actions or causal mechanistic interactions. It has a less stringent threshold to detect a synergy as compared to a previous index of 'relative excess risk due to interaction'. Using the new PRISM criterion, many situations in which there is not evidence of interaction judged by the traditional indices are in fact corresponding to bona fide positive or negative synergisms.
Insights
This study introduces a new metric, the peril ratio index of synergy based on multiplicativity (PRISM), to better assess mechanistic interactions in epidemiology. PRISM identifies genuine causal synergisms missed by traditional statistical methods.
Area of Science:
- Epidemiology
- Biostatistics
- Causal Inference
Background:
- Traditional epidemiological interaction assessment relies on statistical convenience metrics like risk-ratios.
- These methods often lead to misinterpretation of statistical significance as mechanistic interaction.
- A novel metric system for risk, 'peril,' is introduced as an alternative.
Purpose of the Study:
- To propose a new index, the peril ratio index of synergy based on multiplicativity (PRISM), for assessing mechanistic interactions.
- To demonstrate PRISM's ability to detect synergisms in the sufficient cause sense.
- To compare PRISM's sensitivity with existing interaction indices.
Main Methods:
- Adoption of 'peril' as an alternative risk metric.
- Development of PRISM based on the multiplicativity of peril ratios.
- Assumption of no redundancy for assessing causal co-actions.
Main Results:
- PRISM can identify causal mechanistic interactions (synergisms) under the no redundancy assumption.
- PRISM exhibits a less stringent threshold for synergy detection compared to the relative excess risk due to interaction.
- The new criterion reveals bona fide synergisms in situations previously deemed non-interactive.
Conclusions:
- PRISM offers a more accurate approach to identifying genuine epidemiological interactions.
- The metric provides a valuable tool for understanding causal co-actions in disease etiology.
- Epidemiological research can benefit from employing PRISM for more precise interaction assessment.
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