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Model averaging in microbial risk assessment using fractional polynomials
Harriet Namata1, Marc Aerts, Christel Faes
1Hasselt University, Center for Statistics, Campus Diepenbeek, Agoralaan, Gebouw D, B 3590 Diepenbeek, Belgium. harriet.namata@uhasselt.be
Abstract:
The alleviation of food-borne diseases caused by microbial pathogen remains a great concern in order to ensure the well-being of the general public. The relation between the ingested dose of organisms and the associated infection risk can be studied using dose-response models. Traditionally, a model selected according to a goodness-of-fit criterion has been used for making inferences. In this article, we propose a modified set of fractional polynomials as competitive dose-response models in risk assessment. The article not only shows instances where it is not obvious to single out one best model but also illustrates that model averaging can best circumvent this dilemma. The set of candidate models is chosen based on biological plausibility and rationale and the risk at a dose common to all these models estimated using the selected models and by averaging over all models using Akaike's weights. In addition to including parameter estimation inaccuracy, like in the case of a single selected model, model averaging accounts for the uncertainty arising from other competitive models. This leads to a better and more honest estimation of standard errors and construction of confidence intervals for risk estimates. The approach is illustrated for risk estimation at low dose levels based on Salmonella typhi and Campylobacter jejuni data sets in humans. Simulation studies indicate that model averaging has reduced bias, better precision, and also attains coverage probabilities that are closer to the 95% nominal level compared to best-fitting models according to Akaike information criterion.
Insights
Model averaging offers a more accurate approach to assessing foodborne illness risk from microbial pathogens. This method improves risk estimation by accounting for uncertainty from multiple plausible dose-response models.
Area of Science:
- Microbiology
- Risk Assessment
- Statistical Modeling
Background:
- Foodborne diseases from microbial pathogens pose significant public health risks.
- Dose-response models are crucial for understanding the relationship between ingested dose and infection risk.
- Traditional methods rely on selecting a single best-fit model, which can be problematic.
Purpose of the Study:
- To propose modified fractional polynomials as competitive dose-response models for risk assessment.
- To demonstrate the utility of model averaging in circumventing the dilemma of selecting a single best model.
- To improve the accuracy and reliability of risk estimates, especially at low doses.
Main Methods:
- Utilized a modified set of fractional polynomials as candidate dose-response models.
- Selected models based on biological plausibility and rationale.
- Employed model averaging with Akaike's weights to estimate risk across multiple models.
- Applied the approach to Salmonella typhi and Campylobacter jejuni human data for low-dose risk estimation.
Main Results:
- Model averaging effectively addresses situations where a single best model is not apparent.
- This approach provides more honest estimations of standard errors and confidence intervals for risk.
- Simulation studies showed model averaging reduced bias and improved precision compared to single best-fit models.
- Coverage probabilities for risk estimates were closer to the nominal 95% level with model averaging.
Conclusions:
- Model averaging provides a superior method for dose-response modeling in risk assessment compared to traditional single-model selection.
- The proposed fractional polynomial models and averaging technique enhance the reliability of microbial risk assessments.
- This approach leads to more robust and trustworthy estimations of foodborne illness risks.
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