Annals of Occupational Hygiene Advance Access originally published online on January 27, 2009
Annals of Occupational Hygiene 2009 53(2):173-180; doi:10.1093/annhyg/men085
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Multimodel Inference and Multimodel Averaging in Empirical Modeling of Occupational Exposure Levels
Department of Work Environment, Institute for Work and Health, Universities of Lausanne and Geneva, Bugnon 19, Lausanne 1005, Switzerland
* Author to whom correspondence should be addressed. Tel: +1 (514) 890 8000 #15913; fax: +1 (514) 412 7106; e-mail: jerome.lavoue{at}umontreal.ca
Empirical modeling of exposure levels has been popular for identifying exposure determinants in occupational hygiene. Traditional data-driven methods used to choose a model on which to base inferences have typically not accounted for the uncertainty linked to the process of selecting the final model. Several new approaches propose making statistical inferences from a set of plausible models rather than from a single model regarded as ‘best’. This paper introduces the multimodel averaging approach described in the monograph by Burnham and Anderson. In their approach, a set of plausible models are defined a priori by taking into account the sample size and previous knowledge of variables influent on exposure levels. The Akaike information criterion is then calculated to evaluate the relative support of the data for each model, expressed as Akaike weight, to be interpreted as the probability of the model being the best approximating model given the model set. The model weights can then be used to rank models, quantify the evidence favoring one over another, perform multimodel prediction, estimate the relative influence of the potential predictors and estimate multimodel-averaged effects of determinants. The whole approach is illustrated with the analysis of a data set of 1500 volatile organic compound exposure levels collected by the Institute for work and health (Lausanne, Switzerland) over 20 years, each concentration having been divided by the relevant Swiss occupational exposure limit and log-transformed before analysis. Multimodel inference represents a promising procedure for modeling exposure levels that incorporates the notion that several models can be supported by the data and permits to evaluate to a certain extent model selection uncertainty, which is seldom mentioned in current practice.
Keywords: exposure assessment • exposure determinant • linear models • model selection • multimodel inference
Received July 15, 2008; in final form October 10, 2008