Application of the hyper-poisson generalized linear model for analyzing motor vehicle crashes

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<title>Application of the hyper-poisson generalized linear model for analyzing motor vehicle crashes</title>
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<abstract displayLabel="Summary">The hyper-Poisson distribution can handle both over- and underdispersion, and its generalized linear model formulation allows the dispersion of the distribution to be observation-specific and dependent on model covariates. This study's objective is to examine the potential applicability of a newly proposed generalized linear model framework for the hyper-Poisson distribution in analyzing motor vehicle crash count data. The hyper-Poisson generalized linear model was first fitted to intersection crash data from Toronto, characterized by overdispersion, and then to crash data from railway-highway crossings in Korea, characterized by underdispersion. The results of this study are promising. When fitted to the Toronto data set, the goodness-of-fit measures indicated that the hyper-Poisson model with a variable dispersion parameter provided a statistical fit as good as the traditional negative binomial model. The hyper-Poisson model was also successful in handling the underdispersed data from Korea; the model performed as well as the gamma probability model and the Conway-Maxwell-Poisson model previously developed for the same data set. The advantages of the hyper-Poisson model studied in this article are noteworthy. Unlike the negative binomial model, which has difficulties in handling underdispersed data, the hyper-Poisson model can handle both over- and underdispersed crash data. Although not a major issue for the Conway-Maxwell-Poisson model, the effect of each variable on the expected mean of crashes is easily interpretable in the case of this new model.</abstract>
<note type="statement of responsibility">S. Hadi Khazraee...[et.al]</note>
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<title>Risk analysis : an international journal</title>
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<publisher>McLean, Virginia : Society for Risk Analysis, 1987-2015</publisher>
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<identifier type="issn">0272-4332</identifier>
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<text>04/05/2015 Volumen 35 Número 5 - mayo 2015 </text>
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