Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Complementary Goodness of Fit Procedure for Crash Frequency Models   This paper presents a new procedure for evaluating the goodness of fit of
Generalized Linear Models (GLM) estimated with Roadway Departure (RwD) crash
frequency data for the State of Hawaii on two-lane two-way (TLTW) state roads.
The procedure is analyzed using ten years of RwD crash data (including all
severity levels) and roadway characteristics (e.g., traffic, geometry, and
inventory databases) that can be aggregated at the section level. The three
estimation methods evaluated using the proposed procedure include: Negative
Binomial (NB), Zero-Inflated Negative Binomial (ZINB), and Generalized Linear
Mixed Model-Negative Binomial (GLMM-NB). The procedure shows that the three
methodologies can provide very good fits in terms of the distributions of
crashes within narrow ranges of the predicted mean frequency of crashes and in
terms of observed vs. predicted average crash frequencies for those data
segments. The proposed procedure complements other statistics such as Akaike
Information Criterion, Bayesian Information Criterion, and Log-likelihood used
for model selection. It is consistent with those statistics for models without
random effects, but it diverges for GLMM-NB models. The procedure can aid model
selection by providing a clear visualization of the fit of crash frequency
models and allowing the computation of a pseudo R2 similar the one used in
linear regression. It is recommended to evaluate its use for evaluating the
trade-off between the number of random effects in GLMM-NB models and their
goodness of fit using more appropriate datasets that do not lead to convergence
problems.

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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an