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Table 1.

Explanatory variables of traffic crash data in Michigan roundabouts.

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Table 1 Expand

Fig 1.

Flow chart of the optimized multivariate Grey-Markov model.

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Fig 2.

Grey relational grades of each independent variable associated with traffic crashes in roundabouts.

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Fig 3.

Fitted accuracies of different Multivariable Grey (MGM(1,n)) models.

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Fig 3 Expand

Table 2.

Markov states of MGM(1,4) output values.

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Table 2 Expand

Table 3.

Predicted Markov state transitions of yearly traffic crash figures.

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Table 3 Expand

Fig 4.

Comparison between existing GM [47] and MGMs [48] in literature and the MGM-Markov model.

(a) Model-fitted total roundabout crashes; (b) Relative error values.

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Fig 4 Expand