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The zero-inflated negative binomial model was found to be more appropriate for analyzing the data [13].
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Negative binomial models are found to be appropriate to predict road crashes on divided roadways under heterogeneous traffic conditions.
Negative binomial regression model was found to be more suitable to identify the variables contributing to road crashes.
A negative binomial generalized linear auto-regressive moving-average model was found to afford adequate fit to the data.
In the current study, negative binomial regression models were found to fit the data well enough and the use of zero-inflated models was unnecessary.
If evidence of over-dispersion was found (i.e., a dispersion parameter not equal to zero), the negative binomial model was retained.
A binomial model was used for the probability of encountering terns, and a negative binomial was used for the number of terns if encountered.
The beta binomial model was used to account for over-dispersion.
By Vuong test, zero-inflated negative binomial regression model was not significantly better than negative binomial model (z = 1.14, p = 0.128), thus negative binomial model was chosen.
cThe details of our negative binomial model can be found in Additional file 3, including Additional file 5: Figure S1, which shows the maximum likelihood estimates of the model's mean and dispersion parameters for 46, 446 transcript isoforms.
It is precisely because the binomial model is unable to fit overdispersed binomial data that the application of the beta-binomial is necessary.
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