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Mastering Predictive Analytics with R - Second Edition by Rui Miguel Forte, James D. Miller

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Negative Binomial regression

While Poisson regression assumes a (known) average, Negative Binomial regression is implemented using what is referred to as maximum likelihood estimation.

Remember that, although Poisson distribution assumes that the mean and variance are the same, sometimes data will show greater variability or extra variation that is greater than the mean. When this occurs, Negative Binomial regression is a better choice because of its greater flexibility in that regard.

To illustrate, what if we consider that a university wants to predict the average number of days a student athlete may miss each year. Predictors (of the number of days of absence from class) include the type of sport the student athlete is a member of and their average ...

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