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

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Poisson regression

Another form of regression analysis is Poisson regression. This type of analysis is a generalized linear model or GLM, used to model count data.

Unlike the example in the previous section where wine samples had been rated (or ranked) on a scale from 1 to 10, count data is a (statistical) data type in which the observations can take only the non-negative integer values {0, 1, 2, 3, ...}, and where these integers arise from counting rather than ranking.

Poisson regression assumes the outcome of your analysis has a Poisson distribution – in that it expresses: the probability of a number of events occurring in a fixed interval of time if these events occur with a known average rate and independently of the time since the last event. ...

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