Designed to deal with situations where there is an "excessive" number of individuals with count of 0
In situation where there is overdispersion, characterized by the conditional variance is greater than the conditional mean, a zero-inflated model such as zero inflated Poisson (ZIP) would fit better
This model assumes there are two sorts of individuals: one group whose counts are generated by the standard Poisson regression model and another group (absolute zero group) who have zero probability of a count greater than 0
The model typically includes a logistic regression model to predict which group it belongs to
Another model that does this is the negative binomial model or the special version of the zero inflated negative binomial model
Hurdle Model
A binomial model to predict whether the values are 0 or > 0, then a linear model (or Gamma, log-Normal, truncated-Normal) to model the observed non-zero values