What is zero-inflated negative binomial model?

Zero-inflated negative binomial regression is for modeling count variables with excessive zeros and it is usually for overdispersed count outcome variables.

How do you know if data is zero-inflated?

If the amount of observed zeros is larger than the amount of predicted zeros, the model is underfitting zeros, which indicates a zero-inflation in the data.

When should you use a zero-inflated model?

Zero-inflated poisson regression is used to model count data that has an excess of zero counts. Further, theory suggests that the excess zeros are generated by a separate process from the count values and that the excess zeros can be modeled independently.

What is the difference between binomial and negative binomial distribution?

Binomial distribution describes the number of successes k achieved in n trials, where probability of success is p. Negative binomial distribution describes the number of successes k until observing r failures (so any number of trials greater then r is possible), where probability of success is p.

How do you deal with zeros in data?

Methods to deal with zero values while performing log transformation of variable

  1. Add a constant value © to each value of variable then take a log transformation.
  2. Impute zero value with mean.
  3. Take square root instead of log for transformation.

What is negative binomial regression analysis?

Negative binomial regression is a generalization of Poisson regression which loosens the restrictive assumption that the variance is equal to the mean made by the Poisson model. It reports on the regression equation as well as the goodness of fit, confidence limits, likelihood, and deviance.

What is the difference between zero-inflated and hurdle models?

Zero-inflated and hurdle models are generally used in the setting of excess zeroes. Zero-inflated models are typically used if the data contains excess structural and sampling zeroes, whereas hurdle models are generally used when there are only excess sampling zeroes.