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What is equidispersion?

What is equidispersion? Here are some definitions.

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Violations of the equidispersion assumption can be of two kinds: overdispersion or underdispersion.
The primary Poisson assumption is equidispersion, i.e. the equality of the mean and the variance functions.
In single-level settings, a negative binomial model is often preferred as it relaxes the restrictive equidispersion assumption.
Named equidispersion, it should be investigated in the data exploration and disclosed in the model report.
To see whether there are violations to equidispersion assumption, we check whether the conditional mean is smaller than the conditional variance.
The generalized Poisson model is another model used to account for deviation from equidispersion in data to be analyzed.

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