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Definition of Saturated model

Saturated model Definition from Science & Technology Dictionaries & Glossaries
Common Concepts in Statistics
A model that contains as many parameters as there are data points. This model contains all main effects and all possible interactions between factors. For categorical data, this model contains the same number of parameters as cells and results in a perfect fit for a data set. The (residual) deviance is a measure of the extent to which a particular model differs from the saturated model.
Saturated model Definition from Encyclopedia Dictionaries & Glossaries
English Wikipedia - The Free Encyclopedia
In mathematical logic, and particularly in its subfield model theory, a saturated model M is one which realizes as many complete types as may be "reasonably expected" given its size. For example, an ultrapower model of the hyperreals is -saturated, meaning that every descending nested sequence of internal sets has a nonempty intersection, see Goldblatt (1998).

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