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Separation occurs when some classes of a categorical outcome can be perfectly distinguished by a linear combination of other variables.

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Logistic regression in R resulted in perfect separation (Hauck-Donner phenomenon). Now what?

it is possible to get perfect separation without having separation in any of the variable taken individually. I would even second David J. Harris's comment in saying that this is likely. … of an algorithms that slightly modifies the classical one to make it 'robust' against separation. …
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