Multinomial logistic regression: Difference between revisions

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This formulation is also known as the [[Compositional_data#Additive_logratio_transform|Additive logLog ratioRatio]] transform commonly used in compositional data analysis. In other applications it’s referred to as “relative risk”.<ref>[https://www.stata.com/manuals13/rmlogit.pdf Stata Manual “mlogit — Multinomial (polytomous) logistic regression”]</ref>
 
If we exponentiate both sides and solve for the probabilities, we get: