C24. Categorical response types

Topic: Categorical responses · more questions on this topic
‹ Q46 C25 ›

What are nominal and ordinal responses? What probabilities does a baseline-category logit compare?

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Definitions/notation. Nominal categories have no intrinsic ordering; ordinal categories have an ordering but not necessarily meaningful numerical gaps. A baseline-category logit compares category probabilities with a fixed reference: \log(p_k/p_0)=\beta_{0k}+x^\top\beta_k, where p_k=\mathbb{P}(Y=k\mid x) and k\ne0.