Continuation-ratio logits (source code)

= Continuation-ratio logits
{title2=$\operatorname{logit}P(Y=l\mid Y\ge l,x)$}

For ordered response categories, model each displayed conditional probability by a <grouped-binomial logistic regression>. The <multinomial likelihood> factors exactly into successive conditional <binomial likelihoods>, using the remaining category total as each stage's denominator. This is a different regression parameterization from baseline-category logits or cumulative odds. Separate cumulative binary indicators from the same person are dependent and cannot be treated as independent likelihood contributions.