6.7. Continuation Ratio Model

The cumulative logit and adjacent categories models are reasonable candidates for almost any ordered categorical variable. Our third model—the continuation ratio model—is more specialized. It’s only appropriate when the ordered categories represent a progression of stages, so that individuals must pass through each lower stage before they go on to higher stages. In those situations, the continuation ratio model is more attractive than the other two.

Because the model is most often applied to educational attainment, let’s use that as our example here. Table 6.2 gives frequency counts for three categories of education for 2,294 males who failed to pass the Armed Forces Qualification Test, cross classified by race, ...

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