Abstract
Coefficient H is used as an index of scalability in nonparametric item response theory (NIRT). It indicates the degree to which a set of items rank orders examinees. Theoretical sampling distributions, however, have only been derived asymptotically and only under restrictive conditions. Bootstrap methods offer an alternative possibility to estimate the variance of H. Ordered latent class models allow a parameterization of NIRT models. The distribution of H, given the estimates of such a model, also gives an impression of the stability of H. The distributions estimated under each of the methods are compared to the sampling distribution and to each other under several conditions.
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