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Kim, Stella Y.; Lee, Won‐Chan
Journal of educational measurement, 06/2020, Volume: 57, Issue: 2Journal Article
The current study aims to evaluate the performance of three non‐IRT procedures (i.e., normal approximation, Livingston‐Lewis, and compound multinomial) for estimating classification indices when the observed score distribution shows atypical patterns: (a) bimodality, (b) structural (i.e., systematic) bumpiness, or (c) structural zeros (i.e., no frequencies). Under a bimodal distribution, the normal approximation procedure produced substantially large bias. For a distribution with structural bumpiness, the compound multinomial procedure tended to introduce larger bias. Under a distribution with structural zeroes, the relative performance of selected estimation procedures depended on cut score location and the sample‐size conditions. In general, the differences in estimation errors among the three procedures were not substantially large.
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