*Statistical Distributions

Abstract

The adequacy of several approaches to estimation of proficiency distributions for the Trial State Assessment (TSA) in eighth grade mathematics of the National Assessment of Educational Progress was examined. These approaches are more restrictive than the estimation procedures originally used, with the same kind of plausible-values approach that has been implemented since 1984 with the national assessment. The proposed approaches are computationally less burdensome and could provide improved performance from a statistical standpoint. Results from six procedures including the operational procedure for 1990 are compared to results obtained by a criterion procedure for eight TSA jurisdictions. With some modifications, alternatives were generated by crt.?::sing the method of obtaining principal components, the method of selecting principal components, and the procedure for estimating the model. Methods tha

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