Two New Test Statistics for the Rasch Model

Abstract

It is shown that the presently available statistical tests for the Rasch model are insensitive to violation of the unidimensionality axiom. Two new test statistics are presented. The first one, Q1, is sensitive to the same effects as the presently available statistics, but has some desirable properties of a nonstatistical nature. The second statistic, Q2, is sensitive to violation of local stochastic independence and unidimensionality and thus fills an existing gap.

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