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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, Q 1 , is sensitive to the same effects as the presently available statistics, but has some desirable properties of a nonstatistical nature. The second statistic, Q 2 , is sensitive to violation of local stochastic independence and unidimensionality and thus fills an existing gap.
Arnold L. van den Wollenberg (Tue,) studied this question.