A Monte Carlo Approach to Unidimensionality Testing in Polytomous Rasch Models  

Oleh:

Christensen, Karl Bang ; Kreiner, Svend

Jenis: Article from Journal - ilmiah internasional
Dalam koleksi: Applied Psychological Measurement vol. 31 no. 1 (Jan. 2007), page 20-30.
Topik: Rasch models; unidimensionality; Martin-Lof test; Monte Carlo tests; sequential tests
Fulltext: 20.pdf (136.86KB)

Isi artikel

different assumptions of the Rasch model, but only few are directed at detecting multidimensionality. The Martin-Lo¨ f test is an attractive approach, the disadvantage being that its null distribution deviates strongly from the asymptotic chi-square distribution for most realistic sample sizes. A Monte Carlo test approach to p value computation is proposed and is shown to yield a powerful test. Repeated and sequential Monte Carlo tests that can greatly reduce computing time are discussed.

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