A comparison of methods for dimensionality assessment of categorical item responses

Chen-Wei LIU, Wen Chung WANG

Research output: Chapter in Book/Report/Conference proceedingChapters

Abstract

A spectral clustering method is adopted to assess dimensionality for data following item response theory (IRT) models. Items measuring the same dimension were regarded as a unidimensional manifold hidden in a high-dimensional item response structure. With the information of affinity and tangent space learning through the spectral multi-manifold clustering (SMMC) method, not only the number of dimensions, but also the clusters of items can be identified. Simulation studies were conducted to evaluate the performance in dimensionality assessment of the SMMC method, compared to three popular methods: the parallel analysis (PA) of factor analysis, the Hull method, and the Dimensionality Evaluation to Enumerate Contributing Traits (DETECT). Results showed that the SMMC method performed satisfactorily in many conditions. Among the four methods, the PA was the best when sample sizes were small and correlations among dimensions were low; the DETECT method was the best when sample sizes were large. The SMMC method could supplement these two methods when the number of categories is large. Copyright © 2016 Springer Science+Business Media Singapore.
Original languageEnglish
Title of host publicationPacific Rim Objective Measurement Symposium (PROMS) 2015 conference proceedings
EditorsQuan ZHANG
Place of PublicationSingapore
PublisherSpringer
Pages395-410
ISBN (Print)9789811016868, 9789811016875
DOIs
Publication statusPublished - 2016

Citation

Liu, C.-W., & Wang, W.-C. (2016). A comparison of methods for dimensionality assessment of categorical item responses. In Q. Zhang (Ed.), Pacific Rim Objective Measurement Symposium (PROMS) 2015 conference proceedings (pp. 395-410). Singapore: Springer.

Keywords

  • Spectral clustering
  • Dimensionality assessment
  • Item response theory

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