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1 results

  • A Nonparametric Approach for Assessing Latent Trait Unidimensionality

  • William Stout
  • Journal:
    Psychometrika / Volume 52 / Issue 4 / December 1987
    Published online by Cambridge University Press:
    01 January 2025, pp. 589-617

  • Assuming a nonparametric family of item response theory models, a theory-based procedure for testing the hypothesis of unidimensionality of the latent space is proposed. The asymptotic distribution of the test statistic is derived assuming unidimensionality, thereby establishing an asymptotically valid statistical test of the unidimensionality of the latent trait. Based upon a new notion of dimensionality, the test is shown to have asymptotic power 1. A 6300 trial Monte Carlo study using published item parameter estimates of widely used standardized tests indicates conservative adherence to the nominal level of significance and statistical power averaging 81 out of 100 rejections for examinee sample sizes and psychological test lengths often incurred in practice.