The generalized Hausman test for detecting non-normality in the latent variable distribution of the two-parameter IRT model.

ABSTRACT: This paper introduces the generalized Hausman test as a novel method for detecting the non-normality of the latent variable distribution of the unidimensional latent trait model for binary data. The test utilizes the pairwise maximum likelihood estimator for the parameters of the latent trait model, which assumes normality of the latent variable, and the maximum likelihood estimator obtained under a semi-non-parametric framework, allowing for a more flexible distribution of the latent variable. The performance of the generalized Hausman test is evaluated through a simulation study and compared with other test statistics available in the literature for testing latent variable distribution fit and an overall goodness-of-fit test statistic. Additionally, three information criteria are used to

SUBMITTER: Guastadisegni L 

PROVIDER: S-EPMC12516116 | biostudies-literature | 2025 Nov

REPOSITORIES: biostudies-literature