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A Nonparametric Approach for Assessing Latent Trait Unidimensionality
Abstract
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.
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Cites
Hambleton, R. K., & Swaminathan, H. (1985) · doi:10.1007/978-94-017-1988-9 · Cited by 1,777
Cited by
Item Response Theory and Health Outcomes Measurement in the 21st Century
Hays, R. D., Morales, L. S., & Reise, S. P. (2000) · Medical Care · doi:10.1097/00005650-200009002-00007 · Cited by 869
Reise, S. P., Scheines, R., Widaman, K. F., & Haviland, M. G. (2013) · Educational and Psychological Measurement · doi:10.1177/0013164412449831 · Cited by 766
The role of the bifactor model in resolving dimensionality issues in health outcomes measures
Reise, S. P., Morizot, J., & Hays, R. D. (2007) · Quality of Life Research · doi:10.1007/s11136-007-9183-7 · Cited by 747
Un viaje alrededor de alfa y omega para estimar la fiabilidad de consistencia interna
Viladrich, C., Angulo-Brunet, A., & Doval, E. (2017) · Anales de Psicología · doi:10.6018/analesps.33.3.268401 · Cited by 699
Shealy, R., & Stout, W. (1993) · Psychometrika · doi:10.1007/bf02294572 · Cited by 657
Self-citation
Metadata
- Authors
- Stout, W.
- Venue
- Psychometrika
- Publisher
- Cambridge University Press (CUP)
- Published
- 1987-12
- Volume
- 52
- Issue
- 4
- Pages
- 589-617
- ISSN
- 0033-3123 (ISSN-L)
- 1860-0980
- OpenAlex
- W2052438216
- Cited by
- 504
- References
- 1
- FWCI
- 2.97
- Type
- journal article
- Language
- en
- Open access
- closed
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