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On the relationship between the higher-order factor model and the hierarchical factor model

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  • Yiu-Fai Yung
  • David Thissen
  • Lori McLeod

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  • Yiu-Fai Yung & David Thissen & Lori McLeod, 1999. "On the relationship between the higher-order factor model and the hierarchical factor model," Psychometrika, Springer;The Psychometric Society, vol. 64(2), pages 113-128, June.
    • Handle: RePEc:spr:psycho:v:64:y:1999:i:2:p:113-128
    DOI: 10.1007/BF02294531
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    References listed on IDEAS

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    1. Karl Holzinger & Frances Swineford, 1937. "The Bi-factor method," Psychometrika, Springer;The Psychometric Society, vol. 2(1), pages 41-54, March.
    2. Ledyard Tucker, 1940. "The role of correlated factors in factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 5(2), pages 141-152, June.
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    Cited by:

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    3. Li Cai, 2015. "Lord–Wingersky Algorithm Version 2.0 for Hierarchical Item Factor Models with Applications in Test Scoring, Scale Alignment, and Model Fit Testing," Psychometrika, Springer;The Psychometric Society, vol. 80(2), pages 535-559, June.
    4. Fu, Zhihui & Zhang, Xue & Tao, Jian, 2020. "Gibbs sampling using the data augmentation scheme for higher-order item response models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 541(C).
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    7. Frank Rijmen & Minjeong Jeon & Matthias von Davier & Sophia Rabe-Hesketh, 2014. "A Third-Order Item Response Theory Model for Modeling the Effects of Domains and Subdomains in Large-Scale Educational Assessment Surveys," Journal of Educational and Behavioral Statistics, , vol. 39(4), pages 235-256, August.
    8. Satomi Doi & Masaya Ito & Yoshitake Takebayashi & Kumiko Muramatsu & Masaru Horikoshi, 2018. "Factorial validity and invariance of the Patient Health Questionnaire (PHQ)-9 among clinical and non-clinical populations," PLOS ONE, Public Library of Science, vol. 13(7), pages 1-9, July.
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    10. Wai, Jonathan & Lakin, Joni M. & Kell, Harrison J., 2022. "Specific cognitive aptitudes and gifted samples," Intelligence, Elsevier, vol. 92(C).
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    14. Niels G. Waller, 2018. "Direct Schmid–Leiman Transformations and Rank-Deficient Loadings Matrices," Psychometrika, Springer;The Psychometric Society, vol. 83(4), pages 858-870, December.
    15. MacPherson, Sarah E. & Allerhand, Michael & Cox, Simon R. & Deary, Ian J., 2019. "Individual differences in cognitive processes underlying Trail Making Test-B performance in old age: The Lothian Birth Cohort 1936," Intelligence, Elsevier, vol. 75(C), pages 23-32.
    16. Carlo Cavicchia & Maurizio Vichi & Giorgia Zaccaria, 2020. "The ultrametric correlation matrix for modelling hierarchical latent concepts," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 14(4), pages 837-853, December.
    17. Li Cai, 2010. "A Two-Tier Full-Information Item Factor Analysis Model with Applications," Psychometrika, Springer;The Psychometric Society, vol. 75(4), pages 581-612, December.
    18. Sonnier, Garrett P. & Rutz, Oliver J. & Ward, Adrian F., 2023. "Estimating the effect of brand beliefs on brand evaluations when beliefs are measured with error," International Journal of Research in Marketing, Elsevier, vol. 40(3), pages 552-569.
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    20. Kano, Yutaka & Takai, Keiji, 2011. "Analysis of NMAR missing data without specifying missing-data mechanisms in a linear latent variate model," Journal of Multivariate Analysis, Elsevier, vol. 102(9), pages 1241-1255, October.

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