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Cited by 403

The DOI matches its Crossref record; 15 of the 15 references it cites were found in a registry or an index.

On the Relationship between the Higher-Order Factor Model and the Hierarchical Factor Model

Yung, Yiu-Fai, Thissen, David, McLeod, Lori D.·1999·Psychometrika
DOI 10.1007/bf02294531
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Abstract

The relationship between the higher-order factor model and the hierarchical factor model is explored formally. We show that the Schmid-Leiman transformation produces constrained hierarchical factor solutions. Using a generalized Schmid-Leiman transformation and its inverse, we show that for any unconstrained hierarchical factor model there is an equivalent higher-order factor model with direct effects (loadings) on the manifest variables from the higher-order factors. Therefore, the class of higher-order factor models (without direct effects of higher-order factors) is nested within the class of unconstrained hierarchical factor models. In light of these formal results, we discuss some implications for testing the higher-order factor model and the issue of general factor. An interesting aspect concerning the efficient fitting of the higher-order factor model with direct effects is noted.

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Metadata

Authors
Yung, Y.-F., Thissen, D., & McLeod, L. D.
Venue
Psychometrika
Publisher
Cambridge University Press (CUP)
Published
1999-06
Volume
64
Issue
2
Pages
113-128
ISSN
  • 0033-3123 (ISSN-L)
  • 1860-0980
DOI
10.1007/bf02294531
OpenAlex
W2007404044
Cited by
403
References
15
FWCI
2.35
Type
journal article
Language
en
Open access
closed

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