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A Simple Two-Step Procedure for Fitting Fully Unrestricted Exploratory Factor Analytic Solutions with Correlated Residuals

Title: A Simple Two-Step Procedure for Fitting Fully Unrestricted Exploratory Factor Analytic Solutions with Correlated Residuals
Language: English
Authors: Pere J. Ferrando (ORCID 0000-0002-3133-5466); Ana Hernández-Dorado (ORCID 0000-0001-9502-9735); Urbano Lorenzo-Seva (ORCID 0000-0001-5369-3099)
Source: Structural Equation Modeling: A Multidisciplinary Journal. 2024 31(3):420-428.
Availability: Routledge. Available from: Taylor & Francis, Ltd. 530 Walnut Street Suite 850, Philadelphia, PA 19106. Tel: 800-354-1420; Tel: 215-625-8900; Fax: 215-207-0050; Web site: http://www.tandf.co.uk/journals
Peer Reviewed: Y
Page Count: 9
Publication Date: 2024
Document Type: Journal Articles; Reports - Evaluative
Descriptors: Correlation; Factor Analysis; Models; Goodness of Fit; Simulation; Programming Languages; Evaluation Methods; Least Squares Statistics
DOI: 10.1080/10705511.2023.2267181
ISSN: 1070-5511; 1532-8007
Abstract: A frequent criticism of exploratory factor analysis (EFA) is that it does not allow correlated residuals to be modelled, while they can be routinely specified in the confirmatory (CFA) model. In this article, we propose an EFA approach in which both the common factor solution and the residual matrix are unrestricted (i.e., the correlated residuals need not be specified a priori). The estimation procedures are two-stage and based on the unweighted least squares principle. Procedures for judging the solution appropriateness (including goodness of fit) are also proposed. The simulation studies and illustrative example suggest that the approach works quite well Although the proposal is based on existing results, most of the developments can be considered to be new contributions, and are expected to be particularly useful in the earlier stages of item calibration. The whole procedure has been implemented in both R language and a well-known non-commercial EFA program.
Abstractor: As Provided
Entry Date: 2024
Accession Number: EJ1431901
Database: ERIC