Author, as appears in the article.: Lorenzo-Seva, U; Ferrando, PJ
Department: Psicologia
URV's Author/s: Ferrando Piera, Pere Joan / Lorenzo Seva, Urbano
Keywords: Unrestricted factor analysis Uls Principal axis factoring Power analysis Minres Minimum rank factor analysis Goodness-of-fit indices Chi square test of fit statistic
Abstract: A shortcoming of least-squares unrestricted factor analysis (UFA) procedures, which are widely used in psychometric applications is that a test statistic for assessing model-data fit cannot be easily derived from the minimum fit function value. This paper proposes a chi-square type goodness-of-fit test statistic intended for the principal-axis, MINRES, and minimum-rank UFA procedures. The statistic is empirically obtained via intensive simulation based on a two-stage approach. First, a distribution of minimum fit function values is obtained from a scenario in which the null hypothesis of perfect model-data fit holds. Second, the obtained statistic is non-linearly transformed so that it has its first four moments equal to those of the theoretical reference chi-square distribution with the appropriate degrees of freedom. Extensions of the basic statistic are next proposed that include comparative and relative indexes based on it. Tests of close-fit and power assessment derived from the basic statistic are also proposed.
Thematic Areas: Social sciences, mathematical methods Social sciences (miscellaneous) Social sciences (all) Psychology, mathematical Psychology (miscellaneous) Psychology (all) Psicología General social sciences General psychology Ciencias sociales
licence for use: https://creativecommons.org/licenses/by/3.0/es/
Author's mail: perejoan.ferrando@urv.cat urbano.lorenzo@urv.cat
Author identifier: 0000-0002-3133-5466 0000-0001-5369-3099
Record's date: 2024-01-14
Papper version: info:eu-repo/semantics/publishedVersion
Link to the original source: https://meth.psychopen.eu/index.php/meth/article/view/9839
Licence document URL: http://repositori.urv.cat/ca/proteccio-de-dades/
Papper original source: Methodology-European Journal Of Research Methods For The Behavioral And Social Sciences. 19 (2): 96-115
APA: Lorenzo-Seva, U; Ferrando, PJ (2023). A Simulation-Based Scaled Test Statistic for Assessing Model-Data Fit in Least-Squares Unrestricted Factor-Analysis Solutions. Methodology-European Journal Of Research Methods For The Behavioral And Social Sciences, 19(2), 96-115. DOI: 10.5964/meth.9839
Article's DOI: 10.5964/meth.9839
Entity: Universitat Rovira i Virgili
Journal publication year: 2023
Publication Type: Journal Publications
Repositori URV