On the Likelihood Ratio Test for the Number of Factors in Exploratory Factor Analysis

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Using Exploratory Factor Analysis to Determine the Dimensionality of Discrete Responses (2015, background): “In contrast, simulation studies of models with only major factors encountered overextraction problems (e.g., Beauducel, 2001; Hayashi et al., 2007).”
Application of Exploratory Structural Equation Modeling to Evaluate the Academic Motivation Scale (2015, methodology): “…the various model fit statistics, chi square difference tests have been shown to present a tendency for the over-extraction of too many factors (Hayashi et al., 2007) and that no information is readily available regarding the performance of the other approximate fit indices, especially when…”
Likelihood ratio tests and singularities (2007, background): “Simulations such as those in [17] suggest that, regardless of where in the null hypothesis the true distribution is, the likelihood ratio statistic for (6.”
Current Methodological Considerations in Exploratory and Confirmatory Factor Analysis (2011, methodology): “…along with sound theoretical reasoning, should be used when making factor retention decisions (Fabrigar et al., 1999; Henson & Roberts, 2006; Thompson & Daniel, 1996), LRT is a reasonably viable method that can help researchers select the appropriate number of factors (see Hayashi et al., 2007).”