Parallel Analysis with Unidimensional Binary Data

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Assessing unidimensionality: A comparison of Rasch modeling, Parallel analysis, and TETRAD (2007, methodology): “It has also been suggested that exploratory factor analysis (EFA) with parallel analysis (PA) may be used prior to the application of IRT models in order to give early indications of any dimensionality issues (Budescu, Cohen, & Ben-Simon, 1997; Weng & Cheng, 2005).”
Determining the Number of Factors to Retain in EFA: An easy-to-use computer program for carrying out Parallel Analysis (2007, background): “There is evidence that PA performs well with respect to the latter case (Weng & Cheng, 2005).”
Performance of Velicer’s Minimum Average Partial Factor Retention Method With Categorical Variables (2011, background): “There is some evidence from studies with parallel analysis that suggest this possibility (Tran & Formann, 2009; Weng & Cheng, 2005).”