Replication Analysis in Exploratory Factor Analysis: What it is and why it makes your analysis better

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The Latent Structure of Spatial Skills and Mathematics: A Replication of the Two-Factor Model (2017, background): “Yet, EFAs are notoriously difficult to replicate (Costello & Osborne, 2005; Osborne & Fitzpatrick, 2012).”
Development and Validation of the Mathematical Resilience Scale (2016, methodology): “Items consistently yielded the strongest pattern coefficients for their hypothesized factors, an encouraging result indicating that the factor structure replicated successfully in a second sample (Osborne & Fitzpatrick, 2012).”
Improving Your Exploratory Factor Analysis for Ordinal Data: A Demonstration Using FACTOR. (2014, methodology): “…technique (Costello & Osborne, 2005) Many researchers have attempted to improve the practice of EFA by publishing useful recommendations, many of which appear in PARE (Beavers et al., 2013; Costello & Osborne, 2005; Courtney, 2013; DiStefano, Zhu, & Mindrilla, 2009; Osborne & Fitzpatrick, 2012).”