Quantifying Replicability in EFA

In other fields, researchers have been proposing methods of quantifying and summarizing replication analyses since the early 1950s. Although invariance analysis in CFA should be considered the gold standard for attempting to understand whether an instrument has the same factor structure across different groups (randomly constituted or otherwise), measures for replication in EFA are still necessary for exploratory purposes. Over the years, two summary statistics have been proposed for this function, but unfortunately (as we will discuss below) both have flaws. More recently, a two-step comparison procedure was proposed by the first author and one of his graduate students (Osborne & Fitzpatrick, 2012). We hope you ...

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