4. EFA-RET-004 — Factor Retention, Dimensionality and Number-of-Factor Decisions
Description:
This Master Prompt would focus on determining the most defensible number of latent factors to retain. It would guide researchers in interpreting eigenvalues, scree plots, parallel analysis, cumulative explained variance, theoretical interpretability, factor stability, residual evidence, and competing factor solutions. Rather than allowing a single numerical criterion to determine dimensionality, researchers would triangulate statistical evidence with conceptual coherence.
A major emphasis would be placed on moving beyond mechanical reliance on the Kaiser eigenvalue-greater-than-one rule. Parallel analysis, scree-plot evidence, model characteristics, interpretability, and substantive theory would be compared before a final factor solution is selected. This theme is strongly supported by the uploaded literature: contemporary reviews criticize continued overreliance on the Kaiser criterion, while empirical studies demonstrate parallel analysis and scree-based factor retention.