Exploratory factor analysis/Assumptions

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  1. Linear relations between variables. Test by visually examining all or some of the bivariate scatterplots.
  2. Factorability can be examined via:
    1. Inter-item correlations (correlation matrix) - are there at least several sizable correlations e.g., > .5?
    2. Anti-image correlation matrix diagonals - they should be > ~.5.
    3. Measures of sampling adequacy (MSAs):
      • Kaiser-Myer-Olkin (KMO) (should be > ~.5) and
      • Bartlett's test of sphericity (should be significant)
  3. Sample size:
    1. Ideally, there should be a ratio of > ~20:1 (cases per item)
    2. EFA can still be reasonably done with > ~5:1
    3. Bare min. for pilot study purposes, as low as 3:1.

For more information, see the lecture notes.