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Many sources suggest that a KMO value of larger than .50 suggests the data are appropriate for factor analysis. In this video, I demonstrated that this suggesting is misleading. Instead, on the basis of Kaiser and Rice (1974), I suggest a value of .65 or larger to support the application of a factor analysis.
Kaiser, H. F., & Rice, J. (1974). Little jiffy, mark IV. Educational and psychological measurement, 34(1), 111-117.