Anomalies in the Allen and Hubbard Parallel Analysis Procedure

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Abstract
Allen and Hubbard (1986) increased the accessi bility of parallel analysis for principal components applications by developing an equation to predict mean eigenvalues of random data matrices with unities in the diagonals. Two recent studies have shown, however, that Allen and Hubbard's proce dure may yield degenerate solutions—that is, solu tions in which succeeding eigenvalues are larger than preceding eigenvalues. The parameters of sample size and number of variables within which the Allen and Hubbard equation degenerates are documented. Implications for the use of this procedure are discussed.