Determining the number of common factors is one of the most important decisions which must be made in the application of factor analysis. Several different approaches and techniques are reviewed here along with associated strengths and weaknesses. It is argued that a combination of approaches will lead to the best judgment regarding the number of factors to retain. A computer program is available which presents the number of factors to retain as suggested by both discontinuity and parallel analyses. Utilization of the program removes the negative aspect associated with the use of each technique.
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References
1.
Cattel, R. C. (1966). The scree test for the number of factors. Multivariate Behavioral Research, 1, 246-276.
2.
Guttman, L. (1940). Multiple rectilinear prediction and the resolution into components. Psychometrika, 5, 75-99.
3.
Humphreys, L. G. and Ilgen, D. R. (1969). Note on a criterion for the number of common factors. Educational And Psychological Measurement, 29, 571-578.
4.
Kaiser, H. F. (1960). The application of electronic computers to factor analysis. Educational And Psychological Measurement. 20, 141-151.
5.
Montanelli, R. G. and Humphreys, L. G. (1976). Latent roots of random data correlations on the diagonal: A monte carlo study. Psychometrika, 41, 341-348.
6.
Rummel, R. J. (1970). Applied factor analysis. Evanston: Northwestern University Press.
7.
Zwick, W. R. and Velicer, W. F. (1986). Comparison of five rules for determining the number of components to retain. Psychological Bulletin, 99, 432-442.
