Robust Promin: a method for diagonally weighted factor rotation
DOI:
https://doi.org/10.24265/liberabit.2019.v25n1.08Keywords:
oblique rotation, robust factor analysis, exploratory factor analysis, unrestricted factor analysisAbstract
Oblique rotation of factors is usually performed in exploratory factor analysis in order to achieve the best and simplest interpretation of the solution based on the prescribed number of factors. Currently available algorithms, however, do not take into account the fluctuation of the correlations on which the factor solution is based. If such correlations’ stability is low, the rotated solution obtained in a specific sample may substantially differ from the rotated solutions obtained in different samples from the same population. The present paper proposes a modified version of the Promin rotation designed to achieve simple and stable rotated solutions through the samples. The usefulness of Robust Promin is illustrated by using an empirical example based on a real dataset. The procedure proposed in this paper has been implemented in the FACTOR factor analysis program version 10.9.
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References
Browne, M. W. (2001). An overview of analytic rotation in exploratory factor analysis. Multivariate behavioral research, 36, 111-150.
Cureton, E. E., & Mulaik, S. (1975). The weighted varimax rotation and the promax rotation. Psychometrika, 40, 183-195.
Ferrando, P. J., & Lorenzo-Seva, U. (2013). Unrestricted item factor analysis and some relations with item response theory. Technical Report. Department of Psychology, Universitat Rovira i Virgili, Tarragona. Recuperado de http://psico. fcep. urv. es/utilitats/factor
Ferrando, P. J., & Lorenzo-Seva, U. (2014). El análisis factorial exploratorio de los ítems: algunas consideraciones adicionales. Anales de psicología, 30, 1170-1175.
Ferrando, P. J., & Lorenzo-Seva, U. (2017). Program FACTOR at 10: origins, development and future directions. Psicothema, 29, 236-240.
Hendrickson, A. E., & White, P. O. (1964). PROMAX: a quick method for rotation to oblique simple structure. British Journal of Statistical Psychology, 17, 65-70.
Kaiser, H. F. (1958). The varimax criterion for analytic rotation in factor analysis. Psychometrika, 23, 187- 200.
Kiers, H. A. L. (1994). Simplimax: oblique rotation to an optimal target with simple structure. Psychometrika, 59, 567-579.
Lorenzo-Seva, U. (1999). Promin: A method for oblique factor rotation. Multivariate Behavioral Research, 34, 347-365.
Lorenzo-Seva, U. (2000). The weighted oblimin rotation. Psychometrika, 65, 301-318.
Lorenzo-Seva, U. (2003). A factor simplicity index. Psychometrika, 68, 49-60.
Lorenzo-Seva, U., & Ten Berge, J. M. (2006). Tucker’s congruence coefficient as a meaningful index of factor similarity. Methodology, 2, 57-64.
Mosier, C. I. (1939). Determining a simple structure when loadings for certain tests are known. Psychometrika, 4, 149-162.
Schönemann, P. H., & Wang, M. M. (1972). Some new results on factor indeterminacy. Psychometrika, 37(1), 61-91.
Thurstone, L. L. (1947). Multiple Factor Analysis. Chicago: University of Chicago Press.
Timmerman, M. E., & Lorenzo-Seva, U. (2011). Dimensionality assessment of ordered polytomous items with parallel analysis. Psychological methods, 16, 209-220.
Vigil-Colet, A., Lorenzo-Seva, U., & Condon, L. (2008). Development and validation of the statistical anxiety scale. Psicothema, 20, 174-180.
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