Implementing horn's parallel analysis for principal component analysis and factor analysis

Stata Journal

Volumn 9, Issue 2, 2009, Pages 291-298

  Dinno, Alexis ^a  

^a CALIFORNIA STATE UNIVERSITY   (United States)

Author keywords

Component retention; Factor analysis; Factor retention; Horn's criterion; Parallel analysis; Paran; Principal component analysis; StO166

Indexed keywords

EID: 68949093949     PISSN: 1536867X     EISSN: None     Source Type: Journal    
DOI: 10.1177/1536867x0900900207     Document Type: Article

References (17)

1. Cattell, R. B. 1966. The scree test for the number of factors. Multivariate Behavioral Research 1: 245-276.
2. Cota, A. A., R. S. Longman, R. R. Holden, and G. C. Fekken. 1993. Comparing different methods for implementing parallel analysis: A practical index of accuracy. Educational and Psychological Measurement 53: 865-876.
3. Dinno, A. Forthcoming. Exploring the sensitivity of Horn's parallel analysis to the distributional form of simulated data. Multivariate Behavioral Research.
4. Glorfeld, L. W. 1995. An improvement on Horn's parallel analysis methodology for selecting the correct number of factors to retain. Educational and Psychological Measurement 55: 377-393.
5. Guttman, L. 1954. Some necessary conditions for common-factor analysis. Psychome-trika 19: 149-161.
6. Hayton, J. C, D. G. Allen, and V. Scarpello. 2004. Factor retention decisions in exploratory factor analysis: A tutorial on parallel analysis. Organizational Research Methods 7: 191-205.
7. Horn, J. L. 1965. A rationale and test for the number of factors in factor analysis. Psychometrika 30: 179-185.
8. Jackson, D. A. 1993. Stopping rules in principal components analysis: A comparison of heuristical and statistical approaches. Ecology 74: 2204-2214.
9. Kaiser, H. F. 1960. The application of electronic computers to factor analysis. Educational and Psychological Measurement 20: 141-151.
10. Lance, C. E., M. M. Butts, and L. C. Michels. 2006. The sources of four commonly reported cutoff criteria: What did they really say? Organizational Research Methods 9: 202-220.
11. Montanelli, R. G., and L. G. Humphreys. 1976. Latent roots of random data correlation matrices with squared multiple correlations on the diagonal: A Monte Carlo study. Psychometrika 41: 341-348.
12. Preacher, K. J., and R. C. MacCallum. 2003. Repairing Tom Swift's electric factor analysis machine. Understanding Statistics 2: 13-43.
13. Silverstein, A. B. 1977. Comparison of two criteria for determining the number of factors. Psychological Reports 41: 387-390.
14. Thompson, B., and L. G. Daniel. 1996. Factor analytic evidence for the construct validity of scores: A historical overview and some guidelines. Educational and Psychological Measurement 56: 197-208.
15. Velicer, W. F., C. A. Eaton, and J. L. Fava. 2000. Construct explication through factor or component analysis: A review and evaluation of alternative procedures for determining the number of factors or components. In Problems and Solutions in Human Assessment: Honoring Douglas N. Jackson at Seventy, ed. R. D. Goffin and E. Helmes, 41-71. Norwell, MA: Kluwer.
16. Velicer, W. F., and D. N. Jackson. 1990. Component analysis versus common factor analysis: Some issues in selecting an appropriate procedure. Multivariate Behavioral Research 25: 1-28.
17. Zwick, W. R., and W. F. Velicer. 1986. Comparison of five rules for determining the number of components to retain. Psychological Bulletin 99: 432-442.