Estimating confidence intervals for eigenvalues in exploratory factor analysis (original) (raw)
References
American Psychological Association (2010). Publication manual of the American Psychological Association (6th ed.). Washington, DC: Author. Google Scholar
Bain, L., & Engelhardt, M. (1992). Introduction to probability and mathematical statistics. Belmont, CA: Duxbury Press. Google Scholar
Cattell, R. B. (1966). The scree test for the number of factors. Multivariate Behavioral Research, 1, 245–276. doi:10.1207/ s15327906mbr0102_10 Article Google Scholar
Costello, A. B., & Osborne, J. W. (2005). Best practices in exploratory factor analysis: Four recommendations for getting the most from your analysis. Practical Assessment, Research & Evaluation, 10, 1–9. Google Scholar
Cronbach, L. J. (1957). The two disciplines of scientific psychology. American Psychologist, 12, 671–684. doi:10.1037/h0043943 Article Google Scholar
Cumming, G., & Finch, S. (2005). Inference by eye: Confidence intervals and how to read pictures of data. American Psychologist, 60, 170–180. doi:10.1037/0003-066X.60.2.170 ArticlePubMed Google Scholar
Diaconis, P., & Efron, B. (1983). Computer-intensive methods in statistics. Scientific American, 248, 116–130. Article Google Scholar
Edgington, E. S. (1964). A tabulation of statistics used in psychology journals. American Psychologist, 19, 202–203. doi:10.1037/ h0039177 Article Google Scholar
Edgington, E. S. (1974). A new tabulation of statistical procedures used in APA journals. American Psychologist, 29, 25–26. doi:10.1037/ h0035846 Article Google Scholar
Elmore, P. B., & Woehlke, P. L. (1988). Statistical methods employed in American Educational Research Journal, Educational Researcher, and Review of Educational Research from 1978 to 1987. Educational Researcher, 17, 19–20. Google Scholar
Fabrigar, L. R., Wegener, D. T., MacCallum, R. C., & Strahan, E. J. (1999). Evaluating the use of exploratory factor analysis in psychological research. Psychological Methods, 4, 272–299. doi:10.1037/1082-989X.4.3.272 Article Google Scholar
Ford, J. K., MacCallum, R. C., & Tait, M. (1986). The application of exploratory factor analysis in applied psychology: A critical review and analysis. Personal Psychology, 39, 291–314. doi:10.1111/ j.1744-6570.1986.tb00583.x Article Google Scholar
Glorfeld, L. W. (1995). An improvement on Horn’s parallel analysis methodology for selecting the correct number of factors to retain. Educational & Psychological Measurement, 55, 377–393. doi:10.1177/0013164495055003002 Article Google Scholar
Gorsuch, R. L. (1983). Factor analysis. Hillsdale, NJ: Erlbaum. Google Scholar
Gorsuch, R. L. (2003). Factor analysis. In J. A. Schinka & W. F. Velicer (Eds.), Handbook of psychology: Vol. 2. Research methods in psychology (pp. 143–164). Hoboken, NJ: Wiley. Google Scholar
Guttman, L. (1954). Some necessary conditions for common-factor analysis. Psychometrika, 19, 149–161. doi:10.1007/BF02289162 Article Google Scholar
Hayton, J. C., Allen, D. G., & Scarpello, V. (2004). Factor retention decisions in exploratory factor analysis: A tutorial on parallel analysis. Organizational Research Methods, 7, 191–205. doi:10.1177/ 1094428104263675 Article Google Scholar
Henson, R. K., & Roberts, J. K. (2006). Use of exploratory factor analysis in published research: Common errors and some comment on improved practice. Educational & Psychological Measurement, 66, 393–416. doi:10.1177/0013164405282485 Article Google Scholar
Holzinger, K. J., & Swineford, F. (1939). A study in factor analysis: The stability of a bi-factor solution. Chicago: University of Chicago Press. Google Scholar
Horn, J. L. (1965). A rationale and test for the number of factors in factor analysis. Psychometrika, 30, 179–185. doi:10.1007/BF02289447 ArticlePubMed Google Scholar
Loehlin, J. C. (2004). Latent variable models (4th ed.). Mahwah, NJ: Erlbaum. Google Scholar
Mardia, K., Kent, J., & Bibby, J. (1979). Multivariate analysis. New York: Academic Press. Google Scholar
O’Connor, B. P. (2000). SPSS and SAS programs for determining the number of components using parallel analysis and Velicer’s MAP test. Behavior Research Methods, Instruments, & Computers, 32, 396–402. Article Google Scholar
Rencher, A., & Schimek, M. (1995). Methods of multivariate analysis. New York: Wiley. Google Scholar
Rippe, D. D. (1953). Application of a large sampling criterion to some sampling problems in factor analysis. Psychometrika, 18, 191–205. doi:10.1007/BF02289056 Article Google Scholar
Russell, D. W. (2002). In search of underlying dimensions: The use (and abuse) of factor analysis in Personality and Social Psychology Bulletin. Personality & Social Psychology Bulletin, 28, 1629–1646. doi:10.1177/014616702237645 Article Google Scholar
Spearman, C. (1904). “General intelligence,” objectively determined and measured. American Journal of Psychology, 15, 201–293. doi:10.2307/1412107 Article Google Scholar
Thompson, B. (2004). Exploratory and confirmatory factor analysis: Understanding concepts and applications. Washington, DC: American Psychological Association. Book Google Scholar
Thompson, B. (2006). Foundations of behavioral statistics: An insightbased approach. New York: Guilford. Google Scholar
Velicer, W. F. (1976). Determining the number of components from the matrix of partial correlations. Psychometrika, 41, 321–327. doi:10.1007/BF02293557 Article Google Scholar
Wilkinson, L., & the Task Force on Statistical Inference (1999). Statistical methods in psychology journals: Guidelines and explanations. American Psychologist, 54, 594–604. doi:10.1037/0003-066X.54.8.594 Article Google Scholar
Zientek, L. R., Capraro, M. M., & Capraro, R. M. (2008). Reporting practices in quantitative teacher education research: One look at the evidence cited in the AERA panel report. Educational Researcher, 37, 208–216. doi:10.3102/0013189X08319762 Article Google Scholar
Zientek, L. R., & Thompson, B. (2007). Applying the bootstrap to the multivariate case: Bootstrap component/factor analysis. Behavior Research Methods, 39, 318–325. ArticlePubMed Google Scholar
Zwick, W. R., & Velicer, W. F. (1982). Factors influencing four rules of determining the number of components to retain. Multivariate Behavioral Research, 17, 253–269. doi:10.1207/s15327906mbr1702_5 Article Google Scholar
Zwick, W. R., & Velicer, W. F. (1986). Comparison of five rules for determining the number of components to retain. Psychological Bulletin, 99, 432–442. doi:10.1037/0033-2909.99.3.432 Article Google Scholar