Recently I am doing Principal Component Analysis, and i read from some online material that ...
The first phase of principal component analysis was devoted to verifying that the following requirements were met:
The variables included must be metric level or dichotomous nominal level and the sample size must be greater than 50 (preferably 100)
The ratio of cases to variables must be 10 to 1 or larger
The correlation matrix for the variables better contain significant correlations and must has a determinant (R) of 0 ＜｜R︱＜1
The Bartlett’s test of sphericity is statistically significant and the size of the overall Kaiser-Meyer-Olkin (KMO) statistic must be 0.60 or above
Variables with measure of sampling adequacy (MSA) values below 0.60 must be removed
I have follow the above steps in the analysis, but when I am doing the writing up, I need formal referencing for the above "rules". It seems hard for me to find out the reference. Can anyone help me on that? Thanks a lot!
Pett, M. A., Lackey, N. R., & Sullivan, J. J. (2003). Making sense of factor analysis: The use of factor analysis for instrument development in health care research. Thousand Oaks, CA: Sage Publications, Inc.
Brown T. (2006) Confirmatory Factor Analysis for Applied Research, Guilford Press, New York.
Costello A., Osborne J. (2005) Best practices in exploratory factor analysis: four recommendations for getting the most from your analysis. Practical Assessment Research & Evaluation, 10, (7) Available online: http://pareonline.net/getvn.asp?v=10&n=7
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.
Henson R., Roberts J. (2006) Use of Exploratory Factor Analysis in Published Research: Common Errors and Some Comment on Improved Practice. Educational and Psychological Measurement. 66, 393-416.
Preacher K., MacCallum R. (2003) Repairing Tom Swift’s electric factor analysis machine. Understanding Statistics. 2, (1), 13-43.
Thompson, B., & Daniel, L. G. (1996). Factor analytic evidence for the construct validity of scores: A historical overview and some guidelines. Educational and Psychological Measurement, 56, 197-208.
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