The formula for coefficient alpha for a principal component, first derived in 1957 by Kaiser, is developed. Its use in the Kaiser-Guttman Rule for the number of components is discussed, both in theory and in practice, with Hotelling's (1933) original correlation matrix.
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References
1.
CronbachL. J. (1951) Coefficient alpha and the internal structure of tests. Psychometrika, 16, 297–334.
2.
GuttmanL. (1945) A basis for analyzing test-retest reliability. Psychometrika, 10, 255–282.
3.
HotellingH. (1933) Analysis of a complex of statistical variables into principal components. Journal of Educational Psychology, 24, 417–441, 498–520.
4.
KaiserH. F. (1956) The varimax method of factor analysis. Unpublished doctoral dissertation, School of Education, Univer. of California, Berkeley.
5.
KaiserH. F. (1957) Alpha-reliability of components and factors. (Unpublished manuscript, Bureau of Educational Research, College of Education, Univer. of Illinois).
6.
KaiserH. F. (1960) The application of electronic computers to factor analysis. Educational and Psychological Measurement, 20, 141–151.
7.
KaiserH. F. (1968) A measure of the average intercorrelation. Educational and Psychological Measurement, 28, 245–247.
8.
KaiserH. F. (1986) The application of electronic computers to factor analysis. Current Contents, 40, 18.
