The relationship of sample size to number of variables in the use of factor analysis has been treated by many investigators. In attempting to explore what the minimum sample size should be, none of these investigators pointed out the constraints imposed on the dimensionality of the variables by using a sample size smaller than the number of variables. A review of studies in this area is made as well as suggestions for resolution of the problem.
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References
1.
Aleamoni, L. M.Analysis of personality measures and measures used to predict success in science. Unpublished master's thesis, University of Utah, 1964.
2.
Cohen, A. G. and Guthrie, G. M.Patterns of motivation for college attendance. EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT, 1966, 26, 89-98.
3.
Guilford, J. P.Psychometric methods. New York: McGraw-Hill, 1954.
4.
Horst, P.Matrix algebra for the social scientist . New York: Holt, Rinehart, and Winston, Inc., 1963.
5.
Harman, H. H.Modern factor analysis. Chicago: University of Chicago Press, 1960.
6.
Humphreys, L. G.Number of cases and number of factors: An example where N is very large. EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT, 1964, 24, 457-466.
7.
Humphreys, L. G., Ilgen, D., McGrath, D., and Montanelli, R.Capitalization on chance in rotation of factors. EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT , 1969, 29, 259-271.
8.
Murdock, D. C.Linear algebra for undergraduates . New York: John Wiley and Sons , 1957.
9.
Solomon, D.Teacher behavior dimensions, course characteristics, and student evaluations of teachers. American Educational Research Journal. 1966, 3, 35-47.
10.
Solomon, D., Bezdek, W., and Rosenberg, L.Dimensions of teacher behavior. Journal of Experimental Education, 1964, 33, 23-40.
11.
Solomon, D., Rosenberg, L. , and Bezdek, W.Teacher behavior and student learning. Journal of Educational Psychology , 1964, 55, 23-30.
12.
Tatsuoka, M. M.Multivariate analysis: Techniques for educational and psychological research. New York: John Wiley and Sons, Inc., 1971.
13.
Thurstone, L. L.Multiple factor analysis . Chicago: University of Chicago Press, 1947.