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Educational and Psychological Measurement
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A Reciprocity Principle that Permits Profile-Factoring with Very Large Numbers of People

Jum C. Nunnally

Vanderbilt University

William E. Kotsch

Vanderbilt University

Analytical methods of factoring score profiles are impractical to apply to large cross-products matrices of profile similarities. Basic matrix relationships are presented and illustrated which permit computation of loadings of people on factors from the factor analysis of the usually smaller variable by variable cross-products matrix. Some important additional issues are discussed and mathematical relationships are stated, particularly those concerning the rotation of factor axes.

Educational and Psychological Measurement, Vol. 43, No. 3, 693-703 (1983)
DOI: 10.1177/001316448304300303


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G. Stemmler
Effects of Profile Elevation, Scatter, and Shape on Discriminant Analysis Results
Educational and Psychological Measurement, December 1, 1988; 48(4): 853 - 871.
[Abstract]