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Published online by Cambridge University Press: 01 January 2025
The square root method for the solution of a set of simultaneous linear equations or the reduction of a matrix has been known for some time under a variety of names. Because of its usefulness in statistical work, especially in factor analysis, the square root method is presented in general terms and an example given. Several independently developed “multiple group methods” for factor analysis are compared and synthesized. Their fundamental concepts are set forth and an appropriate system of notation developed. Detailed computational procedures are outlined, and the square root method is emphasized as a computing aid in multiple group analysis.
The opinions expressed in this paper are those of the author and do not necessarily reflect official Department of the Army policy. The author is now with The RAND Corporation, Santa Monica, Calif.