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Reassessing the transformation step in factor theory. The case for a non-orthogonal transformation matrix

  • Algorithmic Approaches and Miscellaneous Topics
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Abstract

The existing factor rotational methods (an assortment of orthogonal, oblique and simplex techniques) are assessed for their potential to be generalized for use at higher dimensions (i.e. above threefold factor space). An answer is sought to the problem of why the application of an orthogonal rotation results in mathematical solutions (those containing negative entries) rather than all positive solutions having physical and chemical meaning. Such positive solutions will be within the limits of experimental error if non-perfect data is used. An evaluation of a methodological improvement to an algorithm on factor analysis based on the optimization of them(m - 1) independent variables of a transformation matrix T′ ofm factors is made, and a case is presented for its introduction as a realistic alternative to the established methods.

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  1. Department of Chemistry, Royal Holloway and Bedford New College, 7W20 OEX, Egham, Surrey, UK

    Anna Muller

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  1. Anna Muller
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Muller, A. Reassessing the transformation step in factor theory. The case for a non-orthogonal transformation matrix. J Math Chem 7, 363–383 (1991). https://doi.org/10.1007/BF01200833

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