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1 results

  • Rotational Equivalence of Factor Loading Matrices with Specified Values

  • Robert I. Jennrich
  • Journal:
    Psychometrika / Volume 43 / Issue 3 / September 1978
    Published online by Cambridge University Press:
    01 January 2025, pp. 421-426

  • Under mild assumptions, when appropriate elements of a factor loading matrix are specified to be zero, all orthogonally equivalent matrices differ at most by column sign changes. Here a variety of results are given for the more complex case when the specified values are not necessarily zero. A method is given for constructing reflections to preserve specified rows and columns. When the appropriate k(k − 1)/2 elements have been specified, sufficient conditions are stated for the existence of 2k orthogonally equivalent matrices.