Nonmetric Factor Analysis: A Rank Reducing Alternative To Linear Factor Analysis.

@article{Lingoes1967NonmetricFA,
  title={Nonmetric Factor Analysis: A Rank Reducing Alternative To Linear Factor Analysis.},
  author={J C Lingoes and L F Guttman},
  journal={Multivariate behavioral research},
  year={1967},
  volume={2 4},
  pages={485-505}
}
By abandoning Thurstone’s requirement that R = FF’ (as stated in either its strong form of finding exact minimum rank or in its weak form of leaving residuals “small enough to be ignored”), another matrix 8 can be determined such that: a ) 8 = XX’, b) e + R (in the sense that whenever rij > rkl then ei, > e, for i # j and k # 1), or non-diagonal 8 elements… CONTINUE READING