Standard Article

Oblique Rotation

  1. J. Edward Jackson

Published Online: 15 JUL 2005

DOI: 10.1002/0470011815.b2a13061

Encyclopedia of Biostatistics

Encyclopedia of Biostatistics

How to Cite

Jackson, J. E. 2005. Oblique Rotation. Encyclopedia of Biostatistics. 6.

Author Information

  1. Rochester, NY, USA

Publication History

  1. Published Online: 15 JUL 2005


Any rotation of vectors associated with principal components analysis or factor analysis designed to produce new set approximating simple structure is said to be oblique if the resultant set of vectors are not at right angles to each other. Oblique rotations may obtain a better approximation to simple structure but with the loss of orthogonality. Some of these rotations are obtained by a general procedure called Oblimin rotation but some of the more widely used rotations such as Orthoblique, Promax and Optres do not use this form but instead are two- and three-stage procedures, usually using orthogonal rotations as the first stage.


  • principal component analysis;
  • factor analysis;
  • rotation of axes;
  • oblique rotation;
  • Oblimin rotation;
  • Orthoblique rotation;
  • Promax rotation;
  • Optres rotation