, Volume 35, Issue 2, pp 245–255

Fitting one matrix to another under choice of a central dilation and a rigid motion

  • Peter H. Schönemann
  • Robert M. Carroll

DOI: 10.1007/BF02291266

Cite this article as:
Schönemann, P.H. & Carroll, R.M. Psychometrika (1970) 35: 245. doi:10.1007/BF02291266


A least squares method is presented for fitting a given matrixA to another given matrixB under choice of an unknown rotation, an unknown translation, and an unknown central dilation. The procedure may be useful to investigators who wish to compare results obtained with nonmetric scaling techniques across samples or who wish to compare such results with those obtained by conventional factor analytic techniques on the same sample.

Copyright information

© Psychometric Society 1970

Authors and Affiliations

  • Peter H. Schönemann
    • 1
  • Robert M. Carroll
    • 1
  1. 1.The Ohio State UniversityUSA
  2. 2.Purdue UniversityUSA
  3. 3.the University of MarylandUSA