Projection Error Term in Gower's Interpolation Articles uri icon

publication date

  • June 2009

start page

  • 1867

end page

  • 1878

issue

  • 6

volume

  • 139

International Standard Serial Number (ISSN)

  • 0378-3758

Electronic International Standard Serial Number (EISSN)

  • 1873-1171

abstract

  • New points can be superimposed on a Euclidean configuration obtained as a result of a metric multidimensional scaling at coordinates given by {\it J. C. Gower}'s [Biometrika 55, 582‒585 (1968; Zbl 0167.17802)] interpolation formula. The procedure amounts to discarding a, possibly nonnull, coordinate along an additional dimension. We derive an analytical formula for this projection error term and, for real data problems, we describe a statistical method for testing its significance, as a cautionary device prior to further distance-based predictions.