Projection error term in Gower's interpolation |
| |
| Authors: | Eva Boj,M. Mercè Claramunt,Aurea Grané ,Josep Fortiana |
| |
| Affiliation: | 1. Departament de Matemàtica Econòmica, Financera i Actuarial, Facultat de Ciències Econòmiques i Empresarials, Universitat de Barcelona, Barcelona, Spain;2. Departamento de Estadística, Universidad Carlos III, Madrid, Spain;3. Departament de Probabilitat, Lògica i Estadística, Facultat de Matemàtiques, Universitat de Barcelona, Barcelona, Spain |
| |
| Abstract: | New points can be superimposed on a Euclidean configuration obtained as a result of a metric multidimensional scaling at coordinates given by Gower's 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. |
| |
| Keywords: | Distance-based prediction Metric multidimensional scaling Gower interpolation Typicality in discrimination |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
