## The Proximity of an Individual to a Population With Applications in Discriminant Analysis (1995)

Citations: | 18 - 10 self |

### BibTeX

@MISC{Cuadras95theproximity,

author = {C. M. Cuadras and J. Fortiana and F. Oliva},

title = {The Proximity of an Individual to a Population With Applications in Discriminant Analysis},

year = {1995}

}

### OpenURL

### Abstract

: We develop a proximity function between an individual and a population from a distance between multivariate observations. We study some properties of this construction and apply it to a distance--based discrimination rule, which contains the classic linear discriminant function as a particular case. Additionally, this rule can be used advantageously for categorical or mixed variables, or in problems where a probabilistic model is not well determined. This approach is illustrated and compared with other classic procedures using four real data sets. Keywords: Categorical and mixed data; Distances between observations; Multidimensional scaling; Discrimination; Classification rules. AMS Subject Classification: 62H30 The authors thank M.Abrahamowicz, J. C. Gower and M. Greenacre for their helpful comments, and W. J. Krzanowski for providing us with a data set and his quadratic location model program. Work supported in part by CGYCIT grant PB93--0784. Authors' address: Departam...