Prediction of Euclidean distances with discrete and continuous outcomes

Journal of Multivariate Analysis

Volumn 97, Issue 8, 2006, Pages 1799-1814

  Mortier, F ^a   Robin, S ^b   Lassalvy, S ^e   Baril, C P ^c   Bar Hen, A ^d  

^a CIRAD   (France)

^b AGROPARISTECH   (France)

^c GEVES   (France)

^d AIX MARSEILLE UNIVERSITY   (France)

^e NONE

Author keywords

Euclidean distance; Mahalanobis distance; Multivariate probit model; Varietal distinctness

Indexed keywords

EID: 33746903209     PISSN: 0047259X     EISSN: 10957243     Source Type: Journal    
DOI: 10.1016/j.jmva.2005.06.010     Document Type: Article

References (19)

1. Anderson T.W. An Introduction to Multivariate Statistical Analysis. second ed. (1984), Wiley, New York
2. Ashford J.R., and Sowden R.R. Multivariate probit analysis. Biometrics 26 (1970) 535-546
3. Bar-Hen A., and Daudin J.J. Generalization of the Mahalanobis distance in the mixed case. J. Multivariate Anal. 53 2 (1995) 332-342
4. Bedrick E.J., Lapidus J., and Powell J.F. Estimating the Mahalanobis distance from mixed continuous and discrete data. Biometrics 56 2 (2000) 394-401
5. A.R. de Leon, Pairwise likelihood approach to grouped continuous model and its extension, 2004.
6. De Leon A.R., and Carrière K.C. A generalized Mahalanobis distance for mixed data. J. Multivariate Anal. 92 1 (2005) 174-185
7. Genz A. Numerical computation of multivariate normal probabilities. J. Comput. Graphical Statist. 1 (1992) 141-150
8. H. Joe, Multivariate Models and Dependence Concepts, Monographs on Statistics and Applied Probability, vol. 73, Chapman & Hall, London, 1997.
9. H. Joe, J.J. Xu, The estimation method of inference functions for margins for multivariate models, Technical Report, Department of statistics, University of British Columbia, 1996.
10. Krzanowski W.J. Distance between populations using mixed continuous and categorical variables. Biometrika 70 (1983) 235-243
11. Lehmann E.L., and D'Abrera H.J.M. Nonparametrics: Statistical Methods Based on Ranks (1998), Prentice-Hall, Englewood Cliffs, NJ
12. Lombard V., Baril C.P., Dubreuil F., Blouet F., and Zhang D. Genetic relationships and fingerprinting of rapeseed cultivars using AFLP: consequence for varietal registration. Crop Sci. 40 (2000) 1417-1425
13. McLachlan G.J. Discriminant Analysis and Statistical Pattern Recognition (2004), Wiley, New York
14. Magnus J.R., and Neudecker H. Matrix Differential Calculus with Applications in Statistics and Econometrics. Revised ed. (1988), Wiley, New York
15. F. Mortier, Estimation de distances euclidiennes généralisées, Application à la distinction variétales, Ph.D. Thesis, Université des Sciences et Technologies de Lille, 2002.
16. Nuel G., Robin S., and Baril C.P. Predicting distances using a linear model: the case of varietal distinctness. J. Appl. Statist. 28 5 (2001) 607-621
17. Olkin I., and Tate R.F. Multivariate correlation models with mixed discrete and continuous variables. Ann. Math. Statist. 32 (1961) 448-465
18. Poon W.-Y., and Lee S.-Y. Maximum likelihood estimation of multivariate polyserial and polychoric correlation coefficients. Psychometrika 52 (1987) 409-430
19. SAS Institute Inc., SAS/STAT User's Guide, fourth ed., SAS Institute Inc., 1994.