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Special Properties in Selection Performance of Qualitative Variables in Discriminant Analysis
Author(s) -
Haerting J.
Publication year - 1983
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.19830250302
Subject(s) - linear discriminant analysis , optimal discriminant analysis , mathematics , statistics , feature selection , bayes' theorem , discriminant , variables , selection (genetic algorithm) , discriminant function analysis , multiple discriminant analysis , variable (mathematics) , econometrics , artificial intelligence , bayesian probability , computer science , mathematical analysis
The paper deals with the optimal Bayes discriminant rule for qualitative variables. The performance of variable selection is investigated under strong assumptions like the restriction to dichotomous variables, which are assumed to be independent or dependent with fixed dependence structure, and all parameters known. Differences in comparison with normal variables in linear discriminant analysis can be shown. This is a further reason for applying special methods of discriminant analysis in the case of qualitative variables.