Journal ArticleDOI
Simultaneous procedures for variable selection in multiple discriminant analysis
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In this article, the relative importance of variable subsets in the analysis of multivariate data has been discussed and a set of procedures have been proposed to isolate subsets of variables which provide essentially as much separation among the groups in each subset of groups as the original set of variables.Abstract:
SUMMARY The purpose of the procedures proposed in this paper is to provide information about the relative importance of variable subsets in the analysis of multivariate data. In multiple discriminant analysis the procedures isolate subsets of variables which provide essentially as much separation among the groups in each subset of groups as the original set of variables. Each procedure is a simultaneous test procedure in that the type I probability error rate for the family of hypotheses tested cannot exceed a specified value.read more
Citations
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Interpreting Discriminant Functions: A Data Analytic Approach.
TL;DR: Based on a geometric interpretation of MANOVA, new indices called discriminant ratio coefficients are derived which will aid in the identification and interpretation of that subset of variables that essentially contribute to a significant group discrimination.
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A test for additional information in canonical correlation analysis
TL;DR: In this paper, a hypothesis concerning the relevance of a subset of variables from each of the two given variable sets is formulated and the likelihood ratio statistic for the hypothesis and an asymptotic expansion for its null distribution are obtained.
Journal ArticleDOI
Feature Selection for Classification of Polar Regions Using a Fuzzy Expert System
TL;DR: This study examines several methods for feature selection in polar regions, including the use of a fuzzy logic-based expert system for further refinement of a set of selected features, and shows that the divergence method produces the best set of features, which has the highest classification accuracy, but also it has the lowest computation requirements.
Journal ArticleDOI
Stability and bias of classification rates in biological applications of discriminant analysis
TL;DR: The sampling stability of classification rates in discriminant analysis by using a factorial design with factors for multivariate dimensionality, dispersion structure, configuration of group means, and sample size was assessed by.
References
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Journal ArticleDOI
Simultaneous test procedures-some theory of multiple comparisons'
TL;DR: The Simultaneous Test Procedure (STP) as discussed by the authors is a generalization of the notion of multiple comparisons for means, which was originally proposed by Aitchison and Roy.
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On the Use of Discriminant Functions in Taxonomy
TL;DR: For example, Romanovsky as mentioned in this paper showed that for any two out of three species of Chaetocnema, a pair of discriminant functions, each based on three characters, provides excellent discrimination: discrimination between the species used to construct the functions and the third species is less satisfactory.
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Simultaneous test procedures in multivariate analysis of variance
TL;DR: In this article, the authors present procedures for multivariate analysis of variance, which simultaneously test for significance all variables together as well as all subsets of variables, or the differences between all samples and between the samples of any subgroup.
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Computations for Variable Selection in Discriminant Analysis
TL;DR: In this paper, an algorithm for computing statistics for all possible subsets of variables for a discriminant analysis is proposed and a comparison with a stepwise procedure is also presented through two examples.
Journal ArticleDOI
Simultaneous Procedures in Discriminant Analysis Involving Two Groups
TL;DR: In this article, a simrdaneous test procedure is proposed for determining the number of variables required to discriminate between two multivariate normal distributions, which is based on a wider set of features.