Stopping rule for variable selection using stepwise discriminant analysis |
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Authors: | C S Munita L P Barroso P M S Oliveira |
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Institution: | 38801. Laboratório de Análise por Ativa??o Neutr?nica Instituto de Pesquisas Energéticas e Nucleares, IPEN-CNEN, C.P. 11049, 05422-970 S?o Paulo, Brazil 38802. Instituto de Matemática e Estatística, Universidade de S?o Paulo, S?o Paulo, Brazil 38803. Instituto de Matemática e Estatística, Universidade de S?o Paulo, S?o Paulo, Brazil
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Abstract: | Summary In general, when characterizing samples, such as ceramic samples or other types of samples, for first time by means of chemical
elements, the analyst measures a large number of variables, many of which may not be very informative. In fact, some may even
be unrelated to the issue at hand and blur the picture instead of making it clearer. In subsequent studies the analyst may
wish to measure fewer variables for several reasons, such as being very time consuming; in cases where measurement time is
important, such as on-line monitoring; in order to reduce cost or effort; etc. Therefore, the hope is to determine those variables
that are most relevant without losing essential information and to remove the less productive information. The problem is
how to perform this in an objective way and to capture crucial information using a multivariate analysis. This paper aims
to describe and illustrate a stopping rule for the identification of redundant variables, and the selection of variable subsets,
preserving multivariate data structure using stepwise discriminant analysis, selecting those variables that are in some senses
adequate for discrimination purposes. One illustrative example using data sets obtained via INAA of ceramic samples from two
archaeological sites is provided. |
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