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2013 | 50 | 1 | 1-14

Tytuł artykułu

Selection of variables in Discrete Discriminant Analysis

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Języki publikacji

EN

Abstrakty

EN
In Discrete Discriminant Analysis one often has to deal with dimensionality problems. In fact, even a moderate number of explanatory variables leads to an enormous number of possible states (outcomes) when compared to the number of objects under study, as occurs particularly in the social sciences, humanities and health-related elds. As a consequence, classi cation or discriminant models may exhibit poor performance due to the large number of parameters to be estimated. In the present paper, we discuss variable selection techniques which aim to address the issue of dimensionality. We speci cally perform classi cation using a combined model approach. In this setting, variable selection is particularly pertinent, enabling the handling of degrees of freedom and reducing computational cost.

Wydawca

Czasopismo

Rocznik

Tom

50

Numer

1

Strony

1-14

Opis fizyczny

Daty

wydano
2013-06-01
online
2013-06-05

Twórcy

  • Barreiro College of Technology, Setúbal Polytechnic, IPS, Portugal
  • LEAD, Faculty of Psychology, University of Lisbon, Portugal, CEAUL and UNIDE
  • Dep. of Quantitative Methods of ISCTE - Lisbon University Institute, Portugal and UNIDE

Bibliografia

  • Benjamini Y., Hochberg Y.(1995): Controlling the False Discovery Rate: A Practical and Powerful Approach to Multiple Testing. Journal of the Royal Statistical Society. Series B (Methodological) 57 289-300.
  • Bishop C.M.(1995): Neural Networks for Pattern Recognition. Oxford University Press.
  • Brito I., Celeux C., Ferreira A.S.(2006): Combining Methods in Supervised Classication: a Comparative Study on Discrete and Continuous Problems. Revstat-Statistical Journal: 4(3): 201-225.
  • Celeux G., Mkhadri A.(1992): Discrete regularized discriminant analysis. Statistics and Computing 2(3): 143-151.[Crossref]
  • Celeux G., Nakache J.P.(1994): Analyse Discriminante sur Variables Qualitatives. G. Celeux et J. P. Nakache diteurs, Polytechnica.
  • Ferreira A.S.(2000): Combinação de Modelos em Análise Discriminante sobre Variáveis Qualitativas. PhD thesis (in portuguese), Universidade Nova de Lisboa.
  • Ferreira A.S.(2010): A Comparative Study on Discrete Discriminant Analysis through a Hierarchical Coupling Approach. In Classication as a Tool for Research, Studies in Classication, Data Analysis, and Knowledge Organization; Hermann Locarek-Junge, Claus Weihs (Eds.), Springer-Verlag, Heidelberg- Berlin: 137-145.
  • Ferreira A.S.(2004): Combining models approach in Discrete Discriminant Analysis through a committee of methods. In Classication, Clustering, and Data Mining Applications; D. Banks, L. House, F. R. McMorris, P. Arabie, W. Gaul (Eds.), Springer: 151-156.
  • Ferreira A.S., Cardoso M.(2010): Evaluation of Results in Discrete Discriminant Analysis. Book of Abstracts of Stochastic Modeling Techniques and Data Analysis International Conference, Skiadas, C. H. (Eds.), Chania, Creta, Grécia, Junho: 94-95.
  • Ferreira A.S., Celeux G., Bacelar-Nicolau H.(1999): Combining models in discrete discriminant analysis by an hierarchical coupling approach. Proceedings of the IX International Symposium of ASMDA: 159-164.
  • Ferreira A.S., Celeux G., Bacelar-Nicolau H.(2000): Discrete Discriminant Analysis: The performance of Combining Models by an Hierarchical Coupling Approach. In Kiers, Rasson, Groenen and Shader, editors, Data Analysis, Classication and Related Methods, Springer: 181{186.
  • Ferreira A.S., Celeux G., Bacelar-Nicolau H.(2001): New developments on combining models in Discrete Discriminant Analysis by a Hierarchical Coupling approach. Applied Stochastic Models and Data Analysis- ASMDA; G. Govaert, J. Janssen, N. Limnios (Eds.), UTC: 430-435.
  • Goldstein M., Dillon W.R.(1978): Discrete Discriminant Analysis. New York: Wiley.
  • Holm S.(1979): A simple sequentially rejective multiple test procedure. Scandinavian Journal of Statistics 6(2): 65-70.
  • Marques A., Ferreira A.S., Cardoso M. (2008): Uma proposta de combinação de modelos em Análise Discriminante. Estatística - Arte de Explicar o Acaso, in Oliveira I. et al. Editores, Ci^encia Estatística, Edições S.P.E.: 393{403.
  • Matusita K. (1955): Decision rules based on distance for problems of fit, two samples and estimation. In Ann. Inst. Stat. Math. 26(4): 631-640.[Crossref]
  • Pawlak Z.(1982): Rough sets. International Journal of Computer and Information Sci. 11: 341{356.
  • Pearl J.(1988): Probabilistic reasoning in intelligent systems: Networks of plausible inference. Los Altos: Morgan Kaufmann.
  • Prazeres N.L.(1996): Ensaio de um Estudo sobre Alexitimia com o Rorschach e a Escala de Alexitimia de Toronto (TAS-20). Master Thesis, Univ. Lisbon.
  • Saraiva F.(2010): Satisfaçao Conjugal e relaçao coparental ao longo do ciclo vital da familia. Master Thesis, Univ. Lisbon.
  • Silva A.P.D.(2010): Classicaçao supervisionada para dados de elevada dimensăo. Livro de resumos das XVII Jornadas de Classicaçao e Anlise de Dados (JOCLAD 2010), ISCTE Eds. pp. 17.

Typ dokumentu

Bibliografia

Identyfikatory

Identyfikator YADDA

bwmeta1.element.doi-10_2478_bile-2013-0013
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