Discriminant Analysis by Projection Pursuit

α
Evelyn Nkiruka
Evelyn Nkiruka
σ
Okonkwo
Okonkwo
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Onyeagu
Onyeagu
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Sidney
Sidney
¥
Okeke
Okeke
§
Joseph Uchenna
Joseph Uchenna
α Nnamdi Azikiwe University Nnamdi Azikiwe University

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Discriminant Analysis by Projection Pursuit

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Abstract

A non-parametric discriminant analysis (projection pursuit by principal component analysis) is discussed and used to compare three robust linear discriminant functions that are based on high breakdown point (of location and covariance matrix ) estimators. The major part of this paper deals with practical application of projection pursuit by principal component. In this study 10 simulated data sets that are binomially distributed and a real data set on the yield of two different progenies of palm tree were used for comparisons. From the findings we concluded that the non-parametric procedure (projection pursuit by principal component) have the highest predictive power among other procedures we considered. S-estimator performed better than the other two estimators when real data is considered, while MCD estimator performed better than MWCD estimator.

References

14 Cites in Article
  1. R Bolton,W Krzanowski (1999). A characterization of principal components for projection pursuit.
  2. C Chork,P Rousseeuw (1992). Integrating a high breakdown option into discriminant analysis in exploration geochemistry.
  3. C Croux,C Dehon (2001). Robust linear discriminant analysis using Sestimators.
  4. J Friedman,J Turkey (1974). Projection pursuit for exploratory data analysis.
  5. N Gunduz,E Fokoue (2015). Robust classification of high dimension low sample size data.
  6. Douglas Hawkins,Geoffrey Mclachlan (1997). High-Breakdown Linear Discriminant Analysis.
  7. Xuming He,Wing Fung (2000). High Breakdown Estimation for Multiple Populations with Applications to Discriminant Analysis.
  8. P Huber (1985). Projection pursuit.
  9. Mia Hubert,Katrien Van Driessen (2004). Fast and robust discriminant analysis.
  10. A Pires,J Branco (2010). Projection pursuit approach to robust linear discriminant analysis.
  11. J Polzehl (1993). Projection pursuit discriminant analysis.
  12. Valentin Todorov,A Pires (2007). Robust selection of variables in linear discriminant analysis.
  13. V Todorov,N Neykov,P Neytchev (1990). Robust Selection of Variables in the Discriminant Analysis Based on MVE and MCD Estimators.
  14. D Woodruff,D Rocke (1994). Computable robust estimation of multivariate location and shape in high dimension using compound estimators.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Evelyn Nkiruka. 2015. \u201cDiscriminant Analysis by Projection Pursuit\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 15 (GJSFR Volume 15 Issue F6): .

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Issue Cover
GJSFR Volume 15 Issue F6
Pg. 11- 16
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords
Classification
GJSFR-F Classification: FOR Code: 010499
Version of record

v1.2

Issue date

August 8, 2015

Language
en
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A non-parametric discriminant analysis (projection pursuit by principal component analysis) is discussed and used to compare three robust linear discriminant functions that are based on high breakdown point (of location and covariance matrix ) estimators. The major part of this paper deals with practical application of projection pursuit by principal component. In this study 10 simulated data sets that are binomially distributed and a real data set on the yield of two different progenies of palm tree were used for comparisons. From the findings we concluded that the non-parametric procedure (projection pursuit by principal component) have the highest predictive power among other procedures we considered. S-estimator performed better than the other two estimators when real data is considered, while MCD estimator performed better than MWCD estimator.

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Discriminant Analysis by Projection Pursuit

Okonkwo
Okonkwo
Evelyn Nkiruka
Evelyn Nkiruka Nnamdi Azikiwe University
Onyeagu
Onyeagu
Sidney
Sidney
Okeke
Okeke
Joseph Uchenna
Joseph Uchenna

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