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Asymptotic Performance of the Location and Logistic Classification Rules for Multivariate Binary Variables

Received: 15 May 2017    Accepted: 24 May 2017    Published: 18 October 2017
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Abstract

This paper focuses on the Asymptotic Classification Procedures in Two Group Discriminate Analysis with Multivariate Binary Variables. Two data patterns were simulated using the R-Software Statistical Analysis System 2.15.3 and was subjected to two linear classification namely; Location and Logistic Models. To judge the performance of these models, the apparent error rates for each procedure are obtained for different sample sizes. The results obtained show that the location model performed better than Logistic Discrimination with the variation in the error rates being higher for Logistic Discrimination rule.

Published in International Journal of Statistical Distributions and Applications (Volume 3, Issue 2)
DOI 10.11648/j.ijsd.20170302.12
Page(s) 18-24
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Apparent Error Rates, Location Model, Logistics Classification Rule, Multivariate and Binary Variable

References
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[8] Egbo, I., Egbo, M. & Onyeagu, S. I. (2015). Performance of Robust Linear Classifier with Multivariate Binary Variables. Journal of Mathematics Research, Vol. 7, No. 4 Pp. 104-111.
[9] Egbo, I., Onyeagu, S. I. & Ekezie, D. D. (2016). Derivation of Extended Optimal classification rule for multivariable Binary variables. Journal of Theoretical mathematics and Applications, vol. 6 Issue 2.
[10] Kakai, R. L. C., Pelz, D., 7 Palm, R. (2010). On the efficiency of the linear classification rule in multi-group discriminant analysis. African Journal Of Mathematics And Computer Science Research, 3 (1), 19-25.
[11] Krzanowski, W. J. (1975). “Discrimination and classification using both binary and continuous variables”, Journal of the American Statistical Association, 70, 782-790.
[12] Efron, B. (1975). “The efficiency of Logistic Regression compared to Normal Discriminant Analysis. Journal of American Statistical Association 20, 892-898.
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[16] Bull, S. B., & Donner, A. (1987). The efficiency of multinomial logistic regression compared with multiple group discriminant analysis. Journal of the American Statistical association, 82 (400), 1118-1122.
[17] McLachlan, R. (1992). Discriminant Analysis and Statistical Pattern Recognition. John Wiley and sons Inc., New York.
[18] Richard, A. J., & Dean, W. W. (1998). Applied Multivariate Statistical Analysis. 4th edition, Prentice Hall, Inc. New Jessey.
[19] Onyeagu, S. 1. (2003). Derivation of an optimal classification rule for discrete variables. Journal of Nigerian Statistical Association vol 4, 79-80.
[20] Oludare, S. (2011). Robust Linear classifier for equal Cost Ratios of misclassification, CBN Journal of Applied Statistics (2) (1).
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  • APA Style

    Egbo Ikechukwu, Uwakwe Joy Ijeoma. (2017). Asymptotic Performance of the Location and Logistic Classification Rules for Multivariate Binary Variables. International Journal of Statistical Distributions and Applications, 3(2), 18-24. https://doi.org/10.11648/j.ijsd.20170302.12

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    ACS Style

    Egbo Ikechukwu; Uwakwe Joy Ijeoma. Asymptotic Performance of the Location and Logistic Classification Rules for Multivariate Binary Variables. Int. J. Stat. Distrib. Appl. 2017, 3(2), 18-24. doi: 10.11648/j.ijsd.20170302.12

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    AMA Style

    Egbo Ikechukwu, Uwakwe Joy Ijeoma. Asymptotic Performance of the Location and Logistic Classification Rules for Multivariate Binary Variables. Int J Stat Distrib Appl. 2017;3(2):18-24. doi: 10.11648/j.ijsd.20170302.12

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  • @article{10.11648/j.ijsd.20170302.12,
      author = {Egbo Ikechukwu and Uwakwe Joy Ijeoma},
      title = {Asymptotic Performance of the Location and Logistic Classification Rules for Multivariate Binary Variables},
      journal = {International Journal of Statistical Distributions and Applications},
      volume = {3},
      number = {2},
      pages = {18-24},
      doi = {10.11648/j.ijsd.20170302.12},
      url = {https://doi.org/10.11648/j.ijsd.20170302.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijsd.20170302.12},
      abstract = {This paper focuses on the Asymptotic Classification Procedures in Two Group Discriminate Analysis with Multivariate Binary Variables. Two data patterns were simulated using the R-Software Statistical Analysis System 2.15.3 and was subjected to two linear classification namely; Location and Logistic Models. To judge the performance of these models, the apparent error rates for each procedure are obtained for different sample sizes. The results obtained show that the location model performed better than Logistic Discrimination with the variation in the error rates being higher for Logistic Discrimination rule.},
     year = {2017}
    }
    

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    T2  - International Journal of Statistical Distributions and Applications
    JF  - International Journal of Statistical Distributions and Applications
    JO  - International Journal of Statistical Distributions and Applications
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    PB  - Science Publishing Group
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    UR  - https://doi.org/10.11648/j.ijsd.20170302.12
    AB  - This paper focuses on the Asymptotic Classification Procedures in Two Group Discriminate Analysis with Multivariate Binary Variables. Two data patterns were simulated using the R-Software Statistical Analysis System 2.15.3 and was subjected to two linear classification namely; Location and Logistic Models. To judge the performance of these models, the apparent error rates for each procedure are obtained for different sample sizes. The results obtained show that the location model performed better than Logistic Discrimination with the variation in the error rates being higher for Logistic Discrimination rule.
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Author Information
  • Department of Mathematics, Alvan Ikoku Federal College of Education, Owerri, Nigeria

  • Department of Mathematics, Alvan Ikoku Federal College of Education, Owerri, Nigeria

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