Journals / Anadolu Üniversitesi Bilim ve Teknoloji Dergisi :A-Uygulamalı Bilimler ve Mühendislik / 2003 / Cilt: 4 - Sayı: 1

An eveluation of the jackknifed and bootsraped error rate estimators of actual error rate in discriminant analysis

Diskriminant analizinde gerçek hata oranı tahmin edicilerinin jackknifed ve bootstrap değerlendirmesi

Pages
59–66
Publication Date
2022-10-11
DOI
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⚡ TL;DR(Too Long; Didn't Read)

In this study the jackknifed and bootstraped version of the some error rate estimators for the actual error rate have been evaluated by simulation in discriminant analysis of two different multivariate normal populations.

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Objective & Hypothesis:In this study the jackknifed and bootstraped version of the some error rate estimators for the actual error rate have been evaluated by simulation in discriminant analysis of two different multivariate normal populations.
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Key Findings & Data:In this study the jackknifed and bootstraped version of the some error rate estimators for the actual error rate have been evaluated by simulation in discriminant analysis of two different multivariate normal populations.
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Conclusion & Impact:In this study the jackknifed and bootstraped version of the some error rate estimators for the actual error rate have been evaluated by simulation in discriminant analysis of two different multivariate normal populations.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this study the jackknifed and bootstraped version of the some error rate estimators for the actual error rate have been evaluated by simulation in discriminant analysis of two different multivariate normal populations.

Özet

Bu çalışmada diskriminant analizinde iki çok değişkenli normal kitle olması durumunda, gerçek hata oranı için bazı hata oranı tahmin edicilerinin jackknife ve bootstrap değerlendirmesi simülasyon çalışmasıyla verilmektedir.

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Cite This Article

ATAKAN, C. (2022). An eveluation of the jackknifed and bootsraped error rate estimators of actual error rate in discriminant analysis. Anadolu Üniversitesi Bilim ve Teknoloji Dergisi :A-Uygulamalı Bilimler ve Mühendislik, Cilt: 4 - Sayı: 1, 59–66. https://ajindex.com/articles/438461

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References (12)

  1. Anderson, T.W. (1984). An Introduction to Multivariate Statistical Analysis. Second Edition,
  2. New York, John Wiley & Sonsc Inc. Efron, B. (1979). Bootstrap Methods: Another look at the Jackknife. Annals of Stat. 7, 1-26.
  3. Efron, B. (1982). The Jackknife, the Bootstrap and other resampling Plans. J. W. Arrowsmith ltd., Bristol, England. Efron, B. ve Gong. (1983). A Leisurely look at the bootstrap, the Jackknife and Cross validation. The American Statistician 37, 36-48.
  4. Fisher, R.A. (1936). The use of the multiple measurements in taxonomic problems. Annals of Eugenicsl, 179-188.
  5. Hills, M. (1966). Allocation rules and their error rates. Journal of the Royal Statistical Society Ser. B, 28, 1-20.
  6. Lachenbruch, P.A. (1968). On expected probability of misclassification in discriminant analysis, necessary sample size and a relation with the multiple correlation coefficient. Biometrics 24, 823-834.
  7. Lachenbruch, P.A. ve Mickey, M.R. (1968). Estimation of error rates in discriminant analysis. Technometrics 10, 1-11.
  8. Lachenbruch, P.A. (1975).
  9. Discriminant Analysis. Hafner Press., New York. McLachlan, G.J. (1974). An Asimptotic unbiased technique for estimation the error rates in discriminant analysis. Biometrics 30, 239-249.
  10. Okamoto, M. (1963). An Asymptotic Expansion for the Distribution of the Linear Discriminant Function. Annals of Math. Statistics, 34, 1286-1301.
  11. Seber, G.A.F. (1984). Multivariate Observations. John Wiley & Sons. Inc. Sitgreaves, R. (1961). Some results on the distribution of the W classification statistics. Item Analysis and Pridiction, Ed. H. Solomon Stanford, Calif. Stanford University Press. 241-251.
  12. Snapinn, S.M. (1983). An Evaluation of Smoothed Error Rate Estimators in Discriminant Analysis, Institute of Statistics Mimeo Series No: 1483, University North Carolina at Chapel Hill. Welch. B.L. (1939). Note on the discriminant functions. Biometrica 31, 218-220.