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Inference about Measure of Agreement in the General Mixture Model via Parameter Orthogonalization

  • Um, Jongseok (Information & Computer Engineering Division, Hansung University)
  • 발행 : 2003.08.01

초록

Collecting data through experiment, the observers are an import source of measurement error and the inference on the measure of agreement, say kappa, is necessary. The models commonly used are complicated general mixture model, which have many nuisance parameters. Orthogonalization of parameters reduce the effect of nuisance parameter. Orthogonalization of estimating function gives the same effect as the parameter orthogonalization. In this study, the method for orthogonalization of estimating equation is studied and applied to the Beta-binomial model to examine the properties of the estimate of kappa. As a result, the likelihood function is insensitive to the change of the nuisance parameter and bias is smaller than the result of m.1.e. when kappa has extreme values

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참고문헌

  1. The Korean Communications in Statistics v.2 no.2 일반혼합이항모형에서 평가일치도의 로버스트 추정 엄종석
  2. Psycho. Rep. v.19 The Intraclass Correlation Coefficient as a Measure of Reliability Bartko,J.J. https://doi.org/10.2466/pr0.1966.19.1.3
  3. Educational and Pschological Measurement v.20 A Coefficient of Agreement for Nominal Scales Cohen,J.
  4. J.R.S.S. v.B41 Inference about the intraclass Correlation Coefficient in the Beta-Binomial Anova for Proportions Crowder,M.J.
  5. Psychol. Bulletin v.76 Measuring Nominal Scale Agreement Among Many Raters Fleiss,J.L. https://doi.org/10.1037/h0031619
  6. Annals of Statistics v.2 Estimating Equations in the Presence of a Nuisance Parameter Godambe,V.P.;Tompson,M.E. https://doi.org/10.1214/aos/1176342718
  7. Psychol. Bulletin v.84 Kappa Revisited Hubert,L. https://doi.org/10.1037/0033-2909.84.2.289
  8. Proc. Camb. Phil. Soc. v.46 Probability Distribution and Orthogonal Parameters Huzurbazar,V.S. https://doi.org/10.1017/S0305004100025743
  9. Theory of Probability(3rd edition) Jeffreys,H.
  10. Psychometrika v.44 Ramifications of a Population Model for Kappa as a Coefficient of Reliability Kraemer,H.C. https://doi.org/10.1007/BF02296208
  11. Real and Complex Analysis(3rd ed.) Rudin,W.
  12. Estimating function Geometrical Aspects of Efficiency criteria for spaces of estimating functions Small,C.G.;McLeish,D.L.
  13. Journal of Multivariate Analysis v.27 Estimating multiple rater agreement for a rare diagnosis Verducci,J.S.;Mack,E.M.;DeGroot,M.H. https://doi.org/10.1016/0047-259X(88)90145-5