DOI QR코드

DOI QR Code

A Comparison Study for the Confidence Intervals of the Common Odds Ratio in the Stratified 2 X 2 Tables Using the Average Coverage Probability

  • 발행 : 2003.12.01

초록

In this paper, various methods for finding confidence intervals for common odds ratio $\psi$ of the K 2${\times}$2 tables are reviewed. Also we propose two jackknife confidence intervals and bootstrap confidence intervals for $\psi$. These confidence intervals are compared with the other existing confidence intervals by using Monte Carlo simulation with respect to the average coverage probability.

키워드

참고문헌

  1. 평택대학교 논문집 v.16 층화된 K 2x2 분할표에서 붓스트랩 방법을 이용한 공통오즈비의 추정과 비교 곽민정;박종태;정형철;김희규
  2. The American Statistician v.52 Approximate is better than exact for interval estimation of binomial proportions Agrest,A.;Coull,B.A. https://doi.org/10.2307/2685469
  3. Biometrika v.68 Odds ratio estimators when the data are sparse Breslow,N.E. https://doi.org/10.1093/biomet/68.1.73
  4. Biometrics v.38 The variance of the Mantel-Haenszel odds ratio Breslow,N.E.;Liang,K.Y. https://doi.org/10.2307/2529874
  5. Statistical Methods in Medical Research v.3 Combining estimates of the odds ratio: the state of the art Emerson,J.D. https://doi.org/10.1177/096228029400300204
  6. Biometrics v.41 A new variance estimator for the Mantel-Haenszel odds ratio Flanders,W.D. https://doi.org/10.2307/2531283
  7. Biometrics v.35 The large-scale variance of the Mantel-Haenszel estimator of a common odds ratio Hauck,W.W. https://doi.org/10.2307/2530114
  8. Applied statistics Computation exact distribution for several 2x2 tables Hirji,K.F.;Vollset,S.E.
  9. The Korean Communications in Statistics v.7 no.3 A simulation study for the confidence interval of p by using average coverage probability Kim,D.H.;Jeong,H.C.
  10. The Korean Communications in Statistics v.7 no.3 A comparison of some approximate confidence interval for the poisson parameter Kim,D.H.;Jeong,H.C.
  11. Journal of the American Statistical Association v.80 Computing an Exact Confidence Interval for the Common Odds Ratio in Several 2x2 Contingency Tables Mehta,C.R.;Patel,N.R.;Gray,R. https://doi.org/10.2307/2288562
  12. The American Statistician v.46 Comparison of exact, mid-P, and Mantel-Haenszel confidence intervals for the common odds ratio across several 2x2 contingency tables Mehta,C.R.;Walsh,S.J. https://doi.org/10.2307/2684185
  13. Biometrics v.47 A Jackknife Estimator of a Combined Odds Ratio Pigeot,I. https://doi.org/10.2307/2532132
  14. Biometrics v.43 Estimators of the variance of the Mantel-Haenszel log-odds-ratio estimate Phillips,A.;Holland,P.W. https://doi.org/10.2307/2531824
  15. Biometrics v.42 Estimators of the Mantel-Haenszel variance consistent in both sparse data and large-strata limiting models Robins,J.;Breslow,N.E.;Greenland,S. https://doi.org/10.2307/2531052
  16. Biometrics v.46 Confidence limits for the common odds ratio based on the asymptotic distribution of the Mantel-Haenszel estimator Sato,T. https://doi.org/10.2307/2531631
  17. The Annals of Statistics v.9 On the asymptotic accuracy of Efron's bootstrap Singh,K. https://doi.org/10.1214/aos/1176345636
  18. Cytel software corporation A statistica package for exact nonparametric inference StatXact
  19. Journal of the American Statistical Association v.86 Fast computation of exact confidence limits for the common odds ratio in a series of 2x2 contingency tables Vollset,S.E.;Hirji,K.F.;Elashoff,R.M. https://doi.org/10.2307/2290585
  20. Statistics Probability Letters v.7 Singh's theorem in the lattice case Woodroofe,M.;Jhun,M.