Robust confidence intervals for a proportion using ranked-set sampling

被引:0
作者
Jesse Frey
Yimin Zhang
机构
[1] Villanova University,Department of Mathematics and Statistics
来源
Journal of the Korean Statistical Society | 2021年 / 50卷
关键词
Clopper–Pearson; Expected length; Imperfect rankings; Maximum likelihood estimation; Mid-; adjustment;
D O I
暂无
中图分类号
学科分类号
摘要
We develop two new approximate confidence interval methods for estimating a population proportion using balanced ranked-set sampling (RSS). Unlike existing RSS-based methods, the new methods control the coverage probability well not just under perfect rankings, but also under imperfect rankings. One method uses a Wilson-type interval, and the other is based on making a mid-P adjustment to a Clopper–Pearson-type interval. Both methods rely on a new maximum-likelihood-based method for estimating the proportions in the judgment strata when the overall proportion is given, and both can be computed even for large sample sizes.
引用
收藏
页码:1009 / 1028
页数:19
相关论文
共 56 条
  • [1] Berry G(1995)Mid- Journal of the Royal Statistical Society Series D (The Statistician) 44 417-423
  • [2] Armitage P(2000) confidence intervals: A brief review Canadian Journal of Statistics 28 783-798
  • [3] Blaker H(1992)Confidence curves and improved exact confidence intervals for discrete distributions Journal of the American Statistical Association 87 552-561
  • [4] Bohn LL(1994)Nonparametric two-sample procedures for ranked-set samples data Journal of the American Statistical Association 89 168-176
  • [5] Wolfe DA(2005)The effect of imperfect judgment rankings on properties of procedures based on the ranked-set sample analog of the Mann-Whitney-Wilcoxon statistic Statistics in Medicine 24 3319-3329
  • [6] Bohn LL(1934)Ranked set sampling for efficient estimation of a population proportion Biometrika 26 404-413
  • [7] Wolfe DA(1972)The use of confidence or fiducial limits illustrated in the case of the binomial Biometrics 28 545-555
  • [8] Chen H(2007)Ranked set sampling theory with order statistics background Canadian Journal of Statistics 35 585-596
  • [9] Stasny EA(2007)Distribution-free statistical intervals via ranked-set sampling Journal of Statistical Planning and Inference 137 1433-1445
  • [10] Wolfe DA(2007)New imperfect rankings models for ranked set sampling Journal of the American Statistical Association 102 708-717