Some correlations in intersection-union tests and their relationship with complete power

被引：0
|
作者：
Liu, Fang [1 ]
机构：
[1] Merck Res Labs, Biostat & Res Decis Sci, Rahway, NJ 07065 USA
来源：
STATISTICS & PROBABILITY LETTERS | 2011年 / 81卷 / 04期
关键词：
Co-primary hypotheses; Correlation between test statistics; Correlation between estimates; Lower bound; Product of individual powers;
D O I：
10.1016/j.spl.2010.12.004
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
We explore the relationship between some correlations and complete power in intersection-union tests. We invalidate the approach of using the product of individual powers from testing each individual hypothesis as a lower bound estimate of the complete power, assuming nonnegative correlations. (c) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码：518 / 523
页数：6
相关论文
共 50 条
  • [1] INTERSECTION-UNION SYSTEMS
    MARKOWSKY, G
    WOHLGEMUTH, A
    DISCRETE APPLIED MATHEMATICS, 1983, 6 (03) : 255 - 262
  • [2] Bioequivalence trials, intersection-union tests and equivalence confidence sets
    Berger, RL
    Hsu, JC
    STATISTICAL SCIENCE, 1996, 11 (04) : 283 - 302
  • [3] Bioequivalence Trials, Intersection-Union Tests and Equivalence Confidence Sets: Rejoinder
    Berger, R. L.
    Hsu, J. C.
    Statistical Science, 1996, 11 (04)
  • [4] AN INTERSECTION-UNION THEOREM FOR INTEGER SEQUENCES
    ENGEL, K
    GRONAU, HDOF
    DISCRETE MATHEMATICS, 1985, 54 (02) : 153 - 159
  • [5] Intersection-union tests for characterising recent changes in smoothed indicator time series
    Trenkel, Verena M.
    Rochet, Marie-Joelle
    ECOLOGICAL INDICATORS, 2009, 9 (04) : 732 - 739
  • [6] Bioequivalence trials, intersection-union tests and equivalence confidence sets - Comments and rejoinder
    Hauck, WW
    Anderson, S
    Meredith, MP
    Heise, MA
    Liu, JP
    Chow, SC
    Schuirmann, DJ
    Hwang, JTG
    Berger, RL
    Hsu, JC
    STATISTICAL SCIENCE, 1996, 11 (04) : 303 - 319
  • [7] Testing for Equivalence: An Intersection-Union Permutation Solution
    Arboretti, R.
    Carrozzo, E.
    Pesarin, F.
    Salmaso, L.
    STATISTICS IN BIOPHARMACEUTICAL RESEARCH, 2018, 10 (02): : 130 - 138
  • [8] An Intersection-Union Test for the Sharpe Ratio
    Frahm, Gabriel
    RISKS, 2018, 6 (02):
  • [9] Optimal design of experiments for hypothesis testing on ordered treatments via intersection-union tests
    Belmiro P. M. Duarte
    Anthony C. Atkinson
    Satya P. Singh
    Marco S. Reis
    Statistical Papers, 2023, 64 : 587 - 615
  • [10] Assessment of agreement using intersection-union principle
    Choudhary, PK
    Nagaraja, HN
    BIOMETRICAL JOURNAL, 2005, 47 (05) : 674 - 681
12345