BOUNDS ON THE SIZE OF THE LIKELIHOOD RATIO TEST OF INDEPENDENCE IN A CONTINGENCY TABLE

被引：6
|
作者：
LOH, WY
YU, XJ
机构：
[1] University of Wisconsin, Madison
来源：
JOURNAL OF MULTIVARIATE ANALYSIS | 1993年 / 45卷 / 02期
关键词：
CHI-SQUARE APPROXIMATION; MULTINOMIAL; POISSON;
D O I：
10.1006/jmva.1993.1040
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：
Bounds are obtained on the limiting size of the nominal level-α likelihood ratio test of independence in a r × c contingency table. The situations considered include sampling with both marginal totals random and with one margin fixed. Upper and lower bounds are obtained. The limiting size is greater than α when some marginal probabilities are small. As the degrees of freedom increase, the limiting size tends to 1 for all α-values. © 1993 Academic Press, Inc.
引用
收藏
页码：291 / 304
页数：14
相关论文
共 50 条
  • [1] BOUNDS ON THE SIZE OF THE CHI-2-TEST OF INDEPENDENCE IN A CONTINGENCY TABLE
    LOH, WY
    [J]. ANNALS OF STATISTICS, 1989, 17 (04): : 1709 - 1722
  • [2] The likelihood test of independence in contingency tables
    Wilks, SS
    [J]. ANNALS OF MATHEMATICAL STATISTICS, 1935, 6 : 190 - 196
  • [3] ON A LIKELIHOOD RATIO TEST FOR INDEPENDENCE
    ALLAIRE, J
    LEPAGE, Y
    [J]. STATISTICS & PROBABILITY LETTERS, 1991, 11 (05) : 449 - 452
  • [4] A likelihood ratio test of quasi-independence for sparse two-way contingency tables
    Nandram, Balgobin
    Bhatta, Dilli
    Bhadra, Dhiman
    [J]. JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2015, 85 (02) : 284 - 304
  • [5] On the distribution of the likelihood ratio test of independence for random sample size - a computational approach
    Coelho, Carlos A.
    Marques, Filipe J.
    Jorge, Nadab
    Nunes, Celia
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 404
  • [6] Linear independence in a contingency table
    Tsumoto, S
    Hirano, S
    [J]. 2005 IEEE International Conference on Granular Computing, Vols 1 and 2, 2005, : 646 - 651
  • [7] On statistical independence in a contingency table
    Tsumoto, S
    [J]. Foundations of Data Mining and Knowledge Discovery, 2005, 6 : 131 - 141
  • [8] Linear independence in contingency table
    Tsumoto, S
    [J]. ROUGH SETS, FUZZY SETS, DATA MINING, AND GRANULAR COMPUTING, 2003, 2639 : 316 - 319
  • [9] Rank and independence in contingency table
    Tsumoto, S
    [J]. DATA MINING AND KNOWLEDGE DISCOVERY: THEORY, TOOLS, AND TECHNOLOGY VI, 2004, 5433 : 178 - 189
  • [10] POSITIVE ASSOCIATION IN A 2-WAY CONTINGENCY TABLE - LIKELIHOOD RATIO TESTS
    GROVE, DM
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1984, 13 (08) : 931 - 945
12345