ODDS RATIO ESTIMATORS WHEN THE DATA ARE SPARSE

成果类型:
Article
署名作者:
BRESLOW, N
署名单位:
University of Washington; University of Washington Seattle
刊物名称:
BIOMETRIKA
ISSN/ISSBN:
0006-3444
发表日期:
1981
页码:
7384
关键词:
摘要:
The properties of 4 commonly used estimators of the odds ratio are studied under a large-sample scheme in which the number of 2 .times. 2 tables increases, but the possible marginal configurations remain fixed. Neither the unconditional maximum likelihood nor the empirical logit estimators converge to the true odds ratio; their asymptotic bias is computed for certain special cases of interest. The conditional maximum likelihood and Mantel-Haenszel estimators, which are consistent, have asymptotic variances whose ratio tends to one under the null hypothesis. Even for moderately large odds ratios the simple Mantel-Haenszel estimator maintains good efficiency.