Logit Confidence Intervals Using Pseudo-Bayes Estimators for the Common Odds Ratio in 2 X 2 X K Contingency Tables

Title & Authors
Logit Confidence Intervals Using Pseudo-Bayes Estimators for the Common Odds Ratio in 2 X 2 X K Contingency Tables
Kim, Donguk; Chun, Eunhee;

Abstract
We investigate logit confidence intervals for the odds ratio based on the delta method. These intervals are constructed using pseudo-Bayes estimators. The Gart method and Agresti method smooth the observed counts toward the model of equiprobability and independence, respectively. We obtain better coverage probability by smoothing the observed counts toward the pseudo-Bayes estimators in 2$\small{\times}$2 table. We also improve legit confidence intervals in 2$\small{\times}$2$\small{\times}$K tables by generalizing these ideas. Utilizing pseudo-Bayes estimators, we obtain better coverage probability by smoothing the observed counts toward the conditional independence model, no three-factor interaction model and saturated model in 2$\small{\times}$2$\small{\times}$K tables.
Keywords
Confidence interval;Coverage probability;Delta method;Odds ratio;Pseudo-Bayes estimator;Small sample;2$\small{{\times}}$2$\small{{\times}}$K table;
Language
Korean
Cited by
References
1.
Biometrics, 1999. vol.55. pp.597-602

2.
Discrete Multivariate Analysis, 1975.

3.
Journal of Multivariate Analysis, 1972. vol.2. pp.127-134

4.
Journal of the Royal Statistical Society, Series B, 1966. vol.28. pp.164-169

5.
The Korean Communications in Statistics, 2000. vol.7. pp.313-326

6.
Journal of the American Statistical Association, 1961. vol.58. pp.223-234

7.
Journal of the American Statistical Association, 1963. vol.58. pp.690-700

8.
Journal of the National Cancer Institutute, 1959. vol.22. pp.719-748

9.
Biometrics, 1986. vol.42. pp.311-323

10.
studies in Bayesian Econometrics and Statistics, 1974. pp.585-627

11.
Annals of Human Genetics, 1955. vol.19. pp.251-253