Conditional Maximum Likelihood Estimate and Exact Test of the Common Relative Difference in Combination of 2 × 2 Tables under Inverse Sampling
✍ Scribed by Kung-Jong Lui
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 723 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0323-3847
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✦ Synopsis
On the basis of the conditional distribution, given the marginal totals of non-cases 6xed for each of independent 2 x 2 tables under invase sampling, this paper develops the conditional maximum likelihood (CMLE) estimator of the underlying common relative dBerence (RD) and its asymptotic conditional variance. This paper further provides for the RD an exact interval calculation procedure, of which the coverage probability is always larger than or equal to the desired confidence level and for investigating whether the underlying common RD equals any specified value an exact test procedure, of which Type I error is always less than or equal t o the nominal a-level. These exact interval estimation and exact hypothesis testing procedures are especially useful for the situation in which the number of index subjects in a study is small and the asymptotically approximate methods may not be appropriate for use. This paper also notes the condition under which the CMLE of RD uniquely exists and includes a simple example to illustrate use of t h e techniques.