Abstract
In this article, we consider problems with correlated data that can be summarized in a 2 × 2 table with structural zero in one of the off-diagonal cells. Data of this kind sometimes appear in infectious disease studies and two-step procedure studies. We propose two kinds of approximate sample size formulas, based on rate ratio, for comparison of the marginal and conditional probabilities in a correlated 2 × 2 table with structural zero. The first type of formula is derived to guarantee a pre-specified power of a hypothesis test at certain significance level while the second type of formula is developed to bound the width of a confidence interval with specified confidence level. Our empirical studies confirm that sample size formulas based on the log-transformation and score tests outperform that based on the Wald's test. We illustrate our methodologies with a real example from a two-phase treatment study.
Original language | English |
---|---|
Pages (from-to) | 1166-1180 |
Number of pages | 15 |
Journal | Journal of Statistical Planning and Inference |
Volume | 136 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1 Mar 2006 |
Scopus Subject Areas
- Statistics and Probability
- Statistics, Probability and Uncertainty
- Applied Mathematics
User-Defined Keywords
- Asymptotic inference
- Correlated binary data
- Rate ratio
- Score test
- Structural zero