1. School of Statistics and Data Science, Xinjiang University of Finance, Urumqi 830012; 2. Center
for Applied Statistics, School of Statistics, Renmin University of China, Beijing 100872
Conditional odds ratio is usually used to quantify the
strength of the association between a given disease and a suspected
exposure risk factor in matched-pair design. It has important
clinical significance in medical research. In this paper four
methods used to construct
the asympotic confidence interval of conditional odds ratio under trinomial sampling, Delta method, log transformation method, an improved
method based on Filler's theorem and score statistics method respectively. Each method has its own advantages and disadvantages.
It is an innovation of this paper to consider the confidence interval of the conditional odds ratio under the trinomial sampling.
We use Monte Carlo simulation to evaluate the four interval estimation methods based on the coverage of interval to conditional odds ratio and the average interval length.
Finally, two empirical cases are used to show the different characteristics of four interval estimation methods.
G¨ ULISTAN Kurbanyaz, MENG Lijun, TIAN Maozai.
Confidence Interval Construction for Conditional Odds Ratio
in Matched-Pair Design. Journal of Systems Science and Mathematical Sciences, 2021, 41(3): 824-836 https://doi.org/10.12341/jssms20165