專題演講 主講人：李宗翰教授(中正大學數學系)
題 目：Multiple Imputation Confidence Intervals for the Mean of the Discrete Distributions for Incomplete Data
主講人：李宗翰教授(中正大學數學系)
時 間：111年9月23日(星期五)上午10:40-11:30
(上午10:20-10:40茶會於交大統計所428室舉行)
地 點：綜合一館427室
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摘要
Confidence intervals for the mean of discrete exponential families are widely used in many applications. Since missing data are commonly encountered, the interval estimation for incomplete data is an important problem. The performances of the existing multiple imputation confidence intervals are unsatisfactory. We propose modified multiple imputation confidence intervals to improve the existing confidence intervals for the mean of the discrete exponential families with quadratic variance functions. A simulation study shows that the coverage probabilities of the modified confidence intervals are closer to the nominal level than the existing confidence intervals when the true mean is near the boundaries of the parameter space. In addition, we also propose a proper multiple imputation procedure for the method of variance estimates recovery to estimate confidence intervals for difference between effect measures, not only for missing at random, but also for missing not at random. These confidence intervals are illustrated with real data examples.
