Sample Size Calculation for Complete Data and Interval Estimation for the Multinomial Distribution

• Main Authors: Lee, Chung-Han, 李宗翰
• Other Authors: Wang, Hsiu-Ying
• Format: Others
• Language: en_US
• Published: 2019
• Online Access: http://ndltd.ncl.edu.tw/handle/m84c6s

博士 === 國立交通大學 === 統計學研究所 === 107 === In this dissertation, we focus on two topics. The first topic is the interval estimation for the probability of the multinomial distribution. Statistical intervals are widely-used in many study fields. Simultaneous confidence intervals for the multinomial proportions have been proposed in many applications, including quality control and clinical data analysis. Because of these wide applications, the multinomial distribution plays an important role in many areas of science. Thus, we propose a method for constructing the confidence interval for the probability of the multinomial distribution. A simulation study is conducted to compare the performance of different intervals. The second topic is to derive the parameter estimators after the missing data imputation under the misspecified model and determine the sample size of the complete data. We consider the case that the misspecified model is underfitting. Finally, we apply the proposed methodology to analyze a stroke data. The time interval called the pre-hospital delay is important for thrombolytic therapy. Therefore, our study aimed at exploring the association of prehospital delay and arrival way, stroke severity, initial symptom and sign, and stroke risk factors.