Bayesian Ranking Responses in Multiple-Choice Questions

• Main Authors: Chang, Shao-Yuan, 張少源
• Other Authors: Wang, Hsiu-Ying
• Format: Others
• Language: en_US
• Published: 2010
• Online Access: http://ndltd.ncl.edu.tw/handle/48515435706011837525

碩士 === 國立交通大學 === 統計學研究所 === 97 === In many studies, the questionnaire is an important tool for surveying. In the literature, the analyses of multiple-choice questions are not established as in depth as those for single-choice question. Wang (2008a) proposed several methods for ranking the Responses in Multiple-Choice Questions under the usual frequentist setup.However in many situations, there may exist prior information for the ranks of the responses, therefore, establishing a methodology combining the update survey data and the past information for ranking the responses is an essential issue for the questionnaire data analysis. In this paper, we based on several Bayesian multiple testing procedures to develop the Bayesian ranking methods by controlling the posterior expected false discovery rate. In addition, a simulation study is conducted to make a comparison of these approaches and to derive the appropriate rejection region for the testing.