Ranking responses for questionnaire

• Main Authors: Chang, Kai-Wei, 張楷威
• Other Authors: Wang, Hsiuying
• Format: Others
• Language: en_US
• Published: 2013
• Online Access: http://ndltd.ncl.edu.tw/handle/51826813064473321993

碩士 === 國立交通大學 === 統計學研究所 === 101 === Questionnaire is a common tool for surveying in many areas. The design of questionnaire is according to the goal that researchers are interested in. A multiple response question is a commonly used question in a questionnaire. Recently, many studies proposed models and approaches for analyzing data of a multiple response question. Wang (2008) proposed methodologies for testing the equality of selected probabilities for two responses. Another question is to require a respondent to select a score for each item. In this study, we propose to combine the principle of ranking responses and scores to rank the responses. However, not all of responses are shown to be important because of their hidden factors. In this study, we propose using chi-squared test on contingency table and Euclidean distance to determine the important factors and remove unimportant factors. According to the simulation study, we show that our method is a feasible method in finding the important factors.