Ranking responses in multiple-choice questions

In many studies, the questionnaire is a common tool for surveying. There are two kinds of questions designed: single-choice questions and multiple-choice questions. For single-choice questions, the methodology for analyzing it has been provided in the literature. However, the analyses of multiple-choice questions are not established as in depth as those for single-choice questions. Recently, there has been a lot of literature published about testing the marginal independence between two questions involving at least one multiple-choice question. However, another important problem regarding this topic is to rank the responses in a multiple-choice question. The issue is whether there are significant differences in the popularity of particular responses within the same question. In this paper, methodologies for ranking responses are proposed.