Bayesian ranking responses in multiple-response questions

Hsiuying Wang*, Wei Heng Huang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Questionnaires are important surveying tools that are used in numerous studies. Analyses of multiple-response questions are not as well established in detail compared with single-response questions. Wang has proposed several methods for ranking responses in multiple-response questions under the frequentist set-up. However, prior information may exist for ranks of responses in numerous situations. Therefore, establishing a methodology that combines updated survey data and past information for ranking responses is an essential issue in questionnaire data analysis. This study develops Bayesian ranking methods based on several Bayesian multiple-testing procedures to rank responses by controlling the posterior expected false discovery rate. Moreover, a simulation is conducted to compare these approaches, and a real data example is presented to show the effectiveness of the methods proposed.

Original languageEnglish
Pages (from-to)191-208
Number of pages18
JournalJournal of the Royal Statistical Society. Series A: Statistics in Society
Volume177
Issue number1
DOIs
StatePublished - 1 Jan 2014

Keywords

  • Bayes estimator
  • Dirichlet prior
  • Multiple-response question
  • Single-response questions
  • Surveys

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