Bayesian analysis of randomized response sum score variables

Joon Jin Song, Jong Min Kim

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


The randomized-response (RR) technique is an effective survey method when collecting sensitive information. In this technique, a probability mechanism using randomization devices is commonly involved in answering to sensitive questions. In order to evaluate the survey at the most accurate extend, self-protection (SP) is introduced to describe the responses by participants who give the evasive answer without taking the result of the randomization device into account. In this study, we propose a Bayesian approach to modeling RR sum score variables under SP assumption. RR data from a Dutch survey on non-compliance with social security regulation in 2004 is used to demonstrate the proposed models.

Original languageEnglish (US)
Pages (from-to)1875-1884
Number of pages10
JournalCommunications in Statistics - Theory and Methods
Issue number10
StatePublished - 2012

Bibliographical note

Funding Information:
Department of Social Affairs in Netherlands conducted a nationwide survey in 2004 to assess the non compliance of citizen with the Social Security Law. 870 participants who received the financial support from Unemployment Insurance Act (UIA) in this survey were involved in the survey. The benefit is eligible for unemployed citizen and provides about 70% of the last wages which the beneficiary received. The beneficiaries are required to report all additional income or relevant activities. In order to assess noncompliance with UIA regulations, the participants were asked the following questions.

Copyright 2012 Elsevier B.V., All rights reserved.


  • Bayesian inference
  • Confidentiality
  • Poisson regression model
  • Randomized response model
  • Zero-inflated poisson model


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