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Log-Linear Randomized-Response Models Taking Self-Protective Response Behavior Into Account
Maarten J. L. F. Cruyff
Utrecht University, Netherlands, m.cruyff{at}uu.nl
Ardo van den Hout
MRC Biostatistic Unit, Cambridge, United Kingdom
Peter G. M. van der Heijden
Utrecht University, Netherlands
Ulf Böckenholt
McGill University, Montreal, Canada
Randomized response (RR) is an interview technique designed to eliminate response bias when sensitive questions are asked. In RR the answer depends partly on the true status of the respondent and partly on the outcome of a randomizing device. Although RR elicits more honest answers than direct questions do, it is susceptible to self-protective response behavior; that is, the respondent gives an evasive answer irrespective of the outcome of the randomizing device. The authors present a log-linear RR model that accounts for this kind of self-protection (SP). The main results of this SP model are estimates of (1) the probability of SP, (2) the log-linear parameters describing the associations between the sensitive characteristics, and (3) the prevalence of the sensitive characteristics that are corrected for SP. The model is illustrated with two examples from a Dutch survey measuring noncompliance with social welfare rules.
Key Words: randomized response log-linear model self-protective response behavior regulatory noncompliance
References
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Sociological Methods & Research, Vol. 36, No. 2,
266-282 (2007)
DOI: 10.1177/0049124107301944

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