zbMATH — the first resource for mathematics

Randomized response: a survey technique for eliminating evasive answer bias. (English) Zbl 1298.62024
Summary: For various reasons, individuals in a sample survey may prefer not to confide to the interviewer the correct answers to certain questions. In such cases the individuals may elect not to reply at all or to reply with incorrect answers. The resulting evasive answer bias is ordinarily difficult to assess. In this paper it is argued that such bias is potentially removable through allowing the interviewee to maintain privacy through the device of randomizing his response. A randomized response method for estimating a population proportion is presented as an example. Unbiased maximum likelihood estimates are obtained and their mean square errors are compared with the mean square errors of conventional estimates under various assumptions about the underlying population.

62D05 Sampling theory, sample surveys
Full Text: DOI
[1] Cochran W. G., Sampling Techniques, Second Edition (1963) · Zbl 0051.10707
[2] Deming W. E., Some Theory of Sampling (1950) · Zbl 0041.25705
[3] Hansen M. H., Sample Survey Methods and Theory, Volume I (1953)
[4] Hansen M. H., Sample Survey Methods and Theory, Volume II (1953)
[5] Stephan F. F., Sampling Opinions (1963)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.