In survey sampling, problems often arise when respondents are asked sensitive questions or questions of highly personal nature. In such cases people often refuse to answer, or give false answers. In this paper we have suggested a randomised response technique for estimating the proportion of individuals in several unrelated (in some sense) ‘sensitive’ groups. The proposed model is observed to fare well in some realistic situations.

The randomized response technique is an effective survey method designed to elicit sensitive information while ensuring the privacy of the respondents. In this article, we present some new results on the randomization response model in situations wherein one or two response variables are assumed to follow a multinomial distribution. For a single sensitive question, we use the well-known Hopkins randomization device to derive estimates, both under the assumption of truthful and untruthful responses, and present a technique for making pairwise comparisons. When there are two sensitive questions of interest, we derive a Pearson product moment correlation estimator based on the multinomial model assumption. This estimator may be used to quantify the linear relationship between two variables when multinomial response data are observed according to a randomized-response protocol.

background or methods

On Estimation of Some Confidential Characters from Survey Data

Some New Results on the Multinomial Randomized Response Model

Randomized response techniques (RRT) are well-known as tools to procure trustworthy survey data on confidential issues. A review is attempted here of mostly published accounts on RRT covering qualitative and quantitative characters. Conflicting criteria of efficient estimation and protection of privacy are discussed. Infinite hypothetical and concrete finite population set-ups are treated separately.

On Estimation of Some Confidential Characters from Survey Data

Citations

Some New Results on the Multinomial Randomized Response Model

Randomized Response Techniques: A Review

Randomized response designs considering the probability of dishonest answers

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