In this article, we adjust the Kuk randomized response model for collecting information on a sensitive characteristic for increased protection and efficiency by making use of forced ''yes'' and forced ''no'' responses. We first describe Kuk's model and then the proposed adjustment to Kuk's model. Next, by means of a simulation study, we compare the efficiency of the adjusted Kuk model relative to the pioneer Kuk model while maintaining at least equal protection of respondents.

In this paper, a new randomized response model is proposed, which is shown to have a Cramer–Rao lower bound of variance that is lower than the Cramer–Rao lower bound of variance suggested by Singh and Sedory at equal protection or greater protection of respondents. A new measure of protection of respondents in the setup of the efficient use of two decks of cards, because of Odumade and Singh, is also suggested. The developed Cramer–Rao lower bounds of variances are compared under different situations through exact numerical illustrations. Survey data to estimate the proportion of students who have sometimes driven a vehicle after drinking alcohol and feeling over the legal limit are collected by using the proposed randomization device and then analyzed. The proposed randomized response technique is also compared with a black box technique within the same survey. A method to determine minimum sample size in randomized response sampling based on a small pilot survey is also given.

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Warner (1965) proposed an interviewing technique, called randomized response, designed to protect an interviewee's privacy and to reduce a major source of bias (evasive answers or refusing to respond) when estimating the prevalence of sensitive characteristics by means of surveys of human populations. The objective of this paper is to introduce a new method in the field of randomized response sampling that could be used for tracking the addictions of people to various substances. Sky News (2013), United Kingdom, suggests that students who use the smart drug 'modafinil' are potentially putting their health at risk. A few studies of similar addictions, based on handson experience with the newly proposed technique, are discussed.

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