Summary: To eliminate a major source of bias in surveys of human populations resulting from respondents refusal to cooparate in cases where a question of sensitive nature is involved, the idea of “randomized response” was introduced by S. L. Warner [J. Am. Stat. Assoc. 60, 63–69 (1965; Zbl 1298.62024)]. In this paper, an alternative randomized response technique is presented which improves upon the pioneering work of Warner [loc. cit.]. The procedure includes Warner’s method as a special case for a specific choice of the parameters. In addition, a generalization of the proposed method is presented.