Randomized Response Technique was first introduced and popularized by Warner in 1965. Since then, survey sampling theoreticians and practitioners have contributed significantly in this area of survey methodological research. The idea is to be able to elicit a "truthful" response on sensitive feature(s) from the sampled respondents (of a finite labeled population of respondents), so that eventually the population mean of the sensitive feature can be unbiasedly estimated. Toward this, a novel technique was introduced by Raghavarao and Federer (1979) and it was termed "Block Total Response" (BTR) technique. We undertake various meaningful versions/generalizations of the BTR technique, after a brief review of the literature in this direction. In the process, we also introduce empirical Bayes estimators.