General Randomized Response Techniques Using Polya's Urn Process as a Randomization Device

<div><p>In this paper, interesting improvements in <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0115612#pone.0115612-Kuk1" target="_blank">[1]</a> and <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0115612#pone.0115612-Singh1" target="_blank">[2]</a> randomized response techniques have been proposed. The proposed randomized response technique applies Polya's urn process (see <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0115612#pone.0115612-Mahmoud1" target="_blank">[3]</a>) to obtain data from respondents. One of the suggested technique requires reporting the number of draws to observe a fixed number of cards of certain type. On the contrary, the number of cards of a certain type is to be reported in case of second proposed randomized response model. Based on the information collected through the suggested techniques, two different unbiased estimators of proportion of a sensitive attribute have been suggested. A detailed comparative simulation study has also been done. The results are also supported by means of a small scale survey.</p>