Open AccessGeneral Randomized Response Techniques Using Polya's Urn Process as a Randomization Device
Author(s) -
Mashail M. Al Sobhi,
Zawar Hussain,
Bander A. Alzahrani
Publication year - 2014
Publication title -
plos one
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.99
H-Index - 332
ISSN - 1932-6203
DOI - 10.1371/journal.pone.0115612
Subject(s) - randomized response , randomized controlled trial , estimator , statistics , computer science , randomized experiment , randomization , scale (ratio) , type (biology) , process (computing) , mathematics , algorithm , medicine , biology , cartography , geography , ecology , surgery , operating system
In this paper, interesting improvements in [1] and [2] randomized response techniques have been proposed. The proposed randomized response technique applies Polya's urn process (see [3] ) 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.