PAPER TITLE :A COMPARATIVE STUDY OF SOME METHODS OF IMPROVING THE EFFICIENCY OF RANDOMIZED RESPONSE MODELS

FUTA JOURNAL OF RESEARCH IN SCIENCE | VOLUME 12 NUMBER 2 2016

Paper Details

  • Author(s) : F. B. ADEBOLA and O.ALO DAMILOLA
  • Abstract:

This paper compares different randomized response designs by their efficiency condition and also using the concept of Jeopardy Function. A population is divided into two sensitive groups,
with unknown proportion
, respectively. Considering a dichotomous response model where a typical response R is yes (say, y) or no (say, n). The conditional probabilities that a person R comes from individual of groups,
, are
, respectively. These probabilities are at the researcher’s disposal and are called Design probabilities. Taking into consideration these design probabilities, a natural measure was proposed and it was carried by
, respectively.
Considering the Percentage Relative Efficiency of Mangat et al. and Bhargava and Singh, it is found that the Bhargava and Singh model is better than Mangat et al.’s model when
and when
Mangat et al.’s model is better than Bhargava and Singh’s model.