Combining Proportions From Several Randomized Response Models
by S.E. Ahmed and S. M. Khan
Randomized response (RR) techniques are helpful for obtaining
data and protect respondent's privacy when studies are about sensitive
characteristics. A large sample test for homogeneity of the proportions is
developed. Simultaneous estimation of the proportions of RR models is
developed in multi-sample situation. Preliminary test and Stein-type
shrinkage estimators are proposed. The risk of the proposed estimators are
derived and compared with each other. It is demonstrated that Stein-type
estimators outperform the classical estimators. Moreover, it is shown
that none of the preliminary test and shrinkage estimators dominate each
other though they perform well relative to the classical estimators.
Randomized response model, asymptotic distributional quadratic
risk, local alternatives, preliminary test estimators and Stein-type
S. M. Khan,
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