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Analyzing Hybrid Randomized Response Data with a Binomial Selection Procedure
Authors:Feiyi Jia  Gary C McDonald
Institution:1. Department of Mathematics and Statistics , Oakland University , Rochester Hills, Michigan, USA fjia@oakland.edu;3. Department of Mathematics and Statistics , Oakland University , Rochester Hills, Michigan, USA
Abstract:The operating characteristics (OCs) of an indifference-zone ranking and selection procedure are derived for randomized response binomial data. The OCs include tables and figures to facilitate tradeoffs between sample size and a stated probability of a correct selection, i.e., correctly identifying the binomial population (out of k ≥ 2) characterized by the largest probability of success. Measures of efficiency are provided to assist the analyst in selection of an appropriate randomized response design for the collection of the data. A hybrid randomized response model, which includes the Warner model and the Greenberg et al. model, is introduced to facilitate comparisons among a wider range of statistical designs than previously available. An example comparing failure rates of contraceptive methods is used to illustrate the use of these new results.
Keywords:Contaminated data  Indifference-zone selection procedure  Operating characteristics  Probability of a correct selection  Sample size determination
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