AN ALTERNATIVE ESTIMATOR IN STRATIFIED RR STRATEGIES

  • Housila P. Singh School of Studies in Statistics, Vikram University, Ujjain - 456010 - India.
  • Tanveer A. Tarray School of Studies in Statistics, Vikram University, Ujjain - 456010 - India.
Keywords: Randomized Response Technique, Stratified Random Sampling, Proportional Allocation, Optimum Allocation

Abstract

This paper addresses the problem of estimating the proportion S π of the population having some sensitive characteristics using stratified randomize response model based on Warner’s model. We have suggested a class of estimators for the population proportion S π using Searls (1965) technique. It is shown that under certain conditions the proposed class of estimators is more efficient than Hong et al. (1994) and Kim and Warde (2004) estimators. The optimum estimator in the class is investigated. It has been shown that the optimum estimator is more efficient than Hong et al. (1994) and Kim and Warde (2004) estimators. Since the optimum estimator involves the use of an unknown population parameter S π it has therefore little practical utility. Using an estimated value of the parameter S π in the optimum estimator, an alternative estimator has been investigated for use in practice.

 

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Published
2014-11-29
Section
Articles