Analyzing continuous randomized response data with an indifference-zone selection procedure

ABSTRACT

A review of the randomized response model introduced by Warner (1965) is given, then a randomized response model applicable to continuous data that considers a mixture of two normal distributions is considered. The target here is not to estimate any parameter, but rather to select the population with the best parameter value. This article provides a study on how to choose the best population between k distinct populations using an indifference-zone procedure. Also, this article includes tables for the required sample size needed in order to have a probability of correct selection higher than some specified value in the preference zone for the randomized response model considered.

KEYWORDS:

• Confidence interval
• Indifference-zone procedure
• Mixture distribution
• Normal distribution
• Randomized response
• Ranking and selection
• Selection procedure

MATHEMATICS SUBJECT CLASSIFICATION:

• Primary: 62F07
• Secondary: 62D05