RANDOMIZED ESTIMATION A PROPORTION USING RANKED SET SAMPLING AND WARNER’S PROCEDURE

Agustin Santiago, Jose M. Sautto, Carlos N. Bouza

Resumen


This paper is devoted to the analysis of the estimation of the proportion of a sensitive variable. The use of a randomized
response (rr) procedure gives confidence to the interviewed that his privacy is protected. We consider that a simple random
sampling with replacement design is used for selecting a sample. The behavior of the rr procedure, when ranked set sampling is
the design used, is developed under three different ranking criteria. The usual gain in accuracy associated with the use of ranked
set sampling is exhibited only by one of the designs. The behavior of the models is illustrated using data provided by a study of
samples of persons infected with AIDS.
KEYWORDS: Order statistics, ranked set sampling, randomized response
MSC: 62D05

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