A MODIFIED EFFICIENT RANDOMIZED RESPONSE MODEL

Housila P. Singh, Swarangi M. Gorey

Resumen


In this paper, the problem of estimating the population total of a sensitive quantitative variable has been considered. Odumade
and Singh (2009) have given a RR model to estimate the population total of sensitive quantitative variable. We have given a
modified RR model. It is noticed that the RR model envisaged by Odumade and Singh (2009) suffers with a difficulty that the
optimum value of the constant involved in their RR model depends on the value of unknown parameter of the study variable,
which lacks the utility of their RR model. To overcome such a difficulty Odumade and Singh (2009) have also suggested another
estimator of the population total which depends on two RR models based on two independent random samples s1 and s2
from the population  using the sampling design   p s1 and   p s2 respectively; and also on a relation between the two
constants involved in the two RR models. We should add here that drawing the two independent samples from a population
constructing two RR models resultantly obtaining an estimator for a population total Y increase the cost of the survey. Keeping
this in view we have suggested a RR model and developed an estimator for population total based on a single sample. The
proposed RR model is free from the difficulty involved in Odumade and Singh (2009) model. We have shown theoretically that
the proposed randomized response model is more efficient than Bar-Lev et al (2004) and Odumade and Singh (2009) RR
models. This fact has also been supported through numerical illustration.
KEYWORDS: Randomized response model; Unequal probability sampling scheme; Simple random sampling without
replacement scheme;Simple random sampling with replacement.
MSC: 62D05.

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