Affiliations: Department of Statistics, Faculty of Economics and Political Science, Cairo University, Giza, Egypt
Correspondence:
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Corresponding author: Sally Farid Abdelghafar Abdelfatah, Department of Statistics, Faculty of Economics and Political Science, Cairo University, Giza, Egypt. Tel.: +2 01223647461; E-mail:sally_abdelfatah@feps.edu.eg
Abstract: Randomized response technique is an effective research method that is used
to estimate the proportion of a population that possesses a sensitive
characteristic, such as tax evasion, abortion, or drug abuse. In this paper,
two recently developed randomized response models using two decks of cards
are extended to the case of stratified random sampling. Under proportional
allocation or optimal allocation for fixed sample sizes, it is shown that
the proposed stratified estimators are always more efficient than their
counterparts in simple random sampling. Comparing the two proposed models,
it is found that one of the models can be adjusted to be more efficient than
the other, and that this model can increase the respondents' cooperation.
Hence this model is referred to as the improved model. For unknown strata
sizes, the double sampling method for stratification is applied.
