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Cramer-Rao Lower Bound of Variance in Randomized Response Sampling

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  • Sarjinder Singh
  • Stephen A. Sedory

Abstract

In this note, the Cramer-Rao lower bound of variance by using the two decks of cards in randomized response sampling has been developed. The lower bound of variance has been compared with the recent estimator proposed by Odumade and Singh at equal protection of respondents. A real practical face-to-face interview data collected using two decks of cards has been analyzed and the results are discussed.

Suggested Citation

  • Sarjinder Singh & Stephen A. Sedory, 2011. "Cramer-Rao Lower Bound of Variance in Randomized Response Sampling," Sociological Methods & Research, , vol. 40(3), pages 536-546, August.
    • Handle: RePEc:sae:somere:v:40:y:2011:i:3:p:536-546
    DOI: 10.1177/0049124111416596
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    References listed on IDEAS

    as
    1. Christopher R. Gjestvang & Sarjinder Singh, 2006. "A new randomized response model," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 68(3), pages 523-530, June.
    2. Sarjinder Singh, 2010. "Proposed optimal orthogonal new additive model (POONAM)," Statistica, Department of Statistics, University of Bologna, vol. 70(1), pages 73-81.
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    Cited by:

    1. Cheon-Sig Lee & Shu-Ching Su & Katrina Mondragon & Veronica I. Salinas & Monique L. Zamora & Stephen Andrew Sedory & Sarjinder Singh, 2016. "Comparison of Cramer–Rao lower bounds of variances for at least equal protection of respondents," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 70(2), pages 80-99, May.
    2. Andreas Quatember, 2012. "An extension of the standardized randomized response technique to a multi-stage setup," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 21(4), pages 475-484, November.

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