Isaac Scientific Publishing

Journal of Advanced Statistics

Estimation of a Proportion: Sub Sampling the Non Response Stratum

Download PDF (206.4 KB) PP. 25 - 31 Pub. Date: March 1, 2016

DOI: 10.22606/jas.2016.11003

Author(s)

  • Carlos. N. Bouza*
    Facultad de Matemática y Computación, Universidad de La Habana; Division of Engineering and Applied Science, California Institute of Technology, Pasadena, United States

Abstract

We consider the estimation of a proportion when there are non-responses. They may be motivated by the fact that a “yes”, as a response, identifies belonging to a sensitive group. We suggest taking a sample among the non-respondents and using a randomized response technique in the second interview. This approach motivates sampling models which are developed in this paper. The performance of the proposed model is evaluated using real world data.

Keywords

Randomized responses, non-respondent stratum, sub sampling

References

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[4] S. Singh, “Randomized response model”. Metrika, Vol. 56, No. 1, pp. 131-142, 2002.

[5] S. L.Warner, “Randomized response : a survey technique for eliminating evasive answer bias”, J. Amer. Stat. Assoc. Vol. 60, No. 1, pp63-69, 1965.

[6] C. N. Bouza, “A Review of Randomized Responses Procedures: the Qualitative Variable Case”, Investigación Operacional, Vol. 30, No. 3, pp 240-247, 2010.