A new randomized response device for sensitive characteristics: an application of the negative hypergeometic distribution

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• 作者：Sarjinder Singh (1)
  Stephen A. Sedory (1)
  
• 关键词：Sensitive variables ; Estimation of proportion ; Relative efficiency
• 刊名：METRON
• 出版年：2013
• 出版时间：June 2013
• 年：2013
• 卷：71
• 期：1
• 页码：3-8
• 全文大小：119KB
• 参考文献：1. Kuk, A.Y.C.: Asking sensitive questions indirectly. Biomerika 77(2), 436-38 (1990) CrossRef
  2. Lee C.-S., Sedory, S.A., Singh, S.: Simulated minimum sample sizes for various randomized response models. Commun. Stat. Simul. Comput. 42, 771-89 (2013)
  3. Mangat, N.S.: An improved randomized response strategy. J. R. Statist. Soc. B 56, 93-5 (1994)
  4. Singh, S., Sedory, S.A.: A true simulation study of three estimators at equal protection of respondents in randomized response sampling. Statist. Neersl. 66(4), 442-51 (2012)
  5. Warner, S.L.: Randomized response: a survey technique for eliminating evasive answer bias. J. Am. Stat. Assoc. 60, 63-9 (1965) CrossRef
  
• 作者单位：Sarjinder Singh (1)
  Stephen A. Sedory (1)
  
  1. Department of Mathematics, Texas A&M University-Kingsville, Kingsville, TX, 78363, USA
  

文摘

In this paper, a new randomized response device is proposed based on the use of negative hypergeometric distribution while estimating the proportion of persons possessing a sensitive characteristic in a population. Situations where the proposed randomization device can perform better than the Warner (J Am Stat Assoc 60, 63-9, 1965), the Kuk (Biomerika 77(2), 436-38, 1990) and the Mangat (J R Statist Soc B 56, 93-5, 1994) estimators are simulated and discussed.