A stratified Warner's randomized response model

Jong Min Kim, William D. Warde

Research output: Contribution to journalArticlepeer-review

106 Scopus citations


This paper proposes a new stratified randomized response model based on Warner's (J. Amer. Statist. Assoc. 60 (1965) 63) model that has an optimal allocation and large gain in precision. It also presents a drawback of the Hong et al. (Korean J. Appl. Statist. 7 (1994) 141) model under their proportional sampling assumption. It is shown that the proposed model is more efficient than the Hong et al. (Korean J. Appl. Statist. 7 (1994) 141) stratified randomized response model. Additionally, it is shown that the estimator based on the proposed method is more efficient than the Warner (J. Amer. Statist. Assoc. 60 (1965) 63), the Mangat and Singh (Biometrika 77 (1990) 439) and the Mangat (J. Roy. Statist. SQC. Ser. B 56 (1) (1994) 93) estimators under the conditions presented in both the case of completely truthful reporting and that of not completely truthful reporting by the respondents.

Original languageEnglish (US)
Pages (from-to)155-165
Number of pages11
JournalJournal of Statistical Planning and Inference
Issue number1-2
StatePublished - Feb 15 2004


  • Dichotomous population
  • Estimation of proportion
  • Randomized response technique
  • Sensitive characteristics
  • Stratified random sampling


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