论文信息 - Respondent Jeopardy and Optimal Designs in Randomized Response Models

Respondent Jeopardy and Optimal Designs in Randomized Response Models

Abstract Randomized response methods allow different kinds and degrees of privacy depending upon models and parameters. A theoretical approach to efficiency is suggested based on minimizing variance for given privacy requirements. Privacy requirements are defined in units of jeopardy from different points of view and indexed by measures suggested by information theory. Variances of competing models are compared only when the procedures meet the privacy requirements in terms of not exceeding the maximal jeopardizing information allowable for the particular application. The approach is illustrated through developing minimum variance under given jeopardizing information restrictions for a general dichotomous-population-dichotomous-response model.

S. Warner | Frederick W. Leysieffer

[1] L. J. Savage,et al. Probability and the weighing of evidence , 1951 .

[2] Solomon Kullback,et al. Information Theory and Statistics , 1960 .

[3] S L Warner,et al. Randomized response: a survey technique for eliminating evasive answer bias. , 1965, Journal of the American Statistical Association.

[4] D. Horvitz,et al. A Multi-Proportions Randomized Response Model , 1967 .

[5] W. R. Simmons,et al. The Unrelated Question Randomized Response Model: Theoretical Framework , 1969 .

[6] S. Warner. The Linear Randomized Response Model , 1971 .

[7] J. J. A. Moors,et al. Optimization of the Unrelated Question Randomized Response Model , 1971 .

[8] Robert F. Boruch,et al. Relations among statistical methods for assuring confidentiality of social research data , 1972 .

[9] Jan Lanke,et al. On the Choice of the Unrelated Question in Simmons' Version of Randomized Response , 1975 .

[10] Richard H. Shachtman,et al. On the Relative Efficiency of Randomized Response Models , 1975 .