Randomized Response Group Testing Model

In this article, we propose randomized response-group testing (RR-GT) models. Randomized response technique and the group testing method have long been recognized as sampling schemes that can provide substantial benefits. In order to obtain both confidentiality and economic benefits from a sensitive issue survey sampling, we incorporate the group testing method into the most popular two randomized response models, which are Warner’s RR model and unrelated question RR model. Empirical comparisons are provided and discussed.

[1]  Munir Mahmood,et al.  Estimation of mean and variance of stigmatized quantitative variable using distinct units in randomized response sampling , 2001 .

[2]  William F. Rosenberger,et al.  Efficient estimation of the prevalence of multiple rare traits , 2000 .

[3]  W. Swallow,et al.  Using group testing to estimate a proportion, and to test the binomial model. , 1990, Biometrics.

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

[5]  Jong-Min Kim,et al.  A stratified Warner's randomized response model , 2004 .

[6]  Arijit Chaudhuri,et al.  Randomized Response and Indirect Questioning Techniques in Surveys , 2010 .

[7]  Sarjinder Singhl A Modified Quantitative Randomized Response Model , 2002 .

[8]  R. Dorfman The Detection of Defective Members of Large Populations , 1943 .

[9]  W. Warde,et al.  Some New Results on the Multinomial Randomized Response Model , 2005 .

[10]  Ulf Böckenholt,et al.  Item Randomized-Response Models for Measuring Noncompliance: Risk-Return Perceptions, Social Influences, and Self-Protective Responses , 2007 .

[11]  Robert A. Desharnais,et al.  Honest Answers to Embarrassing Questions: Detecting Cheating in the Randomized Response Model , 1998 .

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

[13]  Giancarlo Diana,et al.  Selected Scrambled Response Models , 2010 .

[14]  Tasos C. Christofides,et al.  A generalized randomized response technique , 2003 .

[15]  Jodie Houston,et al.  A Survey of Tax Evasion Using the Randomized Response Technique , 2001, Contemporary Issues in Taxation Research.

[16]  R. Singh,et al.  Approximately Optimum Stratification on the Auxiliary Variable , 1971 .

[17]  Jong-Min Kim,et al.  Extensions of Mangat's randomized-response model , 2006 .