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Model assisted survey sampling strategies with randomized response
Institution:1. Infection Prevention & Control, Environmental Services, & Microbiology Laboratory, St. Joseph Mercy Oakland, Pontiac, MI;2. Xenex Disinfection Services, San Antonio, TX;3. Department of Infection Prevention Management, Integrated Clinical Services, Trinity Health, Livonia, MI;1. School of Sciences, Xi’an University of Technology, Xi’an 710048, China;2. Department of Electrical and Computer Engineering, New York University, Abu Dhabi 129188, UAE
Abstract:For estimating survey population totals with direct responses, use of QR-predictors motivated by postulated linear regression models and their asymptotic design-based analysis is rapidly becoming common. Their extension with randomized responses, to cover sensitive issues, is illustrated providing asymptotically optimal predictors along with variance estimators. Exact design unbiasedness requirement is replaced by asymptotic design unbiasedness restriction.
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