Improved randomized response in additive scrambling models

ABSTRACT

Randomized response models deal with stigmatizing variables appearing in health surveys. Additive and subtractive scrambling in split sample and double response yield unbiased mean and sensitivity estimators of high precision. The split sample method is protective of privacy. The double response method is as protective only conditionally. To achieve the maximum efficiency, the scrambling variables must be similar to each other and the probability of obtaining a true response must be as large as possible. The randomized response procedures yield more efficient estimates of the average total number of classes missed by university students.

KEYWORDS:

• additive and subtractive scrambling
• randomized response model
• sensitive survey
• split sample and unbiased estimation

Acknowledgments

The study was approved by the Institute of Scientific Research and Revival of Islamic Heritage at Umm Al-Qura University under the Project ID # 43305030. The authors are grateful to the two referees.

Funding

The second author acknowledges the financial support by the Institute of Scientific Research and Revival of Islamic Heritage at Umm Al-Qura University.

Additional information

Funding

The second author acknowledges the financial support by the Institute of Scientific Research and Revival of Islamic Heritage at Umm Al-Qura University.