Multiplication Models of Quantitative Sensitive Questions Survey in Two-stage Sampling and Its Application

摘要

Objective: To explore scientific sampling methods and corresponding formulas for multiplication models of quantitative sensitive questions survey with the sample selected by two-stage sampling. Methods: Randomized response technique (RRT) of multiplication models of quantitative sensitive questions survey and two-stage sampling were showed in this paper. Moreover, sampling theories, total probability formulas and properties of variance were used. Results: Formulas for the estimator of the population mean and its variance on randomized response model of multiplication models of quantitative sensitive questions in two-stage sampling were deduced. Our survey methods and formulas on the RRT model have a successful application for quantitative sensitive questions survey, what students of Soochow University cheated in exams. And the average frequency of cheating in exams was 1.3484 times. Conclusion: The methods and corresponding formulas on multiplication models of quantitative sensitive questions survey with the sample selected by two-stage sampling were feasible.