Statistical Methods of Two-Stage Sampling on Simmons Model for Sensitive Question Survey with and Its Application

Wei LI, Ge GAO, Zhilong HE


To explore scientific survey methods and corresponding formulas for sensitive question survey on two-stage sampling. We use Simmons model for dichotomous sensitive questions, two-stage sampling, total probability formulas and properties of variance to deduce corresponding formulas. Then  the formulas and its variance on Simmons model for dichotomous sensitive questions on two-stage sampling were designed and applied for the survey of the using rate of condoms among the Men who have sex with men in Beijing, the rate is 78.65% and its 95% confidence limit is 71.10% to 82.60%.


Sensitive question; Simmons model; Two-stage sampling; MSM

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