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

Abstract

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%.