Stratified cluster sampling under multiplicative model for quantitative sensitive question survey/Muestreo por conglomerados estratificados bajo un modelo multiplicativo para preguntas sensibles en encuestas cuantitativas/Amostragem estratificada por conglomerados sob um modelo multiplicativo para perguntas sensiveis em pesquisas quantitativas

Advanced sampling methods and corresponding formulas are seldom applied to quantitative sensitive question survey. This paper develops a series of formulas for parameter estimation in cluster sampling and stratified cluster sampling under multiplicative model on the basis of classic sampling theories and total probability formulas. The performance of the sampling methods and formulas in survey of cheating on exams on Dushu Lake Campus of Soochow University, China, are provided. The reliability of the survey methods and formulas for quantitative sensitive question survey is found to be high.