ABSTRACT Pretest-posttest studies are a commonly used design by social scientists, medical and health researchers to examine the effect of a treatment or an intervention. We propose an empirical likelihood based Mann-Whitney test on the equality of the response distribution functions of the treatment and control arms for non-randomised pretest-posttest studies with missing responses. The proposed test is multiply robust in the sense that multiple working models can be postulated for the propensity score of treatment assignment, the missingness probability and the outcome regression, and the validity of the test only requires certain combinations of the working models to be correctly specified. Performances of the proposed test are examined through an application to the dataset from AIDS Clinical Trials Group Protocol 175 and simulation studies.

中文翻译：

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用于具有缺失数据的非随机前测-后测研究的多重稳健 Mann-Whitney 检验

摘要 前测-后测研究是社会科学家、医学和健康研究人员常用的一种设计，用于检查治疗或干预的效果。我们提出了基于经验似然的 Mann-Whitney 检验，该检验针对具有缺失响应的非随机前测后测研究的治疗组和对照组的响应分布函数的相等性。建议的测试是多重稳健的，因为可以为治疗分配的倾向评分、缺失概率和结果回归假设多个工作模型，并且测试的有效性只需要正确指定工作模型的某些组合. 通过对来自 AIDS Clinical Trials Group Protocol 175 和模拟研究的数据集的应用来检查拟议测试的性能。