Clustered data arise commonly in practice and it is often of interest to estimate the mean response parameters as well as the association parameters. However, most research has been directed to inference about the mean response parameters with the association parameters relegated to a nuisance role. There is little work concerning both the marginal and association structures, especially in the semiparametric framework. In this paper, our interest centers on inference on the association parameters in addition to the mean parameters. We develop semiparametric methods for both complete and incomplete clustered binary data and establish the theoretical results. The proposed methodology is illustrated through numerical studies.

中文翻译：

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聚类二元数据的半参数边际和关联回归方法。

聚类数据在实践中很常见，估计平均响应参数和关联参数通常很有趣。然而，大多数研究都针对平均响应参数的推断，而关联参数则被归为有害角色。关于边缘和关联结构的工作很少，特别是在半参数框架中。在本文中，我们的兴趣集中在对平均参数之外的关联参数的推断上。我们为完整和不完整的聚类二进制数据开发了半参数方法并建立了理论结果。通过数值研究说明了所提出的方法。