The McNemar test evaluates the hypothesis that two correlated proportion is common in $2 \times 2$ contingency tables with the same categories. This study discusses a test for symmetry in $2 \times 2$ contingency tables with nonignorable nonresponses. The proposed method is based on Takai and Kano (2008), which discusses a test for independence because a dependency assumption between the two observed outcomes is required to obtain an identification. Here, we focus on three models and propose a test for symmetry in $2 \times 2$ contingency tables with nonignorable nonresponses.

翻译：McNemar 检验用于评估在具有相同类别的 $2 \times 2$ 列联表中两个相关比例是否相等。本研究讨论了在存在不可忽略无响应的情况下对 $2 \times 2$ 列联表进行对称性检验的方法。所提出的方法基于 Takai 和 Kano (2008) 的研究，该研究讨论了独立性检验，因为需要假设两个观测结果之间存在依赖关系才能获得可识别性。在此，我们聚焦于三种模型，并提出了一种在存在不可忽略无响应的 $2 \times 2$ 列联表中进行对称性检验的方法。