Test for symmetry in 2 × 2 contingency tables with nonignorable nonresponses

04/26/2023

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by   Kouji Tahata, et al.

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The McNemar test evaluates the hypothesis that two correlated proportion is common in 2 × 2 contingency tables with the same categories. This study discusses a test for symmetry in 2 × 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 × 2 contingency tables with nonignorable nonresponses.