Exploring interactions in high-dimensional tables: a bootstrap alternative to log-linear models
高维列联表中的交互作用:对数线性模型的自助法替代方法
Based on a revised Lancaster-type representation of the additive interactions associated with a probability measure, a new approach for the analysis of high-dimensional contingency tables is proposed. The approach is essentially model-free because the additive interaction tensor is merely a convenient reparameterization of the given table. Single interaction terms are investigated using the bootstrap method whose first-order asymptotic validity is immediate. The global…