讲座题目：Testing Hypotheses with Contingency Tables Analysis

主讲人: 程尔观,中央研究院统计科学研究所

时 间: 2007.10.17, 2:00-3:00 pm

地 点: C305

摘 要: A recent study of log-likelihood identity in terms of mutual information yields useful applications in statistical inference. For testing association in a 2 x 2 table (Pearson, 1904; Fisher, 1934), it establishes power analysis using likelihood ratio (LR) test that can not be achieved by other existing methods. An extended identity provides power evaluations for testing inhomogeneous odds ratios of three-way tables. A problem of the celebrated CMH test (1954, 1959) is examined by the geometry of an information identity, and resolved by using an omnibus LR test together with a family of two-step LR tests. In contrast to the hierarchical log-linear models, information identities lead to developing a natural family of linear information models (LIM). Empirical studies of two-way and high-way contingency tables are used to illustrate the new statistical inference at college textbook level.