Event Diary
CRiSM Seminar
Location: A1.01
Professor P Cheng, Academia Sinica, Taipei, Republic of China
Linear Information Models and Applications
Log-likelihood information identities and Venn diagrams for categorical data exhibit fundamental differences from those of continuous variables. This presentation will start with three-way contingency tables and the associated likelihood ratio tests. It will introduce linear information models that deviate from hierarchical log-linear models, beginning with three-way tables. A connection to latent class analysis with two-way tables and the geometry of the one-degree-freedom chi-square test and exact test for two-way independence is also investigated.
Linear Information Models and Applications
Log-likelihood information identities and Venn diagrams for categorical data exhibit fundamental differences from those of continuous variables. This presentation will start with three-way contingency tables and the associated likelihood ratio tests. It will introduce linear information models that deviate from hierarchical log-linear models, beginning with three-way tables. A connection to latent class analysis with two-way tables and the geometry of the one-degree-freedom chi-square test and exact test for two-way independence is also investigated.
Key Names: Pearson; Fisher; Neyman and Pearson; Kullback and Leibler; Cochran, Mantel, and Heanszel; Goodman.
Co-authors: John A. D. Aston, Jiun W. Liou, and Michelle Liou.