The Geometry of Statistical Models for Two-Way Contingency Tables with Fixed Odds Ratios
Enrico Carlini, Fabio Rapallo
Abstract
We study the geometric structure of the statistical models for two-by-two contingency tables. One or two odds ratios are fixed and the corresponding models are shown to be a portion of a ruled quadratic surface or a segment. Some pointers to the general case of two-way contingency tables are also given and an application to case-control studies is presented.
Create a lesson
Related papers
On diagonal sections of Markov products of copulas
Roman Drnovšek, Damjana Kokol Bukovšek, Nik Stopar
Beyond Discrepancy: Oracle Drift in Nonstationary Weighted Risk Minimization
Tobias Brock, Thomas Nagler
Estimating ratio of variance components in a balanced one-way random effect model
Somnath Mondal, Lakshmi Kanta Patra
Brown's loss function and estimation of the scale parameter and the entropy in scale mixture models with unknown location
Stavros Kourouklis
Finite-Sample Bounds for Fréchet Means of Dependent Data in Metric Spaces with Curvature Bounded Above
Zoraida F. Rico, Christof Schötz
On Eigenvector Statistics of Large-Dimensional Sample Covariance Matrices with Applications
Weiming Li, Zeng Li, Qinwen Wang