Analysis of odds ratios in 2 × n ordinal contingency tables

Bayesian inference about odds ratio structure in ordinal contingency tables

When the goal of a study is to compare two groups on an ordinal categorical scale, a large number of inferential methods are available. Most methods are designed to detect a location effect, such as by focusing a single-degree-of-freedom test on an effect parameter. Often, rather than merely summarizing by a P -value to describe the evidence against a null hypothesis, it is of interest to consi...

Simple Correspondence Analysis of Nominal-Ordinal Contingency Tables

The correspondence analysis of a two-way contingency table is now accepted as a very versatile tool for helping users to understand the structure of the association in their data. In cases where the variables consist of ordered categories, there are a number of approaches that can be employed and these generally involve an adaptation of singular value decomposition. Over the last few years, an ...

Generalized Odds Ratios for Ordinal Data

The Geometry of Statistical Models for Two-way Contingency Tables with Fixed Odds Ratios

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.

Analysis of Contingency Tables Bayesian Analysis of Contingency Tables

The display of the data by means of contingency tables is used in different approaches to statistical inference, for example, to broach the test of homogeneity of independent multinomial distributions. We develop a Bayesian procedure to test simple null hypotheses versus bilateral alternatives in contingency tables. Given independent samples of two binomial distributions and taking a mixed prio...