On the Asymptotic Power of Tests for Independence in Contingency Tables from Stratified Samples

Tests for Independence in Two-Way Contingency Tables with Small Samples

Plain Answers to Several Questions about Association/Independence Structure in Complete/Incomplete Contingency Tables

In this paper, we develop some results based on Relational model (Klimova, et al. 2012) which permits a decomposition of logarithm of expected cell frequencies under a log-linear type model. These results imply plain answers to several questions in the context of analyzing of contingency tables. Moreover, determination of design matrix and hypothesis-induced matrix of the model will be discusse...

Testing Spatial Symmetry Using Contingency Tables Based on Nearest Neighbor Relations

We consider two types of spatial symmetry, namely, symmetry in the mixed or shared nearest neighbor (NN) structures. We use Pielou's and Dixon's symmetry tests which are defined using contingency tables based on the NN relationships between the data points. We generalize these tests to multiple classes and demonstrate that both the asymptotic and exact versions of Pielou's first type of symmetr...

Asymptotic distribution of inequality-restricted canonical correlation with application to tests for independence in ordered contingency tables

For two-way ordered categorical data, correspondence analysis and the RC association model (the row-column-effect association model) with order-restricted scores have been proposed mainly for descriptive purposes. In this paper, tests for independence in two-way ordered contingency tables based on these models are developed in a general framework of inequality-restricted canonical correlation a...

New Tests of Spatial Segregation Based on Nearest Neighbor Contingency Tables

The spatial clustering of points from two or more classes (or species) has important implications in many fields and may cause the spatial patterns of segregation and association, which are two major types of spatial interaction between the classes. The null patterns we consider are random labeling (RL) and complete spatial randomness (CSR) of points from two or more classes, which is called CS...