Bootstrap tests for independence in two-way ordinal contingency tables

Partial Association Components in Multi-way Contingency Tables and Their Statistiical Analysis

In analyses of contingency tables made up of categorical variables, the study of relationship between the variables is usually the major objective. So far, many association measures and association models have been used to measure  the association structure present in the table. Although the association measures merely determine the degree of strength of association between the study varia...

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

Some Exact Conditional Tests of Independence For, R × C Cross-classification Tables

Exact conditional tests of independence in cross-classification tables are formulated based on the x 2 statistic and statistics with stronger operational interpretations, such as some nominal and ordinal measures of association. Guidelines for the table dimensions and sample sizes for which the tests are economically implemented on a computer are given. Some selected sample sizes and marginal d...

A Test of Quasi-independence in Ordinal Triangular Contingency Tables

A new procedure for testing quasi-independence in an ordinal triangular contingency table is proposed as a generalization of Pearson's chi square test. The test is asymptotically equivalent in terms of power to the corresponding restricted likelihood ratio test for contiguous alternatives. Numerical results are also included in this study.

Analysis of singly ordered two-way contingency tables

Pearson’s statistic is investigated for nominal-ordinal two-way contingency tables in which we wish to test for identical rows. The statistic is expressed as a sum, the first summand of which is a statistic given by Yates (1948), and examines location effects for the nominal category. The second and subsequent summands reflect the corresponding moments: for example, dispersion, skewness, kurtos...