<abstract xmlns="http://www.w3.org/1999/xhtml"><p>A log-linear analysis is a method providing a comprehensive scheme to describe the association for categorical variables in a contingency table. The log-linear model specifies how the expected counts depend on the levels of the categorical variables for these cells and provide detailed information on the associations. The aim of this paper is to present theoretical, as well as empirical, aspects of ordinal log-linear models used for contingency tables with ordinal variables. We introduce log-linear models for ordinal variables: linear-by-linear association, row effect model, column effect model and RC Goodman’s model. Algorithm, advantages and disadvantages will be discussed in the paper. An empirical analysis will be conducted with the use of R.</p></abstract>

A log-linear analysis is a method providing a comprehensive scheme to describe the association for categorical variables in a contingency table. The log-linear model specifies how the expected counts depend on the levels of the categorical variables for these cells and provide detailed information on the associations. The aim of this paper is to present theoretical, as well as empirical, aspects of ordinal log-linear models used for contingency tables with ordinal variables. We introduce log-linear models for ordinal variables: linear-by-linear association, row effect model, column effect model and RC Goodman’s model. Algorithm, advantages and disadvantages will be discussed in the paper. An empirical analysis will be conducted with the use of R.

Ordinal Log-Linear Models for Contingency Tables

University of Economics in Katowice, Faculty of Finance and Insurance, Department of Economic and Financial Analysis, 1 Maja 50, 40-287 Katowice, Poland,

Folia Oeconomica Stetinensia

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Ordinal Log-Linear Models for Contingency Tables"}

A log-linear analysis is a method providing a comprehensive scheme to describe the association for categorical variables in a contingency table. The log-linear...

Ordinal Log-Linear Models for Contingency Tables

Data publikacji: 30 gru 2016

Zakres stron: 264 - 273

Otrzymano: 23 paź 2015

Przyjęty: 27 cze 2016

DOI: https://doi.org/10.1515/foli-2016-0017

Słowa kluczowe
association models, ordinal variables, contingency table, log-linear models

© 2016 University of Szczecin

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Ordinal Log-Linear Models for Contingency Tables

Data publikacji: 30 gru 2016

Zakres stron: 264 - 273

Otrzymano: 23 paź 2015

Przyjęty: 27 cze 2016

DOI: https://doi.org/10.1515/foli-2016-0017

Słowa kluczoweassociation models, ordinal variables, contingency table, log-linear models

© 2016 University of Szczecin

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Słowa kluczowe
association models, ordinal variables, contingency table, log-linear models