Penalized power-divergence test statistics for testing linear-by-linear association

ALIN A.

JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, vol.82, no.2, pp.227-239, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 82 Issue: 2
  • Publication Date: 2012
  • Doi Number: 10.1080/00949655.2011.565418
  • Journal Name: JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.227-239
  • Keywords: contingency table, empty cells, ordinal categorical variable, linear-by-linear association, log-linear model, penalization, power-divergence test statistics, CONTINGENCY-TABLES, LOGLINEAR MODELS
  • Dokuz Eylül University Affiliated: Yes

Abstract

Two different families of penalized power-divergence test statistics have been defined to find alternatives to the likelihood ratio and the Pearson chi-squared test statistics for testing linear-by-linear association in two-way contingency tables with empty cell(s). The exact size and power properties of these test statistics and the ordinary power-divergence test statistics have been studied based on an extensive designed simulation study. Different penalized test statistics have been proposed depending on their exact size and power performances.