Wald type and phi-divergence based test-statistics for isotonic binomial proportions Articles uri icon

authors

  • MARTIN APAOLAZA, NIRIAN
  • Mata, Raquel
  • PARDO, LEANDRO

publication date

  • February 2016

start page

  • 31

end page

  • 49

volume

  • 120

International Standard Serial Number (ISSN)

  • 0378-4754

Electronic International Standard Serial Number (EISSN)

  • 1872-7166

abstract

  • In this paper new test statistics are introduced and studied for the important problem of testing hypothesis that involves inequality constraint on proportions when the sample comes from independent binomial random variables: Wald type and phi-divergence based test-statistics. As a particular case of phi-divergence based test-statistics, the classical likelihood ratio test is considered. An illustrative example is given and the performance of all of them for small and moderate sample sizes is analyzed in an extensive simulation study. (C) 2015 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.

keywords

  • wald-type statistics; phi-divergence statistics; inequality constrains; loglinear model; logistic regression; ordered-alternatives; contingency-tables; inference; models