Testing Supremacy or Inferiority of Multinomial Cell Probabilities with Application to Biting Preferences of Loggerhead Marine Turtles

Abstract

We propose exact tests for uniform superiority or uniform inferiority of a multinomial cell probability. We extend the approach to testing supremacy or inferiority in multivariate settings. We also show how to perform superiority or inferiority tests in presence of covariates, and discuss the different interpretations of the proposed tests. The tests are illustrated on an original data set on biting behavior of loggerhead marine turtles.

Keywords:

• Exact test
• Inferiority
• Intersection-union test
• Logit
• Mid-P value
• Multinomial
• Permutation
• Supremacy
• Union-intersection test

Mathematics Subject Classification:

• Primary 62F03
• Secondary 62Q05

Acknowledgments

The author is grateful to the Acquiring Editor and two anonymous referees for many constructive comments.