Use of multivariate distance measures for high-dimensional data in tests for difference, superiority, equivalence and non-inferiority

Abstract

Tests based on pairwise distance measures for multivariate sample vectors are common in ecological studies but are usually restricted to two-sided tests for differences. In this paper, we investigate extensions to tests for superiority, equivalence and non-inferiority.

Keywords: equivalence test; multivariate pairwise distance measure; non-inferiority test; superiority test.