Hypothesis testing in multivariate normal models with block circular covariance structures

Yuli Liang, Carlos A. Coelho, Tatjana von Rosen

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

In this article, we address the problem of simultaneous testing hypothesis about mean and covariance matrix for repeated measures data when both the mean vector and covariance matrix are patterned. In particular, tests about the mean vector under block circular and doubly exchangeable covariance structures have been considered. The null distributions are established for the corresponding likelihood ratio test statistics, and expressions for the exact or near-exact probability density and cumulative distribution functions are obtained. The application of the results is illustrated by both a simulation study and a real-life data example.

Original languageEnglish
Pages (from-to)557-576
Number of pages20
JournalBiometrical Journal
Volume64
Issue number3
DOIs
Publication statusPublished - Mar 2022

Keywords

  • beta random variables
  • canonical reduction
  • exchangeability
  • likelihood ratio test
  • near-exact distributions
  • Toeplitz matrix

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