@article{99caa35fc1eb470b93927aa38b3e291a,
title = "Hypothesis testing in multivariate normal models with block circular covariance structures",
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.",
keywords = "beta random variables, canonical reduction, exchangeability, likelihood ratio test, near-exact distributions, Toeplitz matrix",
author = "Yuli Liang and Coelho, {Carlos A.} and {von Rosen}, Tatjana",
note = "Funding Information: info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00297%2F2020/PT# The authors thank Professor Dietrich von Rosen at the Swedish University of Agricultural Sciences and Link{\"o}ping University, Sweden, for the fruitful discussions and valuable comments during the preparation of the paper. This research has been supported by The Swedish Research Council (2017‐03003) a Yuli Liang's research is partly supported by the strategic funding of {\"O}rebro University. Liang carried out part of the work while affiliated with Stockholm University. Publisher Copyright: {\textcopyright} 2021 The Authors. Biometrical Journal published by Wiley-VCH GmbH",
year = "2022",
month = mar,
doi = "10.1002/bimj.202100023",
language = "English",
volume = "64",
pages = "557--576",
journal = "Biometrical Journal",
issn = "0323-3847",
publisher = "Wiley-VCH Verlag Berlin",
number = "3",
}