Testing independence under a block compound symmetry covariance structure

K Filipiak, M John, D Klein - Statistical Papers, 2023 - Springer
The goal of this article is to test the hypothesis related to the independence of features
between any two repeated measures in a block compound symmetry structure under the …

[HTML][HTML] Optimal estimation for doubly multivariate data in blocked compound symmetric covariance structure

A Roy, R Zmyślony, M Fonseca, R Leiva - Journal of Multivariate Analysis, 2016 - Elsevier
The paper deals with the best unbiased estimators of the blocked compound symmetric
covariance structure for m-variate observations over u sites under the assumption of …

Testing a block exchangeable covariance matrix

A Roy, K Filipiak, D Klein - Statistics, 2018 - Taylor & Francis
Testing hypotheses about the structure of a covariance matrix for doubly multivariate data is
often considered in the literature. In this paper the Rao's score test (RST) is derived to test …

A New Representation of Uniform-Block Matrix and Applications

Y Yang, H Lee, S Chen - arXiv preprint arXiv:2304.08553, 2023 - arxiv.org
A covariance matrix with a special pattern (eg, sparsity or block structure) is essential for
conducting multivariate analysis on high-dimensional data. Recently, a block covariance or …

Hypothesis testing for independence under blocked compound symmetric covariance structure

S Tsukada - Communications in Mathematics and Statistics, 2018 - Springer
One type of covariance structure is known as blocked compound symmetry. Recently, Roy et
al.(J Multivar Anal 144: 81–90, 2016) showed that, assuming this covariance structure …

Asymptotic normality and moderate deviation principle for high-dimensional likelihood ratio statistic on block compound symmetry covariance structure

G Sun, J Xie - Statistics, 2020 - Taylor & Francis
The paper considers a high-dimensional likelihood ratio (LR) test on the block compound
symmetric (BCS) covariance structure of a multivariate Gaussian population. When the …

Estimation and testing hypotheses in two-level and three-level multivariate data with block compound symmetric covariance structure

A Kozioł, A Roy, R Zmyślony, I Žežula… - … , multilinear and mixed …, 2021 - Springer
This article deals with the estimation and hypotheses testing problems for two-level and
three-level multivariate data. The coordinate-free approach is used to prove that the …

Linear models for multivariate repeated measures data with block exchangeable covariance structure

T Opheim, A Roy - Computational Statistics, 2021 - Springer
The popularity of the classical general linear model (CGLM) is attributable mostly to its ease
of fitting and validating; however, the CGLM is inappropriate for correlated observations. In …

[引用][C] Revisiting the linear models with exchangeably distributed errors

T Opheim, A Roy - Proceedings of the American statistical …, 2019 - m.passtoski.com
The popularity of the classical general linear model (CGLM) is mostly due to the ease of
modeling and authentication of the appropriateness of the model. However, CGLM is not …

Mean Equality Tests for High-Dimensional and Higher-Order Data with k-Self Similar Compound Symmetry Covariance Structure

R Leiva, A Roy - Symmetry, 2022 - mdpi.com
An extension of the D 2 test statistic to test the equality of mean for high-dimensional and k-
th order array-variate data using k-self similar compound symmetry (k-SSCS) covariance …