Home > ELA > Vol. 33 (2018)

#### Keywords

Best unbiased estimator, testing structured mean vector, blocked compound symmetric covariance structure, doubly multivariate data, coordinate free approach, unstructured mean vector

#### Abstract

In this article authors derive test for structure of mean vector in model with block compound symmetric covariance structure for two-level multivariate observations. One possible structure is so called structured mean vector when its components remain constant over sites or over time points, so that mean vector is of the form $\boldsymbol{1}_{u}\otimes\boldsymbol{\mu}$ with $\boldsymbol{\mu}=(\mu_1,\mu_2,\ldots,\mu_m)'\in\mathbb{R}^m$. This hypothesis is tested against alternative of unstructured mean vector, which can change over sites or over time points.

#### Recommended Citation

Zmyślony, Roman; Zezula, Ivan; and Kozioł, Arkadiusz.
(2018),
"Application of Jordan Algebra for Testing Hypotheses About Structure of Mean Vector in Model with Block Compound Symmetric Covariance Structure",
*Electronic Journal of Linear Algebra*,
Volume 33, pp. 41-52.

DOI: https://doi.org/10.13001/1081-3810, 1537-9582.3748

*Abstract*