# Application of jordan algebra for testing hypotheses about structure of mean vector in model with block compound symmetric covariance structure

@article{Zmyslony2018ApplicationOJ, title={Application of jordan algebra for testing hypotheses about structure of mean vector in model with block compound symmetric covariance structure}, author={R. Zmyslony and I. Zezula and Arkadiusz Kozioł}, journal={Electronic Journal of Linear Algebra}, year={2018}, volume={33}, pages={41-52} }

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… Expand

#### 3 Citations

Simultaneous hypotheses testing in models with blocked compound symmetric covariance structure

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Authors obtain test statistic for simultaneous test and prove that under null hypothesis the statistic has exact F distribution and also compare two other F tests for testing single hypotheses about mean and covariance matrix. Expand

Testing hypotheses about structure of parameters in models with block compound symmetric covariance structure

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In this article we deal with testing the hypotheses of the so-called structured mean vector and the structure of a covariance matrix. For testing the above mentioned hypotheses Jordan algebra… Expand

Ratio F test for testing simultaneous hypotheses in models with blocked compound symmetric covariance structure

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This article deals with testing simultaneous hypotheses about the mean structure and the covariance structure in models with blocked compound symmetric (BCS) covariance structure. Considered models… Expand

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