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

Zmyslony, R., Zezula, I. & Koziol, A., 2017, In : Electronic journal of linear algebra. 33, p. 41-52 12 p.

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  • Application of Jordan Algebra for Testing Hypotheses About Structure of Mean Vector in Model with Block Compound Symmetric Covariance Structure

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DOI

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 1(u)circle times mu with mu = (mu(1), mu(2), ..., mu(m))' is an element of R-m. This hypothesis is tested against alternative of unstructured mean vector, which can change over sites or over time points.

Original languageEnglish
Pages (from-to)41-52
Number of pages12
JournalElectronic journal of linear algebra
Volume33
Publication statusPublished - 2017

    Keywords

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

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