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

Roman Zmyslony*, Ivan Zezula, Arkadiusz Koziol

*Corresponding author for this work

    Research output: Contribution to journalArticleAcademicpeer-review

    3 Citations (Scopus)

    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 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
    DOIs
    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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