Publication

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.

Research output: Contribution to journalArticleAcademicpeer-review

APA

Zmyslony, R., Zezula, I., & Koziol, A. (2017). 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, 33, 41-52. https://doi.org/10.13001/1081-3810.3748

Author

Zmyslony, Roman ; Zezula, Ivan ; Koziol, Arkadiusz. / Application of jordan algebra for testing hypotheses about structure of mean vector in model with block compound symmetric covariance structure. In: Electronic journal of linear algebra. 2017 ; Vol. 33. pp. 41-52.

Harvard

Zmyslony, R, Zezula, I & Koziol, A 2017, '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, vol. 33, pp. 41-52. https://doi.org/10.13001/1081-3810.3748

Standard

Application of jordan algebra for testing hypotheses about structure of mean vector in model with block compound symmetric covariance structure. / Zmyslony, Roman; Zezula, Ivan; Koziol, Arkadiusz.

In: Electronic journal of linear algebra, Vol. 33, 2017, p. 41-52.

Research output: Contribution to journalArticleAcademicpeer-review

Vancouver

Zmyslony R, Zezula I, Koziol A. 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. 2017;33:41-52. https://doi.org/10.13001/1081-3810.3748


BibTeX

@article{91a93cfd2b824dc2947bf1db0cf5c7f2,
title = "Application of jordan algebra for testing hypotheses about structure of mean vector in model with block compound symmetric covariance structure",
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.",
keywords = "Best unbiased estimator, testing structured mean vector, blocked compound symmetric covariance structure, doubly multivariate data, coordinate free approach, unstructured mean vector, MULTIVARIATE, MATRIX",
author = "Roman Zmyslony and Ivan Zezula and Arkadiusz Koziol",
year = "2017",
doi = "10.13001/1081-3810.3748",
language = "English",
volume = "33",
pages = "41--52",
journal = "Electronic journal of linear algebra",
issn = "1081-3810",
publisher = "INT LINEAR ALGEBRA SOC",

}

RIS

TY - JOUR

T1 - Application of jordan algebra for testing hypotheses about structure of mean vector in model with block compound symmetric covariance structure

AU - Zmyslony, Roman

AU - Zezula, Ivan

AU - Koziol, Arkadiusz

PY - 2017

Y1 - 2017

N2 - 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.

AB - 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.

KW - Best unbiased estimator

KW - testing structured mean vector

KW - blocked compound symmetric covariance structure

KW - doubly multivariate data

KW - coordinate free approach

KW - unstructured mean vector

KW - MULTIVARIATE

KW - MATRIX

U2 - 10.13001/1081-3810.3748

DO - 10.13001/1081-3810.3748

M3 - Article

VL - 33

SP - 41

EP - 52

JO - Electronic journal of linear algebra

JF - Electronic journal of linear algebra

SN - 1081-3810

ER -

ID: 102211908