TY - JOUR
T1 - Best unbiased estimates for parameters of three-level multivariate data with doubly exchangeable covariance structure
AU - Kozioł, Arkadiusz
AU - Roy, Anuradha
AU - Zmyślony, Roman
AU - Leiva, Ricardo
AU - Fonseca, Miguel
N1 - sem pdf conforme despacho.
(Portuguese Foundation for Science and Technology) through the project UID/MAT/00297/2013 (Centro de Matemática e Aplicações).
PY - 2017/12/15
Y1 - 2017/12/15
N2 - The article addresses the best unbiased estimators of doubly exchangeable covariance structure, an extension of block exchangeable covariance structure, for three-level multivariate data. Under multivariate normality, the free-coordinate approach is used to obtain linear and quadratic estimates for the model parameters that are unbiased, sufficient, complete and consistent. Data from a clinical trial study is analyzed to illustrate the application of the obtained results.
AB - The article addresses the best unbiased estimators of doubly exchangeable covariance structure, an extension of block exchangeable covariance structure, for three-level multivariate data. Under multivariate normality, the free-coordinate approach is used to obtain linear and quadratic estimates for the model parameters that are unbiased, sufficient, complete and consistent. Data from a clinical trial study is analyzed to illustrate the application of the obtained results.
KW - Best unbiased estimator
KW - Coordinate free approach
KW - Doubly exchangeable covariance structure
KW - Three-level multivariate data
KW - Unstructured mean vector
UR - http://www.scopus.com/inward/record.url?scp=85028763882&partnerID=8YFLogxK
U2 - 10.1016/j.laa.2017.08.005
DO - 10.1016/j.laa.2017.08.005
M3 - Article
AN - SCOPUS:85028763882
SN - 0024-3795
VL - 535
SP - 87
EP - 104
JO - Linear Algebra and its Applications
JF - Linear Algebra and its Applications
ER -