Conditions are obtained for the multivariate components of variance model to admit a multivariate analysis of variance (MANOVA). MANOVA in this setup is defined as a partition of the sum of squares and sum of products matrix into independent Wishart matrices. A minimal sufficient statistic is exhibited using the terms in the MANOVA and its completeness is discussed. The results are illustrated using examples. © 1989.
Mathew, T. (1989). MANOVA in the multivariate components of variance model. Journal of Multivariate Analysis, 29(1), 30–38. https://doi.org/10.1016/0047-259X(89)90074-2