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Research article - Peer-reviewed, 2022

Residuals in GMANOVA-MANOVA model with rank restrictions on parameters

Wamono, Felix; von Rosen, Dietrich; Singull, Martin


Residuals in the GMANOVA-MANOVA model with rank restrictions on the mean parameters is considered. The main objective is to define residuals useful for evaluating the reduced rank restriction model. We decompose linear spaces into four subspaces as it can be done for the Extended Growth Curve model with two "profiles". The new residuals are defined by orthogonal projections on these subspaces. It is discussed how the new residuals can be used to test model assumptions.


GMANOVA-MANOVA model; Latent variables; Rank restrictions on parameters; Residuals

Published in

Journal of the Korean Statistical Society
2022, volume: 51, number: 1, pages: 223-244

Authors' information

Wamono, Felix
Makerere University
Swedish University of Agricultural Sciences, Department of Energy and Technology
Singull, Martin
Linkoping University

UKÄ Subject classification

Probability Theory and Statistics

Publication Identifiers


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