On the identification of extreme elements in a residual for the GMANOVA-MANOVA model / Béatrice Byukusenge, Dietrich von Rosen & Martin Singull.

Two different matrix residuals in a special GMANOVA-MANOVA model have previously been established (see Byukusenge et al., 2021, “On residual analysis in the GMANOVA-MANOVA model”). The residual that is studied in this article is constructed via the difference of the observed group means and the estimated mean structure. The residual provides information about the appropriateness of the model assumptions concerning the mean structure. The aim of this paper is to study the distribution of the largest elements (by absolute value) of the residual via two data sets. Parametric bootstrap is used to identify thresholds so that extreme elements of the residuals can be identified.

Ingår i:Innovations in Multivariate Statistical Modeling: Navigating Theoretical and Multidisciplinary DomainsSidorna 119-135

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