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Applications of a Vectorized MANOVA‐Model
Author(s) -
Hecker H.,
Wübbelt P.
Publication year - 1988
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710300602
Subject(s) - multivariate analysis of variance , crossover , covariance matrix , mathematics , statistics , covariance , matrix (chemical analysis) , analysis of covariance , linear model , multivariate normal distribution , multivariate statistics , computer science , algorithm , artificial intelligence , chemistry , chromatography
If the observation matrix of n independent p ‐dimensional normal vectors with common covariance matrix is transformed into an np ‐vector, linear models and hypotheses on the expectations can be formulated, that are not attainable in standard MANOVA or GMANOVA models. The distribution of an earlier proposed test procedure for this vectorized model is derived for p = 2, and its application is demonstrated for crossover and repeated measurement designs. Numerical results are compared in situations, in which both the standard and the vectorized model are applicable.