Listy Biometryczne-Biometrical Letters Vol.36(2), 1999, pp.159-167
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MULTIPLE COMPARISONS FOR RANK ONE COMMON STRUCTURES*
Manuela M. Oliveira1 and João T. Mexia2 1Departamento de Matemática, Universidade de Évora, Colegio Luis Antonio Yerney, Rua Romão Ramalho 59, 7000 Évora, Portugal 2Departamento de Matemática, Universidade Nova de Lisboa, Faculdade de Ci?ncias e Tecnologia, Quinta da Torre, 2825 Monte da Caparica, Portugal |
Given a series of objects x variables matrices with a common structure, we show how to express that structure by a vector whose components correspond to the matrices. Moreover F tests may be derived for hypothesis on this structure vectors for matched series of matrices. We show also how to apply multiple comparison methods whenever significant differences between structure vectors are found. Namely, the very robust Scheffe's method was considered as well as Tukey's method.
STATIS, Hilbert-Schmidt products, F tests, Scheffe's multiple comparison method, Tukey's multiple comparison method
*The paper was submitted on the occasion of 70-th birthday of Professor Tadeusz Caliński
*The paper was submitted on the occasion of 70-th birthday of Professor Tadeusz Caliński
