Tutorial uji t2 hotelling spss4/13/2023 Their theoretical properties, for example root-n consistency as well as those of the L²-norm-based and F-type tests are established. ![]() In this paper, the GPF and Fmax-test are adapted to the above GLHT problem. ![]() They are scale-invariant in the sense that their test statistics do not change if we multiply each of functional curves with a non-zero function of the observed locations. The GPF and Fmax-test enjoy several other good properties. In addition, for functional one-way ANOVA, simulation studies in the literature indicate that they are less powerful than the globalizing pointwise F (GPF) test and the Fmax-test. ![]() Existing tests for this GLHT problem include a L²-norm-based test and an F-type test but their theoretical properties have not been investigated. In real data analysis, it is often interesting to consider a general linear hypothesis testing (GLHT) problem for functional data, which includes the one-way ANOVA, post hoc or contrast analysis as special cases.
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