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Célia Nunes, Iola Pinto, João Tiago Mexia (2006)
Discussiones Mathematicae Probability and Statistics
F tests and selective F tests for fixed effects part of balanced models with cross-nesting are derived. The effects of perturbations in the numerator and denominator of the F statistics are considered.
Joao Tiago Mexia, Gerberto Carvalho Dias (2001)
Discussiones Mathematicae Probability and Statistics
When the measurement errors may be assumed to be normal and independent from what is measured a subnormal model may be used. We define a linear and generalized linear hypotheses for these models, and derive F-tests for them. These tests are shown to be UMP for linear hypotheses as well as strictly unbiased and strongly consistent for these hypotheses. It is also shown that the F-tests are invariant for regular transformations, possess structural stability and are almost strongly consistent for generalized...
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