254,251 research outputs found
Reply to Chen et al.: Parametric methods for cluster inference perform worse for two-sided t-tests
One-sided t-tests are commonly used in the neuroimaging field, but two-sided
tests should be the default unless a researcher has a strong reason for using a
one-sided test. Here we extend our previous work on cluster false positive
rates, which used one-sided tests, to two-sided tests. Briefly, we found that
parametric methods perform worse for two-sided t-tests, and that non-parametric
methods perform equally well for one-sided and two-sided tests
Dihedral Sieving Phenomena
Cyclic sieving is a well-known phenomenon where certain interesting
polynomials, especially -analogues, have useful interpretations related to
actions and representations of the cyclic group. We propose a definition of
sieving for an arbitrary group and study it for the dihedral group
of order . This requires understanding the generators of the representation
ring of the dihedral group. For odd, we exhibit several instances of
dihedral sieving which involve the generalized Fibonomial coefficients,
recently studied by Amdeberhan, Chen, Moll, and Sagan. We also exhibit an
instance of dihedral sieving involving Garsia and Haiman's -Catalan
numbers.Comment: 10 page
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