Ryan Elmore
Mathematical Sciences Institute
The Australian National University
A Fully Nonparametric Test for One-Way Layouts
We consider the use of a vector of sign statistics as the basis of a
nonparametric test for equality of distributions in one-way layouts. In
this scenario, the data consist of several independent measurements on each
treatment or subject. An important feature of this test is its ability to
detect a broad range of alternatives, including scale and shape differences.
We will present finite sample and asymptotic distribution theory for our
test statistics and discuss a follow-up multiple comparisons procedure based
on a mixture model approximation.
The methods are illustrated using two examples from the literature.
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