NONPARAMETRIC MULTIPLE COMPARISONS WITH MORE THAN ONE CONTROL
USING NORMAL SCORES AND SAVAGE STATISTICS
by ELEANNE SOLORZANO.
Distribution-free methods are considered for comparing multiple
treatments to multiple controls in the one-way layout. Using normal scores
statistics, one-sided tests are developed for multiple treatment versus
multiple control comparisons of medians. Using Savage statistics, analogous
results are developed for comparing scale parameters of the treatments to the
controls with non-negative data. Upper bounds for the Type I error
probabilities are established for a general number of treatments and controls
using the concept of partitions and a union-intersection algorithm. Asymptotic
relative efficiencies of these tests relative to their competitors are
identical to their two-sample counterparts.
Distribution-free, linear-rank statistic, many-one procedure,
treatment versus control, score function
Eleanne Solorzano, firstname.lastname@example.org
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