A new testing procedure is described concerning ordered alternative hy
potheses when three or more populations are categorized by class. The
test is specifically designed for use in complex testing applications
frequently found in biological research where the isotonic regression
and Jonckheere-Terpstra test cannot readily be applied. The test has b
oth parametric and nonparametric applications. Significance tables for
the test are provided for both large and small sample sizes, and a po
wer analysis relative to isotonic regression is described for the case
of the one-way layout.