When a dose-response experiment is conducted, the enhanced responses can be
observed at low doses. This phenomenon is often called hormesis. The enhan
ced responses at low doses does not necessarily mean the existence of horme
sis. It is important to conduct statistical analyses to determine whether a
departure from monotonic relationships is significantly different from the
chance occurrence. This paper introduces a non-parametric rank test to det
ect hormesis. To illustrate the use of this method, we apply it to the data
from a Whole Effluent Toxicity test. We demonstrate that the occurrence of
hormesis can be statistically evaluated by using this non-parametric rank
test.