Institute of Applied Mathematics, \,School of Science,\,Shandong University of Technology

A unbalanced one-way random model is considered
for assessing the proportion of workers whose mean exposure exceed
the occupational exposure limit (OEL) based on exposure measurements
to the worker. Hypothesis testing for the relevant parameter of
interest is proposed when the exposure data are unbalanced. The
method is based on the generalize inference. A simulation study is
conducted to compare it with that of Krishnamoorthy and Guo (2005).
Simulation results suggest that the proposed method appears to be
better, especially in very unbalanced design.