Assessing Occupational Exposure via the Unbalanced One-Way Random Effects Model

Abstract

In this article, an unbalanced one-way random effects model is considered for the log-transformed shift-long exposure measurements. Exact test and confidence interval for the proportion of workers whose mean exposure exceeds the occupational exposure limit are developed based on the concepts of generalized p-value and generalized confidence interval. Some simulation results to compare the performance of the proposed test with that of the existing method are reported. The simulation results indicate that the proposed method appears to have significant gain in the size and power.

Keywords:

• Generalized confidence interval
• Generalized p-value
• Occupational exposure limit
• Power
• Size

Mathematics Subject Classification:

• 62F03
• 62F25

Acknowledgments

We gratefully acknowledge the editor and referees for their valuable comments and suggestions which greatly improve this article. This work was supported by the Funding Project for Academic Human Resources Development in Institutions of Higher Learning Under the Jurisdiction of Beijing Municipality, and National Natural Science Foundation of China, Tian Yuan Special Foundation (No. 10726045), and the Scientific Research Foundation of Hangzhou Dianzi University (KYS025608094).