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The exact two-sided likelihood ratio test for testing the equality of two exponential means is proposed and proved to be the uniformly most powerful unbiased test. This exact test has advantages over two alternative approaches in that it is unbiased and more powerful while maintaining the Type I error. The use of the proposed test is demonstrated in a nonsmall cell lung cancer clinical trial design.
Acknowledgments
The authors thank the editor, Dr. Steven Snapinn, the associate editor, and two referees for their constructive suggestions that improved the quality of this article. The authors give thanks to Gerold Bepler and George R. Simon for providing the nonsmall cell lung cancer data. This research was sponsored, in part, by the National Institute of Health and the National Cancer Institute, grant 1RC2CA14833201.