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Incorporating historical information in testing for a trend in Poisson means
Authors:Yasuki Kikuchi  Takashi Yanagawa
Institution:(1) Sasebo College of Technology, I-I Okishin-machi, 857-11 Sasebo, Japan;(2) Kyushu University 33, Higashi-ku, 812 Fukuoka, Japan
Abstract:An exact conditional test is developed for testing a trend in Poisson means when the historical control information is incorporated into the concurrent control data. An asymptotic conditional test is also developed as an alternative to the Tarone test. Asymptotic gains by the incorporation of the historical information is evaluated.
Keywords:Poisson trend test  negative multinomial distribution  exact conditional test  asymptotic normality  asymptotic efficiency
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