Repeated significance test II, for hypotheses about the normal distribution
- 1 January 1974
- journal article
- research article
- Published by Taylor & Francis in Communications in Statistics
- Vol. 3 (8) , 711-733
- https://doi.org/10.1080/03610927408827172
Abstract
For testing H0:μ0 and against when the observations are independent normal with known variance, tests of the following structure are considered: For fixed n , stop with the first i≤n such that and reject H0, . Otherwise stop with n observations and accept H0 . Bounds on the power function and expected sample size are obtained, and these become exact limits as n→∞. The power function of these tests never falls below 94% of that of the corresponding nonsequential UMP (UMPU) tests.Keywords
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