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On optimal tests for general interval-hypotheses |
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| Authors: | Günther H. Mehring |
| Affiliation: | Medical Department , CIBA-GEIGY Ltd, Pharmaceuticals Division , Basle, CH, 4002, Switzerland |
| Abstract: | Optimal statistical tests, using the normality assumptions for general interval hypotheses including equivalence testing and testing for nonzero difference (or for non-unit) are presented. These tests are based on the decision theory for Polya Type distributions and are compared with usual confidence tests and with ’two one-sided tests’- procedures. A formal relationship between some optimal tests and the Anderson and Hauck procedure as well as a procedure recommended by Patel and Gupta is given. A new procedure for a generalisation of Student's test as well as for equivalence testing for thet-statistics is shown. |
| Keywords: | testing for equivalence testing for non-zero difference (or for non-unit) α-adjustment two one-sided tests confidence interval interval hypotheses uniform most powerful (unbiased) test T-test X 2-test F-test distributions of pólya type exponential family noncentral F-distribution noncentral T-distribution stretched X 2distribution stretched F-distribution |