Abstract
Virtually any scientific experiment sets out to answer questions about the process under investigation, which often can be formally translated into a set of hypotheses. It is the exception that a single hypothesis is considered. In fact, the analysis of data or “data snooping” or “data mining” often leads to further questions as well.
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Notes
- 1.
This assumption is used only so that the critical constants of the optimal procedures lead to control at exact level \(\alpha \).
- 2.
A more general definition of smallness is due to Wijsman (1979). It has been pointed out by Professor Wijsman that his concept is equivalent to that of tautness defined by Wynn and Bloomfield (1971).
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Lehmann, E.L., Romano, J.P. (2022). Multiple Testing and Simultaneous Inference. In: Testing Statistical Hypotheses. Springer Texts in Statistics. Springer, Cham. https://doi.org/10.1007/978-3-030-70578-7_9
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DOI: https://doi.org/10.1007/978-3-030-70578-7_9
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