The probability of making a correct decision in hypotheses testing as estimator of quality of planned experiments

Details The probability of making a correct decision in hypotheses testing as estimator of quality of planned experiments The probability of making a correct decision in hypotheses testing as estimator of quality of planned experiments

2003-09-04

arxiv.org/abs/physics/0309031v3

Proceedings of MaxEnt'23, Jackson Hole, Wyoming, 2003, edited by G. Erickson and Y. Zhai

Physics

Data Analysis, Statistics and Probability

6 pages (1 LaTeX file), 4 eps files (figures), improved the proof of good properties of the estimator

Scientific paper

10.1063/1.1751387

In the report the approach to estimation of quality of planned experiments is considered. This approach is based on the analysis of uncertainty, which will take place under the future hypotheses testing about the existence of a new phenomenon in Nature. The probability of making a correct decision in hypotheses testing is proposed as estimator of quality of planned experiments. This estimator allows to take into account systematics and statistical uncertainties in determination of signal and background rates.

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