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Titlebook: Statistical Methods for Data Analysis; With Applications in Luca Lista Book 2023Latest edition The Editor(s) (if applicable) and The Author

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Machine Learning,upervised learning, that is more widely used in physics for applications to classification and regression. A connection with hypothesis testing, covered in the previous chapter, is discussed. The issues with undertraining and overtraining are presented, illustrating the bias-variance trade-off with
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Confidence Intervals,of discrete random observable variable, where the exact coverage cannot be ensured. The binomial interval determination due to Clopper and Pearson is presented as concrete case. The flip-flopping problem and the unified approach, due to Feldman and Cousins, are introduced.
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Frequentist Probability and Inference, minimum chi-square method and least square method are presented, using the linear regression as particular example. The use of the chi-square for goodness of fit is introduced. Constrained fits are briefly introduced, and error propagation is discussed, in particular putting emphasis on the difficulty to propagate and combine asymmetric errors.
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