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Hypothesis Testing

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Probability in Physics

Part of the book series: Undergraduate Lecture Notes in Physics ((ULNP))

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Abstract

The idea of data likelihood. Using Bayes’s formula to update hypothesis probabilities. Confidence testing and P-values. Pitfalls of P-values. Bayesian inference with compound datasets. Confidence methods with compound datasets: using test statistics. The \(\chi ^2\) test statistic.

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References

  • Baker, M.: Statisticians issue warning over misuse of \(P\) values. Nature 531, 151 (2016)

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  • Bayes, T.: An essay towards solving a problem in the doctrine of chances. Philos. Trans. R. Soc. 53, 370 (1763)

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  • Sivia, D.S., Skilling, J.: Data Analysis: A Bayesian Tutorial, 2nd edn. Oxford University Press, Oxford (2006)

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  • Stone, J.V.: Bayes Rule: A Tutorial Introduction to Bayesian Analysis. Sebtel Press, Sheffield (2013)

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Correspondence to Andy Lawrence .

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Lawrence, A. (2019). Hypothesis Testing. In: Probability in Physics. Undergraduate Lecture Notes in Physics. Springer, Cham. https://doi.org/10.1007/978-3-030-04544-9_7

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