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)
Bayes, T.: An essay towards solving a problem in the doctrine of chances. Philos. Trans. R. Soc. 53, 370 (1763)
Sivia, D.S., Skilling, J.: Data Analysis: A Bayesian Tutorial, 2nd edn. Oxford University Press, Oxford (2006)
Stone, J.V.: Bayes Rule: A Tutorial Introduction to Bayesian Analysis. Sebtel Press, Sheffield (2013)
Websites (all accessed March 2019):
Online version of Baker (2016), with useful links: http://www.nature.com/news/statisticians-issue-warning-over-misuse-of-p-values-1.19503?WT.mc_id=SFB_NNEWS_1508_RHBox
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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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DOI: https://doi.org/10.1007/978-3-030-04544-9_7
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