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Testing Statistical Hypotheses

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Statistical Theory and Inference
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Abstract

A hypothesis is a statement about a population parameter θ, and in hypothesis testing there are two competing hypotheses called the null hypothesis HoH 0 and the alternative hypothesis \(H_{1} \equiv H_{A}\). Let Θ 1 and Θ 0 be disjoint sets with Θ i Θ where Θ is the parameter space. Then Ho: θΘ 0 and H 1: θΘ 1.

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Olive, D.J. (2014). Testing Statistical Hypotheses. In: Statistical Theory and Inference. Springer, Cham. https://doi.org/10.1007/978-3-319-04972-4_7

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