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Testing Several Hypotheses

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The Linear Model and Hypothesis

Part of the book series: Springer Series in Statistics ((SSS))

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Abstract

Let \(\boldsymbol{\theta }\) be an unknown vector parameter, let G be the hypothesis that \(\boldsymbol{\theta }\in \varOmega\), a p-dimensional vector space in \(\mathbb{R}^{n}\), and assume that \(\mathbf{y} \sim N_{n}[\boldsymbol{\theta },\sigma ^{2}\mathbf{I}_{n}]\).

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References

  • Darroch, J. N., & Silvey, S. D. (1963). On testing more than one hypothesis. Annals of Mathematical Statistics, 34, 555–567.

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  • Seber, G. A. F. (1964). Orthogonality in analysis of variance. Annals of Mathematical Statistics, 35(2), 705–710.

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  • Seber, G. A. F., & Lee, A. J. (2003). Linear regression analysis (2nd ed.) New York: Wiley.

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Seber, G.A.F. (2015). Testing Several Hypotheses. In: The Linear Model and Hypothesis. Springer Series in Statistics. Springer, Cham. https://doi.org/10.1007/978-3-319-21930-1_6

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