Abstract
Given the model \(\mathbf{y} \sim N_{n}(\boldsymbol{\theta },\sigma ^{2}\mathbf{I}_{n})\) and assumption G that \(\boldsymbol{\theta }\in \varOmega\), a p-dimensional subspace of \(\mathbb{R}^{n}\), we wish to test the linear hypothesis \(H:\boldsymbol{\theta }\in \omega\), where ω is a p − q dimensional subspace of Ω.
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References
Scheffé, H. (1959). The analysis of variance. New York: Wiley.
Seber, G. A. F., & Lee, A. J. (2003). Linear regression analysis (2nd ed.). New York: Wiley.
Wald, A. (1943). Tests of statistical hypotheses concerning several parameters when the number of observations is large. Transactions of the American Mathematical Society, 54, 426–482.
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Seber, G.A.F. (2015). Hypothesis Testing. In: The Linear Model and Hypothesis. Springer Series in Statistics. Springer, Cham. https://doi.org/10.1007/978-3-319-21930-1_4
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DOI: https://doi.org/10.1007/978-3-319-21930-1_4
Publisher Name: Springer, Cham
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