Hypothesis Testing

  • George A. F. Seber
Part of the Springer Series in Statistics book series (SSS)


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 pq dimensional subspace of Ω.


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  3. 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.zbMATHMathSciNetCrossRefGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • George A. F. Seber
    • 1
  1. 1.Department of StatisticsThe University of AucklandAucklandNew Zealand

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