The Linear Model and Hypothesis

Released on by George Seber
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  • The Linear Model and Hypothesis Book Detail

  • Author : George Seber
  • Release Date : 2015-10-08
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 208
  • ISBN 13 : 3319219308
  • File Size : 71,71 MB
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The Linear Model and Hypothesis by George Seber PDF Summary

Book Description: This book provides a concise and integrated overview of hypothesis testing in four important subject areas, namely linear and nonlinear models, multivariate analysis, and large sample theory. The approach used is a geometrical one based on the concept of projections and their associated idempotent matrices, thus largely avoiding the need to involvematrix ranks. It is shown that all the hypotheses encountered are either linear or asymptotically linear, and that all the underlying models used are either exactly or asymptotically linear normal models. This equivalence can be used, for example, to extend the concept of orthogonality to other models in the analysis of variance, and to show that the asymptotic equivalence of the likelihood ratio, Wald, and Score (Lagrange Multiplier) hypothesis tests generally applies.

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The Linear Model and Hypothesis

The Linear Model and Hypothesis

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This book provides a concise and integrated overview of hypothesis testing in four important subject areas, namely linear and nonlinear models, multivariate ana

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Sample Size Choice

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A guide to testing statistical hypotheses for readers familiar with the Neyman-Pearson theory of hypothesis testing including the notion of power, the general l