One-Way ANOVA

  • Ronald Christensen
Part of the Springer Texts in Statistics book series (STS)

Abstract

In this and following chapters, we apply the general theory of linear models to various special cases. This chapter considers the analysis of one-way ANOVA models. A one-way ANOVA model can be written
$${y_{ij}} = \mu + {a_i} + {e_{ij}}i = 1,...,t,j = 1,...,{N_i},$$
(1)
where E(e ij ) = 0, Var(e ij ) = σ 2, and Cov(e ij , e i j) = 0 when (i, j) ≠(i′, j′). For finding tests and confidence intervals, the e ij s are assumed to have a multivariate normal distribution.

Keywords

Projection Operator Multivariate Normal Distribution Design Matrice Side Condition ANOVA Table 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • Ronald Christensen
    • 1
  1. 1.Department of Mathematics and StatisticsUniversity of New MexicoAlbuquerqueUSA

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