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


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
$${y_{ij}} = \mu + {a_i} + {e_{ij}}i = 1,...,t,j = 1,...,{N_i},$$
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.


Projection Operator Multivariate Normal Distribution Design Matrice Side Condition ANOVA Table 


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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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