Abstract
In this and the 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
where \({\rm E}(e_{ij}) = 0, {\rm Var}(e_{ij}) = \sigma^2, {\rm and \ Cov}(e_{ij}, e_{j^{\prime}}, e_{{i^\prime j^\prime}}) = 0 {\rm when} (i, j) \neq (j^\prime, j^\prime)\). For finding tests and confidence intervals, the e ij s are assumed to have a multivariate normal distribution. Here α i is an effect for y ij belonging to the ith group of observations. Group effects are often called treatment effects because one-way ANOVA models are used to analyze completely randomized experimental designs.
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© 2011 Springer Science+Business Media, LLC
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Christensen, R. (2011). One-Way ANOVA. In: Plane Answers to Complex Questions. Springer Texts in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-9816-3_4
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DOI: https://doi.org/10.1007/978-1-4419-9816-3_4
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Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-9815-6
Online ISBN: 978-1-4419-9816-3
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