3Experiments with a Single Factor: The Analysis of Variance
Section 3.1 A One-way ANOVA Example
Section 3.4 Model Adequacy Checking
Section 3.8.1 Single Factor Experiment
Section 3.8.2 Application of a Designed Experiment
Section 3.8.3 Discovering Dispersion Effects
In this chapter, the t-test is generalized to accommodate factors with more than two levels. The method of analysis of variance (ANOVA) introduced here allows us to study the equality of the means of three or more factor levels. ANOVA partitions the total sample variance into two parts: the variance explained by the factor under study, and the remaining, unexplained variance.
The method makes several assumptions about the distribution of the random error term in the model. If the ...
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