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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