Two-Way Analysis of Variance

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Two-Way Analysis of Variance

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CHAPTER OUTLINE

  • 13.1 The Two-Way ANOVA Model

  • 13.2 Inference for Two-Way ANOVA

Introduction

In this chapter, we move from one-way ANOVA, which compares the means of several populations, to two-way ANOVA. Two-way ANOVA compares the means of populations that can be classified in two ways or the mean responses in two-factor experiments.

Many of the key concepts are similar to those of one-way ANOVA, but the presence of more than one classification factor also introduces some new ideas. We once more assume that the data are approximately Normal and that although groups may have different means, they have the same standard deviation; we again pool to estimate the variance; and we again use F statistics for significance tests.

The major difference between one-way and two-way ANOVA is in the FIT part of the model. We will carefully study this term, and we will find much that is both new and useful.