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Unformatted text preview: AMS 315 Data Analysis Chapter Eight Study Guide Inferences about More than Two Population Central Values Fall 2010 Context The procedures in this chapter generalize the test of the equality of means of two independent populations. This generalization is often called the one-way layout. While this design has somewhat limited value in practice, the material in this chapter is fundamental for further generalizations. The key ideas that are first developed in the one- way analysis of variance are: the generalization of the t-test, the expected mean square calculation (which is described in Chapter 14 and is crucial for power calculations), and the introduction to multiple testing of hypotheses in Chapter 9. Chapter Eight 8.1. Introduction and Abstract of Research Study Note the case study. 8.2 A Statistical Test about More Than Two Population Means: An Analysis of Variance This is core material that you must master and that was covered extensively in lecture. 8.3 The Model of Observations in a Completely Randomized Design This is also fundamental material. Note that the model that specified in class was ij W i ij Z Y 1 σ τ μ + + = , for t i , , 1 = (where t is the number of treatments), i n j , , 1 = , and 1 = ∑ = t i i i n τ . The use of ij Z in this model is the assumption that the dependent...
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- Fall '08
- Variance, ij, variance assumption, important assumption, Variance Stabilizing Transformation