Chapter 9 Guide_F10

# Chapter 9 Guide_F10 - AMS 315 Data Analysis Chapter Nine...

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AMS 315 Data Analysis Chapter Nine Study Guide Multiple Comparisons Fall 2010 Context The procedures in this chapter provide tools to deal with the inflation of the level of significance due to multiple testing. Chapter Nine 9.1. Introduction and Abstract of Research Study The authors give a good introduction to the issues of multiple testing. 9.2 Linear Contrasts Hypotheses are typically stated using linear contrasts. Definition 9.1 specifies what a contrast is. Definition 9.2 deals with orthogonal contrasts. Since estimators corresponding to orthogonal contrasts are independent when dealing with normally distributed data, orthogonal contrasts are useful in statistical analyses. In a one-way analysis of variance with t treatments, there are 1 - t orthogonal contrasts, one for each degree of freedom in the between group sum of squares. Note the formula for the sum of squares for a contrast. Each of the 1 - t orthogonal contrasts has a sum of squares based on 1 degree of freedom.

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