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Chapter 10



                              Sorting Out the Means with


                                    Multiple Comparisons






                      In This Chapter
                      ▶ Knowing when and how to follow up ANOVA with multiple comparisons
                      ▶ Comparing two well-known multiple comparison procedures
                      ▶ Taking additional procedures into consideration




                                   magine this: You’re comparing the means of not two, but k independent
                                Ipopulations, and you find out (using ANOVA; see Chapter 9) that you
                                reject Ho: All the population means are equal, and you conclude Ha: At least
                                two of the population means are different. Now you gotta know — which of
                                those populations are different? Answering this question requires a follow-
                                up procedure to ANOVA called multiple comparisons, which makes sense
                                because you want to compare the multiple means you have to see which
                                ones are different.
                                In this chapter, you figure out when you need to use a multiple comparison
                                procedure. Two of the most well-known multiple comparison procedures are
                                Fisher’s LSD (least significant difference) and Tukey’s test. They can help you
                                answer that burning question: So some of the means are different, but which
                                ones are different? In this chapter, I also tell you about other comparison pro-
                                cedures that you may encounter or want to try.

                                Note: For those individuals who come up with new multiple comparison pro-
                                cedures, the procedures are generally named after them. (It’s like having a
                                star named after you but less romantic and a whole lot more work.)



















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