KEY FEATURES: Examples for each statistical expression help readers understand complex formulas A chapter on how to use the literature for power analysis walks readers through the process of making good assumptions A chapter on how to write about power analysis offers 7 key points on what needs to be included in a power analysis

Multilevel Models I: Testing the Difference in Group Means in Two-Level Cluster Randomized Trials

Multilevel Models I: Testing the Difference in Group Means in Two-Level Cluster Randomized Trials

E. C. Hedberg

In this chapter, the topic of cluster, or multilevel, designs is introduced. Multilevel designs are common in experimental research (for a good review of reasons, see Bloom, 2005). Multilevel designs are especially common in education (O’Connell & McCoach, 2008) and health (Donner & Klar, 2000; Murray, 1998). Although multilevel modeling software such as “HLM” (Raudenbush, Bryk, & Congdon, 2004) is typically used to fit such models, we explore these tests using an ANOVA framework to better understand the mechanics and find parameters for power.1 The focus in this chapter will be on two-level designs, but ...

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