This lecture covers the fundamental concepts of multilevel models, focusing on nested data structures with multiple levels such as schools, classes, and students. It explains the importance of considering intra-class correlation to measure outcome correlation within clusters. The instructor discusses the implications of ignoring the multi-level data structure and demonstrates how to calculate the intra-class correlation. Additionally, the lecture explores random-intercept and random-slope models, highlighting the significance of including predictors in the models. Practical examples and data exploration techniques are provided to illustrate the application of multilevel models in real-world scenarios.
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