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Brief Introduction to Multilevel Analysis
Claudia Flowers
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Influence of Social Groups
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Lots of Schools
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Nesting of Our Data What would be the unit of analysis? Students?
Spurious results Teacher? Fewer cases School? Much fewer cases
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Conceptual Ecological Fallacy (Robinsons Effect)
Analyze at higher levels are used to form conclusions at a lower level—assume all members of a group exhibit same characteristics (e.g., stereotypes) Atomistic Fallacy (Individualistic fallacy) Formulating inferences at a higher level based on analyses at a lower level Simpson’s Paradox Erroneous conclusions may be drawn if group data from heterogeneous populations are aggregated and treated as a single homogeneous population (illustration:
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Multilevel Analysis Multiple names: multilevel analysis,
random coefficient model, variance component model, and hierarchical linear model.
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Simple Conceptual Idea
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Create Equations for Lots of Classrooms
And More
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Simple Conceptual Idea
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Use the Betas in Our 2nd Level
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Interested? Multivariate statistics
Look at the last chapter in Steven’s textbook
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