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Psychology 290 Special Topics Study Course: Advanced Meta-analysis. March 5, 2014. Overview. Models for variance components. Models for variance components. Sometimes, it is likely that the variance component will depend on study characteristics.
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Psychology 290Special Topics Study Course: Advanced Meta-analysis March 5, 2014
Overview • Models for variance components
Models for variance components • Sometimes, it is likely that the variance component will depend on study characteristics. • One common way to address that is to conduct separate RE meta-analyses for each group of interest.
Variance component models (cont.) • That works fine when: • The model for groups predicting the mean effect is the same as the model for variance components; • There are no continuous predictors. • However, it does not provide a test of the need for the variance component model. • The same result can be accomplished using hierarchical models with level-two variance components.
Adding the VC model • Variance component models may also be accommodated simply by adding a linear model that depends on: • a second vector of regression parameters (g); • a second matrix of predictors (Y).
The log likelihood • This produces the following log likelihood:
Estimating the model • Digressions in Rand HLM to demonstrate: • estimation of the model • equivalence of separate-groups analysis • the likelihood ratio test.
Next time… • Continuing with models for variance components.