[R-meta] Difference between univariate and multivariate parameterization
Luke Martinez
m@rt|nez|ukerm @end|ng |rom gm@||@com
Wed Aug 18 20:29:41 CEST 2021
Dear Colleagues,
Imagine I have two models.
Model 1:
random = ~1 | study / row_id
Model 2:
random = ~ row_id | study, struct = "CS"
I understand that the diagonal elements of the variance-covariance matrix
of a study with two effect size estimates for each model will be:
Model 1:
VAR(y_ij) = sigma^2_between + sigma^2_within + e_ij
Model 2:
VAR(y_ij) = tau^2 + e_ij
Question: In model 2's variance-covariance matrix, what fills the role of
sigma^2_within (within-study heterogeneity) that exists in model 1's matrix?
Thank you very much for your assistance,
Luke Martinez
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