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With 95% pointwise confidence limits as estimated by a random intercept model adjusting for age (reference, mean age = 53 years).
The vertical bars shows the estimated mean within each group with 95% confidence limits as estimated by a random intercept model (with a variance component defined by the centre) adjusting for age at scan (reference, mean age = 53 years).
The clustering in the data was accounted for by a random intercept at patient level and at centre level.
Our example with empirical data showed similar overall discriminative ability of the standard model and the random intercept model, if the cluster specific effects (estimated by a random intercept) were not used in the risk calculation.
Firstly, a random intercept model for country effects with just national level variables was tried, followed by a random intercept model for country effects with just household level variables.
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This model accounts for the repeated responses from the same circuit by using a random intercept.
We adjusted for clustering at the GP level by using a random intercept.
All models were adjusted for clustering at the GP level by using a random intercept constant at GP level.
The linear mixed effects analysis corrected for within-subject correlation by including a random intercept for patients.
To account for the clustering by school, a random intercept for the variable 'school' was included in the models.
To account for data clustering, we consider a mixed effects model of Z ij by incorporating a random intercept a j.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com