Covariate-Adjusted Constrained Bayes Predictions of Random Intercepts and Slopes.

Covariate-Adjusted Constrained Bayes Predictions of Random Intercepts and Slopes. Sujit Ghosh is a

Handling Correlations Between Covariates and Random Slopes in Multilevel Models

This article discusses estimation of multilevel/hierarchical linear models that include cluster-level random intercepts and random slopes. Viewing the models as structural, the random intercepts and slopes represent the effects of omitted cluster-level covariates that may be correlated with included covariates. The resulting correlations between random effects (intercepts and slopes) and includ...

Joint Models of Longitudinal and Time-to-Event Data Using Gibbs Sampling

Jointly modelling related longitudinal and time-to-event data can offer advantages over separate modelling. We consider three models for longitudinal/time-to-event data: 1. random slopes and intercepts/constant hazard 2. random slopes and intercepts/step function hazard 3. random intercepts, fixed slope and IOU errors/constant hazard. Methods for simulating data from these models are outlined. ...

Significance Testing

As with ordinary least squares regression or logistic regression, we can consider significance tests for individual estimates, such as intercepts, slopes, and their variances, as well as whether the full model accounts for a significant amount of variance in the dependent variable. In between, there is also the possibility of determining whether of subset of predictors contribute significantly....

A note on obtaining correct marginal predictions from a random intercepts model for binary outcomes.

BACKGROUND Clustered data with binary outcomes are often analysed using random intercepts models or generalised estimating equations (GEE) resulting in cluster-specific or 'population-average' inference, respectively. METHODS When a random effects model is fitted to clustered data, predictions may be produced for a member of an existing cluster by using estimates of the fixed effects (regress...