Question: 11.6 Suppose that you are analyzing a data set consisting of a random sample of patients who were selected from a random sample of clinics,

11.6 Suppose that you are analyzing a data set consisting of a random sample of patients who were selected from a random sample of clinics, and you would like to predict whether a given patient will fully recover from a flu-like virus based on the patient’s age (measured in years).

a. Conceptually, how would you decide whether to fit a random intercept or a random slope model to predict the probability of recovery from age?

b. Write out the model with a random intercept only (i.e., fixed slope). Explain, conceptually, what each parameter in the model represents.

c. Write out the model with a random intercept and a random slope (for age). Explain, conceptually, what each parameter in the model represents.

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