As opposed to Chapter 4, we now consider yij as the binary response for the jth (j = 1, …,ni) member of the ith (i = 1, …,K) family/cluster. Suppose that xij = (xij1, …,xijp)′ is the p-dimensional covariate vector associated with the binary response yij. For example, in a chronic obstructive pulmonary disease (COPD) study, yij denotes the impaired pulmonary function (IPF) status (yes or no), and xij is the vector of covariates such as gender, race, age, and smoking status, for the jth sibling of the ith COPD patient. Note that in this problem it is likely that the IPF status for ni siblings of the ith patient may be influenced by an unobservable random effect (γi) due to the ith COPD patient.
Chronic Obstructive Pulmonary Disease Chronic Obstructive Pulmonary Disease Patient Generalize Linear Mixed Model Binary Data Asymptotic Variance
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