Abstract
Marginal generalized linear model (MGLM) is a popular instrument for studying longitudinal and cluster data. This paper investigates an estimator for regression coefficients in MGLM, which incorporates subgroup auxiliary information. We propose to use the conditional expectation of the response in each subgroup as auxiliary information, and combine that information with the estimating equations of the quadratic inference function (QIF) method based on the framework of generalized method of moments (GMM). The asymptotic normality and test statistics of the proposed estimator are established, which indicate that the estimator of the proposed estimator is more efficient than the QIF one. Simulation studies are carried out to examine the performance of the proposed method under finite sample sizes, and an education data is used to illustrate our approach.
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