Regression Estimation for Longitudinal Data with Nonignorable Intermittent Nonresponse and Dropout

Abstract

We mainly focus on regression estimation in a longitudinal study with nonignorable intermittent nonresponse and dropout. To handle the identifiability issue, we take a time-independent covariate as nonresponse instrument which is independent of nonresponse propensity conditioned on other covariates and responses to ensure the identifiability of nonresponse propensity. The nonresponse propensity is assumed to be a parametric model, and the corresponding parameters are estimated by using the generalized method of moments approach. Then the marginal response means are estimated by inverse probability weighting method. Furthermore, to improve the robustness of estimators, we derive an augmented inverse probability weighting estimator which is shown to be consistent and asymptotically normally distributed. Simulation studies and a real-data analysis show that the proposed approach yields highly efficient estimators.

Keywords

Dropout / Generalized method of moments / Inverse probability weighting / Intermittent nonresponse / Longitudinal data

Funding

Key Research and Development Plan(2016YFC0800100)

National Natural Science Foundation of China(11671374)

National Natural Science Foundation of China(71631006)