Abstract
This chapter presents the Partitioned GMM marginal model estimates for time-dependent covariates. It utilizes a recent test for valid moment conditions. Instead of grouping the valid moment conditions to obtain an average effect of the covariate on the response, a partitioning of the moment conditions is explored. This partitioning produces extra regression parameters for each covariate, with insight into each of the time-varying relationships inherent to longitudinal data. The moment conditions are grouped based on the time lag between the covariate and the response. Assume that the observations are correlated and the moment conditions are identified.
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References
Carpenter, A. (2016). Carpenter’s complete guide to the SAS macro language (3rd ed.). Cary, NC: SAS Institute.
Diggle, P., Heagerty, P., Liang, K.-Y., & Zeger, S. L. (2002). Analysis of longitudinal data. Oxford: Oxford University Press.
Harris, K. M., & Udry, J. R. (2016). National Longitudinal Study of Adolescent to Adult Health (Add Health), 1994-2008 [Public Use]. In: Inter-university Consortium for Political and Social Research (ICPSR) [distributor].
Irimata, K. M., Broatch, J., & Wilson, J. R. (2019). Partitioned GMM logistic regression models for longitudinal data. Statistics in Medicine, 38(12), 2171–2183.
Jencks, S. F., Williams, M. V., & Coleman, E. A. (2009). Rehospitalization among patients in the Medicare fee-for-service program. The New England Journal of Medicine, 360(14), 1418–1428.
Lai, T. L., & Small, D. (2007). Marginal regression analysis of longitudinal data with time-dependent covariates: A generalised method of moments approach. Journal of the Royal Statistical Society, Series B, 69(1), 79–99.
Lalonde, T. L., Wilson, J. R., & Yin, J. (2014). GMM logistic regression models for longitudinal data with time-dependent covariates. Statistics in Medicine, 33(27), 4756–4769.
Pepe, M., & Anderson, J. (1994). A cautionary note on inference for marginal regression models with longitudinal data and general correlated response data. Communications in Statistics: Simulation and Computation, 23(4), 939–951.
Stoner, J. A., Leroux, B. G., & Puumala, M. (2010). Optimal combination of estimating equations in the analysis of multilevel nested correlated data. Statistics in Medicine, 29(4), 464–473.
Zeger, S. L., & Liang, K.-Y. (1986). Longitudinal data analysis for discrete and continuous outcomes. Biometrics, 42(1), 121–130.
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Wilson, J.R., Vazquez-Arreola, E., Chen, (.DG. (2020). Partitioned GMM Logistic Regression Models for Longitudinal Data. In: Marginal Models in Analysis of Correlated Binary Data with Time Dependent Covariates. Emerging Topics in Statistics and Biostatistics . Springer, Cham. https://doi.org/10.1007/978-3-030-48904-5_5
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DOI: https://doi.org/10.1007/978-3-030-48904-5_5
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