Abstract
This research presents a generalized likelihood approach to estimate the parameters in a longitudinal linear mixed-effects model. In our model, we consider measurement error and misclassification in the covariates. Through simulation studies, we observe the impact of each parameter of the model on the bias of the naive estimation that ignores the errors in the covariates.
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References
Fuller, W.A.: Measurement Error Models, vol. 305. John Wiley and Sons (2009)
Carroll, R.J., David, R., Stefanski, L.A., Ciprian, M.C.: Measurement Error in Nonlinear Models: A Modern Perspective. CRC Press (2012)
Bounaccorsi, J.P.: Measurement Error: Models, Methods and Applications. CRC Press (2010)
Dakos, V., Carpenter, S.R., Brock, W.A., Ellison, A.M., Guttal, V., Ives, A.R., Scheffer, M. et al.: Methods for detecting early warnings of critical transitions in time series illustrated using simulated ecological data. PLoS One 7(7), e41010 (2012)
Zhang, X., Zhang, T., Young, A.A., Li, X.: Applications and comparisons of four time series models in epidemiological surveillance data. PloS One 9(2), e88075 (2014)
Nelder, J., Wedderburn, R.: Generalized linear models. J. R. Stat. Soc. Ser. A (General) (Blackwell Publishing) 135(3), (1972)
McCulloch, C.E., Neuhaus, J.M.: Generalized Linear Mixed Models. John Wiley and Sons, Ltd (2001)
Li, J.: A Study of Bias in the Naive Estimator in Longitudinal Linear Mixed-Effects Models with Measurement Error and Misclassification in Covariates, Master’s Dissertation. Memorial University (2014)
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Li, J., Dankwa, E., Abarin, T. (2016). Bias Study of the Naive Estimator in a Longitudinal Linear Mixed-Effects Model with Measurement Error and Misclassification in Covariates. In: Anastassiou, G., Duman, O. (eds) Intelligent Mathematics II: Applied Mathematics and Approximation Theory. Advances in Intelligent Systems and Computing, vol 441. Springer, Cham. https://doi.org/10.1007/978-3-319-30322-2_23
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DOI: https://doi.org/10.1007/978-3-319-30322-2_23
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