A generalized Q-Q plot for longitudinal data

作者：Pardo M C; Alonso R^*

来源：Journal of Applied Statistics, 2012, 39(11): 2349-2362.

DOI：10.1080/02664763.2012.710896

• longitudinal data
• generalized estimating equations
• generalized residual
• Q-Q plot

Most biomedical research is carried out using longitudinal studies. The method of generalized estimating equations (GEEs) introduced by Liang and Zeger [Longitudinal data analysis using generalized linear models, Biometrika 73 (1986), pp. 13-22] and Zeger and Liang [Longitudinal data analysis for discrete and continuous outcomes, Biometrics 42 (1986), pp. 121-130] has become a standard method for analyzing non-normal longitudinal data. Since then, a large variety of GEEs have been proposed. However, the model diagnostic problem has not been explored intensively. Oh et al. [Modeldiagnostic plots for repeated measures data using the generalized estimating equations approach, Comput. Statist. Data Anal. 53 (2008), pp. 222-232] proposed residual plots based on the quantile-quantile (Q-Q) plots of the chi(2)-distribution for repeated-measures data using the GEE methodology. They considered the Pearson, Anscombe and deviance residuals. In this work, we propose to extend this graphical diagnostic using a generalized residual. A simulation study is presented as well as two examples illustrating the proposed generalized Q-Q plots.

• 出版日期2012