The analysis of longitudinal data using mixed model L-splines |
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| Authors: | Welham Sue J Cullis Brian R Kenward Michael G Thompson Robin |
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| Institution: | Rothamsted Research, Harpenden AL5 2JQ, U.K.;Wagga Agricultural Institute, Wagga Wagga, NSW 2650, Australia;London School of Hygiene and Tropical Medicine, London WC1E 7HT, U.K. |
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| Abstract: | Summary . L-splines are a large family of smoothing splines defined in terms of a linear differential operator. This article develops L-splines within the context of linear mixed models and uses the resulting mixed model L-spline to analyze longitudinal data from a grassland experiment. In the spirit of time-series analysis, a periodic mixed model L-spline is developed, which partitions data into a smooth periodic component plus smooth long-term trend. |
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| Keywords: | Longitudinal data L-splines Mixed models Residual maximum likelihood Smoothing splines |
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