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Optimal design for linear regression models in the presence of heteroscedasticity caused by random coefficients
Authors:Ulrike GraßhoffAnna Doebler  Heinz HollingRainer Schwabe
Institution:a Otto-von-Guericke University, Institute for Mathematical Stochastics, PF 4120, D-39 016 Magdeburg, Germany
b Westfälische Wilhelms-Universität, Psychologisches Institut IV, Fliednerstr. 21, D-48 149 Münster, Germany
Abstract:Random coefficients may result in heteroscedasticity of observations. For particular situations, where only one observation is available per individual, we derive optimal designs based on the geometry of the design locus.
Keywords:Optimal design  Linear mixed model  Random coefficient regression
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