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Optimal design for linear regression models in the presence of heteroscedasticity caused by random coefficients
Authors:Ulrike Graß  hoffAnna Doebler,Heinz HollingRainer Schwabe
Affiliation: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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