Debusho, Legesse KassaHaines, Linda M.2012-02-272012-02-272010-11Debusho, LK & Haines, LM 2010, 'D-optimal population designs for the simple linear random coefficients regression model', South African Statistical Journal, no. 1, pp. 52-59.0038-271Xhttp://hdl.handle.net/2263/18247In this paper D-optimal population designs for the simple linear random coefficients regression model with values of the explanatory variable taken from a set of equally spaced, non-repeated time points are considered. The D-optimal designs depend on the values of the variance components and locally optimal designs are therefore considered. It is shown that, if the time points are linearly transformed, then the D-optimal population designs for both the fixed effects and the variance components do not necessarily map onto one another. This result is illustrated numerically by means of a simple example.enSouth African Statistical AssociationLinear regressionRandom coefficientsInformation matrixPopulation designsD-optimalityRegression analysisMultilevel models (Statistics)Article