Debusho, Legesse KassaHaines, Linda M.2011-08-052011-08-052011-02Debusho, LK & Haines, LM 2011, 'D- and V-optimal population designs for the quadratic regression model with a random intercept term', Journal of Statistical Planning and Interence, vol. 141, no. 2, pp. 889-898.0378-3758 (print)1873-1171 (online)10.1016/j.jspi.2010.08.011http://hdl.handle.net/2263/17010In this paper D- and V-optimal population designs for the quadratic regression model with a random intercept term and with values of the explanatory variable taken from a set of equally spaced, non-repeated time points are considered. D-optimal population designs based on single-point individual designs were readily found but the derivation of explicit expressions for designs based on two-point individual designs was not straightforward and was complicated by the fact that the designs now depend on ratio of the variance components. Further algebraic results pertaining to d-point D-optimal population designs where dZ3 and to V-optimal population designs proved elusive. The requisite designs can be calculated by careful programming and this is illustrated by means of a simple example.en© 2011 Elsevier B.V. All rights reservedQuadratic regressionRandom interceptPopulation designsD- and V-optimalityPostprint Article