D- and V-optimal population designs for the quadratic regression model with a random intercept term
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Date
Authors
Debusho, Legesse Kassa
Haines, Linda M.
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier B.V.
Abstract
In 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.
Description
Keywords
Quadratic regression, Random intercept, Population designs, D- and V-optimality
Sustainable Development Goals
Citation
Debusho, 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.