D- and V-optimal population designs for the quadratic regression model with a random intercept term

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Authors

Debusho, Legesse Kassa
Haines, Linda M.

Journal Title

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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.

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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.