D-optimal population designs for the simple linear random coefficients regression model

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Authors

Debusho, Legesse Kassa
Haines, Linda M.

Journal Title

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Volume Title

Publisher

South African Statistical Association

Abstract

In 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.

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Keywords

Linear regression, Random coefficients, Information matrix, Population designs, D-optimality

Sustainable Development Goals

Citation

Debusho, 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.