D-optimal population designs for the simple linear random coefficients regression model
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Date
Authors
Debusho, Legesse Kassa
Haines, Linda M.
Journal Title
Journal ISSN
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.
Description
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.