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

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dc.contributor.author Debusho, Legesse Kassa
dc.contributor.author Haines, Linda M.
dc.date.accessioned 2012-02-27T12:56:36Z
dc.date.available 2012-02-27T12:56:36Z
dc.date.issued 2010-11
dc.description.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. en
dc.description.librarian nf2012 en
dc.description.uri http://www.sastat.org.za/journal.htm en_US
dc.identifier.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. en
dc.identifier.issn 0038-271X
dc.identifier.uri http://hdl.handle.net/2263/18247
dc.language.iso en en_US
dc.publisher South African Statistical Association en_US
dc.rights South African Statistical Association en
dc.subject Linear regression en
dc.subject Random coefficients en
dc.subject Information matrix en
dc.subject Population designs en
dc.subject D-optimality en
dc.subject.lcsh Regression analysis en
dc.subject.lcsh Multilevel models (Statistics) en
dc.title D-optimal population designs for the simple linear random coefficients regression model en
dc.type Article en


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