dc.contributor.author |
Debusho, Legesse Kassa
|
|
dc.contributor.author |
Haines, Linda M.
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|
dc.date.accessioned |
2011-08-05T12:23:06Z |
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dc.date.available |
2011-08-05T12:23:06Z |
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dc.date.issued |
2011-02 |
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dc.description.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. |
en |
dc.description.sponsorship |
Financial support from the following : University of Pretoria, through a research
grant provided by the Research Development Programme and the The University of KwaZulu-Natal, the University of Cape Town and the National Research Foundation, South Africa. |
en_US |
dc.description.uri |
www.elsevier.com/locate/jspi |
en_US |
dc.identifier.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. |
en |
dc.identifier.issn |
0378-3758 (print) |
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dc.identifier.issn |
1873-1171 (online) |
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dc.identifier.other |
10.1016/j.jspi.2010.08.011 |
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dc.identifier.uri |
http://hdl.handle.net/2263/17010 |
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dc.language.iso |
en |
en_US |
dc.publisher |
Elsevier B.V. |
en_US |
dc.rights |
© 2011 Elsevier B.V. All rights reserved |
en_US |
dc.subject |
Quadratic regression |
en |
dc.subject |
Random intercept |
en |
dc.subject |
Population designs |
en |
dc.subject |
D- and V-optimality |
en |
dc.title |
D- and V-optimal population designs for the quadratic regression model with a random intercept term |
en |
dc.type |
Postprint Article |
en |