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D- and V-optimal population designs for the quadratic regression model with a random intercept term
- Source :
-
Journal of Statistical Planning & Inference . Feb2011, Vol. 141 Issue 2, p889-898. 10p. - Publication Year :
- 2011
-
Abstract
- 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 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03783758
- Volume :
- 141
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Statistical Planning & Inference
- Publication Type :
- Academic Journal
- Accession number :
- 54487913
- Full Text :
- https://doi.org/10.1016/j.jspi.2010.08.011