Electronic Resource
Springer
Annals of the Institute of Statistical Mathematics
51 (1999), S. 723-730
ISSN:
1572-9052
Keywords:
A-optimal designs
;
additive models
;
continuous designs
;
interaction
;
k-way layout
;
marginal models
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract We provide lower efficiency bounds for the best product design for an additive multifactor linear model. The A-optimality criterion is used to demonstrate that out bounds are better than the conventional bounds. Applications to other criteria, such as IMSE (integrated mean squared error) criterion are also indicated. In all the cases, the best product design appears to perform better when there are more levels in each factor but decreases when more factors are included. Explicit efficiency formulas for non-additive models are also constructed.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1004087314831
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