Title
Optimal design of blocked and split-plot experiments for fixed effects and variance component estimation Optimal design of blocked and split-plot experiments for fixed effects and variance component estimation
Author
Faculty/Department
Faculty of Applied Economics
Publication type
article
Publication
Washington, D.C. ,
Subject
Economics
Mathematics
Engineering sciences. Technology
Source (journal)
Technometrics : a journal of statistics for the physical, chemical, and engineering sciences. - Washington, D.C., 1959, currens
Volume/pages
56(2014) :2 , p. 132-144
ISSN
0040-1706
1537-2723
ISI
000335957600002
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
In general, modeling data from blocked and split-plot response surface experiments requires the use of generalized least squares and the estimation of two variance components. The literature on the optimal design of blocked and split-plot response surface experiments, however, focuses entirely on the precise estimation of the fixed factor effects and completely ignores the necessity to estimate the variance components as well. To overcome this problem, we propose a new Bayesian optimal design criterion which focuses on both the variance components and the fixed effects. A novel feature of the criterion is that it incorporates prior information about the variance components through log-normal or beta prior distributions. The resulting designs allow for a more powerful statistical inference than traditional optimal designs. In our algorithm for generating optimal blocked and split-plot designs, we implement efficient quadrature approaches for the numerical approximation of the new optimal design criterion. Supplementary materials for this article are available online. KEY WORDS: Blocked
E-info
https://repository.uantwerpen.be/docman/iruaauth/b81d0a/4b53d86c9c2.pdf
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