Selecting optimal follow-up split-plot designs
Date
2019
Authors
Yang, Bowei
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Abstract
Split-plot designs and follow-up designs have been considered in literature for many years. However, no research has been done on selecting optimal follow-up split-plot designs for response surface methodology. In this thesis, we will find optimal follow-up split-plot designs. We modify Pareto-based coordinate exchange algorithm and apply it to follow-up split-plot designs. The algorithm allows for selecting optimal follow-up designs based on multiple criteria under user-specified models. We use DP- and I-criteria to select optimal follow-up split-plot designs. D$_{s}$ criterion and potential bias caused by model misspecification are also considered to further select optimal designs. Examples are given to illustrate the methods of selecting follow-up designs. Different follow-up run sizes are considered. Comparisons are made among the combined designs with the same follow-up run size.
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Keywords
Optimal Designs, Split-Plot Designs, Follow-Up Designs.