Selecting optimal follow-up split-plot designs
| dc.contributor.author | Yang, Bowei | |
| dc.contributor.examiningcommittee | Xikui Wang (Statistics) Xuemiao Hao (Actuary) | en_US |
| dc.contributor.examiningcommittee | Wang, Xikui (Statistics) Hao, Xuemiao (Actuary) | en_US |
| dc.contributor.supervisor | Yang, Po (Statistics) | en_US |
| dc.date.accessioned | 2019-09-13T14:20:32Z | |
| dc.date.available | 2019-09-13T14:20:32Z | |
| dc.date.issued | 2019 | en_US |
| dc.date.submitted | 2019-08-16T18:44:26Z | en |
| dc.degree.discipline | Statistics | en_US |
| dc.degree.level | Master of Science (M.Sc.) | en_US |
| dc.description.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. | en_US |
| dc.description.note | October 2019 | en_US |
| dc.identifier.uri | http://hdl.handle.net/1993/34251 | |
| dc.language.iso | eng | en_US |
| dc.rights | open access | en_US |
| dc.subject | Optimal Designs, Split-Plot Designs, Follow-Up Designs. | en_US |
| dc.title | Selecting optimal follow-up split-plot designs | en_US |
| dc.type | master thesis | en_US |