Type of Document	Dissertation
Author	Neff, Angela R.
URN	etd-155317220973210
Title	Bayesian Two Stage Design Under Model Uncertainty
Degree	PhD
Department	Statistics
Advisory Committee	Advisor Name Title Keying Ye Committee Co-Chair Raymond Myers Committee Co-Chair Jesse Arnold none Marvin Lentner none Robert Foutz none
Keywords	bayesian design optimality response surface two stage design
Date of Defense	1997-01-16
Availability	unrestricted
Abstract procedures can be used to efficiently generate data for an assumed model. The model assumptions include the model form, the set of regressors and the error distribution. The nature of the response often provides information about the model form and the error distribution. It is more difficult to know, apriori, the specific set of regressors which will best explain the relationship between the response and a set of design (control) variables. Misspecification of regressors will result in a design which is efficient, but for the wrong model. A Bayesian two stage design approach makes it possible to efficiently design experiments when initial regressor knowledge is poor. This is accomplished by using a Bayesian optimality criterion in the first stage which is robust to model uncertainty. Bayesian analysis of first stage data reduces regressor uncertainty, enabling the remaining design points (second stage design) to be chosen with greater efficiency. The second stage design is then generated from an optimality procedure which incorporates the improved model knowledge. Using this approach, numerous two stage design procedures have been developed for the normal linear model. Extending this concept, a Bayesian design augmentation procedure has been developed for the purpose of efficiently obtaining data for variance modeling, when initial knowledge of the variance model is poor.
Files	Filename       Size       Approximate Download Time (Hours:Minutes:Seconds)     28.8 Modem   56K Modem   ISDN (64 Kb)   ISDN (128 Kb)   Higher-speed Access    DISSAA.pdf 417.18 Kb 00:01:55 00:00:59 00:00:52 00:00:26 00:00:02   etd.pdf 417.18 Kb 00:01:55 00:00:59 00:00:52 00:00:26 00:00:02

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