Title page for etd-0706104-143114


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URN etd-0706104-143114
Author Shih-hao Huang
Author's Email Address No Public.
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Department Applied Mathematics
Year 2003
Semester 2
Degree Master
Type of Document
Language English
Title Model robust designs for binary response experiments
Date of Defense 2004-06-04
Page Count 46
Keyword
  • Binary response
  • symmetric location and scale family
  • mean square error
  • bias
  • $mB_2$ design
  • D-efficiency
  • A-efficiency
  • Abstract The binary response experiments are often used in many areas. In many investigations, different kinds of optimal designs are discussed under an assumed model. There are also some discussions on optimal designs for discriminating models. The main goal in this work is to find an optimal design with two support points which minimizes the maximal probability differences between possible models from two types of symmetric location and scale families. It is called the minimum bias two-points design, or the $mB_2$ design in short here. D- and A-efficiencies of the $mB_2$ design obtained here are evaluated under an assumed model. Furthermore, when the assumed model is incorrect, the biases and the mean square errors in evaluating the true probabilities are computed and compared with that by using the D- and A-optimal designs for the incorrectly assumed model.
    Advisory Committee
  • Fu-Chuen Chang - chair
  • Mei-Hui Guo - co-chair
  • Ray-Bing Chen - co-chair
  • Mong-Na Lo Huang - advisor
  • Files
  • etd-0706104-143114.pdf
  • indicate accessible in a year
    Date of Submission 2004-07-06

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