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Activity Number:
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368
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Type:
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Contributed
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Date/Time:
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Tuesday, August 4, 2009 : 2:00 PM to 3:50 PM
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Sponsor:
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Section on Quality and Productivity
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| Abstract - #304656 |
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Title:
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Additive Models in Regression Problems
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Author(s):
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Mehdi Kiani*+
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Companies:
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Athens University of Economics and Business
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Address:
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21, Ag. Konstantinou St., Athens, , Greece
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Keywords:
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Optimum designs ; Augmenting Data ; Orthogonality
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Abstract:
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Two strategies are presented for specifying additional data to be included with the data of a non-orthogonal design. The additional data increase the magnitude of the information matrix X'X and the orthogonality of the design matrix. Sequentially, the new points are augmented to the original design, such that each new point optimally increases the smallest eigenvalue of X'X. The new runs are created in either a predefined spherical or rectangular region. Optimum number of additional observations is presented in order to orthogonalize the design matrix X and optimize some function of the information matrix X'X. Comparisons of the results acquired with the proposed methods versus the most commonly used procedures for data augmentation are carried out. In addition, the advantages of the use of our techniques over the studied methods to solve the augmenting data problems are discussed.
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