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NSYSU

1. Chiou, Guo-huai. Robust Run Order for Experimental Designs in Simple Linear Regression with MA Errors.

Degree: Master, Applied Mathematics, 2004, NSYSU

In this work, a method to choose the best run order for a given experimental design is proposed, for the simple linear regression model with MA errors. More specifically we investigate the best run order of an uniform design when errors follow a MA(1) or a subset MA(k) process where k is a positive integer. The correlation matrix P resulting from the errors is usually difficult to obtain a good estimate. Using the change of variance function(CVF) to see the relation of the uncorrelated and the serially correlated errors. Criterion proposed by Zhou (2001), we find the best run order of the uniform design on [-1,1] to minimize the robust criterion, |CVF|. We will display the permutation of a run order after rearrangement by our method and show how the structure is decomposed into three categories to solve the problem. Advisors/Committee Members: Fu-Chuen Chang (chair), Mei-hui Guo (chair), Ray-bing Chen (chair), Mong-Na Lo Huang (committee member).

Subjects/Keywords: Change of variance function; Correlation matrix; Best run order; Uniform design; MA process

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Chiou, G. (2004). Robust Run Order for Experimental Designs in Simple Linear Regression with MA Errors. (Thesis). NSYSU. Retrieved from http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0716104-170546

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Chiou, Guo-huai. “Robust Run Order for Experimental Designs in Simple Linear Regression with MA Errors.” 2004. Thesis, NSYSU. Accessed October 15, 2019. http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0716104-170546.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Chiou, Guo-huai. “Robust Run Order for Experimental Designs in Simple Linear Regression with MA Errors.” 2004. Web. 15 Oct 2019.

Vancouver:

Chiou G. Robust Run Order for Experimental Designs in Simple Linear Regression with MA Errors. [Internet] [Thesis]. NSYSU; 2004. [cited 2019 Oct 15]. Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0716104-170546.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Chiou G. Robust Run Order for Experimental Designs in Simple Linear Regression with MA Errors. [Thesis]. NSYSU; 2004. Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0716104-170546

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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