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One-eighth- and one-sixteenth-fraction quaternary code designs with high resolution |
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| Authors: | Frederick KH Phoa Rahul MukerjeeHongquan Xu |
| Institution: | a Institute of Statistical Science, Academia Sinica, Taipei 115, Taiwan ROC b Indian Institute of Management Calcutta, Joka, Diamond Harbour Road, Kolkata 700 104, India c Department of Statistics, University of California, Los Angeles, CA 90095-1554, USA |
| Abstract: | The development of a general methodology for the construction of good two-level nonregular designs has received significant attention over the last 10 years. Recent works by Phoa and Xu (2009) and Zhang et al. (2011) indicate that quaternary code (QC) designs are very promising in this regard. This paper explores a systematic construction for 1/8th and 1/16th fraction QC designs with high resolution for any number of factors. The 1/8th fraction QC designs often have larger resolution than regular designs of the same size. A majority of the 1/16th fraction QC designs also have larger resolution than comparable two-level regular designs. |
| Keywords: | Aliasing index Fractional factorial design Generalized minimum aberration Generalized resolution Nonregular design Quaternary code design |
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