Two-level screening designs derived from binary nonlinear codes
| Autor: | Tena I. Katsaounis, M.L. Aggarwal |
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| Rok vydání: | 2016 |
| Předmět: |
Statistics and Probability
Discrete mathematics Optimal design Plackett–Burman design Yates analysis Binary number Fractional factorial design 020206 networking & telecommunications 02 engineering and technology Bayesian inference 01 natural sciences 010104 statistics & probability Nonlinear system 0202 electrical engineering electronic engineering information engineering 0101 mathematics Hamming code Algorithm Mathematics |
| Zdroj: | Journal of the Korean Statistical Society. 45:210-220 |
| ISSN: | 1226-3192 |
| DOI: | 10.1016/j.jkss.2015.10.001 |
| Popis: | Nonregular fractional factorial designs can provide economical designs in screening experiments. In this paper, two criteria are proposed for evaluating the projectivity and uniformity properties of projections onto active factors in two-level nonregular fractional factorial designs. Moreover, two-level nonregular fractional factorial designs derived from binary nonlinear codes with 12, 24, 32 and 40 codewords and various lengths are evaluated using the new criteria. Such designs are also evaluated under the known E ( s 2 ) criterion for optimal designs in screening experiments, and are compared to Plackett–Burman designs or to projections of Plackett–Burman designs. Results show that some binary nonlinear codes can provide useful two-level nonregular fractional factorial designs in screening experiments. A search method is proposed for finding good designs with a large number of factors, starting from a good design with the same number of runs but with a smaller number of factors. |
| Databáze: | OpenAIRE |
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