Some properties of β -wordlength pattern for four-level designs

Verfasser / Beitragende:
[Wei Sheng, Xia Li, Yu Tang]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Mathematica Sinica, English Series, 31/7(2015-07-01), 1163-1170
Format:
Artikel (online)
ID: 605461376
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024 7 0 |a 10.1007/s10114-015-3616-y  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10114-015-3616-y 
245 0 0 |a Some properties of β -wordlength pattern for four-level designs  |h [Elektronische Daten]  |c [Wei Sheng, Xia Li, Yu Tang] 
520 3 |a Fractional factorial designs have played a prominent role in the theory and practice of experimental design. For designs with qualitative factors under an ANOVA model, the minimum aberration criterion has been frequently used; however, for designs with quantitative factors, a polynomial regression model is often established, thus the β-wordlength pattern can be employed to compare different fractional factorial designs. Although the β-wordlength pattern was introduced in 2004, its properties have not been investigated extensively. In this paper, we will present some properties of β-wordlength pattern for four-level designs. These properties can help find better designs with quantitative factors. 
540 |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 
690 7 |a β -wordlength pattern  |2 nationallicence 
690 7 |a four-level  |2 nationallicence 
690 7 |a fractional factorial design  |2 nationallicence 
700 1 |a Sheng  |D Wei  |u School of Mathematical Sciences, Soochow University, 215006, Suzhou, P. R. China  |4 aut 
700 1 |a Li  |D Xia  |u School of Mathematical Sciences, Soochow University, 215006, Suzhou, P. R. China  |4 aut 
700 1 |a Tang  |D Yu  |u School of Mathematical Sciences, Soochow University, 215006, Suzhou, P. R. China  |4 aut 
773 0 |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/7(2015-07-01), 1163-1170  |x 1439-8516  |q 31:7<1163  |1 2015  |2 31  |o 10114 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
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949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
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950 |B NATIONALLICENCE  |P 700  |E 1-  |a Sheng  |D Wei  |u School of Mathematical Sciences, Soochow University, 215006, Suzhou, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Li  |D Xia  |u School of Mathematical Sciences, Soochow University, 215006, Suzhou, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Tang  |D Yu  |u School of Mathematical Sciences, Soochow University, 215006, Suzhou, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/7(2015-07-01), 1163-1170  |x 1439-8516  |q 31:7<1163  |1 2015  |2 31  |o 10114