Some properties of β -wordlength pattern for four-level designs
Gespeichert in:
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)
Online Zugang:
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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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| 908 | |D 1 |a research-article |2 jats | ||
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| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10114-015-3616-y |q text/html |z Onlinezugriff via DOI | ||
| 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 | ||