IDEAS home Printed from https://ideas.repec.org/a/spr/metrik/v78y2015i8p953-965.html
   My bibliography  Save this article

Mixed-level designs with resolution III or IV containing clear two-factor interaction components

Author

Listed:
  • Qianqian Zhao
  • Shengli Zhao

Abstract

Mixed-level designs are widely used in factorial experiments. Clear effects criterion is one of the important rules for selecting optimal fractional factorial designs. It is highly desirable to know when mixed-level designs with resolution III or IV can have clear two-factor interaction components. This paper considers mixed-level designs with one or two high-level factors and some two-level factors, denoted as $$(2^{r})\times 2^n$$ ( 2 r ) × 2 n and $$(2^{r_1})\times (2^{r_2})\times 2^n$$ ( 2 r 1 ) × ( 2 r 2 ) × 2 n , respectively, and gives a complete classification of the existence of clear two-factor interaction components in such designs with resolution III or IV. The results reveal the structures of these designs. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Qianqian Zhao & Shengli Zhao, 2015. "Mixed-level designs with resolution III or IV containing clear two-factor interaction components," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 78(8), pages 953-965, November.
    • Handle: RePEc:spr:metrik:v:78:y:2015:i:8:p:953-965
    DOI: 10.1007/s00184-015-0535-y
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00184-015-0535-y
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s00184-015-0535-y?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. S. Zhao & R. Zhang, 2008. "2 m 4 n designs with resolution III or IV containing clear two-factor interaction components," Statistical Papers, Springer, vol. 49(3), pages 441-454, July.
    2. Li, Peng-Fei & Chen, Bao-Jiang & Liu, Min-Qian & Zhang, Run-Chu, 2006. "A note on minimum aberration and clear criteria," Statistics & Probability Letters, Elsevier, vol. 76(10), pages 1007-1011, May.
    3. Xue-Min Zi & Min-Qian Liu & Run-Chu Zhang, 2007. "Asymmetrical Factorial Designs Containing Clear Effects," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 65(1), pages 123-131, February.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Zhang, Tianfang & Jiang, Junyu & Li, Zhiming, 2018. "Some families of asymmetric nested orthogonal arrays and asymmetric sliced orthogonal arrays," Statistics & Probability Letters, Elsevier, vol. 141(C), pages 109-113.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jin-Guan Lin & Xue-Ping Chen & Jian-Feng Yang & Xing-Fang Huang & Ying-Shan Zhang, 2015. "Generalized variable resolution designs," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 78(7), pages 873-884, October.
    2. Xue-Min Zi & Min-Qian Liu & Run-Chu Zhang, 2007. "Asymmetrical Factorial Designs Containing Clear Effects," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 65(1), pages 123-131, February.
    3. Xiaoxue Han & Jianbin Chen & Min-Qian Liu & Shengli Zhao, 2020. "Asymmetrical split-plot designs with clear effects," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 83(7), pages 779-798, October.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:metrik:v:78:y:2015:i:8:p:953-965. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.