IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v69y2004i2p161-170.html
   My bibliography  Save this article

Multistratum fractional factorial split-plot designs with minimum aberration and maximum estimation capacity

Author

Listed:
  • Ai, Mingyao
  • Zhang, Runchu

Abstract

This paper introduces minimum secondary aberration (MSA) and maximum secondary estimation capacity (MSEC) criteria for discriminating among rival nonisomorphic regular multistratum fractional factorial split-plot (FFSP) designs. Some general rules for identifying MSA or MSEC multistratum FFSP designs through their consulting designs are also established. It is an improvement and generalization of the related results in (Statist. Sinica 12 (2002) 885). The comparison between the MSEC criterion and that of Mukerjee and Fang (2002) is briefly given.

Suggested Citation

  • Ai, Mingyao & Zhang, Runchu, 2004. "Multistratum fractional factorial split-plot designs with minimum aberration and maximum estimation capacity," Statistics & Probability Letters, Elsevier, vol. 69(2), pages 161-170, August.
    • Handle: RePEc:eee:stapro:v:69:y:2004:i:2:p:161-170
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-7152(04)00171-3
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. C.‐S. Cheng & D. M. Steinberg & D. X. Sun, 1999. "Minimum aberration and model robustness for two‐level fractional factorial designs," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 61(1), pages 85-93.
    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. Yan, Zhaohui & Zhao, Shengli, 2023. "Optimal fractions of three-level factorials under a baseline parameterization," Statistics & Probability Letters, Elsevier, vol. 202(C).
    2. Li, Zhiming & Zhao, Shengli & Zhang, Runchu, 2015. "On general minimum lower order confounding criterion for s-level regular designs," Statistics & Probability Letters, Elsevier, vol. 99(C), pages 202-209.

    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. A. M. Elsawah, 2021. "Multiple doubling: a simple effective construction technique for optimal two-level experimental designs," Statistical Papers, Springer, vol. 62(6), pages 2923-2967, December.
    2. Mike Jacroux, 2007. "Maximal Rank Minimum Aberration Foldover Plans for 2 m-k Fractional Factorial Designs," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 65(2), pages 235-242, February.
    3. Peng-Fei Li & Min-Qian Liu & Run-Chu Zhang, 2007. "2 m 4 1 designs with minimum aberration or weak minimum aberration," Statistical Papers, Springer, vol. 48(2), pages 235-248, April.
    4. 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.
    5. Minyang Hu & Shengli Zhao, 2022. "Minimum Aberration Split-Plot Designs Focusing on the Whole Plot Factors," Mathematics, MDPI, vol. 10(5), pages 1-12, February.
    6. Fasheng Sun & Boxin Tang, 2017. "A Method of Constructing Space-Filling Orthogonal Designs," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 112(518), pages 683-689, April.
    7. Nairanjana Dasgupta & Mike Jacroux & Rita SahaRay, 2010. "Partially replicated fractional factorial designs," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 71(3), pages 295-311, May.
    8. Li, Zhiming & Zhao, Shengli & Zhang, Runchu, 2015. "On general minimum lower order confounding criterion for s-level regular designs," Statistics & Probability Letters, Elsevier, vol. 99(C), pages 202-209.
    9. Ghosh, Subir & Tian, Ying, 2006. "Optimum two level fractional factorial plans for model identification and discrimination," Journal of Multivariate Analysis, Elsevier, vol. 97(6), pages 1437-1450, July.
    10. Qiming Bai & Hongyi Li & Shixian Zhang & Jiezhong Tian, 2023. "Design Efficiency of the Asymmetric Minimum Projection Uniform Designs," Mathematics, MDPI, vol. 11(3), pages 1-20, February.
    11. Satoshi Aoki, 2010. "Some optimal criteria of model-robustness for two-level non-regular fractional factorial designs," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 62(4), pages 699-716, August.
    12. SCHOEN, Eric D. & NGUYEN, Man V.M., 2007. "Enumeration and classification of orthogonal arrays," Working Papers 2007021, University of Antwerp, Faculty of Business and Economics.
    13. Grömping, Ulrike, 2014. "R Package FrF2 for Creating and Analyzing Fractional Factorial 2-Level Designs," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 56(i01).
    14. Angelopoulos, P. & Koukouvinos, C., 2007. "Maximum estimation capacity projection designs from Hadamard matrices with 32, 36 and 40 runs," Statistics & Probability Letters, Elsevier, vol. 77(2), pages 220-229, January.
    15. Zhiming Li & Zhidong Teng & Tianfang Zhang & Runchu Zhang, 2016. "Analysis on $$s^{n-m}$$ s n - m designs with general minimum lower-order confounding," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 100(2), pages 207-222, April.
    16. Qin, Hong & Chen, Yin-Bao, 2004. "Some results on generalized minimum aberration for symmetrical fractional factorial designs," Statistics & Probability Letters, Elsevier, vol. 66(1), pages 51-57, January.

    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:eee:stapro:v:69:y:2004:i:2:p:161-170. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description .

    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.