IDEAS home Printed from https://ideas.repec.org/a/eee/csdana/v54y2010i12p3381-3391.html
   My bibliography  Save this article

Update formulas for split-plot and block designs

Author

Listed:
  • Arnouts, Heidi
  • Goos, Peter

Abstract

For the algorithmic construction of optimal experimental designs, it is important to be able to evaluate small modifications of given designs in terms of the optimality criteria at a low computational cost. This can be achieved by using powerful update formulas for the optimality criteria during the design construction. The derivation of such update formulas for evaluating the impact of changes to the levels of easy-to-change factors and hard-to-change factors in split-plot designs as well as the impact of a swap of points between blocks or whole plots in block designs or split-plot designs is described.

Suggested Citation

  • Arnouts, Heidi & Goos, Peter, 2010. "Update formulas for split-plot and block designs," Computational Statistics & Data Analysis, Elsevier, vol. 54(12), pages 3381-3391, December.
    • Handle: RePEc:eee:csdana:v:54:y:2010:i:12:p:3381-3391
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-9473(09)00425-3
    Download Restriction: Full text for ScienceDirect subscribers only.
    ---><---

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

    Other versions of this item:

    References listed on IDEAS

    as
    1. Nguyen, Nam-Ky & Liu, Min-Qian, 2008. "An algorithmic approach to constructing mixed-level orthogonal and near-orthogonal arrays," Computational Statistics & Data Analysis, Elsevier, vol. 52(12), pages 5269-5276, August.
    2. Goos, Peter & Vandebroek, Martina, 2001. "-optimal response surface designs in the presence of random block effects," Computational Statistics & Data Analysis, Elsevier, vol. 37(4), pages 433-453, October.
    3. Nguyen, Nam-Ky & Miller, Alan J., 1992. "A review of some exchange algorithms for constructing discrete D-optimal designs," Computational Statistics & Data Analysis, Elsevier, vol. 14(4), pages 489-498, November.
    4. Kessels, Roselinde & Goos, Peter & Vandebroek, Martina, 2008. "Optimal designs for conjoint experiments," Computational Statistics & Data Analysis, Elsevier, vol. 52(5), pages 2369-2387, January.
    5. J. A. John & D. Whitaker, 2000. "Recursive formulae for the average efficiency factor in block and row‐column designs," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 62(3), pages 575-583.
    6. Bradley Jones & Peter Goos, 2007. "A candidate‐set‐free algorithm for generating D‐optimal split‐plot designs," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 56(3), pages 347-364, May.
    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. CUERVO, Daniel Palhazi & GOOS, Peter & SÖRENSEN, Kenneth, 2013. "An iterated local search algorithm for the construction of large scale D-optimal experimental designs," Working Papers 2013006, University of Antwerp, Faculty of Business and Economics.
    2. SYAFITRI, Utami & SARTONO, Bagus & GOOS, Peter, 2015. "D- and I-optimal design of mixture experiments in the presence of ingredient availability constraints," Working Papers 2015003, University of Antwerp, Faculty of Business and Economics.
    3. Smucker, Byran J. & Castillo, Enrique del & Rosenberger, James L., 2012. "Model-robust designs for split-plot experiments," Computational Statistics & Data Analysis, Elsevier, vol. 56(12), pages 4111-4121.
    4. JONES, Bradley & GOOS, Peter, 2012. "I-optimal versus D-optimal split-plot response surface designs," Working Papers 2012002, University of Antwerp, Faculty of Business and Economics.

    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. GOOS, Peter & VERMEULEN, Bart & VANDEBROEK, Martina, 2008. "D-optimal conjoint choice designs with no-choice options for a nested logit model," Working Papers 2008020, University of Antwerp, Faculty of Business and Economics.
    2. Palhazi Cuervo, Daniel & Goos, Peter & Sörensen, Kenneth, 2017. "An algorithmic framework for generating optimal two-stratum experimental designs," Computational Statistics & Data Analysis, Elsevier, vol. 115(C), pages 224-249.
    3. Moein Saleh & Ming-Hung Kao & Rong Pan, 2017. "Design D-optimal event-related functional magnetic resonance imaging experiments," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 66(1), pages 73-91, January.
    4. Stefano Ciliberti & Simone Del Sarto & Angelo Frascarelli & Giulia Pastorelli & Gaetano Martino, 2020. "Contracts to Govern the Transition towards Sustainable Production: Evidence from a Discrete Choice Analysis in the Durum Wheat Sector in Italy," Sustainability, MDPI, vol. 12(22), pages 1-14, November.
    5. Lukas Kornher & Martin Schellhorn & Saskia Vetter, 2019. "Disgusting or Innovative-Consumer Willingness to Pay for Insect Based Burger Patties in Germany," Sustainability, MDPI, vol. 11(7), pages 1-20, March.
    6. Fewell, Jason E. & Bergtold, Jason S. & Williams, Jeffery R., 2016. "Farmers' willingness to contract switchgrass as a cellulosic bioenergy crop in Kansas," Energy Economics, Elsevier, vol. 55(C), pages 292-302.
    7. Hein, Maren & Goeken, Nils & Kurz, Peter & Steiner, Winfried J., 2022. "Using Hierarchical Bayes draws for improving shares of choice predictions in conjoint simulations: A study based on conjoint choice data," European Journal of Operational Research, Elsevier, vol. 297(2), pages 630-651.
    8. Bergtold, Jason S. & Shanoyan, Aleksan & Fewell, Jason E. & Williams, Jeffery R., 2017. "Annual bioenergy crops for biofuels production: Farmers' contractual preferences for producing sweet sorghum," Energy, Elsevier, vol. 119(C), pages 724-731.
    9. Nguyen, Ly & Gao, Zhifeng & Anderson, James L., 2022. "Regulating menu information: What do consumers care and not care about at casual and fine dining restaurants for seafood consumption?," Food Policy, Elsevier, vol. 110(C).
    10. Smucker, Byran J. & Castillo, Enrique del & Rosenberger, James L., 2012. "Model-robust designs for split-plot experiments," Computational Statistics & Data Analysis, Elsevier, vol. 56(12), pages 4111-4121.
    11. Kalliopi Mylona & Harrison Macharia & Peter Goos, 2013. "Three-level equivalent-estimation split-plot designs based on subset and supplementary difference set designs," IISE Transactions, Taylor & Francis Journals, vol. 45(11), pages 1153-1165.
    12. Balaine, Lorraine & Gallai, Nicola & Del Corso, Jean-Pierre & Kephaliacos, Charilaos, 2020. "Trading off environmental goods for compensations: Insights from traditional and deliberative valuation methods in the Ecuadorian Amazon," Ecosystem Services, Elsevier, vol. 43(C).
    13. Ponce Oliva, Roberto D. & Vasquez-Lavín, Felipe & San Martin, Valeska A. & Hernández, José Ignacio & Vargas, Cristian A. & Gonzalez, Pablo S. & Gelcich, Stefan, 2019. "Ocean Acidification, Consumers' Preferences, and Market Adaptation Strategies in the Mussel Aquaculture Industry," Ecological Economics, Elsevier, vol. 158(C), pages 42-50.
    14. Nguyen, Ly & Gao, Zhifeng & Anderson, James L. & House, Lisa A., 2022. "The Impacts of Covid-19 on Consumers’ Willingness to Pay for Information Transparency at Casual and Fine Dining Restaurants," 2022 Annual Meeting, July 31-August 2, Anaheim, California 322463, Agricultural and Applied Economics Association.
    15. Alves, Maria Odete & Valente, Airton Saboya Jr, 2006. "Comunicação Rural Entre Três Atores Nas Áreas De Concentração De Fruteiras No Nordeste Brasileiro:," 44th Congress, July 23-27, 2006, Fortaleza, Ceará, Brazil 148515, Sociedade Brasileira de Economia, Administracao e Sociologia Rural (SOBER).
    16. Crabbe, M. & Vandebroek, M., 2012. "Improving the efficiency of individualized designs for the mixed logit choice model by including covariates," Computational Statistics & Data Analysis, Elsevier, vol. 56(6), pages 2059-2072.
    17. Nguyen, Nam-Ky & Liu, Min-Qian, 2008. "An algorithmic approach to constructing mixed-level orthogonal and near-orthogonal arrays," Computational Statistics & Data Analysis, Elsevier, vol. 52(12), pages 5269-5276, August.
    18. Li, Xiaogu & Jensen, Kimberly L. & Clark, Christopher D. & Lambert, Dayton M., 2015. "Consumer Willingness-to-Pay for Non-taste Attributes in Beef Products," 2015 Annual Meeting, January 31-February 3, 2015, Atlanta, Georgia 196719, Southern Agricultural Economics Association.
    19. Palhazi Cuervo, Daniel & Kessels, Roselinde & Goos, Peter & Sörensen, Kenneth, 2016. "An integrated algorithm for the optimal design of stated choice experiments with partial profiles," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 648-669.
    20. Eunae Son & Song Soo Lim, 2021. "Consumer Acceptance of Gene-Edited versus Genetically Modified Foods in Korea," IJERPH, MDPI, vol. 18(7), pages 1-17, April.

    More about this item

    Statistics

    Access and download statistics

    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:csdana:v:54:y:2010:i:12:p:3381-3391. 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/locate/csda .

    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.