IDEAS home Printed from https://ideas.repec.org/a/spr/testjl/v29y2020i1d10.1007_s11749-019-00654-6.html
   My bibliography  Save this article

Optimal designs in multiple group random coefficient regression models

Author

Listed:
  • Maryna Prus

    (Otto von Guericke University)

Abstract

The subject of this work is multiple group random coefficients regression models with several treatments and one control group. Such models are often used for studies with cluster randomized trials. We investigate A-, D- and E-optimal designs for estimation and prediction of fixed and random treatment effects, respectively, and illustrate the obtained results by numerical examples.

Suggested Citation

  • Maryna Prus, 2020. "Optimal designs in multiple group random coefficient regression models," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(1), pages 233-254, March.
  • Handle: RePEc:spr:testjl:v:29:y:2020:i:1:d:10.1007_s11749-019-00654-6
    DOI: 10.1007/s11749-019-00654-6
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11749-019-00654-6
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s11749-019-00654-6?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. Patton, G.C. & Bond, L. & Carlin, J.B. & Thomas, L. & Butler, H. & Glover, S. & Catalano, R. & Bowes, G., 2006. "Promoting social inclusion in schools: A group-randomized trial of effects on student health risk behavior and well-being," American Journal of Public Health, American Public Health Association, vol. 96(9), pages 1582-1587.
    2. Maryna Prus & Rainer Schwabe, 2016. "Optimal designs for the prediction of individual parameters in hierarchical models," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 78(1), pages 175-191, January.
    3. Harman, Radoslav & Prus, Maryna, 2018. "Computing optimal experimental designs with respect to a compound Bayes risk criterion," Statistics & Probability Letters, Elsevier, vol. 137(C), pages 135-141.
    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. Renata Eirini Tsirpitzi & Frank Miller & Carl-Fredrik Burman, 2023. "Robust optimal designs using a model misspecification term," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 86(7), pages 781-804, October.
    2. Liu, Xin & Ye, Min & Yue, Rong-Xian, 2021. "Optimal designs for comparing population curves in hierarchical models," Statistics & Probability Letters, Elsevier, vol. 178(C).

    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. Maryna Prus & Hans-Peter Piepho, 2021. "Optimizing the Allocation of Trials to Sub-regions in Multi-environment Crop Variety Testing," Journal of Agricultural, Biological and Environmental Statistics, Springer;The International Biometric Society;American Statistical Association, vol. 26(2), pages 267-288, June.
    2. Prus, Maryna, 2023. "Optimal designs for prediction of random effects in two-groups models with multivariate response," Journal of Multivariate Analysis, Elsevier, vol. 198(C).
    3. Maryna Prus, 2019. "Optimal designs for minimax-criteria in random coefficient regression models," Statistical Papers, Springer, vol. 60(2), pages 465-478, April.
    4. Renata Eirini Tsirpitzi & Frank Miller & Carl-Fredrik Burman, 2023. "Robust optimal designs using a model misspecification term," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 86(7), pages 781-804, October.
    5. Xin Liu & Rong-Xian Yue & Weng Kee Wong, 2019. "D-optimal designs for multi-response linear mixed models," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 82(1), pages 87-98, January.
    6. Maryna Prus, 2023. "Optimal designs for prediction in random coefficient regression with one observation per individual," Statistical Papers, Springer, vol. 64(4), pages 1057-1068, August.
    7. Lei He & Rong-Xian Yue, 2021. "D-optimal designs for hierarchical linear models with intraclass covariance structure," Statistical Papers, Springer, vol. 62(3), pages 1349-1361, June.
    8. Liu, Xin & Ye, Min & Yue, Rong-Xian, 2021. "Optimal designs for comparing population curves in hierarchical models," Statistics & Probability Letters, Elsevier, vol. 178(C).
    9. Harman, Radoslav & Prus, Maryna, 2018. "Computing optimal experimental designs with respect to a compound Bayes risk criterion," Statistics & Probability Letters, Elsevier, vol. 137(C), pages 135-141.
    10. Sergio Longobardi & Margherita Maria Pagliuca & Andrea Regoli, 2022. "School climate and academic performance of Italian students: the role of disciplinary behaviour and parental involvement," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 31(5), pages 1355-1373, December.
    11. Liu, Xin & Yue, Rong-Xian & Chatterjee, Kashinath, 2020. "Geometric characterization of D-optimal designs for random coefficient regression models," Statistics & Probability Letters, Elsevier, vol. 159(C).
    12. He, Lei & He, Daojiang, 2020. "R-optimal designs for individual prediction in random coefficient regression models," Statistics & Probability Letters, Elsevier, vol. 159(C).
    13. Terry Guirado & Camille Chambonnière & Jean-Philippe Chaput & Lore Metz & David Thivel & Martine Duclos, 2021. "Effects of Classroom Active Desks on Children and Adolescents’ Physical Activity, Sedentary Behavior, Academic Achievements and Overall Health: A Systematic Review," IJERPH, MDPI, vol. 18(6), pages 1-31, March.
    14. Albert Lee, 2009. "Health-promoting schools," Applied Health Economics and Health Policy, Springer, vol. 7(1), pages 11-17, March.
    15. Prus, Maryna, 2019. "Various optimality criteria for the prediction of individual response curves," Statistics & Probability Letters, Elsevier, vol. 146(C), pages 36-41.
    16. Sara Heller & Harold A. Pollack & Roseanna Ander & Jens Ludwig, 2013. "Preventing Youth Violence and Dropout: A Randomized Field Experiment," NBER Working Papers 19014, National Bureau of Economic Research, Inc.
    17. Pound, Pandora & Campbell, Rona, 2015. "Exploring the feasibility of theory synthesis: A worked example in the field of health related risk-taking," Social Science & Medicine, Elsevier, vol. 124(C), pages 57-65.
    18. Gladys Uzoechina & Pearl Nwabuogo Okoye, 2020. "Relationship between School Connectedness and Secondary School Students’ Academic Outcomes in English Language in Anambra State, Nigeria," International Journal of Research and Innovation in Social Science, International Journal of Research and Innovation in Social Science (IJRISS), vol. 4(10), pages 393-397, October.
    19. Xin Liu & Rong‐Xian Yue & Weng Kee Wong, 2022. "Equivalence theorems for c and DA‐optimality for linear mixed effects models with applications to multitreatment group assignments in health care," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 49(4), pages 1842-1859, December.
    20. Xiao-Dong Zhou & Yun-Juan Wang & Rong-Xian Yue, 2018. "Robust population designs for longitudinal linear regression model with a random intercept," Computational Statistics, Springer, vol. 33(2), pages 903-931, June.

    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:testjl:v:29:y:2020:i:1:d:10.1007_s11749-019-00654-6. 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.