IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v51y2004i8p1129-1148.html
   My bibliography  Save this article

Design of follow‐up experiments for improving model discrimination and parameter estimation

Author

Listed:
  • Szu Hui Ng
  • Stephen E. Chick

Abstract

One goal of experimentation is to identify which design parameters most significantly influence the mean performance of a system. Another goal is to obtain good parameter estimates for a response model that quantifies how the mean performance depends on influential parameters. Most experimental design techniques focus on one goal at a time. This paper proposes a new entropy‐based design criterion for follow‐up experiments that jointly identifies the important parameters and reduces the variance of parameter estimates. We simplify computations for the normal linear model by identifying an approximation that leads to a closed form solution. The criterion is applied to an example from the experimental design literature, to a known model and to a critical care facility simulation experiment. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004

Suggested Citation

  • Szu Hui Ng & Stephen E. Chick, 2004. "Design of follow‐up experiments for improving model discrimination and parameter estimation," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(8), pages 1129-1148, December.
  • Handle: RePEc:wly:navres:v:51:y:2004:i:8:p:1129-1148
    DOI: 10.1002/nav.20046
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/nav.20046
    Download Restriction: no

    File URL: https://libkey.io/10.1002/nav.20046?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
    ---><---

    References listed on IDEAS

    as
    1. P. Dellaportas & A. F. M. Smith, 1993. "Bayesian Inference for Generalized Linear and Proportional Hazards Models Via Gibbs Sampling," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 42(3), pages 443-459, September.
    2. 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.
    3. Leyuan Shi & Sigurdur Ólafsson, 2000. "Nested Partitions Method for Global Optimization," Operations Research, INFORMS, vol. 48(3), pages 390-407, June.
    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. Jason R. W. Merrick, 2009. "Bayesian Simulation and Decision Analysis: An Expository Survey," Decision Analysis, INFORMS, vol. 6(4), pages 222-238, December.

    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. Chang, Kuo-Hao & Kuo, Po-Yi, 2018. "An efficient simulation optimization method for the generalized redundancy allocation problem," European Journal of Operational Research, Elsevier, vol. 265(3), pages 1094-1101.
    2. Lee, Loo Hay & Chew, Ek Peng & Manikam, Puvaneswari, 2006. "A general framework on the simulation-based optimization under fixed computing budget," European Journal of Operational Research, Elsevier, vol. 174(3), pages 1828-1841, November.
    3. K J Wilson & M Farrow, 2010. "Bayes linear kinematics in the analysis of failure rates and failure time distributions," Journal of Risk and Reliability, , vol. 224(4), pages 309-321, December.
    4. David R. Morrison & Jason J. Sauppe & Wenda Zhang & Sheldon H. Jacobson & Edward C. Sewell, 2017. "Cyclic best first search: Using contours to guide branch‐and‐bound algorithms," Naval Research Logistics (NRL), John Wiley & Sons, vol. 64(1), pages 64-82, February.
    5. 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.
    6. David Dunson, 2003. "Incorporating heterogeneous intercourse records into time to pregnancy models," Mathematical Population Studies, Taylor & Francis Journals, vol. 10(2), pages 127-143.
    7. 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.
    8. David B. Dunson, 2001. "Bayesian Modeling of the Level and Duration of Fertility in the Menstrual Cycle," Biometrics, The International Biometric Society, vol. 57(4), pages 1067-1073, December.
    9. 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.
    10. Tahir Ekin & Stephen Walker & Paul Damien, 2023. "Augmented simulation methods for discrete stochastic optimization with recourse," Annals of Operations Research, Springer, vol. 320(2), pages 771-793, January.
    11. Garth Holloway & Donald Lacombe & James P. LeSage, 2007. "Spatial Econometric Issues for Bio‐Economic and Land‐Use Modelling," Journal of Agricultural Economics, Wiley Blackwell, vol. 58(3), pages 549-588, September.
    12. Lingxuan Liu & Leyuan Shi, 2019. "Simulation Optimization on Complex Job Shop Scheduling with Non-Identical Job Sizes," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 36(05), pages 1-26, October.
    13. Dorinth van Dijk, 2019. "Local Constant-Quality Housing Market Liquidity Indices," DNB Working Papers 637, Netherlands Central Bank, Research Department.
    14. Choi, Hyunhong & Koo, Yoonmo, 2018. "Using Contingent Valuation and Numerical Methods to Determine Optimal Locations for Environmental Facilities: Public Arboretums in South Korea," Ecological Economics, Elsevier, vol. 149(C), pages 184-201.
    15. Gino Lim & Laleh Kardar & Wenhua Cao, 2014. "A hybrid framework for optimizing beam angles in radiation therapy planning," Annals of Operations Research, Springer, vol. 217(1), pages 357-383, June.
    16. Michael Macgregor Perry, 2021. "Fisheries Management in Congested Waters: A Game-Theoretic Assessment of the East China Sea," Papers 2110.13966, arXiv.org, revised Feb 2022.
    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. Jeffrey D. Camm & James J. Cochran & David J. Curry & Sriram Kannan, 2006. "Conjoint Optimization: An Exact Branch-and-Bound Algorithm for the Share-of-Choice Problem," Management Science, INFORMS, vol. 52(3), pages 435-447, March.
    19. Bradley P. Carlin & James S. Hodges, 1999. "Hierarchical Proportional Hazards Regression Models for Highly Stratified Data," Biometrics, The International Biometric Society, vol. 55(4), pages 1162-1170, December.
    20. Godolphin, J.D. & Warren, H.R., 2014. "An efficient procedure for the avoidance of disconnected incomplete block designs," Computational Statistics & Data Analysis, Elsevier, vol. 71(C), pages 1134-1146.

    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:wly:navres:v:51:y:2004:i:8:p:1129-1148. 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: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1520-6750 .

    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.