國家衛生研究院 NHRI:Item 3990099045/4399
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    Please use this identifier to cite or link to this item: http://ir.nhri.org.tw/handle/3990099045/4399


    Title: Three-level main-effects designs exploiting prior information about model uncertainty
    Authors: Tsai, PW;Gilmour, SG;Mead, R
    Contributors: Division of Biostatistics and Bioinformatics
    Abstract: To explore the projection efficiency of a design, Tsai, et al [2000. Projective three-level main effects designs robust to model uncertainty. Biometrika 87, 467-475] introduced the Q criterion to compare three-level main-effects designs for quantitative factors that allow the consideration of interactions in addition to main effects. In this paper, we extend their method and focus on the case in which experimenters have some prior knowledge, in advance of running the experiment, about the probabilities of effects being non-negligible. A criterion which incorporates experimenters' prior beliefs about the importance of each effect is introduced to compare orthogonal, or nearly orthogonal, main effects designs with robustness to interactions as a secondary consideration. We show that this criterion, exploiting prior information about model uncertainty, can lead to more appropriate designs reflecting experimenters' prior beliefs.
    Date: 2007-02
    Relation: Journal of Statistical Planning and Inference. 2007 Feb;137(2):619-627.
    Link to: http://dx.doi.org/10.1016/j.jspi.2006.01.003
    JIF/Ranking 2023: http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=NHRI&SrcApp=NHRI_IR&KeyISSN=0378-3758&DestApp=IC2JCR
    Cited Times(WOS): https://www.webofscience.com/wos/woscc/full-record/WOS:000241544000019
    Cited Times(Scopus): http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=33749487248
    Appears in Collections:[Pi-Wen Tsai(2004-2006)] Periodical Articles

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