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    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/62436


    Title: Optimal Two-Level Fractional Factorial Designs for Location Main Effects with Dispersion Factors
    Authors: 張富凱;丁兆平
    Chang, Fu-Ka;Ting, Chao-Ping
    Contributors: 政大統計系
    Keywords: A-optimality;D-optimality;Dispersion effect;Location effects
    Date: 2011-06
    Issue Date: 2013-12-12 18:03:59 (UTC+8)
    Abstract: In two-level fractional factorial designs, homogeneous variance is commonly assumed in analysis of variance. When the variance of the response variable changes when a factor changes from one level to another, we call that factor the dispersion factor. However, the problem of finding optimal designs when dispersion factors are present is relatively unexplored. In this article, we focus on finding optimal designs for the estimation of all location main effects when there are one or two dispersion factors, in the class of regular single replicated two-level fractional factorial designs of resolution III or higher. We show that by appropriate naming of the dispersion factors, D-optimal and A-optimal designs can be identified. Table of D-optimal resolution III designs with two dispersion factors is given.
    Relation: Communications in Statistics - Theory and Methods, 40(11), 2035-2043
    Data Type: article
    DOI link: http://dx.doi.org/10.1080/03610921003725804
    DOI: 10.1080/03610921003725804
    Appears in Collections:[Department of Statistics] Periodical Articles

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