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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/74158

    Title: 雙因子套層隨機效應模型的準確容許界限
    Other Titles: Accurate tolerance limits for a two-way nested random effects model
    Authors: 李書豪;Lee, Su-Hao
    Contributors: 淡江大學數學學系博士班
    陳順益;Chen, Shun-Yi
    Keywords: 信賴水準;非中心t分配;變異數比值;均方比值;Confidence level;Noncentral t distribution;Variance ratio;Mean square ratio
    Date: 2011
    Issue Date: 2011-12-28 18:12:12 (UTC+8)
    Abstract: 本論文針對平衡的雙因子套層隨機效應模型 (two-way nested
    random effects model) 推導出單邊容許界限。我們藉由 Chen 和
    Harris(2006) 所提出的方法,即在估計量為未知期望均方比值
    (unknown expected mean square ratio)的條件下,求條件機率密
    方分配,並以此統計量建立一個精準 (exact)的單邊容許界限。利
    We consider in this article a method of constructing accurate $beta$-content tolerance limits for a two-way nested model with normal random effects. The procedure is derived by conditioning on an estimator of the unknown expected mean square ratio as proposed in Chen and Harris (2006). Simulation studies indicate that the present procedure is less conservative than current existing methods and gives more accurate coverage rates. Statistical tables needed to implement the procedure are included.
    Appears in Collections:[數學學系暨研究所] 學位論文

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