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並列摘要


Normality (symmetric) of the random effects and the within-subject errors is a routine assumptions for the linear mixed model, but it may be unrealistic, obscuring important features of among- and within-subjects variation. We relax this assumption by considering that the random effects and model errors follow a skew-normal distributions, which includes normality as a special case and provides flexibility in capturing a broad range of non-normal behavior. The marginal distribution for the observed quantity is derived which is expressed in closed form, so inference may be carried out using existing statistical software and standard optimization techniques. We also implement an EM type algorithm which seem to provide some advantages over a direct maximization of the likelihood. Results of simulation studies and applications to real data sets are reported.

被引用紀錄


彭健育(2008)。高可靠度產品之衰變試驗分析〔博士論文,國立清華大學〕。華藝線上圖書館。https://doi.org/10.6843/NTHU.2008.00206
Lin, R. T. (2014). 社會、經濟及政治因素對全球人口健康影響之比較研究 [doctoral dissertation, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU.2014.00007
林佑駿(2013)。關於偏斜常態的尺度混合分佈之研究〔碩士論文,國立臺北大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0023-2407201315224900
蕭智宇(2014)。偏斜常態分布下之生物對等性檢定〔碩士論文,國立中央大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0031-0412201511581647
張漢揚(2016)。偏斜分佈之分層模型研究〔碩士論文,國立臺北大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0023-1303201714250789

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