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    题名: Evaluating reliability of tree-patterns in extreme-K categorical samples problems
    作者: 周珮婷
    Chou, Elizabeth
    Hsieh, Yin-Chen
    Enriquez, Sabrina
    Hsieh, Fushing
    贡献者: 統計系
    关键词: Extreme-K;exploratory data analysis;hierarchical clustering;ANOVA
    日期: 2021-07
    上传时间: 2022-04-12
    摘要: Exploratory Data Analysis (EDA) approaches are adopted to address the difficult extreme-K categorical sample problem. Due to observed data`s categorical nature, all comparisons among populations are performed by comparing their distributions in the form of a histogram with symbolic bins. A distance measure is designed to evaluate the discrepancy between two symbol-based histograms to facilitate Hierarchical Clustering (HC) algorithms. The resultant binary HC-tree then serves as the basis for our EDA task of discovering tree-patterns of interest. Since each population-leaf`s location within a binary HC-tree`s geometry is expressed through a binary code sequence, a binary code segment characterizes all commonly shared tree-patterns for all members. We then generate a large ensemble of mimicries of the observed dataset based on multinomial distributions and construct a large ensemble of binary HC-trees. Upon each identified tree-pattern which we determined based on the observed dataset, we evaluate its reliability and uncertainty through two histograms.
    關聯: Journal of Statistical Computation and Simulation, Vol.91, No.18, pp.3828-3849
    数据类型: article
    DOI 連結: https://doi.org/10.1080/00949655.2021.1951266
    DOI: 10.1080/00949655.2021.1951266
    显示于类别:[統計學系] 期刊論文

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