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    Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/92267

    Title: 成對設計下半陽性預測值的強韌概似函數推論;Robust likelihood inferences for comparing the semi-positive values of diagnostic procedures in paired designs
    Authors: 江為民;Jiang, Wei-Min
    Contributors: 統計研究所
    Keywords: 強韌概似函數;篩檢;成對設計;陽性預測值;半陽性預測值
    Date: 2023-07-25
    Issue Date: 2023-10-04 15:24:43 (UTC+8)
    Publisher: 國立中央大學
    Abstract: 癌症篩檢上,不僅是得病與否受人關注,腫瘤位置也十分重要,因此Lim et al. (2018)提出半陽性預測值(Semi-Positive Prediction Value)與半敏感度(Semi-Sensitivity)兩個新指標,並且在成對設計下以聯合分配為基礎,使用Bennett (1972)的統計方法,提出了比較兩個篩檢的半陽性預測值與半敏感度的卡方檢定統計量。
    ;Robust likelihood inferences for comparing the semi-positive values of diagnostic procedures in paired designs


    In cancer screening, not only the disease is concerned, but also the location of the tumor is very important. Therefore, Lim et al. (2018) proposed semi-positive predictive value and semi-sensitivity two new indicators, and based on joint distribution in paired designs, using the statistical method of Bennett (1972), a chi-square test statistic comparing the semi-positive predictive values and semi-sensitivity of the two screening tests was proposed.
    This paper presents a method for comparing the semi-positive predictive values of two screens with a robust likelihood function. Compared with the above-mentioned joint distribution, we assume data independence, that is, ignore the correlation, and use the working model under independence. For the parameter of interest, that is, the difference between the semi-positive predictive values of the two screens, we robustify the actual likelihood function and propose a robust statistic based on the correct likelihood function. We utilize simulations to compare our statistic and other current existing test statistics.
    Appears in Collections:[統計研究所] 博碩士論文

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