Graphical Methods Based on Power-normal Distribution for Evaluation of Medical Diagnostic Data

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Other Title
  • ベキ正規分布に基づく臨床検査値を評価するための統計的グラフィクスの構成
  • ベキ セイキ ブンプ ニ モトズク リンショウ ケンサチ オ ヒョウカ スル タメ ノ トウケイテキ グラフィクス ノ コウセイ

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Abstract

In the medical field, accurate diagnosis of diseases is pivotal. The receiver operating characteristic (ROC) curve is a useful statistical graphic for evaluating laboratory test values in medical diagnosis. In recent years, some ROC curve methods and statistical inference methods based on the ROC curve have been proposed (e.g., Pepe, 1998: Wieand et al., 1989: Zou and Hall, 2000: Zweig and Campbell, 1993). However, few studies have identified the problem of the ROC curve regarding graphical representation. In this study, we consider this problem and develop three kinds of statistical graphics, namely, skill plot, likelihood ratio plot, and skillness plot. These plots were developed on the basis of power-normal distribution. The usefulness of these statistical graphics was evaluated using two practical examples. The results showed that our proposed graphics can overcome the problem of the ROC curve.

Journal

  • Ouyou toukeigaku

    Ouyou toukeigaku 41 (1), 17-37, 2012

    Japanese Society of Applied Statistics

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