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澄清用于计算折扣数据曲线下的面积:初步和技术报告
Jonathan E Friedel1, Katilyn M Ashley Treem1, Charles C J Frye2
1Georgia Southern University, Statesboro, GA, USA.
Journal of the experimental analysis of behavior
|July 14, 2025
概括
本研究回顾了用于测量折扣的曲线下的面积 (AUC),强调了其局限性. 我们提出了更直观的AUC计算方法,并为研究人员提供了工具.
科学领域:
- 行为经济学是一种行为经济学.
- 决策科学 决策科学 决策科学
- 心理学 心理学 心理学
背景情况:
- 折扣,即对未来奖励的值,是跨学科研究的人类决策的一个关键方面.
- 曲线下的面积 (AUC) 是用于量化折扣行为的广泛使用的指标.
研究的目的:
- 在折扣的背景下提供AUC的全面审查,检查其理论基础和计算方法.
- 识别和讨论传统AUC测量和最近修改 (顺序和对数AUC) 的局限性.
主要方法:
- 审查关于AUC和折扣的现有文献.
- 对顺序和对数AUC的数学和概念基础的分析.
- 提出了一种用于计算对数AUC的新方法,以及用于归算无关点的策略.
主要成果:
- 传统的AUC测量有其局限性,特别是关于在y截面上的无差点的归算.
- 顺序AUC需要删除有意义的x轴信息,而对数AUC可以产生非直观的值.
- 提出了一种用于移动无差点的新方法,以提高对数 AUC 计算的直观性.
结论:
- 目前用于贴现的AUC方法存在重大限制,这可能会影响解释和计算的准确性.
- 对于有效的AUC测量来说,在y截面上对无差点的一致的归算至关重要.
- 提出的方法和提供的工具旨在提高AUC在贴现研究中的可靠性和可解释性.
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