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d[公式:见正文]:最佳准则位置处的灵敏度。

d[Formula: see text]: Sensitivity at the optimal criterion location.

机构信息

Department of Psychology, University of Winnipeg, Winnipeg, R3B 2E9, Canada.

出版信息

Behav Res Methods. 2023 Aug;55(5):2532-2558. doi: 10.3758/s13428-022-01913-5. Epub 2022 Sep 1.

Abstract

Signal detection theory (SDT) was developed to provide a measure of the discriminability of a signal against background noise, independently of response bias. However, equal discriminability over a range of bias is only achieved by the traditional signal detection measure d[Formula: see text] under a narrow set of conditions - i.e., binormal noise and signal distributions of equal variance and base rates. In response to observed departures from these conditions, more robust alternative measures of d[Formula: see text] have been developed, including d and, more recently, d[Formula: see text]. Each of these alternatives addresses some, but not all, of the difficulties that arise when the assumptions of SDT are violated. Moreover, none of these measures directly follow from a central idea of discriminability by an observer that adopts a minimize error count (MEC) strategy. I propose a new d[Formula: see text] alternative, d[Formula: see text], that is robust to violations of the standard signal detection assumptions, remains consistent with varying bias, and is grounded in the principle of discriminability following a MEC strategy. Simulations illustrate how d[Formula: see text] is similar to the recently developed d[Formula: see text] when the observer optimizes their criterion placement to minimize the number of errors but, unlike d[Formula: see text], remains consistent irrespective of the observer's criterion placement Moreover, unlike d, d[Formula: see text] reflects changes in discriminability related to base rates of signal vs. noise presentations. The use of d[Formula: see text] also has implications for the interpretation of bias metrics, such as β and c, which are examined at the optimal criterion under a variety of conditions.

摘要

信号检测理论 (SDT) 旨在提供一种衡量信号对背景噪声的可分辨性的方法,而不受响应偏差的影响。然而,传统的信号检测度量 d[Formula: see text]只有在一系列严格条件下才能实现对偏差的范围的可分辨性,即正态噪声和信号分布的方差和基本率相等。为了应对这些条件的偏离,已经开发了更稳健的替代 d[Formula: see text]度量方法,包括 d 和最近开发的 d[Formula: see text]。这些替代方法中的每一种都解决了 SDT 假设被违反时出现的一些问题,但并非所有问题。此外,这些度量方法都没有直接遵循观察者采用最小错误计数 (MEC) 策略的可分辨性的核心思想。我提出了一种新的 d[Formula: see text]替代方法 d[Formula: see text],它对违反标准信号检测假设具有鲁棒性,仍然与变化的偏差一致,并且基于遵循 MEC 策略的可分辨性原则。模拟说明了当观察者优化其准则位置以最小化错误数量时,d[Formula: see text]与最近开发的 d[Formula: see text]相似,但与 d[Formula: see text]不同,它与观察者的准则位置无关。此外,与 d 不同,d[Formula: see text]反映了与信号与噪声呈现的基本率相关的可分辨性变化。d[Formula: see text]的使用也对偏差度量指标(如 β 和 c)的解释产生了影响,在各种条件下,在最优准则下对其进行了研究。

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