Multiple-event forced-choice tasks in the theory of signal detectability
Multiple-event forced-choice tasks in the theory of signal detectability
复制标题
DOI：
10.1006/jmps.1996.0024
复制
发表时间：
1996-09-01
影响因子：
1.8
通讯作者：
Scurfield, BK
中科院分区：
文献类型：
--
作者：
Scurfield, BK
接收者操作特征（ROC）分析被推广到涉及三个或更多事件的一维强制选择任务。结果表明，观察者在具有 n 个独立事件的一维识别任务中的表现可以用 n！ n 维 ROC 空间。每个 ROC 空间都与事件和决策的唯一配对相关联。通过操纵观察者的决策标准，可以在每个 ROC 空间中生成超曲面。使用信息论，定义了一种基于超曲面下超体积的可辨别性的新度量。该度量用 D 表示，是非参数的且独立于标准。 D 的值随着 n 单调增加，并且等于 n 间隔强制选择任务中观察者的通道容量。给出了根据评级和 ROC 曲线计算 ROC 超曲面的过程。 (C) 1996 年学术出版社。公司
Receiver operating characteristic (ROC) analysis is generalized to unidimensional forced-choice tasks involving three or more events. It is shown that the performance of an observer in a unidimensional identification task with n independent events can be represented in n! ROC spaces of dimension n. Each ROC space is associated with a unique pairing of the events and decisions. A hypersurface can be generated in each ROC space by manipulating the observer's decision criteria. Using information theory, a new measure of discriminability based on the hypervolumes under the hypersurfaces is defined. This measure, denoted D, is nonparametric and independent of the criteria. The value of D is shown to increase monotonically with n and to be equal to the channel capacity of an observer in an n-interval forced-choice task. Procedures to compute ROC hypersurfaces from ratings and from ROC curves are given. (C) 1996 Academic Press. Inc.