OPTIMAL TIMING AND THE WEBER FUNCTION
OPTIMAL TIMING AND THE WEBER FUNCTION
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DOI：
10.1037/0033-295x.94.4.455
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发表时间：
1987-10-01
影响因子：
5.4
通讯作者：
WEISS, NA
中科院分区：
文献类型：
--
作者：
KILLEEN, PR;WEISS, NA
对自己进行计数是如何帮助我们估计时间间隔的？为了解决这个问题，我们开发了一个通用的时钟-计数器持续时间区分模型，允许在计时和计数过程中都存在误差。我们表明，为了最大限度地减少时间判断中的可变性，将待判断的区间划分为子区间通常对受试者有利。子间隔的最佳持续时间将取决于将方差与子间隔的持续时间和数目相关联的基本误差方程的参数；然而，在大多数情况下，最佳持续时间将独立于要被定时的间隔的持续时间。从我们的分析中得到的韦伯函数的典范形式将时间歧视的各种其他模型所预测的形式作为特例。在很长的时间间隔内，它简化为韦伯定律，该定律中的常数仅是计数误差的函数。
How is it that counting to ourselves helps us to estimate an interval of time? To address this question, we develop a generalized clock-counter model of duration discrimination that allows error in both the timing and the counting processes. We show that in order to minimize variability in temporal judgments, it is usually to the subject's advantage to segment the interval to be judged into subintervals. The optimal duration of the subintervals will depend on the parameters of the fundamental error equations that relate variance to the duration and number of the subintervals; in most cases, however, the optimal duration will be independent of the duration of the interval to be timed. The canonical form of the Weber function derived from our analysis takes as special cases the forms predicted by various other models of temporal discrimination. For long intervals it reduces to Weber's law, with the constant in that law solely a function of counting error.